Hydrodynamics in weak gravitational fields two-dimensional oscillations of an ideal fluid in a rectangular channel

1972 ◽  
Vol 7 (5) ◽  
pp. 705-714 ◽  
Author(s):  
N. D. Kopachevskii

The current article dispenses the numerical investigation of a two dimensional unsteady laminar flow of incompressible fluid passing a regular pentagonal obstacle in an open rectangular channel. The centre of attention of this work is the comparison of drag coefficients estimated for two distinct cases based on the orientation of face and corner of an obstacle against the flow direction. The numerical results shows that the corner – oriented obstacle bring about 42% larger value of drag coefficient at Re = 500 than face – oriented obstacle. The substantial growth in the expanse of vortex behind obstacle (presented as a function of fluid inertia 25 < Re < 500) is analyzed through the contours and streamline patterns of velocity field. The two eddies in the downstream become entirely unsymmetrical at Re = 500 for both the cases, whereas; the flow separation phenomena occurs a bit earlier in the face – oriented case at Re = 250. Two dimensional Pressure – Based – Segregated solver is employed to model the governing equations written in velocity and pressure fields. The numerical simulations of unsteady flow are presented for 50 seconds time frame with time step 0.01 by using one of the best available commercial based Computational Fluid Dynamics (CFD) software, ANSYS 15.0.


1968 ◽  
Vol 32 (2) ◽  
pp. 353-365 ◽  
Author(s):  
D. H. Peregrine

Equations of motion are derived for long gravity waves in a straight uniform channel. The cross-section of the channel may be of any shape provided that it does not have gently sloping banks and it is not very wide compared with its depth. The equations may be reduced to those for two-dimensional motion such as occurs in a rectangular channel. The order of approximation in these equations is sufficient to give the solitary wave as a solution.


Author(s):  
Masato Akamatsu ◽  
Mitsuo Higano ◽  
Yoshio Takahashi ◽  
Hiroyuki Ozoe

Two-dimensional numerical computations were carried out to clarify the influence of magnetizing force for air in a vertical cylindrical container with the thermal and magnetic field gradients under gravitational and non-gravitational fields. Several axial position of the electric coil was tested for numerical computation. In a vertical cylindrical container with the stagnant conduction and the Benard conditions, the aerial flow was able to be controlled by the magnetizing force under both gravitational and non-gravitational fields. The flow pattern and the heat transfer rate strongly depended on the axial position of the electric coil.


1981 ◽  
Vol 20 (1) ◽  
pp. 243-247 ◽  
Author(s):  
Yasuhiro Ouwa ◽  
Masaaki Watanabe ◽  
Harumi Asawo

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