### Steady State Conduction Multilayer Cylinder Calculator and Formulas

**Heat Transfer Engineering
Thermodynamics**

**Steady State Conduction Multilayer Cylinder Calculator and Formulas **

The following equation will calculate the temperature on one
side of an isothermal constant temperature multilayer cylinder. The heat load
(q) conducted from the interior to the exterior layers as well as
the temperature of the interior wall (T_{0 }or T_{n}) are
required as well. For each layer you must define the layer
thickness (t_{i}) as well as the layer conductivity k_{i}.

Preview: Steady State Conduction Multilayer Cylinder Calculator

or

Where:

*T _{n}* = Outer surface temperature

^{o}C

*= Inner surface temperature*

T

T

_{0}^{o}C

*q = Heat flow (positive heat flow is from T*

_{0}to T

_{n})

*= Outer radius of the layer*

r

r

_{i}*i ,*(Meters)

*= Inner radius of the layer*

r

r

_{i-1}*i,*(Meters)

*= Thermal conductivity of layer*

k

k

_{i}*i,*(W/m-

^{o}C)

*L = Length of the cylinder (Meters)*

The end walls of the cylinder are assumed adiabatic. That is, only radial heat flow is accounted for.

Positive values of heat (q) result in T_{0} being
hotter than T_{n}. Negative values of heat (q) result in T_{0}
being cooler than T_{n}.

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