Presentation of entropy due to heat transfer irreversibility of MHD Williamson fluid over an inclined channel

Author:

Panda Subhajit12ORCID,Pradhan Geetanjali3ORCID,Nayak D.3ORCID,Pattnaik P. K.3ORCID,Mishra S. R.4ORCID

Affiliation:

1. Department of Mathematics, National Institute of Technology, Mizoram, Aizawl 796012, India

2. Department of Computer Science and Artificial Inteligence, SR University, Warangal-506371, Telangana, India

3. Department of Mathematics, Odisha University of Technology and Research, Bhubaneswar, Odisha 751029, India

4. Department of Mathematics, ITER, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha 751030, India

Abstract

The non-Newtonian characteristic of the fluid flow phenomena has several applications in industries and the production of engineering gadgets. Based upon the role, the present work deals with the flow of Williamson nanofluid past two inclined parallel sheets. Further, the influence of radiating heat due to thermal radiation, Ohmic heating because of the magnetization, and inclined angle on Williamson fluid are presented, which are vital for the heat transfer enhancement. The proposed study became novel due to the scrutiny of entropy for the irreversibility processes within the system that is obtained due to heat transfer. The designed model with dimensional form is developed by converting to dimensionless forms with the help of similarity transformations. The finalized transformed equations are handled analytically using the Homotopy perturbation method (HPM). Heat irreversibility is calculated by inserting the observed values into entropy generation and Bejan number. The suggested method of solution for the momentum profile is verified by comparing it to a previously published numerical result in some limited circumstances, and great agreement is found. The result reveals that the entropy generation is enhanced near the upper wall of the channel for the magnetized particle but thermal radiation attenuates it, however, the fluid temperature boosts up for the enhanced coupling constraint i.e. for the existence of Eckert number.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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