Unsteady Two-dimensional Flow Analysis of Nanofluid through a Porous Channel with Expanding or Contracting Walls using Adomian Decomposition Method
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Date
2018
Authors
Sobamowo, M.G
Adeleye, O.A
Femi-Oyetoro, J.D
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Engineering Research
Abstract
In this paper, unsteady two-dimensional flow of nanofluid in a porous channel through expanding or contracting walls with large injection or suction is analyzed using Adomian decomposition method. From the results, it is established that increase in Reynolds number decreases the axial velocity at the center of the channel during the expansion while the axial velocity increases slightly near the surface of the channel when the wall contracts at the same rate. Also, as the wall expansion ratio increases, the velocity at the center decreases and increases near the wall. For every level of injection or suction, in the case of expanding wall, increasing acceleration leads to higher axial velocity near the center and the lower axial velocity near the wall. The approximate analytical solution is verified by numerical solution using shooting method coupled with Runge-Kutta method. The results of the Adomian decomposition method are in good agreements with the results of the numerical method. The present study will provide better physical insights into the flow phenomena such as biological fluids flow through contracting or expanding vessels, regression of the burning surface in the solid rocket motors, binary gas diffusion, transpiration cooling, flow in multichannel filtration systems etc.
Description
Keywords
Nanofluid; Porous Channel; Expanding or Contracting walls; Adomain decomposition method
Citation
Sobamowo, M., Adeleye, O., & Femi-Oyetoro, J. (2018) Unsteady Two-dimensional Flow Analysis of Nanofluid through a Porous Channel with Expanding or Contracting Walls using Adomian Decomposition Method, Journal of Engineering Research, University of Lagos. Vol. 22, No 2, pp. 1-16.