A new model of fractional Casson fluid based on generalized Fick’s and Fourier’s laws together with heat and mass transfer
| Autor: | Ilyas Khan, Devendra Kumar, Nadeem Ahmad Sheikh, Kottakkaran Sooppy Nisar, Dennis Ling Chuan Ching |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
020209 energy
Generalized Fick’s and Fourier’s laws 02 engineering and technology 01 natural sciences 010305 fluids & plasmas symbols.namesake New model of fractional derivative Mass transfer 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Sine Magnetite Casson fluid Mathematics Mittag-Leffler function Laplace transform General Engineering Function (mathematics) Engineering (General). Civil engineering (General) Transformation (function) Fourier transform Law symbols Magnetohydrodynamics Heat mass transfer TA1-2040 Energy (signal processing) |
| Zdroj: | Alexandria Engineering Journal, Vol 59, Iss 5, Pp 2865-2876 (2020) |
| ISSN: | 1110-0168 |
| Popis: | A new technique for modelling the fractional model of Casson fluid is used. More exactly, the Caputo fractional model has been developed using the generalized Fick’s and Fourier’s laws. The magnetohydrodynamics free convection flow of Casson fluid in a channel has been considered. A new transformation is applied to the energy and mass equations and then solved by using the Laplace and Fourier sine transformations jointly. The final solutions are presented in terms of special function, namely, the Mittag-Leffler function. The effects of various physical parameters have been portrayed in graphs and tables and discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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