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Open AccessArticle

Second Law Analysis of Ciliary Pumping Transport in an Inclined Channel Coated with Carreau Fluid under a Magnetic Field

1
Department of Quantitative Methods, College of Business Administration, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 34212, Saudi Arabia
2
Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, Khobar 31952, Saudi Arabia
*
Author to whom correspondence should be addressed.
Coatings 2020, 10(3), 240; https://doi.org/10.3390/coatings10030240
Received: 20 January 2020 / Revised: 16 February 2020 / Accepted: 25 February 2020 / Published: 5 March 2020
A complete thermal analysis is performed for the propulsion of cilia in an inclined channel. Coating around the channel walls is provided by a Carreau fluid under a uniform magnetic field. Uniformly grown cilia produce propulsive metachronal waves by moving in a coordinated rhythm along the channel surface and adapt an elliptic path along the direction of flow. Using lubrication approximations, the governing equations, formulated in the wave frame of reference, are solved by the perturbation method. Validation of the analytic solution is provided by computing the solution numerically with the shooting method. This study is concerned with the parametric consequences on pertinent flow and heat transfer quantities, such as streamlines, velocity profile, temperature profile, entropy lines and the Bejan number. The results reveal that large cilia propel the axial velocity near the channel wall but put hindrance to the axial velocity and the temperature profile in the central part of the channel. The entropy production in the channel reduces for large cilia and a high Hartmann number. View Full-Text
Keywords: second-law analysis; magnetic field; inclined channel; Carreau fluid; ciliary motion second-law analysis; magnetic field; inclined channel; Carreau fluid; ciliary motion
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MDPI and ACS Style

Munawar, S.; Saleem, N. Second Law Analysis of Ciliary Pumping Transport in an Inclined Channel Coated with Carreau Fluid under a Magnetic Field. Coatings 2020, 10, 240.

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