A NUMERICAL STUDY ON HEAT TRANSFER FOR MHD FLOW OF RADIATIVE CASSON NANOFLUID OVER A POROUS STRETCHING SHEET

Authors

  • Shiva Rao Dibrugarh University
  • Paramananda Deka Department of Mathematics, Dibrugarh University, Dibrugarh, India

DOI:

https://doi.org/10.52292/j.laar.2023.950

Keywords:

Non-Newtonian, Casson nanofluid, Porous stretching sheet, Viscous dissipation, Chemical radiate, Steady flow, Thermal radiation, MHD flow

Abstract

The current study deals with the heat transfer of the steady two-dimensional MHD Casson nanofluid flow over a non-linearly stretched porous sheet associated with viscous dissipation, chemical radiate parameters and thermal radiation. Using the appropriate similarity transformation, the non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations which are further numerically solved using a MATLAB built-in solver bvp4c (Boundary value problem of fourth-order). The comparison reveals an excellent agreement which proves the validation of the numerical approach. The effect of various MHD parameters on the velocity, temperature and nanoparticle concentration are discussed graphically whereas its impact on heat and mass transfer rate are shown in tabular form as Nusselt number and Sherwood number respectively. Enhancement in temperature profile is observed as a result of the increased value of the radiation parameter and Brownian motion parameter. In this study, both Newtonian and non-Newtonian cases are studied separately for each parameter. Moreover, this study demonstrates, when a porous sheet is stretched non-linearly under chemical and thermal radiation, the Casson nanofluid controls the temperature and nanoparticle concentration better than the Newtonian nanofluid.

Author Biography

Paramananda Deka, Department of Mathematics, Dibrugarh University, Dibrugarh, India

Dr. Paramananda Deka

Designation: Professor

Department of Mathematics, Dibrugarh University

Dibrugarh, 786004

Assam, India.

Email - pndeka@dibru.ac.in

Phone No. - 9854148361

Education:

  1. Bachelor’s Degree: 1984, Cotton College, Gauhati University, Guwahati, Assam.
  2. Master’s Degree: 1987, University of Delhi.
  3. Ph.D.: 1999, Centre of Plasma Physics, Gauhati University.

Professional Experiences:

  1. One year Mathematics teaching experience at H.S. and Undergraduate level at North Guwahati College. Guwahati.
  2. One year working experience as computer professional at NIC, Govt. Of India, Guwahati.
  3. Two years teaching experience at H.S. and Undergraduate level at Prgjyotish College, (1989-1991).Gauhati University, Guwahati.
  4. Teaching and research at Department of mathematics, Dibrugarh University since 1991.

Areas of Interest/ Specialization: 

                            Classical Mechanics

                            Fluid Dynamics

                            Magnetohydrodynamics

                            Plasma Dynamics

                            Computational Fluid Dynamics

                            Number theory

Administrative Assignments:

  1. Head of Department, 2005 Dec. to 2008 Dec.

Academic Assignment

  1. Chief Editor of Mathematical Forum, UGC care listed Journal. (Official Journal of Department of Mathematics, Dibrugarh University, Assam, India) Since 2015 till date.

Research Projects:One Major Research Project Completed.

Title of The projectAnalysis of Liquid Metal MHD Flow through a Duct in presence of Strong Transverse Magnetic Field.

Funding Agency: UGC

Duration: 08/04/2011 to 31/01/2014

Fund allocated:Rs.7, 47,067/-(Extended to 12.5 Lakhs approximately)

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Published

2023-02-08

Issue

Section

Heat and Mass Transfer