Simulator Library
Fluid Mechanics Simulators
Fluid simulators for pipe flow, pumps, valves, aerodynamics, compressible flow, turbulence, and cavitation.
166 simulators
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Simulator list
Added Mass Simulator
Accelerate a body through a fluid and it must move the surrounding fluid too, so it behaves as if it were heavier. This tool computes that "added (virtual) mass" from th…
Aerodynamic Drag Simulator — Drag Force & Terminal Velocity
Aerodynamics
Explore aerodynamic drag and terminal velocity with a real-time simulator. Adjust shape, mass, and air density to visualize the physics of flight.
Aerosol Deposition Simulator — Stokes Settling & Diffusion Calculator
Adjust particle size, density, and temperature to calculate Stokes settling velocity, Brownian diffusion coefficient, Cunningham correction factor, and Stokes number in …
Aerosol Particle Dynamics Calculator
Calculate aerosol particle dynamics: settling velocity, diffusion, Stokes number, aerodynamic diameter, and lung deposition fraction with this advanced tool.
Aircraft Performance Calculator
Aerodynamics
Calculate aircraft performance with our . Compute stall speed, cruise speed, rate of climb, and Breguet range using real-time ISA atmosphere models.
Breguet Range Equation Simulator
Aerodynamics
Compute how far a jet aircraft can fly on a single tank of fuel using the Breguet range equation.
Aircraft Take-Off Distance & V1/Vr Simulator
Aerodynamics
Change aircraft type, take-off weight, OAT, pressure altitude, headwind, flap setting and runway slope to see TORA, TODA, BFL and V1/Vr/V2 update in real time. Useful fo…
Airfoil Lift Calculator — CL, CD & L/D with Thin Airfoil Theory
Aerodynamics
Calculate lift, drag & L/D ratio for NACA airfoils. Adjust angle of attack, speed & wing geometry in real-time with this interactive airfoil calculator.
Airfoil (NACA 4-Digit) Simulator
Aerodynamics
Simulate NACA 4-digit airfoils in real time. Generate profiles, calculate lift/drag coefficients, pressure distribution, and lift curves instantly.
Archimedes Buoyancy Simulator
Set object density, volume and fluid to calculate buoyancy
Atmospheric Boundary Layer Profile Calculator — Log Law & Power Law
Calculate wind speed at any height. Compare log law vs power law profiles for any terrain and reference wind speed. Visualize with interactive terrain sketch.
Baseball Pitch Magnus Force Simulator
Adjust spin rate, pitch speed and axis angle to see how the ball curves
Bernoulli Theorem Applications Simulator
Adjust upstream velocity, pipe diameter, and fluid density to visualize pressure distribution in a Venturi tube with diameter-ratio sensitivity and device comparison acr…
Bernoulli's Theorem Pipe Flow Visualizer
Pipe Flow & Pumps
Visualize Bernoulli's Theorem in real time. Adjust pipe diameter, pressure, velocity & elevation to see dynamic fluid flow and energy conservation.
Bingham Plastic Fluid Simulator — Yield-Stress Non-Newtonian Fluid
Pipe Flow & Pumps
Real-time evaluation of the Bingham plastic constitutive law $\\tau = \\tau_y + \\mu_p\\,\\dot{\\gamma}$ for shear stress $\\tau$, apparent viscosity $\\mu_{\\text{app}}…
Blasius Boundary Layer Simulator — Flat-Plate δ and C_f
Aerodynamics
Compute laminar flat-plate boundary layer 99% thickness δ_99, displacement thickness δ*, momentum thickness θ, and local skin friction C_f from the Blasius solution in r…
Turbulent Boundary Layer Simulator — Flat Plate 1/7 Power Law
Aerodynamics
Visualize the turbulent boundary layer on a flat plate via the 1/7 power law. Change velocity, position, viscosity and density to compute thickness δ, friction coefficie…
Flat Plate Boundary Layer Growth Simulator
Aerodynamics
Simulate boundary layer growth on a flat plate with our . Visualize velocity profiles and calculate key parameters for your CAE projects.
Buoyancy & Stability Simulator — Metacentric Height GM Calculator
Master buoyancy and stability with our interactive simulator. Adjust hull parameters, compute metacentric height (GM), and visualize the GZ curve in real time.
Buoyancy Calculator
Calculate buoyant force, weight, and apparent weight in real time. Visualize Archimedes' principle with this interactive buoyancy calculator.
Capillary Rise Simulator
Reproduce capillary action — the way a liquid climbs up a narrow tube all on its own, driven only by surface tension. Change the tube diameter, surface tension, contact …
Cavitation Npsh Margin Detail Simulator
Pipe Flow & Pumps
Cavitation Npsh Margin Detail Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
Cavitation Number Simulator
A tool for computing the cavitation number sigma, a dimensionless index of how close a flowing liquid is to vaporising.
