An analytical investigation of the mixed convective Casson fluid flow past a yawed cylinder with heat transfer analysis

Author:

Khan Shahid1,Selim Mahmoud M.23,Gepreel Khaled A.4,Ullah Asad5,Ikramullah 6,Ayaz Muhammad7,Mashwani Wali Khan1,Khan Emel1

Affiliation:

1. Department of Mathematics, Institute of Numerical Sciences, Kohat University of Science & Technology , Kohat 26000 , Khyber Pakhtunkhwa , Pakistan

2. Department of Mathematics, Al-Aflaj College of Science and Humanities Studies, Prince Sattam bin Abdulaziz University , Al-Aflaj 710-11912 , Saudi Arabia

3. Department of Mathematics, Suez Faculty of Science, Suez University , Suez 34891 , Egypt

4. Department of Mathematic, Faculty of Science, Taif University, P.O. Box 11099 , Taif 21944 , Saudi Arabia

5. Department of Mathematical Sciences, University of Lakki Marwat , K.P. 28420 , Pakistan

6. Department of Physics, Kohat University of Science & Technology , Kohat 26000 , Khyber Pakhtunkhwa , Pakistan

7. Department of Mathematics, Abdul Wali Khan University , Mardan 23200 , Khyber Pakhtunkhwa , Pakistan

Abstract

Abstract The hydrodynamic flow of an incompressible and isotropic Casson fluid through a yawed cylinder is investigated by employing continuity, momentum, and energy equations satisfying suitable boundary conditions. The density variation is governed by Boussinesq approximation. The model equations consisting of coupled partial differential equations (PDEs) are transformed by applying non-similar transformation relations. The set of transformed PDEs is solved using the analytical technique of homotopy analysis method (HAM). The impacts of varying yaw angle, and mixed convection and Casson parameters over fluid velocity (chordwise and spanwise components), its temperature, Nusselt number, and skin friction coefficients are investigated and explained through various graphs. It is found that the enhancing yaw angle, Casson parameter, and convection parameter augment the fluid velocity, heat transfer rate, and skin friction and reduce the fluid temperature. The agreement of present and published results justifies the application of HAM in modeling the mixed convective Casson fluid flow past a yawed cylinder.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

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