Unsteady time-dependent incompressible Newtonian fluid flow between two parallel plates by homotopy analysis method (HAM), homotopy perturbation method (HPM) and collocation method (CM)
| Autor: | H. A. Hoshyar, Iman Rahimipetroudi, H. Akhavan, M.R. Shirkhani, Davood Domiri Ganji |
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| Rok vydání: | 2018 |
| Předmět: |
Fluid Flow and Transfer Processes
lcsh:Motor vehicles. Aeronautics. Astronautics 020209 energy Mechanical Engineering Numerical analysis Mathematical analysis Aerospace Engineering Reynolds number 02 engineering and technology 021001 nanoscience & nanotechnology Matrix similarity Physics::Fluid Dynamics symbols.namesake Fuel Technology Flow (mathematics) Collocation method Ordinary differential equation Automotive Engineering 0202 electrical engineering electronic engineering information engineering symbols Vector field lcsh:TL1-4050 0210 nano-technology Homotopy analysis method Mathematics |
| Zdroj: | Propulsion and Power Research, Vol 7, Iss 3, Pp 247-256 (2018) |
| ISSN: | 2212-540X |
| Popis: | Analytical and numerical analyses have performed to study the problem of the flow of incompressible Newtonian fluid between two parallel plates approaching or receding from each other symmetrically. The Navier–Stokes equations have been transformed into an ordinary differential equation using a similarity transformation. The powerful analytical methods called collocation method (CM), the homotopy perturbation method (HPM), and the homotopy analysis method (HAM) have been used to solve nonlinear differential equations. It has been attempted to show the capabilities and wide-range applications of the proposed methods in comparison with a type of numerical analysis as fourth-order Runge–Kutta numerical method in solving this problem. Also, velocity fields have been computed and shown graphically for various values of physical parameters. The objective of the present work is to investigate the effect of Reynolds number and suction or injection characteristic parameter on the velocity field. Keywords: Homotopy analysis method (HAM), Collocation method (CM), Homotopy perturbation method (HPM), Parallel porous plates, Unsteady flow |
| Databáze: | OpenAIRE |
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