Transient Flow of a Compressible Fluid in a Connected Layered Permeable Medium

2004 ◽  
Vol 57 (2) ◽  
pp. 153-169 ◽  
Author(s):  
B. Lenoach ◽  
T. S. Ramakrishnan ◽  
R. K. M. Thambynayagam
2016 ◽  
Vol 5 (3/4) ◽  
pp. 172 ◽  
Author(s):  
Nan Chen ◽  
Fanglin Wang ◽  
Ruifeng Hu ◽  
Nepal C. Roy ◽  
Md. Anwar Hossain

2010 ◽  
Vol 644 ◽  
pp. 97-106 ◽  
Author(s):  
B. U. FELDERHOF

The flow of a viscous compressible fluid in a circular tube generated by a sudden impulse at a point on the axis is studied on the basis of the linearized Navier–Stokes equations. A no-slip boundary condition is assumed to hold on the wall of the tube. Owing to the finite velocity of sound the flow behaviour differs qualitatively from that of an incompressible fluid. The flow velocity and the pressure disturbance at any fixed point different from the source point vanish at short time and decay at long times with a t−3/2 power law.


2010 ◽  
Vol 649 ◽  
pp. 329-340 ◽  
Author(s):  
B. U. FELDERHOF

The flow of a viscous compressible fluid in a circular tube generated by a sudden impulse at a point on the axis and directed transverse to the axis is studied on the basis of the linearized Navier–Stokes equations. A no-slip boundary condition is assumed to hold on the wall of the tube. The flow behaviour differs qualitatively from that for a point impulse in the direction of the axis in that there is no coupling to a diffusive sound mode. As a consequence, the transverse velocity autocorrelation function of a suspended Brownian particle decays at long times faster than t−3/2.


Water ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 448 ◽  
Author(s):  
Xuelin Tang ◽  
Xiangyu Duan ◽  
Hui Gao ◽  
Xiaoqin Li ◽  
Xiaoyan Shi

In hydraulic systems, transient flow often occurs and may results in cavitation in pipelines. In this paper, the Computational Fluid Dynamics (CFD) method based on the Fluent software was used to investigate the cavitation flow in pipeline; the density-pressure model was incorporated into the continuity equation by using further development of UDF (user defined function), which reflects the variable wave speed of the transient cavitation flow, and the related algorithms were established based on weakly compressible fluid Reynolds Average Navier-Stokes (RANS) techniques. Firstly, the numerical simulations of the transient non-cavitation and cavitation flows caused by the fast closing valve in the reservoir-pipe-valve system were carried out by using the grid slip technique. The simulation results can enrich the flow field information such as velocity, pressure and vapor volume fraction. Through the evolution process of the pressure field, the propagation characteristics of pressure waves can be analyzed qualitatively and quantitatively. Through the evolution process of the velocity field, it can be seen that the velocity distribution in the wall area changes rapidly and has a high gradient, which mainly depends on the viscosity. However, the change of the velocity distribution in the core region is related to the velocity distribution of the history of the past time, which mainly depends on the diffusion. The formation, development and collapse of the cavity can be successfully captured, and it can be clearly and visually observed that the uneven distribution of vapor cavity in the direction of pipe length and pipe diameter, and the vapor cavity move slowly along the top of the pipe wall. Rarefaction wave’s propagation into pressure decreasing region and pressure increasing region can lead to different results of cavitation flow. The accuracy and reliability of the weakly compressible fluid RANS method were verified by comparing the calculated results with the experimental data.


2016 ◽  
Vol 5 (3/4) ◽  
pp. 172
Author(s):  
Md. Anwar Hossain ◽  
Ruifeng Hu ◽  
Nepal C. Roy ◽  
Fanglin Wang ◽  
Nan Chen

Author(s):  
J. E. Byrne ◽  
H.L. Ding ◽  
H.S. Ergur ◽  
Hamid R. Falaki
Keyword(s):  

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