The fluid is fixed to air (ρ=1.2 kg/m³, ν=1.5×10⁻⁵ m²/s, k=0.026 W/(m·K), Pr=0.71).
Top: nozzle / Blue arrow: jet / Bottom: plate (red = hot, blue = cool) / Yellow dot: stagnation point
Horizontal axis: dimensionless radius r/D / Vertical: local heat transfer coefficient h (yellow dot: stagnation r/D=0)
When a round air jet impinges perpendicularly on a flat plate, the thermal boundary layer is crushed very thin near the stagnation point and the heat transfer is strongly enhanced. This tool uses a simplified Martin-type correlation that is widely cited in heat transfer textbooks.
Reynolds number at the nozzle exit. U is the exit velocity, D the nozzle diameter, ν the kinematic viscosity:
$$Re = \frac{U\,D}{\nu}$$Representative Nusselt number. Pr is the Prandtl number, H/D is the standoff ratio:
$$Nu = Re^{0.5}\,Pr^{0.42}\,(H/D)^{-0.1}$$Heat transfer coefficient h and heat flux q. k is the air thermal conductivity, T_w−T_∞ is the wall-to-fluid temperature difference:
$$h = \frac{Nu\,k}{D},\qquad q = h\,(T_w - T_\infty)$$h is maximum at the stagnation point and decays with increasing r/D (approximated here by an exponential decay).