Time Fractional Heat Conduction Problem in a Thin Hollow Circular Disk and It’s Thermal Deflection

EasyChair Preprint no. 1672

Abstract

In this paper, we analysed 2D problem of thermoelasticity with the fractional order derivative of order 0 <  ≤ 2 and determine temperature and thermal deflection of a circular disk. The zero initial condition are assumed. The inner and outer circular edges are kept at temperatures f1(z, t) and f2(z, t). The lower and upper surfaces are kept at temperatures f3(r, t) and f4(r, t). The solution is obtained applying Laplace, finite Fourier and Hankel transforms. Numerical results are illustrated graphically with the help of PTC Mathcad software.

Keyphrases: Capito Fractional Derivative, heat conduction, Thermal deflection

@Booklet{EasyChair:1672,
  author = {Kishor Gaikwad and Satish Khavale},
  title = {Time Fractional Heat Conduction Problem in a Thin Hollow Circular Disk and It’s Thermal Deflection},
  howpublished = {EasyChair Preprint no. 1672},

  year = {EasyChair, 2019}}