The tool FT-06 computes the rate of heat transfer and temperature distribution in multilayered composites. It also gives the thermal resistance of each layer and the effective thermal resistance of composites.
In addition, a tutorial on how to use the toolbox in computation is provided and a subject review on fundamental theories and useful formulas is presented.
Example: A hollow sphere with three layers
The input in the toolbox is
After clicking "Run", the results will be shown as follows in another page.
Rate of Heat Transfer: 79558.12568263
Effective Thermal Resistance Reff = 0.00188541
Resistance R1 = 0.00132629
Resistance R2 = 0.00020805
Resistance R3 = 0.00035108
Temperature Ti = 200
Temperature T1 - 2 = 94.48275862
Temperature T2 - 3 = 77.93103448
Temperature To = 50
Heat Conduction in Multilayered Composites (Lumped Parameter Model)
The heat conduction in multilayerd composites using lumped parameter model is sloved by adopting the concept thermal resistance, which is similar to the electrical resistance in electrical systems. The rate of heat transfer through multilayered composites is given by
Ti and To: Boundary temperature
Rtotal: Total thermal resistance
The relationship between heat flux and heat transfer rate is
where A is the area
The total thermal resistance is the summation of the thermal resistance of each layer, which is
Table 1 lists the formula to determine thermal resistance for different type of multilayered composites.
Table 1 Thermal resistance for different type of multilayered composites
1. Y. A. Cengel, Heat Transfer: A Practical Approach, 2002, McGraw-Hill.