Centrifugal Pump Curves Simulator — H-Q & Efficiency
Pipe Flow & Pumps
Simulate centrifugal pump curves by adjusting impeller, speed, and resistance. Visualize H-Q, efficiency, and system curves with operating point and BEP.
CFD Mesh Quality Metrics Calculator
Real-time calculation of aspect ratio, skewness, and orthogonality. Instantly compare against OpenFOAM, ANSYS Fluent, and Star-CCM+ guidelines with interactive radar cha…
Choked Flow Simulator — Critical Conditions and Mass Flow Rate in a Converging Nozzle
Compressible Flow
Visualize the choked condition that occurs when flow in a converging nozzle reaches sonic speed at the throat. Adjust stagnation pressure, stagnation temperature, throat…
Aircraft Rate of Climb Simulator
Aerodynamics
Calculate how fast an aircraft can gain altitude using the excess-power method.
Coanda Effect Simulator — Attachment Angle of a Wall-Attached Jet
Aerodynamics
Visualize a Coanda jet attached to a curved wall. Vary jet thickness and surface radius to change the curvature parameter K=b/R and see when the jet separates.
Compressible Nozzle Area Mach Simulator
Compressible Flow
Compressible Nozzle Area Mach Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
Compressor Design Calculator — Isentropic Compression Simulator
Adjust inlet conditions, pressure ratio, and polytropic efficiency to compute outlet temperature, specific work, isentropic efficiency, and shaft power. Visualize T-s an…
Compressor Polytropic Efficiency Simulator
Compressor Polytropic Efficiency Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
Compressor Surge Margin Map Simulator
Compressor Surge Margin Map Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
Control Valve Cv Cavitation Simulator
Pipe Flow & Pumps
Control Valve Cv Cavitation Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
Rayleigh–Bénard Convection Cells Simulator
Vary the Rayleigh number (Ra) and watch convection cell formation, development, and turbulent transition in real time
Convection-Diffusion Equation Simulator (Numerical Stability)
Simulate 1D convection-diffusion. Compare central, upwind, and QUICK schemes against the analytical solution. Test numerical stability with our .
Couette Flow Simulator — Viscous Flow Between Parallel Plates
For steady laminar flow between parallel plates (top plate at speed U, bottom plate static), vary speed, gap, viscosity, and pressure gradient to see wall shear stress, …
Cyclone Separator Cut Size Simulator
Cyclone Separator Cut Size Simulator updates live numeric results and charts as inputs change, supporting early design checks and model review.
Darcy vs Fanning Friction Factor Simulator
Pipe Flow & Pumps
To describe the same pipe friction, the Darcy and Fanning friction factors differ by exactly a factor of 4. Enter either value to compute both coefficients along with th…
Drag & Lift Force Calculator — Sphere, Cylinder & Flat Plate
Aerodynamics
Compute drag force, lift force, terminal velocity, and Karman vortex frequency in real time from a Reynolds-number-dependent Cd curve. Change geometry, fluid, and veloci…
Drag Coefficient Calculator
Aerodynamics
Calculate drag force, Reynolds number, terminal velocity & power for any shape. Input fluid, velocity, and temperature. View interactive plots instantly.
Air Drag & Terminal Velocity Simulator
Aerodynamics
Simulate falling objects with air drag. Adjust mass, drag, and area in real-time. Explore skydiver to raindrop presets and key physics equations.
HVAC Duct Sizing Simulator — Rectangular Duct Pressure Drop
Pipe Flow & Pumps
From flow rate, width, height, and length, compute in real time the hydraulic diameter, mean velocity, unit-length pressure drop, and total pressure drop of a rectangula…
Viscosity & Rheology Simulator — Newtonian and Non-Newtonian Fluid Models
Visualize viscosity curves & Couette flow for Newtonian and non-Newtonian fluids in real time. Explore rheology with temperature effects.
Airship Helium Buoyancy & Lift Simulator
Aerodynamics
Explore the buoyancy and useful payload of helium-filled lighter-than-air (LTA) vehicles — Zeppelin rigid airships, Goodyear blimps and stratospheric HAPS — with an ISA …
Pipe Entrance Region & Development Length Simulator
Pipe Flow & Pumps
A tool to calculate the entrance length — the development length Le — over which a velocity profile becomes complete after fluid enters a pipe.
