Homework Set #4:
Due date: 10/19/07, by 11:00 am.
Problem #1:
An oil tank has diameter 1 m and is filled with oil to a depth of 0.3 m.
Its base rests about 0.15
m off the ground.
This tank is to be drained through an oil filled tube (a siphon) which is 1.1 m
long and has inner diameter 0.005 m.
Oil has density and viscosity about 1,000 kg/m
3
and 0.001
Pa s, respectively.
One end of the tube rests at the bottom surface of the tank; the other rests on
the ground.
0.15 m
1 m
0.3 m
ground
tube 1.1 m long and
0.005 m in diameter
a)
Determine the initial volumetric flow rate Q of oil through the tube.
b)
For the validity of assumption of laminar flow in a circular tube, Reynolds number,
defined by
is to be smaller or equal 2100. Is the assumption of laminar flow justified?
Briefly justify
our answer.
Re
z
D
u
ρ
µ
=
Problem # 2:
A Newtonian fluid fills a long cylindrical tube of radius R held vertically as shown.
The tube
wall is moving upward with velocity V < 0 (V is less than zero if the tube is moving up and z is
defined pointing downward as shown below).
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 dicarlo
 Fluid Dynamics, crude oil, BSL Example

Click to edit the document details