ENGINEERING PHYSICS AND MATHEMATICS
The influence of thermophoretic particle deposition on fully developed MHD mixed convective flow in a vertical channel with thermal-diffusion and diffusion-thermo effects

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Abstract

The present paper deals with the influence of thermophoretic particle deposition on the MHD mixed convective heat and mass transfer flow in a vertical channel in the presence of radiative heat flux with thermal-diffusion and diffusion-thermo effects. The resulting nonlinear coupled equations are solved under appropriate boundary conditions using the homotopy analysis method. The influence of involved parameters on heat and mass transfer characteristics of the fluid flow is presented graphically. It is noted that fluid velocity is an increasing function of radiation parameter, Dufour number, Buoyancy ratio parameter and mixed convection parameter whereas the magnetic parameter, thermophoresis constant, Soret number and Schimidt number lead to suppress the velocity. The fluid temperature increases with increasing radiation parameter and Dufour number. The convergence of homotopy analysis method (HAM) solutions is discussed and a good agreement is found between the analytical and the numerical solution.

Keywords

MHD
Homotopy analysis method
Thermophoretic deposition
Soret number
Dufour number

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D. Lourdu Immaculate is an Assistant Professor in the Department of Mathematics, The American College, Madurai. She obtained her M.Phil in School of Mathematics, Madurai Kamaraj University, Madurai. She pursuing her PhD at Bharathiyar University, Coimbatore.

Dr. R. Muthuraj obtained his PhD from the VIT University, Vellore. He has research interest in Newtonian/non-Newtonian flows in channels with heat and mass transfer effects. He has published 19 research papers in refereed journal. Presently, he is a Professor of Mathematics in PSNA college of engineering and Technology, Dindigul-624622, Tamil nadu, India.

Mrs. R.K. Selvi obtained her M.Phil from the School of Mathematics, Madurai Kamaraj University, Madurai. Presently, she is working as an Assistant Professor in PSNA college of Engineering and Technology, Dindigul. She pursuing her PhD at Bharathiyar University, Coimbatore.

S. Srinivas obtained his Doctoral Degree from NIT(formerly REC), Warangal, India. He has about 25 years of teaching and research experience. He has research interest in MHD flows, Heat and Mass Transfer, Boundary layer flows, Non-Newtonian flows, Nanofluids He has published 80 research papers in various journals and conference proceedings. The total citations of his papers, as per Google Scholar, exceeds 1100. He is a reviewer for several international journals. Presently he is a Senior Professor in the Fluid Dynamics Division of School of Advanced Sciences at VIT University, Vellore, India.

Anant Kant Shukla is an Assistant Professor at Department of Mathematics, Amrita Vishwa Vidyapeetham, Amrita School of Engineering, Coimbatore, India. He has submitted his PhD thesis at VIT University, Vellore, India. He was Research Scholar at CSIR Fourth Paradigm Institute (Formerly, CSIR-CMMACS), Bangalore during his PhD tenure. His current research interests are nonlinear dynamics and fluid dynamics. He has published 8 research papers in refereed journals.

Peer review under responsibility of Ain Shams University.

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