Ergun Equation Simulator — Pressure Drop in Packed Beds
Compute the pressure drop per unit length dP/L through a bed of spherical particles in real time from the Ergun equation dP/L = 150 mu u (1-eps)^2 / (eps^3 dp^2) + 1.75 …
Fan Curve & System Curve Calculator
Plot fan and system curves in real time. Automatically calculate the operating point, efficiency, and shaft power using affinity laws.
Fanno Flow Simulator — Compressible Duct Flow with Friction
Compressible Flow
Simulate adiabatic compressible duct flow with friction. Compute exit Mach, T and P ratios and choking length 4fL*/D on the Fanno line in real time.
Filtration Pressure & Filter Media Resistance Calculator
Calculate filtration pressure, filter media resistance, and cake specific resistance in real-time using Darcy's law and the Kozeny-Carman & Ruth equations.
Fire Sprinkler Coverage & NFPA 13 Design Simulator
Size a wet-pipe sprinkler system to NFPA 13 in real time. Pick the hazard class, ceiling height, head spacing and design density to see the required head count, per-head…
Flow Around a Cylinder
Aerodynamics
Visualize potential flow, Karman vortex shedding, and Magnus effect. Calculate lift, drag, and vortex frequency in real-time with streamfunction theory.
Flow Meter Design
Pipe Flow & Pumps
Design ISO 5167 orifice & Venturi flow meters. Compute flow rate Q from ΔP, Cd, and beta ratio. View real-time curves and calculate permanent pressure loss.
Flow Meter Calculator — Orifice, Venturi, Pitot Tube & Electromagnetic
Pipe Flow & Pumps
Compare orifice, venturi, pitot tube & electromagnetic flow meters. Input fluid, pipe size & pressure for instant volumetric flow calculations.
Journal Bearing Simulator — Reynolds Equation & Sommerfeld Number
Analyze hydrodynamic journal bearings with a simulator using the Reynolds equation. Compute pressure, film thickness, and the Sommerfeld number for bearing design.
Bernoulli's Theorem Simulator — Pipe Flow Pressure & Velocity
Pipe Flow & Pumps
Visualize pressure, velocity, and hydraulic head in a pipe system in real time. Experience the core of fluid mechanics through Venturi tubes, Pitot tubes, and airfoil li…
Water Hammer Pressure Surge Calculator
Pipe Flow & Pumps
Calculate water hammer pressure surge from rapid valve closure. Input pipe specs, flow velocity & closure time to determine safe operating limits.
Jet Pump (Ejector) Simulator — Entrainment Ratio, Pressure & Efficiency Calculator
Pipe Flow & Pumps
Visualize ejector operation in real time. Adjust motive pressure, flow rate, and suction conditions to instantly calculate performance metrics like entrainment ratio.
Pump & Fan Performance Curve Simulator
Pipe Flow & Pumps
Simulate pump & fan performance curves. Overlay multi-speed H-Q curves, find operating points, and evaluate NPSH with this CAE tool.
Fluid Pressure & Buoyancy Simulator
Explore fluid pressure, buoyancy, and Pascal's law with this interactive simulator. Adjust depth, density, and objects to visualize floating and sinking.
Pump Operating Point Calculator — H-Q Curve & System Curve
Pipe Flow & Pumps
Visualize pump and system curves to find the operating point. Real-time calculation for single or parallel pumps. Optimize your system design instantly.
SPH Fluid Simulator — Particle-Based Liquid Dynamics
Interactive 2D fluid simulator using SPH. Adjust viscosity, see turbulence, and add particles in real-time. Explore fluid dynamics hands-on.
Fluid Statics Hydrostatic Pressure & Buoyancy Calculator
Explore hydrostatic pressure and buoyancy with an interactive simulator. Choose fluid, shape, and density to compute forces and see objects float or sink.
Fluid Viscosity Simulator — Newtonian & Non-Newtonian Rheology
Calculate viscosity, shear stress, and Reynolds number for Newtonian and non-Newtonian fluids (power-law, Bingham plastic) in real time. Compare temperature dependence a…
Fluid Vortex Simulator — Free, Forced & Rankine Vortex Velocity and Pressure
Explore free vortex, forced vortex, and Rankine vortex flows. Adjust circulation Γ, core radius, and angular velocity to visualize velocity profiles, pressure distributi…
Fluidized Bed Simulator — Minimum Fluidization Velocity & Pressure Drop
Fluidized bed simulator. Input particle diameter, density and viscosity to calculate Archimedes number, Umf and terminal velocity Ut in real time via Ergun.
Free Fall & Terminal Velocity Simulator
Aerodynamics
Simulate free fall with air drag. Vary mass, drag, and area. Compare vacuum vs. air fall, learn terminal velocity, and see numerical integration results.
