ME 106, Fluid Mechanics
Assignment 7 Solutions
1. For the following function can we use potential ow theory, and why? (Assume the
uid is inviscid.)
V = (2xt 2yt
i
j)
V = (2xt 2yt
i
j)
u v
+
= 2t 2t = 0
x y
Thus, the ow is incompressible
v u
=00=0
x y
Thus
Saturday, December 12, 2009 Professor Philip S. Marcus
ME 106
Solution to Final Examination
1a) The relevant input parameters are: , Router , inner , H , Rinner , outer , and . Specically, we do not include g , and the air pressure. We choose units of cfw
Saturday, December 12, 2009 Professor Philip S. Marcus
ME 106
Final Examination
1) 20 points You have built a small Couette-Taylor apparatus. In this apparatus, an incompressible ow with constant density and kinematic viscosity is conned between two conce
O. Sava s ME 106 Fluid Mechanics Spring 2011 SCP Special/Computational Problems
Jan 11, 2011
1. Consider a rigid sphere of radius a submerged in a liquid of density . The total force on the sphere due to the hydrostatic pressure distribution is F=
S
p n
Professor Philip S. Marcus
ME106
Solutions Problem Set 8 - non-Munson
Problems
Problem 1
Note that Mc (t) is the total mass of the chickens, their rockets and backpacks
and the exhaust gas that comes from the rockets. Note that Vc (t) is the average
z
vel
Problem Set 7
Due in class Friday April 11
1. Examine the steady flow in Figure 1 below.
Water with constant density exits a hose at point 1 with velocity V1 at an angle 1 with respect to
horizontal. Gravity g makes the stream tube of the exiting water cu
ME106 Discussion 4/8, 4/9
I apologize in advance for the unusual format of these solutions. I wanted to make sure the discussion
had them, but I also dont have a whole bunch of time to write up something nicely in LaTeX. Hopefully
they are sufficient.
Sol
Professor Philip S. Marcus
ME106
Problem Set 8
Due in class Friday April 18, 2014
1) We are now chicken experts and also experts in driving trucks across bridges. We
are about to be rocketry experts. We are prepared therefore to combine the two
together.
ME 106 Fluid Mechanics
Spring 2009
Midterm Examination 2
The two problems given below concern steady plane flows of an inviscid, incompressible fluid, and body forces are neglected. Thus, Euler's hydrodynamical equation reduces to - = = / N/m3 . (1)
1. (a
ME 106 Fluid Mechanics
Homework set #13
11/28/2012
Fall 2012
Goal: This weeks homework is the only one on compressible flows.
Note: Remember that you can check out the textbook at the Bechtel Library if you still do not have it.
When there is a (*) in fro
ME 106 Fluid Mechanics
Homework set #9
10/24/2012
Fall 2012
Goal: This weeks homework focuses on viscous flows.
Note: Remember that you can check out the textbook at the Bechtel Library if you still do not have it.
When there is a (*) in front of the ques
ME 106 Fluid Mechanics
Homework set #4
09/19/2012
Fall 2012
Goal: This weeks homework should help you get started with easy flow dynamics problems. Youll
spend most of your time applying Bernouillis equation.
Note: Remember that you can check out the text
Professor Philip S. Marcus
Solution to Problem 3-6
1
Finding P (z)
The pressure in the uid can be obtained by integrating the hydrostatic equation
dP/dz =
g , or by nding the weight of the column uid above a certain point
at height z, or by inspection. At
Prof. Philip Marcus
Due in Class
Problem Set 3
1. Consider any simple volume (i.e., one without holes in it so no doughnuts , e.g. think of a
volume as something that you could make by continuously distorting the shape of a basketball
without cutting its
ME106 Midterm#1 Problem 1 solution
a/
: circumferential velocity at radial position r.
r : tangential velocity at r=r2 due to rotation of outer cylinder.
2
So the LHS is the ratio of circumferential velocity at r to the tangential velocity at r2.
[
] = L.
Professor Philip S. Marcus
ME106
Homework Solution 4
Problem 1
The suction cup is in equilibrium. Therefore the sum of all of the forces on it
are zero:
Fwall + W + F1 + F2 + Finner = 0
(1)
where Fwall is the force from the wall, W is the weight of the su
due in class
Professor Philip S. Marcus
ME106
Homework Problem 1 - statics
Munson (seventh edition): Chapter 2: 2.3, 2.4, 2.5, 2.9, 2.11, 2.12.
1) Understanding uid dynamics relies on the physics that you learned during your
freshman and sophomore years.
due in class
Professor Philip S. Marcus
ME106
Homework Problem Set 2 - statics, forces,
torques
Munson (seventh edition): In Chapter 2: problems 2.43, 2.49, 2.50, 2.54,2.88, 2.93,
2.95, 2.121, 2.137
1) Finding the pressure, density, and temperatures of th