American Journal of Applied Mathematics 2022; 10(2): 29-42 http://www.sciencepublishinggroup.com/j/ajam doi: 10.11648/j.ajam.20221002.12 ISSN: 2330-0043 (Print); ISSN: 2330-006X (Online) On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface Golbert Aloliga 1, * , Ibrahim Yakubu Seini 2 , Rabiu Musah 2 1 Department of Mathematics, C. K. Tedam University of Technology and Applied Sciences, Navrongo, Ghana 2 Department of Engineering, University for Development Studies, Tamale, Ghana Email address: * Corresponding author To cite this article: Golbert Aloliga, Ibrahim Yakubu Seini, Rabiu Musah. On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface. American Journal of Applied Mathematics. Vol. 10, No. 2, 2022, pp. 29-42. doi: 10.11648/j.ajam.20221002.12 Received: March 14, 2022; Accepted: April 1, 2022; Published: April 9, 2022 Abstract: The purpose of this research is to investigate heat and mass transport in a magnetohydrodynamic (MHD) flow of a non-Newtonian viscoelastic fluid on a stretched magnetized surface. The investigations involve modelling the governing partial differential equations with respect to the Cartesian coordinate system. The models are then transformed into a set of coupled ordinary differential equations. Numerical and graphical solutions were obtained using similarity analysis. The effect of the magnetized sheet on the flow behavior; local skin friction, Nusselt, and Sherwood numbers, are presented in tables. It was observed that an enhanced thickening of the thermal boundary layer was due to the induced magnetization of the sheet. This leads to a significant decline in the heat transfer rate. Certain significant discoveries reported in this research discloses that the effect of viscous dissipation and the non-uniform heat transmission have momentous impact in controlling the rate of heat transfer in the boundary layer region. Again, from the outcome of the analysis it is seen that, the effect of appreciating the Soret number or lessening the Dufour number tends to decrease the velocity and temperature profiles while enhancing the concentration dissemination. Magnetizing the surface shows similar effects on the local skin friction, Nusselt number, and Sherwood number. It is concluded that magnetized surfaces significantly influence the rate of cooling and hence the quality of the penultimate product. Keywords: Non-newtonian, Viscoelastic Fluid, Magnetized Plate, Convective Boundary Condition, Internal Heat Generation 1. Introduction Non-Newtonian viscoelastic fluid is a fluid characterized with both viscous and elastic behaviour when distorted making the constitutive relations for viscosity more complex. This type of fluid is useful in manufacturing industries as a result of its distinctive viscous and elastic nature. The increasing demand for plastics, rubber, paint, polyurethanes, and many more, the study of viscoelastic materials has become eminent. Generally speaking, magnetohydrodynamic (MHD) flow is the integration of magnetic fields to flow fields aimed at altering the flow conditions. The study of electrically conducting fluids of viscoelastic in nature flowing on a porous stretching surface and noted the influence of viscoelasticity of the fluid on the flow velocity was pioneered by Anderson [1]. Later Abel, et al. [2] examined the effects of ohmic dispersion and viscous of viscoelastic fluid past elastic surfaces. The heat generation and absorption of viscoelastic fluid over a stretched surface was addressed by Hsiao [3]. Then Makukula et al. [4] attained a predictable solution using the linearized method on the viscoelastic fluid in a parallel sheet. The combined effect of convection and radiation on the flow of viscoelastic fluids on a sheet in the presence of a magnetic field was examined by Ghosh and Shit [5]. Other related studies are given in references [6-12]. The effects of entropy generation on viscoelastic fluid [13] and third- grade fluid [14] have been examined. Years later, Han et al. [15] examined the coupled heat and mass movement in a viscoelastic fluid using the Cattaneo-Christov heat flux model. But Rostami et al. [16] used numerical techniques