Problem *3.114
[Difficulty: 3]
Given:
Cylindrical container rotating as in Example 3.10
R
0.25 m
⋅
=
h
o
0.3 m
⋅
=
f2
H
z
⋅
=
Find:
(a) height of free surface at the entrance
(b) if solution depends on
ρ
Solution:
We will apply the hydrostatics equations to this system.
Governing Equations:
(Hydrostatic equation)
Assumptions:
(1) Incompressible fluid
(2) Atmospheric pressure acts everywhere
In order to obtain the solution we need an expression for the shape of the free surface in terms of
ω
, r, and h
o
. The required
expression was derived in Example 3.10. The equation is:
zh
o
ω
R
⋅
()
2
2g
⋅
1
2
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.
 Fall '07
 Lear
 Statics, Fluid Mechanics

Click to edit the document details