A novel method for analytical solution of transient heat conduction and Stefan problem in cylindrical coordinate

摘要

It has been found numerical methods are very tiring and time consuming and so much dependent upon computational calculations, so in order to reduce the computational time a new eigenfunction expansion method is presented for a two dimensional case with heat generation source. This method is applicable to any combination of inhomogeneous first and second kind boundary conditions in the angular and axial direction of cylinder and can be very useful for latent heat energy based storage systems analytical analysis. Analytical problem of one phase melting/solidification of Phase Change Material was also studied with the use of dimensionless parameters using the eigenfunction expansion method. Effect of Dimensionless parameter Stefan number on the melting/solidification of PCM was studied. Results showed increase in the transition time at low Stefan value.