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Thermal Conductivity Solid Calculator and Equation

Heat Transfer Engineering
Thermodynamics

Effective Thermal Conductivity for a Solid with Spherical Inclusions Calculator and Equation.

Figure 1 Thermo Conductivity of Sphere

Figure 2 Medium 0 thermal conductivity

Preview Thermal Conductivity for a Solid with Spherical Inclusions Calculator

Eq. 1

T_r = T + [ 1 - ( ( K_eff - K_o) / ( K_eff + 2 K_o ) · ( ( R / r )³ ) ] A · R · cos(Θ)

Where:

T = Initial Temperature (K)
K_eff = Effective Thermal Conductivity (J/ft s K)
K_o = Thermal Conductivity of Solid (J/ft s K)
R = Effective Radius (ft)
r = Distance from Center (ft)
A = Temperature Gradient (K/ft)
Θ = Position of Substance from Center (rad)
T_r = Temperature at R (K)

Source:

Reference: Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 11, Page: 371.

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