Bio-fluid flow analysis based on heat transfer and variable viscosity

doi:10.1007/s10483-019-2499-8

Abstract

Abstract: This study investigates the cilia transport phenomenon from the perspectives of the heat transfer and variable viscosity in a bending channel. The rightward wall is maintained at a temperature of T₀, and the leftward wall has a temperature of T₁. Each wall has a metachronal wave that travels along its wall. The structures of the ciliary assemblies are calculated by the well-known simplifying suppositions of the large wavelength and the small Reynolds number approximation. The flow phenomenon for the Newtonian fluid is described as a function of cilia and a metachronal wave velocity. The pressure rise is calculated with MATHEMATICA. The theme of the cilia beating flow is inspected with scheming plots, and its features are discussed at the end of the article.

Key words: vectorial equation of motion, Schwarzchild field, cilia-driven flow, heat transfer, metachronal wave, curved channel, temperature dependent viscosity, exact solution

2010 MSC Number:

97M60

H. SADAF. Bio-fluid flow analysis based on heat transfer and variable viscosity. Applied Mathematics and Mechanics (English Edition), 2019, 40(7): 1029-1040.

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