Study of Viscous Flow through Permeable Walls with Expanding or Contracting Gaps using Laplace Transform and HPM

1
Aisha Rafi
Aisha Rafi
2
Vivek Kumar Sharma
Vivek Kumar Sharma
1 Jagan Nath University,Jaipur

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Study of Viscous Flow through Permeable Walls with Expanding or Contracting Gaps using Laplace Transform and HPM Banner
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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.

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References

  1. Ho Chang,Ji Ha,Joong Park,In Kim,Hyun Shin (1989). Velocity field of pulsatile flow in a porous tube.
  2. E Dauenhauer,J Majdalani (1999). Unsteady flows in semi-infinite expanding channels with wall injection.
  3. J Majdalani,C Zhou (2003). Moderate‐to‐large injection and suction driven channel flows with expanding or contracting walls.
  4. 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.
  5. E Dauenhauer,J Majdalani (1999). Unsteady flows in semi-infinite expanding channels with wall injection.
  6. J Majdalani,C Zhou (2003). Moderate-to-large injection and suction driven channel flows with expanding or contracting walls.
  7. 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.
  8. Ji-Huan He (2000). Α Review on Some New Recently Developed Nonlinear Analytical Techniques.
  9. Ji-Huan He (2005). Homotopy Perturbation Method for Bifurcation of Nonlinear Problems.
  10. 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.
  11. D Ganji,H Ashory Nezhad,A Hasanpour (2011). Effect of variable viscosity and viscous dissipation on the Hagen-Poiseuille flow and entropy generation.
  12. D Ganji,A Sadighi (2006). Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations.
  13. J Zhou (1986). Differential transformation and its applications for electrical circuits.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

Aisha Rafi. 2014. \u201cStudy of Viscous Flow through Permeable Walls with Expanding or Contracting Gaps using Laplace Transform and HPM\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F5): .

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Issue Cover
GJSFR Volume 14 Issue F5
Pg. 49- 54
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

Issue date

October 7, 2014

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English

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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.

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Study of Viscous Flow through Permeable Walls with Expanding or Contracting Gaps using Laplace Transform and HPM

Vivek Kumar Sharma
Vivek Kumar Sharma
Aisha Rafi
Aisha Rafi Jagan Nath University, Jaipur

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