Froude Number Simulator — Subcritical and Supercritical Open Channel Flow
Froude number simulator: real-time Fr = V / sqrt(g y) classification of open channel flow into subcritical, critical and supercritical regimes from V, y, q and g.
Fuel Injection Spray Cone Angle & SMD Simulator
Design fuel-spray formation for diesel common-rail, GDI and port-injection injectors.
Gas Dynamics & Compressible Flow Calculator
Compressible Flow
Calculate isentropic, shock, Rayleigh & Fanno flow parameters in real-time. Input Mach number & specific heat ratio for compressible gas dynamics.
Natural Gas Pipeline Throughput AGA 10 / Weymouth Simulator
Estimate the capacity of high-pressure long-distance natural-gas trunk lines.
Glider Polar Curve & MacCready Speed Simulator
Calculate glider polar curve, best glide speed, and MacCready optimal speed in real-time. Adjust thermal strength and wind with this from .
Hagen-Poiseuille Flow Simulator — Laminar Pipe Flow
Pipe Flow & Pumps
Vary the pipe radius, length, pressure drop, and viscosity to visualize the volume flow rate and parabolic velocity profile of fully developed laminar pipe flow in real …
Harbor Resonance & Natural Period Calculator (Open/Closed Boundary)
Calculate harbor resonance periods & Helmholtz frequency for open/closed basins. Visualize tsunami wave oscillations with real-time tools and formulas.
HVAC Duct Pressure Drop ASHRAE Simulator
Pipe Flow & Pumps
Evaluate the friction loss, fitting loss, total pressure drop, and fan power of an HVAC air duct against the ASHRAE standard.
Hydraulic Diameter Simulator — Non-Circular Ducts
Pipe Flow & Pumps
Compute the hydraulic diameter of rectangular ducts, annular passages and square ducts.
Hydraulic Jump Simulator
Visualize hydraulic jumps in real time. Compute Froude numbers, energy loss, and jump efficiency interactively with this open-channel simulator.
Hydraulic Ram Pump Simulator — Water Hammer Cycle & Efficiency
Pipe Flow & Pumps
Adjust pipe length, diameter, flow velocity, and valve closure time to calculate maximum water hammer pressure, pressure wave speed, and critical closure time using the …
Hydrostatic Pressure Simulator
Set depth and pick a fluid to compute hydrostatic pressure (gauge and absolute) and the force on a 1 m² surface.
ISS Microgravity Marangoni Convection Simulator
In the microgravity environment of the International Space Station (ISS), buoyancy convection disappears and Marangoni convection — driven by surface-tension gradients —…
Jet Impact Force Simulator
Compressible Flow
Calculate the force produced when a fluid jet from a nozzle strikes a flat plate or a curved vane. Change the nozzle diameter, jet velocity, fluid density and surface sh…
Jet Mixing
Jet Mixing links flow rate, pressure loss, and hydraulic margin in a compact simulator page, helping users choose the next calculation from the same engineering cluster.
Karman Vortex Simulator — Strouhal Number and Lock-In
Aerodynamics
Karman vortex simulator: real-time fs = St*V/D for cylinder shedding. Reynolds number, fs/fn ratio and lock-in detection for VIV in bridges, stacks and risers.
Knudsen Number Simulator — Flow Regimes for Rarefied Gases
Compute the mean free path lambda and the Knudsen number Kn = lambda / L in real time from temperature, pressure, molecular diameter and characteristic length, and autom…
Lava Lamp Simulator — Thermal Buoyancy & Natural Convection Physics
Watch thermally buoyant blobs rise when heated and sink when cooled — a hypnotic, physics-accurate simulation of Archimedes' principle, thermal expansion, and natural co…
Lift-Induced Drag Simulator — Wingtip Vortices and L/D Ratio
Aerodynamics
Lift-induced drag simulator: real-time induced drag, total drag, L/D ratio and K-factor from lift coefficient, aspect ratio, Oswald efficiency and parasite drag.
Liquid Pour Simulator — Interactive SPH Particle Fluid
Experience SPH-based particle fluid in real time. Adjust gravity, viscosity, and container shape to intuitively explore fluid dynamics.
Mach Cone Simulator — Sonic Boom from Supersonic Flight
Aerodynamics
Visualise the conical shock wave trailed by a supersonic body (M>1) and the sonic boom that strikes the ground beneath it. Vary the Mach number, sound speed, flight alti…
Mach Number Calculator — Isentropic Flow & Normal Shock Relations
Compressible Flow
Calculate Mach number and heat capacity ratio to instantly compute isentropic flow and normal shock conditions. Visualize subsonic to hypersonic results.
Marine Propeller Wageningen B-Series BP-δ Simulator
Preliminary design tool for marine propellers based on the MARIN Wageningen B-Series open-water tests.
