This page calculates the average heat transfer coefficient and heat convected from an isothermal (constant temperature) heated horizontal flat plate's lower surface at a specified temperature in a natural convection environment.

Define the plate size, surface temperature, ambient air fluid temperature. You also need to define the fluid properties. This page will calculate a heat transfer coefficient based on the flow conditions as well as the heat transfer by convection from the isothermal plate.

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Plate and Flow Conditions

Fluid Properties at Film Temperature, Except for Density. (Defaults are for Air at 20C)

Description Symbol Value Units
Film Temperature = (Tp+Ta)/2 Tf   oC
Specific Heat Cp J/kg-oC
Coefficient of Thermal Expansion B 1/K
Thermal Conductivity k W/m-oC
Dynamic Viscosity µ kg/m-s
Density at reference temperature of 20 C rhoref kg/m3
Density calculated at film temperature Tf rho kg/m3
Emissivity e None

Plate Dimensions

Description Symbol Value Units
Plate Width (across flow) W Meters
Plate Length (along flow) L Meters
Plate Temperature Tp oC
Ambient Temperature Ta oC

Results for Plate

Description Symbol Value Units
Prandtl Number = v/a Pr   None
Grashof Number = g*cte*(Tp-Ta)*((W*L)/(2W+2L))3/v2 Gr   None
Rayleigh Number = Gr*Pr Ra   None
Nusselt Number = 0.27(Gr*Pr)0.25 Nu   None
Average Heat Transfer Coefficient = Nu*k/((W*L)/(2W+2L)) h   W/m2-C
Convective Heat Transfer = h*W*L*(Tp-Ta) qconv   W
Radiative Heat Transfer = Sigma*W*L*e*(Tp4-Ta4) qrad   W
Total Heat Transfer = qconv + qrad qtot   W

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