Analytical approximate solutions for two-dimensional viscous flow through expanding or contracting gaps with permeable walls

• Authors: Saeed Dinarvand , Mohammad Rashidi , Ahmad Doosthoseini
• Languages of publication: EN

Abstracts

EN

In this paper, the problem of laminar, isothermal, incompressible and viscous flow in a rectangular domain bounded by two moving porous walls, which enable the fluid to enter or exit during successive expansions or contractions is solved analytically by using the homotopy analysis method (HAM). Graphical results are presented to investigate the influence of the nondimensional wall dilation rate α and permeation Reynolds number Re on the velocity, normal pressure distribution and wall shear stress. The obtained solutions, in comparison with the numerical solutions, demonstrate remarkable accuracy. The present problem for slowly expanding or contracting walls with weak permeability is a simple model for the transport of biological fluids through contracting or expanding vessels.

Keywords

EN

expanding or contracting walls; nondimensional wall dilation rate; permeation Reynolds number; homotopy analysis method (HAM); convergence

Discipline

• 68.37.Hk: Scanning electron microscopy (SEM) (including EBIC)
• 68.37.Ps: Atomic force microscopy (AFM)
• 78.68.+m: Optical properties of surfaces
• 81.65.Cf: Surface cleaning, etching, patterning(see also 52.77.Bn Etching and cleaning in physics of plasmas)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 4
• Pages: 791-799

Dates

published

1 - 12 - 2009

online

21 - 7 - 2009

Contributors

author

Saeed Dinarvand

• Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran

author

Mohammad Rashidi

• Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran

author

Ahmad Doosthoseini

• Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran

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Identifiers

DOI

10.2478/s11534-009-0024-x