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, Pakistan
  • Adnan Abbasi Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif AJ&K, Pakistan
  • Naveed Ahmed Department of Mathematics, HITEC University Taxila Cantt, Pakistan
  • Basharat Ullah

DOI:

https://doi.org/10.54938/ijemdm.2022.01.2.17

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.

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Published

2022-05-14

How to Cite

Khan, U., Abbasi, A., Ahmed, N., & Ullah, B. (2022). Effects of Thermal Radiation on Jeffery Hamel Flow for Stretchable Walls of Newtonian Fluid: Analytical Investigation . International Journal of Emerging Multidisciplinaries: Mathematics, 1(2), 71–83. https://doi.org/10.54938/ijemdm.2022.01.2.17

Issue

Vol. 1 No. 2 (2022)

Section

Research Article

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