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Entropy analysis in ciliated inclined channel filled with hydromagnetic Williamson fluid flow induced by metachronal waves
Author(s) -
Najma Saleem
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci191006183s
Subject(s) - bejan number , hartmann number , physics , mechanics , magnetic field , heat transfer , fluid dynamics , reynolds number , transverse plane , classical mechanics , turbulence , anatomy , nusselt number , quantum mechanics , medicine
This study reveals the entropy analysis of hydromagnetic pumping flow of Williamson fluid through a 2-D symmetric channel carrying cilia. Propulsive metachronal waves are mobilized by whipping and beating of uniformly distributed cilia which follow elliptic trajectory movements in the parallel direction of flow. The flow is resisted by a uniform transverse magnetic field. The entire study is carried out in wave frame of reference. After implying lubrication approximations, the governing equations of the present flow problem are solved by perturbation method. Effects of physical parameters of interest on various flow quantities, the total entropy generation number and the Bejan number are plotted and discussed. It is observed that fluid velocity and temperature is enhanced in the core channel region for small values of Hartmann number and cilia length. It is also noticed that the entropy generation and the Bejan number are decreasing function of magnetic field. Near the channel center, irreversibility due to fluid friction is dominant but at the channel wall heat transfer irreversibility effects are observed to be substantial. The confined bolus reduces in size for small values of cilia length parameter and large values of Hartmann number.

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