带磁化和局部加热/冷却的垂直板上混合对流生物磁边界层流的非相似分析

IF 1.5 Q3 MECHANICS
Rayhan Prodhan, M. Ferdows, J. C. Misra, E. Tzirtzilakis, M. G. Murtaza
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引用次数: 0

摘要

本研究观察了外加磁场对通过垂直板的生物流体混合对流的理论和数值研究。数学公式为完整的生物磁流体动力学(BFD)模型,该模型涉及铁流体力学(FHD)和磁流体力学(MHD)原理。在这项工作中,研究对象是特定的生物流体,即人体血液。假设磁化与磁场强度呈线性关系,动态粘度和热导率与温度有关。通过熟悉物理问题中适当的非维变量,可以得到带有适当边界条件的非线性方程组。在数值求解中,我们采用了基于高效技术的有限差分法。在磁参数 Mn、粘度/温度参数 θr 和热/传导参数 S∗ 的作用下,对流动剖面、局部表皮摩擦系数和局部传热系数进行了计算。研究了局部加热或冷却的影响。计算结果以图表形式呈现,并以适当的方式进行了验证。研究表明,磁场对动脉血流的影响非常明显。这些结果有望在生理学、医学和生物工程领域得到有价值的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Non-Similar Analysis of Mixed Convection Biomagnetic Boundary Layer Flow Over a Vertical Plate with Magnetization and Localized Heating/Cooling
Theoretical and numerical investigation of an applied magnetic field on mixed convection flow of a biofluid through a vertical plate using contained heating or cooling is observed in this study. The mathematical formulation is that of the full Biomagnetic Fluid Dynamics (BFD) model which deals with on the ferrohydrodynamics (FHD) and magnetohydrodynamics (MHD) principle. In this work, the study is performed on a specific biofluid, viz. human blood. Assume that the magnetization very linearly with magnetic field strength, temperature dependency of dynamic viscosity and thermal conductivity is noticed. A system of non-linear equations with appropriate boundary condition is obtained by familiarizing suitable non-dimensional variables in the physical problem. For the numerical solution, we used finite difference method which is based on an efficient technique is applied in the problem. Computations for flow profiles, local skin friction coefficient and local heat transfer coefficient are performed with the magnetic parameter Mn, the viscosity/temperature parameter θr and the thermal/conductivity parameter S∗. The effect of the localized heating or cooling is examined. The computational results presented graphically and have been validated in an appropriate manner. The study reveals that the impact of a magnetic field for blood flow in arteries is found significantly. The results presented bear the promise of valuable applications in physiology, medicine and bioengineering.
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来源期刊
CiteScore
1.70
自引率
8.30%
发文量
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