Steady State Conduction Multilayer Isothermal Walls Formulas and Calculator

Heat Transfer Engineering | Thermodynamics

Steady State Conduction Multilayer Isothermal Walls Formulas and Calculator

The following equation will calculate the temperature on one side of an isothermal constant temperature multilayered plate or wall. The heat load (q) conducted through the layers as well as the temperature on one side of the plate (T₁) are required as well. For each layer  the layer thickness (t_i) as well as the layer conductivity k_i must be defined. 

Preview: Steady State Conduction Multilayer Isothermal Walls Calculator

The temperature T_n is calculated as:

 

or

Where:

T_n   = Temperature ^oC
T₁  = Known surface temperature ^oC
q   = Heat flow (positive heat flow is from T₁ to T_n) 
t_i    = Thickness of each layer i (M)

k_i    = Thermal conductivity of layer i (W/m-^oC) 
HD = Surface area (H x D) the plate being considered M²

End surfaces of the plate are assumed adiabatic.

Positive values of heat (q) result in T_n being hotter than T₁. Negative values of heat (q) result in T_n being cooler than T₁.

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