Study of Viscous Flow through Permeable Walls with Expanding or Contracting Gaps using Laplace Transform and HPM
permeation reynolds number, homotopy perturbation method (HPM), differential transformation method (DTM), optimal homotopy analysis method (OHAM)
Abstract
In the present paper the problem of laminar, incompressible and viscous flow between two moving porous walls, which enable the fluid to enter or exit during successive expansions or contractions, has been is solved using Laplace transform and Homotopy Perturbation Method (HPM).the effects of various physical parameter on velocity profile has been studied and presented through graphs and tables.
Downloads
How to Cite
References
Ho Chang, Ji Ha, Joong Park, In Kim, Hyun Shin (1989) Velocity field of pulsatile flow in a porous tube. 22(11-12), 1257-1262.
E Dauenhauer, J Majdalani (1999) Unsteady flows in semi-infinite expanding channels with wall injection. 99, 3523.
J Majdalani, C Zhou (2003) Moderate‐to‐large injection and suction driven channel flows with expanding or contracting walls. 83(3), 181-196.
Youssef Boutros, Mina Abd-El-Malek, Nagwa Badran, Hossam Hassan (2006) Lie-group method for unsteady flows in a semi-infinite expanding or contracting pipe with injection or suction through a porous wall. 197(2), 465-494.
J Majdalani, C Zhou (2003) Moderate-to-large injection and suction driven channel flows with expanding or contracting walls. 83, 181-196.
Y Boutros, M Abd-El-Malek, N Badran, H Hassan (2006) Liegroup method for unsteady flows in a semi-infinite expanding or contracting pipe with injection or suction through a porous wall. 197(2), 465-494.
Ji-Huan He (2000) Α Review on Some New Recently Developed Nonlinear Analytical Techniques. 1(1), 51-70.
Ji-Huan He (2005) Homotopy Perturbation Method for Bifurcation of Nonlinear Problems. 6(2), 207-208.
Z Ganji, D Ganji (2008) Approximate Solutions of Thermal Boundary-layer Problems in a Semi-infinite Flat Plate by using He's Homotopy Perturbation Method. 9(4), 415-422.
D Ganji, H Ashory Nezhad, A Hasanpour (2011) Effect of variable viscosity and viscous dissipation on the Hagen-Poiseuille flow and entropy generation. 27(3), 529-540.
D Ganji, A Sadighi (2006) Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations. 7(4), 411-418.
J Zhou (1986) Differential transformation and its applications for electrical circuits.
Published
2014-10-07
Issue
Section
License
Copyright (c) 2014 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.