The development of the flow field in the entrance region is theoretically examined, for the case of flow between two parallel flat plates. The flow field is described by the parabolic Navier-Stokes equations. Because of the nature of these equations; it is convenient to solve them by the application of the local similarity solution method. According to this method, dimensionless form of momentum equations are transferred to ordinary differential equations. These two modified equations are solved numerically by Runge-Kutta method of ordinary differential equations accompanied with shooting method of boundary value problems. The values of coefficient of friction are calculated at different positions along the passage. Also the velocity profile at any position, according to this approach, can be obtained. Three passages, in this work, are studied; with Reynolds number ( based on the half of the height of the passage) of 100, 200 and 300.
Wasel, M. (2021). Solution of Parabolic Navier-Stokes Equations for the Entrance Region-Flow between two Parallel Plates.. MEJ- Mansoura Engineering Journal, 16(1), 1-10. doi: 10.21608/bfemu.2021.169658
MLA
Mohamed Gamal Hassan Wasel. "Solution of Parabolic Navier-Stokes Equations for the Entrance Region-Flow between two Parallel Plates.". MEJ- Mansoura Engineering Journal, 16, 1, 2021, 1-10. doi: 10.21608/bfemu.2021.169658
HARVARD
Wasel, M. (2021). 'Solution of Parabolic Navier-Stokes Equations for the Entrance Region-Flow between two Parallel Plates.', MEJ- Mansoura Engineering Journal, 16(1), pp. 1-10. doi: 10.21608/bfemu.2021.169658
VANCOUVER
Wasel, M. Solution of Parabolic Navier-Stokes Equations for the Entrance Region-Flow between two Parallel Plates.. MEJ- Mansoura Engineering Journal, 2021; 16(1): 1-10. doi: 10.21608/bfemu.2021.169658
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