Abstract: This study examines the impact of an induced magnetic field on the behaviour of an unsteady viscous Casson magneto hydrodynamic (MHD) fluid flow over a stretching sheet. The Casson fluid flow is influenced by a uniform external magnetic field that is applied perpendicular to the stretching sheet. The problem under investigation is fully defined in terms of certain parameters that characterize the system, namely the Casson parameter
, the unsteadiness parameter 
, the Reynolds number 
, the magnetic Reynolds number 
, and the Prandtl number 
. To simplify the analysis, the governing partial differential equations are transformed into a system of ordinary differential equations using appropriate similarity transformations. The resulting equations are then solved numerically using the collocation method implemented through the MATLAB function bvp4c. This study aims to investigate the effects of the characterizing parameters on the skin friction in the system, Nusselt number, steadiness parameter and free surface temperature are analysed and discussed in detail. Fluid velocity initially decreases with increasing unsteadiness parameter and temperature decreases significantly due to unsteadiness. Increasing the Casson parameter suppresses the velocity field but enhances the temperature. The results show that an increase in magnetic parameter, the velocity boundary layer thickness decreases. The presence of transverse magnetic field sets in the Lorentz force which disturbs the Casson fluid flow hence inducing the retarding on the velocity field. These results indicate the potential technological uses of stretchable materials in liquid-based systems, specifically in applications like paint spray for motor vehicles. Several of our computational findings align with existing data in the literature, although discrepancies arise due to the influence of the induced magnetic field.
Keywords: Boundary Layer Theory; Casson Fluid Model; Viscous Casson Fluid, Magneto-hydrodynamics (MHD); Mathematical Modelling; Similarity Transformation; Stretching Sheet.
Title: Magnetic Induction Effects on Unsteady Viscous Casson Fluid Flow over a Stretching Sheet
Author: Christine Muthui, Charles Muli, Mark Kimathi
International Journal of Interdisciplinary Research and Innovations
ISSN 2348-1218 (print), ISSN 2348-1226 (online)
Vol. 12, Issue 2, April 2024 - June 2024
Page No: 55-66
Research Publish Journals
Website: www.researchpublish.com
Published Date: 26-June-2024
