MAE 3161: Fluid Mechanics Notes by Paavo Sepri
LECTURE 32
Chapter 8 (Read Sections 8-1 through 8-5)
9.2 CYLINDRICAL COORDINATES (Continued)
Last time, we discussed the transformation of coordinates to the cylindrical
system, and applied this to the case o
MAE 3161: Fluid Mechanics Notes by Paavo Sepri
LECTURE 30
Chapter 8
9. INTERNAL INCOMPRESSIBLE VISCOUS FLOW
Summary of MAE 3161 to date:
(1) We have derived the basic equations describing fluid mechanics from both
the large scale (integral) and small scal
MAE 3161: Fluid Mechanics Notes by Paavo Sepri
LECTURE 24
Chapter 10
7.6.2 EXAMPLE #2: FLOW UNDER A SLUICE GATE
Consider water in a reservoir, which is restrained by a gate that may siide up anti
down, as shown. When this Sluice Gate is raised, water may
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MAE 3161: Fluid MechaniCS Notes by Paavo Sepri
LECTURE 17
Chapter 9 (Also read in Chapter 4: Sections 4-4 and 4—5)
5.4 KINEMATICS 0F FLUID MOTION
Last time, we introduced the “Stress Tensor”, 6 . We also observed that in order to
solve problems involvin
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MAE3161
Assignment, for Homework #3
The piston of a vertical piston—cylinder device contain-
ing a gas has a mass of 85 kg and a cross—
sectional area of 0.04 m2 Fig 133—7). The local atmospheric
pressure is 95 kPa, and the gravitational acceleration is
9
MAE 3161 Assignment for Homework #7 Paavo Sepri
Due: 28 October 2013
l. Two—dimensional, steady ﬂow in the neighborhood of a planar stagnation point (located at x=0, y=0) is described by
the following velocity components:
u=ax ; vz—ay ; yZO
Here, y points
’/z_
MPH-L 316»! +{omeworlt #:‘7’ aggrimeif ﬁgﬂfm;
A jet of water issuing from a stationary nozzle at 15 11113 (A; = 0.05 In?) strikes a turning
vane mounted on a cart as shown. The vane turns the jet through angle 6 = 50°. Deter—
mine the value of M requ
NAME
+
FLORIDA INSTITUTE OF TECHNOLOGY
MECHANICAL & AEROSPACE ENGINEERJNG DEPARTMENT
Fall 2013 Dr. P. Sepri
[MAE 3161-01: Fluid Mechanics
Quiz #1
September 20, 2013
Use Pencil, Eraser, and Pocket Calculator Only. Do NOT remove the staple.
1. (20 Points)
Name P” Q/V'A?“
l
Florida Institute of Technology
Mechanical and Aerospace Engineering Programs
Fall 2013 Dr. Paavo Sepri
AME 3161-01: Fluid Mechanics
Midterm Examination
October 18, 2013
Open Book, Calculator, Laptop (if needed), and Notes:
1. (30 Poin
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MAE 3161: Fluid Mechanics Notes by Paavo Sepri
LECTQRE 2
Chapter 7
8.0 DIMENSIONAL ANALYSIS AND SIMILITUDE
(Read Chapter 7)
We have discussed the basic equations of fluid mechanics from both the integral
(large scale) and differential (very small scale)
MAE 3161: Fluid Mechanics Notes by Paavo Sepri
LECTURE 9
Chapter 4
From last time, we had the two views of physical spatial co-ordinates vs material
co-ordinates:
12x1 V66) 5‘2 5mg 69%”:
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V as the
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st:
x
=x
z 3 33
n
Z<
A volume of fixe
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MAE 3161: Fidid Mechanics Notes by Paavo Sepri
LECTURE 12
Chapter 5
5.3 INTEGRAL FORM OF THE ENERGY EQUATION
Recall the statement of the First Law of Thermodynamics:
Whenever a closed system undergoes a complete cycle of operation, the total
heat influx
FLORIDA TECH
DEPARTMENT OF MECHANICAL AND AEROSPACE ENGINEERING
MAE 3161-01 Fluids Mechanics
Homework #4 Practice Problems (not graded)
1. Water enters a tank of diameter DT steadily at a mass flow rate of
. An orifice at the
m&in
bottom with diameter Do
Chapter 4: Fluid Kinematics
Eric G. Paterson
Department of Mechanical and Nuclear Engineering
The Pennsylvania State University
Spring 2005
Note to Instructors
These slides were developed1 during the spring semester 2005, as a teaching aid for the
undergr
MAE 3161
Paavo Sepri
BASIC EQUATIONS OF FLUID MOTION IN DIFFERENTIAL FORM
The Conservation of Mass:
v
g v ) 0
(
t
The Linear Momentum Equation (Newtons Second Law of Motion):
v
v v
( v )
vv
v
g vv ) g ) f B
(
(
t
The Navier-Stokes Relations for the Stre
MAE 3161
Paavo Sepri
BASIC EQUATIONS OF FLUID MOTION IN INTEGRAL FORM
The Reynolds Transport Theorem:
d
F
v
v
v
t ) F (t , x )dVx t dVx F (ng )dS
v
dt V ( x ,
V
S
The Conservation of Mass:
d
v
v
v
t ) (t , x )dVx t dVx (ng )dS 0
v
dt V ( x ,
V
S
The Linea