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

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.

Author Biographies

Nadeem Ahmad Sheikh, Fundamental and Applied Science Department, Universiti Teknologi Petronas, Perak 32610, Malaysia

nadeem_18000052@utp.edu.my

Dennis Ling Chuan Ching, Fundamental and Applied Science Department, Universiti Teknologi Petronas, Perak 32610, Malaysia

dennis.ling@utp.edu.my

Hamzah Sakidin, Fundamental and Applied Science Department, Universiti Teknologi Petronas, Perak 32610, Malaysia

hamzah.sakidin@utp.edu.my

Ilyas Khan, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, Vietnam

i.said@mu.edu.sa

Downloads

Published

2022-03-21

How to Cite

Nadeem Ahmad Sheikh, Dennis Ling Chuan Ching, Hamzah Sakidin, & Ilyas Khan. (2022). Fractional Model for the Flow of Brinkman-Type Fluid with Mass Transfer. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 93(2), 76–85. https://doi.org/10.37934/arfmts.93.2.7685

Issue

Section

Articles