Effects of Thermal Radiation on Jeffery Hamel Flow for Stretchable Walls of Newtonian Fluid: Analytical Investigation

Authors

Umar Khan, Department of Mathematics and Statistics, Hazara University, Mansehra, PakistanFollow
Adnan Abbasi, Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif AJ&K, PakistanFollow
Naveed Ahmed, Department of Mathematics, HITEC University Taxila Cantt, PakistanFollow
Basharat UllahFollow

Corresponding Author

Umar Khan

Document Type

Research Article

Subject Areas

Numerical Analysis and Differential Equations

Keywords

Jeffery-Hamel flow, Stretching/Shrinking walls, Runge-Kutta scheme, Adomian’s decomposition method, nonlinear ordinary differential equations

Abstract

A viscous, incompressible fluid flows between two inclined planar walls. The walls are able to extend and decrease in size. By substituting an appropriate dimensionless variable, the dimensional partial differential equations of the flow model can be transformed into nondimensional ordinary differential equations. Solving nondimensional velocity and temperature in the model is made possible by the use of an analytical approach known as Adomian's decomposition (AD). Runge-Kutta techniques of order four are used to calculate numerical solutions to ensure the correctness of the analytical answer. On velocity and temperature, the impact of several dimensionless physical quantities embedded in the flow model is visualized graphically. The possibility of contracting or expanding a wall is considered. Finally, some final thoughts on this work.

How to Cite This Article

Khan, Umar; Abbasi, Adnan; Ahmed, Naveed; and Ullah, Basharat (2022) "Effects of Thermal Radiation on Jeffery Hamel Flow for Stretchable Walls of Newtonian Fluid: Analytical Investigation," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 1: Iss. 2, Article 1.
DOI: https://doi.org/10.54938/ijemdm.2022.01.2.17

Receive Date

2022-01-04 03:07:26

Publication Date

5-14-2022