Unsteady Stagnation Point Flow of Mass and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection

• Author(s): Sindi M. Chigozie ; Raphael E. Asibor ; Akindele M. Okedoye
• Paper ID: 1704162
• Page: 113-126
• Published Date: 16-03-2023
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 6 Issue 9 March-2023

Abstract

The interest in this work is due to the many practical applications which can be modeled or approximated. as transport phenomena in porous media. We consider the impacts of unsteady stagnation point flow of mass and heat transfer over a stretching/shrinking sheet with suction or injection in a stretchable porous device. The higher order nonlinear partial differential equations are converted into first order simultaneous linear differential equations using suitable similarity variables and then transformed to initial value problem. and are solved numerically using Runge–Kuta fourth order method along with shooting technique. The solution for the non-magnetic and buoyancy case is chosen as an initial guess and the iterations using Euler scheme are continued till convergence within prescribed accuracy is achieved, with the corrections incorporated in subsequent iterative steps until convergence, which is used to obtain the values of our initial guesses. As a result of the numerical calculations, the velocity, temperature and chemical species distributions for the flow are obtained and are displayed in figures and tables for different values flow governing parameters. From the result obtained it was observed that thermal Grashof number and buoyancy ratio aided the velocity for cooling problem while unsteadiness parameter increases the velocity distribution. Other emerging parameters were presented and discussed.

Keywords

Runge–Kutta, stagnation point, heat transfer, transport phenomena, porous media, shooting, stagnation point flow.

Citations

IRE Journals:
Sindi M. Chigozie , Raphael E. Asibor , Akindele M. Okedoye "Unsteady Stagnation Point Flow of Mass and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection" Iconic Research And Engineering Journals Volume 6 Issue 9 2023 Page 113-126

IEEE:
Sindi M. Chigozie , Raphael E. Asibor , Akindele M. Okedoye "Unsteady Stagnation Point Flow of Mass and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection" Iconic Research And Engineering Journals, 6(9)