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Computation of boundary layer flow of porous medium based on finite difference method

  • Mohamed Amine Khadimallah (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Mudassar Jalil (Department of Mathematics, COMSATS Institute of Information Technology) ;
  • Muzamal Hussain (Department of Mathematics, University of Sahiwal) ;
  • Elimam Ali (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University)
  • Received : 2023.08.04
  • Accepted : 2024.06.23
  • Published : 2024.01.25
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Abstract

In this paper, boundary layer flow is observed through stretching cylinder exponentially with non-linear velocity. This cylinder is rested in porous medium. Appropriate similarity transformation is employed for the conversion of governing PDEs into ODEs. To compute the problem and solution series numerical method is applied and evaluated by using finite difference Keller-Box method. The velocity ratio, permeability parameter, Reynold number is figure out to examine the effect of on velocity profile. Fluid velocity and skin friction coefficient goes down with increment of Reynold number and permeability parameter. While reverse behavior is reported for velocity ratio. The results are validated with earlier investigations and found very well.

Keywords

Acknowledgement

The authors extend their appreciation to the Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia for funding this research work through the project number (IF2/PSAU/ 2022/01/21994).

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