Abstract
The aim of the present study is to analyze the effects of aligned magnetic field and radiation on biomagnetic fluid flow and heat transfer over an unsteady stretching sheet with various slip conditions. The magnetic field is assumed to be sufficiently strong enough to saturate the ferrofluid, and the variation of magnetization is approximated by a linear function of temperature difference. The governing boundary layer equations with boundary conditions are simplified by suitable transformations. Numerical solution is obtained by using the bvp4c function technique in MATLAB software. The numerical results are derived for the velocity, temperature, the skin friction coefficient, and the rate of heat transfer. The evaluated results are compared with analytical study documented in scientific literature. The present investigation illustrates that the fluid velocity is decreased with the increasing values of radiation parameter, magnetic parameter, and ferromagnetic interaction parameter, though is increased as the Prandtl number, Grashof number, permeable parameter and thermal slip parameter are increased. In this investigation, the suction/injection parameter had a good impact on the skin friction coefficient and the rate of heat transfer.
Highlights
During the last few decades, due to its application in several areas in science and engineering, the study of flow and heat transfer over an unsteady stretching sheet has drawn significant attention to researchers
Blood is a suspension of numerous cells such as red blood cells, white blood cells, and platelets in a liquid electrolyte solution called plasma
In order to assess the validity of the numerical results, the values of local Nusselt number −θ (0) have been compared with the existing works of Magyari and Keller [35], El-Aziz [36], Bidin and Nazar [8], and Anwar Ishak [10] by setting S = 0, S f = 0, St = 0, β = 0, λ = 0, A = 0, k3 → ∞, Gr = 0, Ec = 0, A∗ = 0, B∗ = 0, ξ = π/2
Summary
During the last few decades, due to its application in several areas in science and engineering, the study of flow and heat transfer over an unsteady stretching sheet has drawn significant attention to researchers. Pennes [4] studied the effects of blood perfusion and metabolic heat generation in living tissues using a simplified bio-heat transfer model. This model bears the potential to describe the effect of blood flow on tissue temperature, it has some considerable short comings. This is because uniform perfusion rate was assumed, and the direction of blood flow was not accounted for. In his model, only the stream of venous blood as the fluid stream equilibrated with tissue was considered
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