Pipe Fitting Minor Loss Simulator — K-Factor Method
Pipe Flow & Pumps
Add the loss coefficients Sigma K from elbows, valves, and tees to the straight-pipe friction to visualize the total pressure drop, head loss h_L, and equivalent length …
Mixing Calculator — Mass, Volume & Molar Concentration
Calculate mass, volume & molar concentration for 2–3 fluid mixtures. Get dilution factors, flow rates, and target concentrations instantly.
Moody Diagram Simulator — Pipe Friction Factor
Pipe Flow & Pumps
Visualize the friction factor f of pipe flow on the Moody chart from Reynolds number and relative roughness. The Swamee-Jain explicit formula gives f for turbulent flow,…
2D Navier-Stokes Flow Simulator
Run vorticity-stream function CFD for lid-driven cavity flow. Adjust Reynolds number and grid size, then watch vorticity contours and streamlines develop.
Normal Shock Relations Simulator — Compressible Flow
Compressible Flow
Visualize the state across a normal shock in a supersonic stream with the Rankine-Hugoniot relations. Adjust the upstream Mach number, specific-heat ratio, temperature a…
Convergent-Divergent Nozzle (De Laval) Design Calculator
Compressible Flow
Calculate isentropic flow for a De Laval nozzle. Set Mach number, throat area, and stagnation conditions to instantly get pressure and temperature distributions.
Isentropic Nozzle Flow Calculator
Compressible Flow
Compute isentropic nozzle flow properties (Mach number, area ratio A/A*, pressure, temperature, density) in real time. Add optional normal shock to explore supersonic in…
NPSH Simulator — Pump Cavitation Margin Assessment
Aerodynamics
From atmospheric pressure, saturation vapor pressure, suction lift, and pipe friction loss, compute the available NPSH (NPSHa) and the safety margin against required NPS…
Nusselt Correlation Simulator — Dittus-Boelter Correlation for Pipe Flow
Pipe Flow & Pumps
Evaluate the Dittus-Boelter correlation Nu = 0.023 Re^0.8 Pr^n for turbulent pipe flow in real time.
Oblique Shock Wave Simulator — θ-β-M Relation
Compressible Flow
Visualize the oblique shock that stands on a wedge in a supersonic stream using the θ-β-M relation. Adjust the upstream Mach, shock angle, specific-heat ratio and inlet …
Ocean Wave Simulator — Dispersion Relation, Particle Orbits
Explore wave physics with an interactive ocean wave simulator. Adjust parameters to visualize wave profiles, particle orbits, and the dispersion relation.
Open Channel Flow Calculator
Design rectangular, trapezoidal, circular, and triangular channels with Manning's equation. Real-time Q-y curves and cross-section visualization.
Orifice Plate Flow Meter Design Calculator
Pipe Flow & Pumps
ISO 5167 orifice plate flow meter calculator. Input pipe size, beta ratio, differential pressure & fluid to compute discharge coefficient (Cd) and flow rate instantly.
Pipe Bend Thrust Force Simulator
Pipe Flow & Pumps
A pipe elbow carries a large thrust force because it redirects the fluid's momentum. Adjust the pipe diameter, flow rate, gauge pressure, fluid density and bend angle to…
Pipe Flow Pressure Drop Calculator (Moody Chart)
Pipe Flow & Pumps
Calculate pressure drop in pipes with our free Moody chart calculator. Ideal for engineers and students in fluid mechanics. Fast, accurate, and easy to use.
Pipe Network Hardy Cross Simulator
Pipe Flow & Pumps
Explore the Hardy Cross method, the classic iterative technique for finding the flow distribution in a looped pipe network.
Pipe Network Analysis
Pipe Flow & Pumps
Master the Hardy Cross method for pipe networks. Adjust parameters like flow and roughness to analyze a 3-loop, 8-pipe system and instantly see converged results.
Pitot Tube Velocity Simulator
A pitot tube measures flow speed from the difference between total and static pressure. Adjust the differential pressure, fluid and duct diameter to see the Bernoulli-ba…
Potential Flow Around Cylinder Simulator
Visualize 2D potential flow around a cylinder. Explore streamlines, pressure maps, and the Magnus effect with interactive simulations and Cp plots.
