Transient heat conduction in hollow spheres with a moving inner boundary
The finite integral transform method is used to obtain the solution of unsteady heat conduction problems for a hollow sphere with a moving internal boundary and various boundary conditions at the outer surface. For the solution of the problems of interest integral transform formulas are presented with kernels (16), (20), and (24) and the corresponding inversion formulas (18), (22), (26), (29) and characteristic equations (17), (21), (25), (28), (31), (33).
KeywordsBoundary Condition Statistical Physic Heat Conduction Outer Surface Characteristic Equation
thermal diffusivity and conductivity
temperature of phase transformation
heat transfer coefficient
total quantity of heat passing through inner boundary
latent heat of phase transformation
- Fo(1,τ)=aτ/R12, Fo(i,τ)=ατ/ri2, Fo(i,τi)=ατai/ri2
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