Magnetohydrodynamic Jeffrey Nanofluid Flow Over a Vertical Sheet
Wekesa Waswa Simon *
Department of Mathematics and Actuarial Science, Kenyatta University, P.O. Box 43844-00100, Nairobi, Kenya.
Winifred Nduku Mutuku
Department of Mathematics and Actuarial Science, Kenyatta University, P.O. Box 43844-00100, Nairobi, Kenya.
*Author to whom correspondence should be addressed.
Abstract
Aim: This study focuses on the numerical analysis of Jeffrey nano-fluid bound with magnetic field in presence of convectively heated boundary.
Study Design: Abstract, introduction, Equations formulation, numerical analysis and conclusion
Place and Duration of Study: Department of Mathematics and Actuarial Science, Kenyatta University, between 2021-2022
Methodology: This paper discusses the imposed magnetic field on Jeffrey fluid suspended with nanometre-sized particles moving over a vertical sheet with a convectively heated boundary. The partial differential equations are formulated by considering assumptions and the boundary conditions to describe the continuity, momentum, energy and concentration of the fluid. The similarity transformation technique was applied to convert the partial differential equations into first-order linear differential equations which were simulated in Matlab by invoking the Adam’s-Moulton predictor-corrector scheme in ode113.
The graphs have been analysed with the effects of Deborah, Dufour-Lewis, Hartman, and Prandtl numbers respectively, solutal stratification, diffusion, thermophoresis, temperature Grashof, mass Grashof, relaxation-retardation parameters on the flow velocity, concentration, temperature, skin friction, heat and mass transfers looked into.
Results: While Deborah number increased velocity, it reduced concentration, skin friction and thermal boundary layer at lower numbers hence improved mass and heat transfer. Solutal stratification, Retardation-relaxation parameter and diffusion raised temperature thus heat transfer.
Conclusion: Deborah number, solutal stratification, retardation-relaxation parameter and diffusion improves heat and mass transfer.
Keywords: Base fluid, nanofluid, magneto-hydrodynamic, brownian diffusion, thermophoresis