Power-Law Fluid Simulator — Ostwald-de Waele Non-Newtonian Model
Real-time evaluation of the Ostwald-de Waele power law $\\tau = K\\,\\dot{\\gamma}^{n}$ for the shear stress $\\tau$, apparent viscosity $\\mu_{\\text{app}}$ and pipe-fl…
Prandtl-Glauert Simulator — Subsonic Compressibility Correction
Aerodynamics
Visualize how the Prandtl-Glauert rule scales the pressure and lift coefficients of a thin airfoil in subsonic flow. Adjust incompressible C_p, C_L, Mach number and gamm…
Prandtl-Meyer Expansion Simulator — Compressible Flow
Compressible Flow
Prandtl-Meyer simulator: compute the turning angle, nu function, downstream pressure and temperature ratio of an isentropic supersonic expansion fan in real time.
Pipe Pressure Drop Calculator (Darcy-Weisbach)
Pipe Flow & Pumps
Calculate pipe pressure drop instantly. Input diameter, length, flow rate & fluid to get Reynolds number, friction factor, and major/minor losses.
Pipe Pressure Drop Calculator
Pipe Flow & Pumps
Calculate pipe pressure drop using Darcy-Weisbach & Colebrook-White. Includes K-factors for fittings, a real-time Moody diagram, and iterative friction solver.
Pressure Relief Valve Sizing (API 520)
Pipe Flow & Pumps
Calculate required orifice area and select the correct API letter designation for pressure relief valves (PRVs) per API 520 standards for gas, vapor, or liquid service.
Propeller Actuator-Disk Simulator
Aerodynamics
A tool for actuator-disk theory (Froude momentum theory), which models a propeller as an infinitely thin disk.
Marine Propeller Cavitation (Thoma + Burrill) Simulator
Evaluate the cavitation behaviour of a marine propeller from ship speed, RPS, diameter and expanded area ratio.
Pump Affinity Laws Simulator (Centrifugal Pump Scaling)
Pipe Flow & Pumps
Explore pump affinity laws with our interactive simulator. Visualize how flow, head, and power scale with speed to quantify VFD energy savings in pumping systems.
Pump Cavitation & NPSH Calculator
Pipe Flow & Pumps
Calculate NPSH available and analyze pump cavitation risk. Use our tool to input suction head, flow, pipe losses, and fluid temperature for system curves.
Centrifugal Pump Design Calculator — H-Q Curve & Operating Point
Pipe Flow & Pumps
Real-time centrifugal pump analysis: instantly determine operating flow rate, shaft power, and specific speed from H-Q and system curve intersection.
Pump Selection · System Curve · Operating Point Calculator
Pipe Flow & Pumps
Learn to fit a pump curve, plot the system curve, and find the operating point. Includes calculations for efficiency, power, NPSH, and affinity laws.
Pump Specific Speed Simulator
Pipe Flow & Pumps
Calculate the specific speed Ns from a pump's duty (flow, total head, speed and number of stages) and identify the optimum impeller shape. Move the sliders and the impel…
Pump Operating Point Simulator — Intersection of Pump and System Curves
Pipe Flow & Pumps
Find the pump operating point at the intersection of pump curve H=H0-kp Q^2 and system curve H=Hstatic+ks Q^2. Live flow Q, head H, hydraulic power, shaft power.
Rayleigh Flow Simulator — Compressible Duct Flow with Heating
Pipe Flow & Pumps
Simulate frictionless compressible duct flow with heat addition. Compute exit Mach, total temperature and pressure ratios on the Rayleigh line in real time.
Reynolds Number Calculator & Flow Regime Map
Interactive Reynolds number calculator with real-time flow regime map. Adjust velocity, characteristic length, and fluid properties to determine laminar, transitional, o…
Reynolds Transport Theorem Simulator — Control Volume Analysis
Perform control volume analysis for converging nozzles, 90° pipe bends, and expanding ducts. Calculate flow rate, velocity, pressure, and reaction force from continuity,…
Richardson Number Simulator — Stability of Stratified Flow
Richardson number simulator: real-time Ri = g B dT L / V^2 for stratified flow. Brunt-Vaisala frequency, mixing-limit velocity, and stability regions at Ri = 0.25 and 1.
Rotameter (Variable-Area Flowmeter) Simulator
A tool to compute the flow rate of a "rotameter" — a float inside a tapered tube. Change the float diameter and density, the fluid density and the tube taper to see the …
Sedimentation Velocity & Stokes' Law Calculator
Calculate terminal velocity with our Stokes' Law calculator. Input particle size, density, and fluid viscosity for real-time results across all flow regimes.
Terminal Settling Velocity Simulator — Sphere Drag and Reynolds Regimes
Aerodynamics
Iteratively compute the terminal settling velocity of a spherical particle. Compare Stokes, intermediate and Newton drag regimes by sweeping diameter and viscosity.
Ship Resistance & Hull Speed Calculator
Calculate ship resistance, power & fuel use with the Holtrop-Menon method. Real-time hull speed calculator for naval architects & engineers.
