A mathematical study of magnetohydrodynamic Casson fluid via special functions with heat and mass transfer embedded in porous plate

Authors

  • Kashif Ali Abro Department of Basic Science and Related Studies, Mehran University of Engineering Technology, Jamshoro, Pakistan
  • Hina Saeed Shaikh Federal Government College, Karachi
  • Norzieha Mustapha Universiti Teknologi MARA
  • Ilyas Khan Majmaah University
  • Asifa Tassaddiq Majmaah University

DOI:

https://doi.org/10.11113/mjfas.v14n1.731

Keywords:

Special functions, Caputo Fractional differentiation, Rheological Impacts and Graphical illustrations.

Abstract

This article is proposed to investigate the impacts of heat and mass transfer in magnetohydrodynamic casson fluid embedded in porous medium. The generalized solutions have been traced out for the temperature distribution, mass concentration and velocity profiles under the existence and non-existence of transverse magnetic field, permeability and porosity. The corresponding solutions of temperature distribution and mass concentration, velocity profiles are expressed in terms of newly defined generalized Robotnov-Hartley function, wright function and Mittage-Leffler function respectively. All the corresponding solutions fulfill necessary conditions (initial, natural and boundary conditions) as well. Caputo Fractionalized solutions have been converted for ordinary solutions by substituting . Some similar solutions for the temperature distribution, mass concentration and velocity profiles have been particularized form generalized solutions. Owing to the rheology of problem, graphical illustrations of distinct parameters are discussed in detail by depicting figures using Mathcad software (15).

Author Biographies

Kashif Ali Abro, Department of Basic Science and Related Studies, Mehran University of Engineering Technology, Jamshoro, Pakistan

Lecturer at Department of Basic Science and Related Studies,

Norzieha Mustapha, Universiti Teknologi MARA

Fakulti Sains Komputer dan Matematik

Ilyas Khan, Majmaah University

Basic Engineering Sciences Department

Asifa Tassaddiq, Majmaah University

College of Computer and Information Sciences

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Published

08-03-2018