Fractional Model for the Flow of Brinkman-Type Fluid with Mass Transfer

Nadeem Ahmad Sheikh; Dennis Ling Chuan Ching; Hamzah Sakidin; Ilyas Khan

doi:10.37934/arfmts.93.2.7685

Authors

Nadeem Ahmad Sheikh Fundamental and Applied Science Department, Universiti Teknologi Petronas, Perak 32610, Malaysia
Dennis Ling Chuan Ching Fundamental and Applied Science Department, Universiti Teknologi Petronas, Perak 32610, Malaysia
Hamzah Sakidin Fundamental and Applied Science Department, Universiti Teknologi Petronas, Perak 32610, Malaysia
Ilyas Khan Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam

DOI:

https://doi.org/10.37934/arfmts.93.2.7685

Keywords:

Fractional derivative, magnetite Brinkman-type fluid, generalized Fick’s law, mass transfer

Abstract

The flow of fluid with mas transfer is an important phenomenon in the industries and nature. A new scheme for formulating the Caputo time fractional model for the flow of Brinkman-type fluid between the plates was introduced using the generalized Fick’s law. Within a channel, the free convection flow of the electrically conducted Brinkman-type fluid was considered. The governing equations were solved by the techniques of Fourier sine and the Laplace transform. In terms of the special function, namely, the Mittag-Leffler function, final solutions were obtained. To explain the conceptual arguments of the embedded parameters, separate plots are represented in figures. It is worth noting that for increasing the values of the Brinkman-type fluid parameter, the velocity profile decreases.