NUMERICAL STUDY OF BIOMAGNETIC MAXWELL FLUID PAST A NONLINEARLY STRETCHING SHEET WITH CONSIDERING MAGNETIZATION AND ELECTRICAL CONDUCTIVITY

• Published in: Journal of mechanics in medicine and biology Vol. 23; no. 5
• Main Authors: MURTAZA, M. G., MISRA, J. C., TZIRTZILAKIS, E. E., FERDOWS, M.
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 01.06.2023; World Scientific Publishing Co. Pte., Ltd
• Subjects: Coefficient of friction; Deborah number; Dimensionless numbers; Electrical resistivity; Ferrohydrodynamics; Ferromagnetism; Field strength; Flow profiles; Fluid flow; Magnetic dipoles; Magnetic fields; Magnetic flux; Magnetic properties; Magnetization; Magnetohydrodynamics; Maxwell fluids; Nonlinear control; Nonlinear differential equations; Nonlinearity; Ordinary differential equations; Parameters; Partial differential equations; Physical properties; Skin friction; Stretching; Two dimensional flow; ferrohydrodynamics; Biomagnetic fluid; nonlinear stretching sheet; magnetohydrodynamics; Maxwell fluid
• ISSN: 0219-5194; 1793-6810
• DOI: 10.1142/S0219519423500343

This study goal is to examine the flow of two-dimensional biomagnetic Maxwell fluid past a nonlinearly stretched sheet while it is subject to an applied magnetic field that is produced by the presence of a magnetic dipole. Assumedly, the fluids magnetization M varies linearly with temperature T and magnetic field strength H. Consideration is given to the effects of magnetohydrodynamics (MHDs) and ferrohydrodynamics (FHDs) on the flow. The controlling nonlinear partial differential equation is presented with similarity transformations to change it into coupled ordinary differential equations. These equations are then numerically solved with the help of common finite differences method. The influence of the addressed problem parameters, namely, magnetic parameter ( M ) , ferromagnetic parameter ( β ) , Deborah number ( λ 1 ) and nonlinear stretching parameter ( n ) on the flow profile is discussed with the help of graphical demonstration. The obtained results show that the fluid velocity increases near the wall but its reverse after a fixed point from the wall with increases nonlinearity stretching parameter. The study also demonstrates that as the magnetic field intensity increases, the temperature distributions increase while the fluid velocity decreases. It was also discovered that, in contrast to the situation of pure hydrodynamics, the effect of MHD or FHD interaction is to slow down the fluid velocity. By making numerous comparisons with previously published work, the numerical method accuracy is examined, and the comparisons show that the results are generally in good accord. Along with the flow parameters, physical parameters like the dimensionless Nusselt number and the skin friction coefficient are shown. The study will be crucial for applications in medicine.