Ship Stability & Metacentric Height Calculator
Compute KB, BM, GM and GZ righting lever curve in real time. Automatic IMO A.749 stability assessment with heeled cross-section visualization.
Shock Tube Simulator
Compressible Flow
Compute exact 1D Riemann solutions for shock tubes. Visualize pressure, density, and velocity profiles across shock waves, contact discontinuities, and rarefactions.
Siphon Flow Simulator
Pipe Flow & Pumps
Analyse a siphon that carries liquid up and over a point higher than the upper surface, with no pump.
Sluice Gate Flow Simulator
Calculate the free flow that shoots out from beneath a flat vertical gate (a sluice gate) set across a channel.
Sphere Drag Coefficient Simulator — C_D vs Reynolds Number
Aerodynamics
Compute the drag coefficient C_D of a smooth sphere as a function of Reynolds number. Vary flow speed, diameter and fluid properties across the Stokes, Newton and superc…
Strouhal Number & Vortex Shedding Simulator — Karman Vortices and Lock-on
Aerodynamics
Compute the Karman vortex shedding frequency behind a cylinder from velocity, diameter and viscosity. Strouhal number is switched automatically by Reynolds number regime…
Sudden Expansion Loss Simulator — Borda-Carnot
Pipe Flow & Pumps
Calculate the energy loss that occurs at a "sudden expansion" where a pipe widens abruptly.
Surface Tension Simulator — Capillary Rise, Contact Angle & Bubble Pressure
Compute capillary rise, Laplace pressure and Bond number from surface tension, radius and contact angle. Compare water, ethanol, mercury and liquid metals.
Surge Tank Oscillation Simulator
Pipe Flow & Pumps
Analyse the water-level oscillation of a surge tank (surge chamber) on a hydropower headrace tunnel. Adjust the tunnel length and area, the tank area and the steady velo…
Swimming Drag & Power Calculator
Aerodynamics
Calculate hydrodynamic drag and required propulsion power in swimming. Visualize effects of speed, body shape, and stroke style.
Tunnel Fire CFD Ventilation Critical Velocity Simulator
Pipe Flow & Pumps
Compute the critical velocity V_c — the minimum upstream airflow that prevents smoke backlayering in a road-tunnel fire — using the Heselden-Thomas / Kennedy correlation…
Road Tunnel Jet Fan Ventilation Simulator
Pipe Flow & Pumps
Size longitudinal jet-fan ventilation for road tunnels: change length, cross-section, traffic and fire size to get required thrust and fan count.
Tunnel Ventilation Piston Effect Simulator
Pipe Flow & Pumps
Compute piston-effect induced air velocity, outlet CO concentration, required jet-fan power and fire critical velocity for road, high-speed rail and metro tunnels — eval…
Turbine Blade Aerodynamics — NACA Airfoil Lift & Drag
Aerodynamics
Calculate lift and drag for NACA airfoils in real time. Adjust the angle of attack and instantly see the resulting aerodynamic coefficients and airfoil shape.
Turbomachinery Velocity Triangle Simulator — Centrifugal Pump & Turbine
Pipe Flow & Pumps
Manipulate impeller inlet/outlet conditions (peripheral velocity U, axial velocity Cm, inlet angle α₁, relative exit angle β₂) to draw velocity triangles and calculate s…
Turbulence Model Selection Guide & y+ Calculator
Compare k-ε, k-ω SST, Spalart-Allmaras & LES models. Use our y⁺ calculator for first-cell height, friction velocity, and inlet turbulence boundary conditions.
Two-Phase Flow Simulator (Gas-Liquid)
Identify gas-liquid flow patterns and calculate pressure drop with the Baker chart and Lockhart-Martinelli method in this CAE simulation guide.
U-Tube Manometer Simulator — Differential Pressure Measurement
Pipe Flow & Pumps
The U-tube manometer simulator computes the differential pressure between two points in a pipe from the height difference of a heavy manometer fluid column in real time.
Valve Sizing & Cv Flow Coefficient Calculator
Pipe Flow & Pumps
Calculate Cv and Kv for valve sizing of liquids and gases. Use ISA/IEC formulas for choked flow detection, pressure curves, and standard valve selection.
Vehicle Aerodynamic CD & Rear Wing Downforce Simulator
Aerodynamics
Hands-on tool for rear-wing design on F1, LMP1 and sports cars. Slide wing angle, wing area, body CD and DRS on/off and watch the drag coefficient, downforce, drag force…
Venturi Meter Simulator
Pipe Flow & Pumps
Design a Venturi meter, which gently contracts a pipe to create a pressure drop and measures the volumetric flow from that drop. Adjust the upstream and throat diameters…
Viscosity & Rheology Simulator — Newtonian, Power-Law, Bingham
Visualize viscosity curves & Couette flow for Newtonian and non-Newtonian fluids in real time. Explore rheology with temperature effects.
