Pressure Variation Along Streamlines
ME332: Fluid Mechanics
Joseph Senechal
Section: 005
8:00 AM 10:50 AM
Aryan Mehboudi
October 9, 2014
1
Abstract
In this lab experiment, pressure and velocity were both determined along various streamlines.
Once pressure
Pressure Variation Along
Streamlines
1. Introduction
The purpose of this lab is to demonstrate the connection between
pressure and velocity variations along streamlines using the Bernoulli equation,
and the utilization of this equation for velocity measur
Conservation of Energy
Lab Session 8
ME 332 Fluid mechanics
Andrew Hildner
Section 8
Tuesday, 7:00 pm
Aryan Mehboudi
March 31, 2015
Abstract
The focus of the experiments in this laboratory session was to reinforce the concepts of
a characteristic curve, a
Name:_
ME 332, Spring 2009
Exam 2
Problem 1 (50 points):
The nozzle assembly on a fire-fighting boat is fixed to the boat deck by several heavy bolts.
The nozzle is directed at an angle of 35 degrees to the horizontal and has an outlet diameter
of d = 3 i
Homework 12 Solutions
P6.1 An engineer claims that flow of SAE 30W oil, at 20C, through a 5-cm-diameter smooth pipe at
1 million N/h, is laminar. Do you agree? A million newtons is a lot, so this sounds like an awfully high
flow rate.
Solution: For SAE 30
Lecture 18 (Navier Stokes Equation)
Differential Equation of Linear Momentum
dV
g p + ij =
dt
u
P xx yx zx
u
u
u
+
+
+
= + u + v + w
t
x
x
y
z
x
y
z
v
P xy yy zy
v
v
v
+
+
+
= + u + v + w
g y
t
y
x
y
z
x
y
z
w
P xz yz zz
w
w
w
+
+
+
=
g z
Lecture 19 (Differential Energy Equation)
Differential Energy Equation
du
+ p ( V ) = (kT ) +
dt
2
2
2
2
2
u 2
v
w v u w u u w
= 2 + 2 + 2 + + +
+ + +
y
z x y y z z x
x
Boundaries Conditions
Continuity:
+ ( V ) = 0
t
Momentum:
dV
g p + ij =
Lecture 20 (Dimensional Homogeneity)
The principle of dimensional homogeneity
If an equation truly expresses a proper relationship between variables in a physical process it will be
dimensionally homogeneous; that is, each of its additive terms will have
Lecture 21 (Variables and Scaling Variables)
Definition
Variables are things we wish to plot, the basic out of the experiment or theory. The scaling variables are
then used to turn the variables into non dimensional numbers
Note that there is more than on
Lecture 17 (Differential Approach for Mass Conservation)
The Acceleration Field of a Fluid
V (r , t ) = i u ( x, y, z , t ) + j v( x, y, z , t ) + k w( x, y, z , t )
dV V V
V
V V
a=
=
+ u
x + v y + w z = t + V V
dt
t
(
Differential Equation of Mass Con
Lecture 22 (Buckingham PI Theorem)
PI Theorem I: expectations in reduction of variables
If a physical process satisfies the principle of dimensional homogeneity and involves n dimensional
variables, it can be reduced to a relation between only k dimension
Lecture 16 (The Energy Equation)
The Energy Equation
dQ dW dE d
=
= edV + e V n dA
dt
dt
dt dt CV
CS
dE
1
1
= (u + V 2 + gz ) dV + (h + V 2 + gz ) V n dA
Q WS WV =
dt t CV
2
2
CS
Friction and Shaft Work in Low-Speed Flow
P V2
P V2
+
= +
2 g + z
Lecture 15 (The Angular Momentum Theorem)
Angular Momentum Theorem
B = Ho
Ho =
( r V )dm
SYST
d Ho
=
= r V
dm
d
dt ( H
)
o SYST
= Mo =
d
( r V ) dV + V r V n dA
dt CV
CS
Chapter 11 Turbomachinery
11.1 Describe the geometry and operation of a human peristaltic PDP which is cherished by every romantic person on earth. How do the two ventricles differ? Solution: Clearly we are speaking of the human heart, driven periodically
Lecture 1 (Introduction)
Concept of a fluid: collection of mass which cannot resist shear stress
Continuum Assumption: The collection volume is neither too small (where molecular variation is
important) or too large (where bulk aggregation is important)
D
Lecture 2 (Viscosity and Surface Tension)
Viscosity: quantitative measure of a fluids resistance to flow ( ) . Viscosity is a function temperature and
is an inherent characteristic of a particular fluid.
Newtonian Fluid: a fluid where the shear stress var