The aim of this paper is to analyze the biomagnetic fluid flow - namely the flow of blood over an unsteady curved stretching sheet in the presence of magnetic field. This study emphasizes the effect of ferrohydrodynamics (FHD) interaction parameters on the flow field and FHD has a great enhancement effect on biomagnetic fluid rather than regular fluid. The complicated coupled system of differential equations that is the leading equations of continuity, momentum and energy equations are converted into non-dimensional form with some suitable similarity variables. This solution is obtained numerically by applying an efficient numerical technique based on finite difference method, consisting of central differencing, tridiagonal matrix manipulation and an iterative procedure. By using Fortran software, the solution of the nonlinear problem is produced. The obtained numerical values are plotted through graphs for velocity, temperature dimensionless pressure, skin friction coefficient, rate of heat transfer (local Nusselt number) and dimensionless wall pressure with various parameters, and the variations based on these plots are discussed. The obtained results reveal that the dimensionless velocity is increased considerably with the increment of ferromagnetic interaction parameter and stretching parameter whereas temperature profile and dimensionless pressure show inverse relation. Both fluid velocity and temperature profiles decrease with the increasing value of curvature and suction parameters and reverse trend is true for dimensionless pressure. It is also incurred that the skin friction coefficient, rate of heat transfer and dimensionless wall pressure increase with the increasing value of curvature parameter. Finally, the accuracy of the results is also compared for some specific values of the parameters with other documented in literature, and the results are found to be in good agreement.

biomagnetic fluid, magnetic dipole, curved stretching sheet, finite difference method.

Received: January 7, 2023; Accepted: February 21, 2023; Published: March 6, 2023

How to cite this article: M. G. Murtaza, Tamanna Akter, E. E. Tzirtzilkakis and M. Ferdows, Numerical study of biomagnetic fluid flow over an unsteady curved stretching sheet in the presence of magnetic field, Advances and Applications in Fluid Mechanics 30(1) (2023), 35-62. http://dx.doi.org/10.17654/0973468623003

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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