Non-Newtonian biomagnetic fluid flow through a stenosed bifurcated artery with a slip boundary condition

doi:10.1007/s10483-020-2657-9

摘要/Abstract

摘要： The effects of a velocity slip and an external magnetic field on the flow of biomagnetic fluid (blood) through a stenosed bifurcated artery are investigated by using ANSYS FLUENT. Blood is regarded as a non-Newtonian power-law fluid, and the magnetization and electrical conductivity are considered in the mathematical model. The no-slip condition is replaced by the first-order slip condition. The slip boundary condition and magnetic force are compiled in the solver by the user-defined function (UDF). Numerical solutions are obtained by the finite volume method based on a nonuniform grid structure. The accuracy and efficiency of the solver are verified through a comparison with the literature. The results are presented graphically for different parameter values, and the effects of the magnetic number, the magnetic source position, the vascular obstruction ratio, the slip parameter, and the power-law index on the flow and temperature fields are illustrated.

关键词: power-law fluid, biomagnetic fluid, magnetic field, velocity slip, stenosed bifurcated artery

Abstract: The effects of a velocity slip and an external magnetic field on the flow of biomagnetic fluid (blood) through a stenosed bifurcated artery are investigated by using ANSYS FLUENT. Blood is regarded as a non-Newtonian power-law fluid, and the magnetization and electrical conductivity are considered in the mathematical model. The no-slip condition is replaced by the first-order slip condition. The slip boundary condition and magnetic force are compiled in the solver by the user-defined function (UDF). Numerical solutions are obtained by the finite volume method based on a nonuniform grid structure. The accuracy and efficiency of the solver are verified through a comparison with the literature. The results are presented graphically for different parameter values, and the effects of the magnetic number, the magnetic source position, the vascular obstruction ratio, the slip parameter, and the power-law index on the flow and temperature fields are illustrated.

Key words: power-law fluid, biomagnetic fluid, magnetic field, velocity slip, stenosed bifurcated artery

中图分类号:

37M05
76D05

Yaxin XU, Jing ZHU, Liancun ZHENG, Xinhui SI. Non-Newtonian biomagnetic fluid flow through a stenosed bifurcated artery with a slip boundary condition[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(11): 1611-1630.

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