Vortex Formation Simulator — Interactive Fluid Vortex Visualization
Aerodynamics
Explore vortex dynamics with an interactive fluid simulator. Visualize Rankine and Karman vortex structures using particle tracers. Click and drag to create.
Wake of Bluff Bodies Simulator — C_D and Strouhal Number
Aerodynamics
Compare the wakes behind circular, square and teardrop cross sections. Compute the subcritical drag coefficient C_D, vortex shedding frequency f and wake width in real t…
Water Hammer Calculator — Joukowsky Surge Pressure in Pipelines
Pipe Flow & Pumps
Calculate surge pressure & wave speed for water hammer analysis. Use the Joukowsky equation, detect valve closure type, and view pressure charts.
Tank Draining Simulator — Torricelli's Law
Pipe Flow & Pumps
Visualizes the falling water level of a tank draining through a bottom orifice using Torricelli's law. Vary the cross-section, orifice area, and discharge coefficient to…
Wave Diffraction in Harbors (Sommerfeld Theory)
Visualize harbor wave heights and energy distribution using Sommerfeld theory for breakwater gaps and semi-infinite barriers. Real-time K_D calculations.
Wave Tank Simulator — 2D Wave Equation, Interference & Diffraction
Simulate 2D wave physics in real time. Click to add sources and observe interference, diffraction, and reflection with this interactive finite difference solver.
Weber Number Simulator — Droplet Inertia vs Surface Tension
Compute the Weber number We = rho V^2 L / gamma in real time from density rho, velocity V, characteristic length L and surface tension gamma.
Weir Flow Simulator — Rectangular and V-Notch
Pipe Flow & Pumps
Visualize the discharge over the two classic open-channel flow gauges: the rectangular weir (Rehbock) and the V-notch weir (Thomson). Change the head, crest width, weir …
Wind Shear Profile IEC 61400 Simulator
Aerodynamics
Combine atmospheric boundary-layer wind profiles (power law and log law) with IEC 61400 turbine classes to evaluate hub-height wind speed, vertical rotor shear, rotor-eq…
Wind Tunnel Blockage Correction Simulator
Aerodynamics
Compute wall-interference (blockage) corrections for a model inside a wind tunnel using Maskell and Mercker formulas.
Wing Lift & Drag Calculator — NACA Airfoil Aerodynamics
Aerodynamics
Calculate lift and drag for NACA airfoils. Adjust angle of attack and aspect ratio to visualize performance with our aerodynamic coefficient calculator.
Dimensionless Wall Distance y+ Simulator — CFD Boundary Layer Resolution
Aerodynamics
Real-time computation of the dimensionless wall distance $y^+ = y\\,u_\\tau/\\nu$.
Young-Laplace Simulator — Surface Tension and Capillary Action
Compute the Laplace pressure dP = 2 gamma / R for a spherical droplet, dP = gamma / R for a cylindrical column, dP = 4 gamma / R for a soap bubble, the Jurin capillary r…
CFD Near-Wall y⁺ Calculator
Calculate first-cell wall distance Δy and y⁺ for CFD near-wall mesh resolution from Reynolds number, fluid properties, and length scale. Compare wall-function and low-Re…
How to Use
- Select fluid type (water, air, oil) and set kinematic viscosity from the material database or input custom values in m²/s
- Define pipe geometry: diameter (mm), length (m), roughness (mm), and flow rate (L/min or m³/s)
- Choose calculation mode—Darcy-Weisbach friction factor, Reynolds number classification, or pump head requirements—then execute simulation to generate pressure drop and velocity profiles
Worked Example
Carbon steel pipe carrying water at 15°C: ID=50mm, length=25m, flow rate=12 L/min, absolute roughness=0.045mm. Reynolds number calculates to 5,800 (turbulent). Friction factor f=0.032 via Colebrook equation. Pressure drop = f(L/D)(ρv²/2) = 0.032(25/0.05)(1000×0.102²/2) = 8.2 kPa. Pump must deliver minimum 80 kPa to overcome system resistance.
Practical Notes
- For laminar flow (Re<2300), use f=64/Re; transition occurs between Re=2300–4000 where friction factor becomes unstable—avoid this zone in design
- Corroded pipes increase roughness dramatically; a 20-year-old steel line may have effective roughness of 0.5mm instead of 0.045mm, raising friction loss by 40%
- Centrifugal pump selection requires matching shutoff head to worst-case system curve; underestimating friction losses causes inadequate flow delivery