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MAE 33.61: Fluid Mechanics Notes by Faavo Sepri
W
Cha ter 3
3.5 FLUIDS IN RIGID BODY MOTION
Aithough this chapter deais with static fluicls, there are also specialized cases of
fluids in uniform motion for which the same concepts can be easily extended.
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
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 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
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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%”:
E Mi quMvme
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
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MAE 3161: Fluid Mechanics Notes by Paavo Sepri
LECTURE 4
Chapter 3
3. FLUID STATICS
In this case, the macroscopic fluid motion vanishes (averaged over molecular
motions), although the random molecular motions do not vanish.
For a macroscopically motionl
MAE 3161: Fluid Mechanics Notes by Paavo Sepri
W
7.3 THE VORTICITY EQUATION FOR INCOMPRESSIBLE 331.0“! (Continued)
Recall the Vorticity Equation {Eq.(7.13)} for incompressible ﬂow from last time:
%? + (ii-we = (av-V)“; + W20”)
For many flows, the fluid fa
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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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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
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)
’/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
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
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
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MAE 3161 Paavo Sepri
BASIC EQUATIONS OF FLUID MOTION IN INTEGRAL FORM
The Reynolds Transport Theorem:
51— 1103)ch a [Him + HFWMS
dt W- t) V at S
The Conservation of Mass:
5; iii pawn iii—85% + Woe-Me
V(J‘c,t) V S
The Linear Momentum Equation (Newton’s Sec
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
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
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
FLORIDA INSTITUTE OF TECHNOLOGY
MECHANICAL AND AEROSPACE ENGINEERING DEPARTMENT
MAE 3161-01: Fluid Mechanics
Fall 2016
Mon/Wed/Fri 2:00pm 2:50pm
Room: CRF 230
Instructor: Dr. Mark Archambault
Office: Olin Engineering Complex, Rm. 243
Phone: 321-674-7749
E