Heat and Mass Transfer on MHD Blood Flow with Casson Fluid and Slip Effect Past a Porous Wounded Surface using Power Series Solution and Undetermined Coefficient Method on Perturbation Technique
Ekakitie Omamoke *
Department of Mathematics, Faculty of Science, Bayelsa Medical University, Yenagoa, Bayelsa State, Nigeria.
Isaac Funakpo
Department of Mathematics, Faculty of Science, Bayelsa Medical University, Yenagoa, Bayelsa State, Nigeria.
David Serian Ikeomoye
Department of Physics and Electronics, Faculty of Science, Bayelsa Medical University, Yenagoa, Bayelsa State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This study presents an analytical investigation of heat and mass transfer in magnetohydrodynamic (MHD) blood flow modelled as a Casson fluid past a porous wounded surface under slip, suction/injection and chemical reaction effects. The governing dimensional equations for momentum, energy and concentration transport were transformed into non-dimensional form using appropriate similarity variables and physical parameters. A perturbation procedure was applied to reduce the coupled system, and approximate analytical expressions for velocity, temperature and concentration distributions were derived using the method of undetermined coefficients and a power series solution. The effects of the magnetic field parameter, Casson fluid parameter, suction/injection, porosity, Prandtl number, Schmidt number, heat source parameter, chemical reaction rate, thermal Grashof number, solutal Grashof number and slip length were examined graphically and through transport quantities. The results indicate that the magnetic field parameter, Schmidt number, porosity, chemical reaction parameter, heat source parameter, Casson parameter and suction reduce the velocity profile, whereas the Prandtl number, thermal Grashof number, solutal Grashof number and slip length enhance it within the model assumptions. Temperature decreases with suction and Prandtl number and increases with the heat source parameter. Concentration decreases with suction, chemical reaction parameter and Schmidt number. Skin friction, Nusselt number and Sherwood number describe the sensitivity of momentum, heat and mass transport to the governing parameters. The study provides a theoretical framework for coupled MHD, thermal and concentration transport in Casson blood flow near a porous wounded surface without experimental validation.
Keywords: Magnetohydrodynamics, MHD blood flow, Casson fluid, porous wounded surface, slip condition, heat transfer, mass transfer, suction/injection, chemical reaction, perturbation technique, power series solution, biomedical transport modelling.