Creator:

Warbhe, Shrikant ; Gujarkar, Vishakha

Contributor:

Jurczak, Paweł - red.

Title:

Thermoelastic Behavior of a Hollow Cylinder Using Space-time Fractional Heat Conduction: A Quasi-static Approach

Group publication title:

IJAME, volume 30 (2025)

Subject and Keywords:

integral transform ; Mittag-Leffler function ; quasi-static ; fractional derivatives and integrals ; thermal stresses

Abstract:

The present study examines thermoelastic behaviour of a hollow cylinder governed by the space-time fractional heat conduction equation, employing a quasi-static approach. The analysis utilizes the Caputo time fractional derivative and finite Riesz space fractional derivative. An arbitrary temperature is applied to the upper surface of the cylinder while, the other boundaries are maintained at zero temperature. The heat conduction equation is solved using the integral transform technique. A mathematical model is developed specifically for pure copper material. The effects of varying the fractional orders of space and time on thermoelasticity, influenced by changes in thermal conductivity, are investigated and the results are depicted graphically.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2025

Resource Type:

artykuł

Format:

application/pdf

DOI:

click here to follow the link

Pages:

153-164

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego