Frontiers in Heat and Mass Transfer (FHMT), 16, 5 (2021) DOI: 10.5098/hmt.16.5 Global Digital Central ISSN: 2151-8629 ___________________________ *Corresponding Author Email: sridharwuriti@gmail.com 1 NUMERICAL APPROACH OF HEAT AND MASS TRANSFER OF MHD CASSON FLUID UNDER RADIATION OVER AN EXPONENTIALLY PERMEABLE STRETCHING SHEET WITH CHEMICAL REACTION AND HALL EFFECT G. R. Ganesh and W. Sridhar* Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur, A.P., 522502, India ABSTRACT In this paper, heat and mass transfer of MHD Casson fluid under radiation over an exponentially permeable stretching sheet with chemical reaction and Hall Effect investigated numerically. Suitable similarity transformations are used to convert the governing partial differential equations to nonlinear ordinary differential equations. Using a numerical technique named Keller box method the equations are then solved. Study of various effects such as chemical reaction, hall effect, suction /injection on magneto hydrodynamic Casson fluid along with radiation the heat source parameter, chemical reaction parameter, Schmidt number are tabulated for various parameters. Also local parameters are calculated and compared with previous literature the results are found to be in good agreement. The velocity, temperature, concentration visual representations are plotted for various parameters using matlab. Skin friction coefficient, Nusselt number and Sherwood number are calculated in both cases of Newtonian and non-Newtonian it is observed that the friction factor and the heat and mass transfer rates reduces for increase in magnetic parameter. Also for progressive values of radiation parameter, thermal grashof number, concentration grashof number and hall parameter, skin friction coefficient, heat and mass transfer rates increases where as they decreases for chemical reaction parameter, Schmidt number. Keywords: MHD, Casson fluid, Chemical reaction, radiation, Hall Effect. 1. INTRODUCTION Experience shows that due to several industrial applications of Non Newtonian fluids such as polymer industry and mining industry attracted many researchers to study about non Newtonian fluids. Also fluid flow over a stretching sheet is extensively used in manufacturing process because there is an association between stretching sheet and fluid that flows on it. Dutta et.al. (1985) analyzed fluid flow on a stretching sheet with uniform heat flux and observed that with increase in Prandtl number first wall temperature increases quickly and then decreases gradually. Masahide and Tadashi (1988) proved that with the non-Newtonian property of blood, flow speed decreases along the stenosis. James and Milivoje (1990a) provided theoretical and practical study of heat transfer effects in both the cases of Newtonian and Non Newtonian fluid. Lai (1990b) derived a closed form of solutions for a special case of Lewis number. Lin and Wu (1995) studied boundary layer flow in case of a vertical plate and the effects of buoyancy ratio and Lewis number on Heat and mass transfer are observed. Magyari and Keller (1999) observed that boundary layer thickness increases on enhancing the value of wall temperature distribution by fixing Prandtl number also by keeping wall temperature fixed and enhancing Prandtl number. Swathi Mukhopadhyay et al. (2005) observed that by expanding the length of the stretching sheet velocity of the fluid decreases by reducing thickness of the fluid. Later, Subhas et al. (2010) analyzed non Newtonian fluid flow through a porous medium along with the effect of suction concluded that wall temperature will be decreased with the effect of viscous dissipation. Vedavathi et.al (2015) used Runge-Kutta fourth order and concluded that suction effect maintains fixed growth of the thermal, concentration, hydrodynamic boundary layers. After that Vedavathi et.al (2017) concluded that on increasing radiation absorption parameter velocity profiles will be enhanced and increasing Prandtl number skin friction number decreases. Talla, Kumari and Sridhar (2018a) studied MHD Casson fluid flow over a exponentially stretching surface and observed that with increase in Casson parameter velocity reduces and concentration increases. Reddy and Krishna (2018b) observed that as the Soret number increases velocity boundary layer, thermal boundary layer, concentration boundary layer diminishes. Chandra Sekhar (2018c) observed that temperature increases with increase of chemical reaction parameter. Konda Reddy et al. (2018d) studied MHD mixed convection flow of a Casson Nano fluid over a nonlinear stretching sheet temperature, concentration enhanced and velocity diminished with increase in Casson parameter. Charan Kumar et al. (2018e) used RK- Fehlberg method to study the effects of joule heating and chemical reaction effects on fluid flow over a stretching sheet along with radiation and porous medium. Anki Reddy and Suneetha (2018f) concluded that temperature of the fluid and thermal relaxation time are oppositely related. Ghiasi and Saleh (2018g) witnessed that casson fluid along with suction effect reduces heat, mass transfer rates. Flilihi et al. (2019a) concluded that fluid temperature raises with increase in dissipation parameter. Dharmaiah et al. (2019b) used perturbation method and observed that chemical reaction parameter dominates the concentration profiles. Sampath and Pai (2019c) found that enhancing magnetic parameter skin friction decreases. Nagaraju et al.(2019d) used HAM technique and concluded that raise in magnetic parameter enhances velocity also energy dissipation step ups causing increase in temperature, later Huang pin et al.(2019e) used Keller box method and observed that suction increases the Nusselt number and Sherwood number. Blowing reduces them. Ganapathirao et al. (2019f) found that skin friction and coefficient of heat transfer raises with enhancing buoyancy parameter. Ibrahim et al. (2019g) observed that velocity increases with increasing buoyancy parameter. Raghunandana Sai and Ramana Murthy (2019h) studied the impact of various parameters on velocity and temperature profiles and observed that with increase in Prandtl number and time temperature increases. Ravi Kumar et al. (2019i) noticed that with Frontiers in Heat and Mass Transfer Available at www.ThermalFluidsCentral.org