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Mathematical modeling of bio-magnetic fluid bounded within ciliated walls of wavy channel
Numerical Methods for Partial Differential Equations ( IF 3.9 ) Pub Date : 2021-01-20 , DOI: 10.1002/num.22763
Mubbashar Nazeer 1 , Farooq Hussain 2 , Sadia Iftikhar 3 , Muhammad Ijaz Khan 4 , K. Ramesh 5 , Nasir Shehzad 6 , Afifa Baig 3 , Seifedine Kadry 7 , Yu‐Ming Chu 8, 9
Affiliation  

Peristaltic transport of couple stress fluid with heat transfer is investigated through flexible walls of the channel furnished with hair-like structures. Locomotion of biological fluid is the result of the simultaneous propagation of metachronal waves (MCWs) and peristaltic waves. MCW emerges due to multi-movement of cilia, while the elastic-walls of the channel are responsible for the peristaltic wave. The two-dimensional rheological flow experiences the resistive behavior of applied magnetic fields, besides, the role of viscous dissipation and entropy generation. A closed-form solution is achieved for the nonlinear coupled differential equation, which is vetted through graphs. Finally, the theoretical analysis introduces the manufacture of a ciliate bronchial tube that can efficiently; remove mucus out of the lungs and bloodstream.

中文翻译:

波状通道纤毛壁内生物磁性流体的数学模型

通过配有毛发状结构的柔性通道壁研究了耦合应力流体的蠕动传输与热传递。生物体液的运动是异时波(MCW)和蠕动波同时传播的结果。MCW 的出现是由于纤毛的多次运动,而通道的弹性壁则负责蠕动波。二维流变流经历外加磁场的电阻行为,此外还有粘性耗散和熵产生的作用。非线性耦合微分方程得到了闭式解,并通过图形进行了检验。最后,理论分析介绍了纤毛支气管的制作,该纤毛支气管可以高效地;清除肺部和血液中的粘液。
更新日期:2021-01-20
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