 Forced Laminar Flow Calculator Formula Home Heat Transfer Overview Conduction Convection Forced Convection Free Convection Radiation Glossary Applications Lam. Flow Over Plate Two Body Radiation Resources Bibliography  Login   Home Membership Magazines Forum Search Member Calculators  Materials  Design  Processes  Units  Formulas  Math 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
 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.
 Home  Membership  About Us  Privacy  Disclaimer  Contact  Advertise Copyright © 2020 eFunda, Inc.