A new model of fractional Casson fluid based on generalized Fick’s and Fourier’s laws together with heat and mass transfer

• Main Authors: Nadeem Ahmad Sheikh, Dennis Ling Chuan Ching, Ilyas Khan, Devendra Kumar, Kottakkaran Sooppy Nisar
• Format: Article
• Language: English
• Published: Elsevier 2020-10-01
• Series: Alexandria Engineering Journal
• Subjects: New model of fractional derivative; Mittag-Leffler function; Magnetite Casson fluid; Generalized Fick’s and Fourier’s laws; Heat mass transfer
• Online Access: http://www.sciencedirect.com/science/article/pii/S1110016819301644
• ISSN: 1110-0168

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.