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Vijñāna Parishad of India

Jñānābha‎, Vol. 51 (2) (2021), (28-39)

SLIP AND THERMAL RADIATION EFFECTS ON MHD CASSON FLUID FLOW OVER AN INCLINED PERMEABLE MELTING STRETCHING SURFACE IN THE PRESENCE OF NON-UNIFORM HEAT SOURCE/SINK


By

Amala Olkha and Amit Dadheech

Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India

Email:mailto:amitmyfr@gmail.com

(Received : September 30, 2020; In format : June 27, 2021; Revised in final form : September 14, 2021)


DOI: https://doi.org/10.58250/Jnanabha.2021.51204

Abstract

This paper deals with the study of MHD boundary layer flow of Casson fluid over an inclined permeable and melting stretching surface in the presence of radiation and non-uniform heat source. The velocity, temperature and concentration slip conditions are assumed at the surface. Exercising the R-K 4th order with shooting method in MATLAB syntax the arithmetic simulation for the thermotic equation, mass concentration and momentum equations are executed. Effects of various pertinent parameters are investigated on flow, heat and mass transfer and discussed graphically. The present investigation discovered that the accelerated silhouette cuts down the expansion of Casson fluid parameter, magnetic domain parameter and the permeable parameter including suction and melting influences although the contradictory performances are observed over the outline of temperature and concentration conspicuity. The results obtained confirm that there is an excellent agreement in open literature with those available.


2020 Mathematical Sciences Classification: 76D05,76D10,76W05

Keywords and Phrases: Non-linear radiation; non-linear heat source; melting surface; Casson fluid.



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