Pressure distribution between parallel plates arising from the molecular viscous flow of vapor during the sublimation of ice

1974 ◽  
Vol 26 (1) ◽  
pp. 43-47 ◽  
Author(s):  
P. A. Novikov ◽  
G. L. Malenko ◽  
L. Ya. Lyubin
Keyword(s):  
Pressure Distribution ◽  
Viscous Flow ◽  
Parallel Plates

scholarly journals On Darcy-Brinkman Equation: Viscous Flow Between Two Parallel Plates Packed with Regular Square Arrays of Cylinders

Entropy ◽  
2007 ◽  
Vol 9 (3) ◽  
pp. 118-131 ◽  
Author(s):  
Haidong Liu ◽  
Prabhamani Patil ◽  
Uichiro Narusawa
Keyword(s):  
Viscous Flow ◽  
Brinkman Equation ◽  
Parallel Plates

scholarly journals Numerical Study of Surface Roughness and Magnetic Field between Rough and Porous Rectangular Plates

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Ramesh B. Kudenatti ◽  
Shalini M. Patil ◽  
P. A. Dinesh ◽  
C. V. Vinay
Keyword(s):  
Magnetic Field ◽  
Surface Roughness ◽  
Pressure Distribution ◽  
Carrying Capacity ◽  
Hartmann Number ◽  
Numerical Study ◽  
Mathematical Formulation ◽  
Load Carrying Capacity ◽  
Parallel Plates ◽  
Load Carrying

This paper theoretically examines the combined effects of surface roughness and magnetic field between two rectangular parallel plates of which the upper plate has roughness structure and the lower plate has porous material in the presence of transverse magnetic field. The lubricating fluid in the film region is assumed to be Newtonian fluid (linearly viscous and incompressible fluid). This model consists of mathematical formulation of the problem with appropriate boundary conditions and solution numerically by finite difference based multigrid method. The generalized average modified Reynolds equation is derived for longitudinal roughness using Christensen’s stochastic theory which assumes that the height of the roughness asperity is of the same order as the mean separation between the plates. We obtain the bearing characteristics such as pressure distribution and load carrying capacity for various values of roughness, Hartmann number, and permeability parameters. It is observed that the pressure distribution and load carrying capacity were found to be more pronounced for increasing values of roughness parameter and Hartmann number; whereas these are found to be decreasing for increasing permeability compared to their corresponding classical cases. The physical reasons for these characters are discussed in detail.

scholarly journals Studies on pressure distribution in compression of block between parallel plates

1972 ◽  
Vol 22 (2) ◽  
pp. 101-112 ◽  
Author(s):  
Yuji MATSUURA ◽  
Mitsugu MOTOMURA ◽  
Toshio TANAKA
Keyword(s):  
Pressure Distribution ◽  
Parallel Plates

Accurate Study of Normal Pressure Distribution in Entrance Region of Channel

2005 ◽  
Author(s):  
Kensyuu Shimomukai ◽  
Hidesada Kanda
Keyword(s):  
Boundary Layer ◽  
Pressure Gradient ◽  
Pressure Distribution ◽  
Transport Equation ◽  
Normal Pressure ◽  
Reynolds Numbers ◽  
Entrance Region ◽  
Parallel Plates ◽  
The Difference ◽  
Vorticity Transport

There are few implicit solutions available for the pressure distribution in the y-direction. Thus, for the flow between parallel plates, the pressure distribution in the entrance region was studied, focusing on the pressure gradient in the y-direction at Reynolds numbers (Re) between 100 and 5000. In the numerical method, the vorticity transport equation is first solved and then Poisson’s equation for pressure distribution is solved without any assumptions taken for pressure distribution. Consequently, the difference in pressure between the wall and the centerline existed near the inlet and decreased as Re increased. The pressure at the wall is lower than that in the central core for Re ≤ 5000. This result shows that (i) the boundary-layer assumptions do not hold for Re ≤ 5000 and (ii) the pressure distribution is contrary to Bernoulli’s law across parallel plates, although the law does not apply to viscous flow.

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