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Mathematical modeling of bio-magnetic fluid bounded by ciliated walls of wavy channel incorporated with viscous dissipation: Discarding mucus from lungs and blood streams
International Communications in Heat and Mass Transfer ( IF 6.4 ) Pub Date : 2021-04-14 , DOI: 10.1016/j.icheatmasstransfer.2021.105274
Mubbashar Nazeer , S. Saleem , Farooq Hussain , Sadia Iftikhar , A. Al-Qahtani

Heat and mass transfer of non-Newtonian fluid is investigated in this article. Couples stress fluid has been treated as physiological fluid. The two-dimensional non-Newtonian flow is caused due to metachronal wave induced by the coincident oscillation of a tiny hair-like structure known as “Cilia” attached to opposite walls of the channel. A uniform magnetic field is also applied in the transverse direction, keeping the susceptibility of tiny size particles in view. A closed-form solution is obtained for the set of nonlinear differential equations, with the help of convective boundary conditions. The obtained results are also validated through graphs and tables, which reveal that a strong magnetic field badly effects the velocity of base fluid while it expedites as the length of tiny hair is prolonged. More energy is added to the system due to the Brinkman number, and the temperature profile depletes the Biot number. Finally, the Hartmann number allows the boluses to increase and expand in size, which acts as a resistive force across the channel.



中文翻译:

带有粘性消散的波浪形通道纤毛束缚的生物磁流体的数学模型:从肺和血流中清除粘液

本文研究了非牛顿流体的传热和传质。夫妻应激液已被视为生理液。二维非牛顿流是由于由称为“纤毛”的微小毛发状结构的同时振动引起的异时波引起的”连接到通道的相对壁。还在横向方向上施加了均匀的磁场,从而保持了对细小颗粒的敏感性。在对流边界条件的帮助下,获得了一组非线性微分方程的闭式解。通过图表还验证了所获得的结果,结果表明,强磁场严重影响基础液的速度,而随着细发的延长,基础液的速度加快。由于布林克曼数,更多的能量被添加到系统中,并且温度曲线耗尽了毕奥数。最终,哈特曼数使团块的大小增加和扩展,这可作为穿过通道的阻力。

更新日期:2021-04-14
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