You have a sheet of a volatile fluid that flows through a vertical wall, as shown in the figure. The fluid is in a steady state, it is laminar and the variation of the fluid pressure is equal to the vapour pressure, that is to say that the profile of the- fluid is subject to the pressure that the vapour has. If you assume that the v, component is negligible compared to the va component and disregarding the effects of shear forces (Tij = 0), prove that the velocity in the r direction is: (1) where pf and pv are the densities of the fluid and the vapour phase.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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7
You have a sheet of a volatile fluid that flows
through a vertical wall, as shown in the figure.
The fluid is in a steady state, it is laminar and
the variation of the fluid pressure is equal to the
vapour pressure, that is to say that the profile of the
fluid is subject to the pressure that the vapour has.
If you assume that the vy component is negligible
compared to the va component and disregarding
the effects of shear forces (Tij = 0), prove that the
velocity in the a direction is:
1
(es - Pu) 82|
(1)
where pf and po are the densities of the fluid and
the vapour phase.
Transcribed Image Text:You have a sheet of a volatile fluid that flows through a vertical wall, as shown in the figure. The fluid is in a steady state, it is laminar and the variation of the fluid pressure is equal to the vapour pressure, that is to say that the profile of the fluid is subject to the pressure that the vapour has. If you assume that the vy component is negligible compared to the va component and disregarding the effects of shear forces (Tij = 0), prove that the velocity in the a direction is: 1 (es - Pu) 82| (1) where pf and po are the densities of the fluid and the vapour phase.
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