Formula Home Heat Transfer Overview Conduction Convection Forced Convection Free Convection Radiation Glossary Applications Lam. Flow Over Plate Two Body Radiation Resources Bibliography

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more free publications       Forced Laminar Flow Over an Isothermal Plate Air (or any other fluid) forced over a hot plate will remove heat from the plate according to the rules of forced convection. If the air's velocity is slow enough and the plate length short enough, we can expect the flow in the boundary layer near the plate to be laminar. Use this calculator to calculate the heat rate removed from the plate under such a laminar flow assumption. We also assume that the plate is maintained at a constant temperature (i.e. isothermal). (The default calculation is for a relatively hot, small rectangular plate immersed in a medium velocity air stream at room temperature, with answers rounded to 3 significant figures.)
Inputs  Length of plate, L: m in ft cm mm Area of plate, A: cm^2 m^2 in^2 ft^2 Temperature (constant) of plate, Tw: K C F R Fluid free-stream velocity, uinf: cm/s in/s ft/s m/s mph Fluid free-stream temperature, Tinf: K C F R Fluid viscosity, m: cP Pa-s kg/m-s slug/ft-s Fluid density, r: kg/m^3 lb/in^3 kg/l g/cm^3 Fluid specific heat, cp: J/kg-K kJ/kg-K Btu/lbm-F cal/lbm-F Fluid conductivity, k: W/m-K Btu/hr-ft-F    Reynolds Number, Re: 3.04 × 104 Prandtl Number, Pr: 0.683 Nusselt Number, Nu: 102 Heat Transfer Coefficient, h: 12.7  W/m^2-K W/m^2-K Btu/hr-ft^2-F Heat Transfer Rate to Air, Q: 22.9  W W kW Btu/hr Film Temperature, Tf: 47.5  C K C F R  Equations Behind the Calculator The heat tranferred from a hot isothermal plate to a forced laminar air stream is given by Newton's Law, where Tw and are the wall and fluid free-stream temperatures, respectively. The convection heat transfer coefficient for the plate hplate is related to the plate Nusselt Number NuL by, In this equation, k is the fluid's thermal conductivity, and L is the length of the plate. The Nussult Number for this problem is given by, where Pr is the fluid Prandtl Number, and ReL is the fluid/plate Reynolds Number. See the theory page for more information on this problem's development.
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