Numerical study of stagnation point flow of Casson-Carreau fluid over a continuous moving sheet

Muhammad Amin Sadiq Murad; Faraidun Kadir Hamasalh; Hajar F. Ismael; Muhammad Amin Sadiq Murad; Faraidun Kadir Hamasalh; Hajar F. Ismael

doi:10.3934/math.2023353

AIMS Mathematics

2023, Volume 8, Issue 3: 7005-7020. doi: 10.3934/math.2023353

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Numerical study of stagnation point flow of Casson-Carreau fluid over a continuous moving sheet

1.
Department of Mathematics, College of Science, University of Duhok, Duhok, Iraq
2.
Department of Mathematics, College of Education, University of Sulaimani, Sulaimani, Iraq
3.
Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq

Received: 02 October 2022 Revised: 07 December 2022 Accepted: 15 December 2022 Published: 11 January 2023
MSC : 65D07, 65M25, 76W05

This paper is devoted to analysis the behavior of heat transfer of Casson-Carreau fluid at the magnetohydrodynamic (MHD) stagnation point with thermal radiation over a continuous moving sheet. The suitable similarity transform is utilized to transfer the governing differential equations into a system of differential equations and then solve the converted non-linear system by the collocation technique based on the B-spline function (CTBS) and Runge-Kutta method (RK). The quasi-linearization technique is utilized to approach the non-linear equations of the model to a system of linear equations and used CTBS to acquire the solution of the system of linear equations. The obtained results are investigated with the present literature by direct comparison. It is found that an increment in the value of the Weissenberg number decreases the velocity profile and enhances the temperature profile for Casson and Carreau fluids. Conversely, increasing the values of the magnetic parameter, shrinking parameter, and Casson fluid parameter improve the velocity profile and depreciate the thermal distribution. Further, the temperature profile declines with an improvement in radiation parameter and Prandtl number for Casson and Carreau fluids. The influence of distinct physical parameters on the velocity and temperature profiles are depicted via tables and illustrative graphs.
- Casson-Carreau fluids,
- magnetohydrodynamic,
- collocation method,
- B-spline function,
- magnetic field
Citation: Muhammad Amin Sadiq Murad, Faraidun Kadir Hamasalh, Hajar F. Ismael. Numerical study of stagnation point flow of Casson-Carreau fluid over a continuous moving sheet[J]. AIMS Mathematics, 2023, 8(3): 7005-7020. doi: 10.3934/math.2023353

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Abstract

This paper is devoted to analysis the behavior of heat transfer of Casson-Carreau fluid at the magnetohydrodynamic (MHD) stagnation point with thermal radiation over a continuous moving sheet. The suitable similarity transform is utilized to transfer the governing differential equations into a system of differential equations and then solve the converted non-linear system by the collocation technique based on the B-spline function (CTBS) and Runge-Kutta method (RK). The quasi-linearization technique is utilized to approach the non-linear equations of the model to a system of linear equations and used CTBS to acquire the solution of the system of linear equations. The obtained results are investigated with the present literature by direct comparison. It is found that an increment in the value of the Weissenberg number decreases the velocity profile and enhances the temperature profile for Casson and Carreau fluids. Conversely, increasing the values of the magnetic parameter, shrinking parameter, and Casson fluid parameter improve the velocity profile and depreciate the thermal distribution. Further, the temperature profile declines with an improvement in radiation parameter and Prandtl number for Casson and Carreau fluids. The influence of distinct physical parameters on the velocity and temperature profiles are depicted via tables and illustrative graphs.

References

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