Mathematical modeling of a thin circular plate has been made by considering a nonlocal Caputo type time fractional heat conduction equation of order 0 < ? ? 2, by the action of a moving heat source. Physically convective heat exchange boundary conditions are applied at lower, upper and outer curved surface of the plate. ; Temperature distribution and thermal deflection has been investigated by a quasi-static approach in the context of fractional order heat conduction. The integral transformation technique is used to analyze the analytical solution to the problem. Numerical computation including the effect of the fractional order parameter has been done for temperature and deflection and illustrated graphically for an aluminum material.
Zielona Góra: Uniwersytet Zielonogórski
IJAME, volume 25, number 3 (2020)
Biblioteka Uniwersytetu Zielonogórskiego
Jul 6, 2023
Feb 24, 2023
77
https://zbc.uz.zgora.pl/publication/78138
Edition name | Date |
---|---|
Analysis of time-fractional heat transfer and its thermal deflection in a circular plate by a moving heat source | Jul 6, 2023 |
Thakare, Shivcharan Panke, Y. Hadke, K. Jurczak, Paweł - red.
Balachandran, Krishnan Kokila, Jayakumar Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Kumar, Devendra Choudhary, Anupama Singh, Jagdev Jurczak, Paweł - red.
N`Doye, Ibrahima Darouach, Mohamed Voos, Holger Zasadzinski, Michel Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Sierociuk, Dominik Dzieliński, Andrzej Korbicz, Józef (1951- ) - red.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Srivathsa, Boddapati Das, D.K. Jurczak, Paweł - red.
Chaudhari, Kamini K. Sutar, Chandrashekhar S. Jurczak, Paweł - red.