Analytical investigation of laminar flow through expanding or contracting gaps with porous walls
| Autor: | A.M. Khazaee, M. Jafaryar, Morteza Hosseini, Erfan Mohammadian, F. Farkhadnia |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Viscous flow
Materials science lcsh:Motor vehicles. Aeronautics. Astronautics Permeable channel Aerospace Engineering Laminar flow Physics::Fluid Dynamics symbols.namesake Permeation Reynolds number Shear stress Optimal homotopy asymptotic method (OHAM) Fluid Flow and Transfer Processes Mechanical Engineering Homotopy Reynolds number Mechanics Non-dimensional wall dilation rate Nonlinear system Fuel Technology Bounded function Automotive Engineering Compressibility symbols Dilation (morphology) lcsh:TL1-4050 |
| Zdroj: | Propulsion and Power Research, Vol 3, Iss 4, Pp 222-229 (2014) |
| ISSN: | 2212-540X |
| DOI: | 10.1016/j.jppr.2014.11.001 |
| Popis: | 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 investigated analytically using optimal homotopy asymptotic method (OHAM). OHAM is a powerful method for solving nonlinear problems without depending to the small parameter. The concept of this method is briefly introduced, and it׳s application for this problem is studied. Then, the results are compared with numerical results and the validity of these methods is shown. After this verification, we analyze the effects of some physical applicable parameters to show the efficiency of OHAM for this type of problems. Graphical results are presented to investigate the influence of the non-dimensional wall dilation rate ( α ) and permeation Reynolds number ( R e ) on the velocity, normal pressure distribution and wall shear stress. 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. |
| Databáze: | OpenAIRE |
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