Entropy generation in MHD Casson fluid flow with variable heat conductance and thermal conductivity over non-linear bi-directional stretching surface

Muhammad Sohail; Zahir Shah; Asifa Tassaddiq; Poom Kumam; Prosun Roy

doi:10.1038/s41598-020-69411-2

Entropy generation in MHD Casson fluid flow with variable heat conductance and thermal conductivity over non-linear bi-directional stretching surface

Sci Rep. 2020 Jul 27;10(1):12530. doi: 10.1038/s41598-020-69411-2.

Authors

Muhammad Sohail¹, Zahir Shah², Asifa Tassaddiq³, Poom Kumam^{4

5}, Prosun Roy⁶

Affiliations

¹ Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad, 44000, Pakistan.
² Center of Excellence in Theoretical and Computational Science (TaCS-CoE), SCL 802 Fixed Point Laboratory, Science Laboratory Building, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok, 10140, Thailand. zahir.sha@kmutt.ac.th.
³ Department of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University, Al Majmaah, 11952, Saudi Arabia.
⁴ KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, 10140, Thailand. poom.kum@kmutt.ac.th.
⁵ Departments of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan. poom.kum@kmutt.ac.th.
⁶ Department of Mechanical Engineering, University of Wisconsin, Milwaukee, WI, USA.

Abstract

This consideration highlights the belongings of momentum, entropy generation, species and thermal dissemination on boundary layer flow (BLF) of Casson liquid over a linearly elongating surface considering radiation and Joule heating effects significant. Transportation of thermal and species are offered by using the temperature-dependent models of thermal conductivity and mass diffusion coefficient. Arising problem appear in the form of nonlinear partial differential equations (NPDEs) against the conservation laws of mass, momentum, thermal and species transportation. Appropriate renovation transfigures the demonstrated problem into ordinary differential equations. Numerical solutions of renovated boundary layer ordinary differential equations (ODEs) are attained by a proficient and reliable technique namely optimal homotopy analysis method (OHAM). A graphical and tabular interpretation is given for convergence of analytic solutions through error table and flow behavior of convoluted physical parameters on calculated solutions are presented and explicated in this examination. Reliability and effectiveness of the anticipated algorithm is established by comparing the results of present contemplation as a limiting case of available work, and it is found to be in excellent settlement. Decline in fluid velocity and enhancement in thermal and species transportation is recorded against the fluctuating values of Hartman number. Also reverse comportment of Prandtl number and radiation parameter is portrayed. Moreover, it is conveyed that supplementing values of the magnetic parameter condenses the fluid velocity and upsurges the thermal and concentration distributions. Negative impact of elevating Joule heating phenomenon is noted on the molecular stability of the system via Brinkman number [Formula: see text] Furthermore, the system's stability at a molecular level is controlled by diminishing values of radiation [Formula: see text] temperature difference [Formula: see text] concentration difference [Formula: see text] diffusion parameters [Formula: see text] and Brinkman number [Formula: see text].