Chapter 8 Potential Flow and Computational Fluid Dynamics
8.1 Prove that the streamlines (r, ) in polar coordinates, from Eq. (8.10), are orthogonal to the potential lines (r, ). Solution: The streamline slope is represented by
dr r d
|streamline = vr
v
=
Chapter 7 Flow Past Immersed Bodies
7.1 For flow at 20 m/s past a thin flat plate, estimate the distances x from the leading edge at which the boundary layer thickness will be either 1 mm or 10 cm, for (a) air; and (b) water at 20C and 1 atm. Solution: (a
Chapter 5 Dimensional Analysis and Similarity
5.1 For axial flow through a circular tube, the Reynolds number for transition to turbulence is approximately 2300 [see Eq. (6.2)], based upon the diameter and average 3 velocity. If d = 5 cm and the fluid is
Chapter 4 Differential Relations for a Fluid Particle
4.1 An idealized velocity field is given by the formula
V = 4txi - 2t 2 yj + 4 xzk
Is this flow field steady or unsteady? Is it two- or three-dimensional? At the point (x, y, z) = (1, +1, 0), compute (
Chapter 2 Pressure Distribution in a Fluid
105
champagne 6 inches above the bottom:
2 4 p AA + (0.96 62.4) ft - (13.56 62.4) ft = patmosphere = 0 (gage), 12 12
or: PAA = 272 lbf/ft 2 (gage)
Then the force on the bottom end cap is vertical only (due to s
Chapter 2 Pressure Distribution in a Fluid
2.1 For the two-dimensional stress field in Fig. P2.1, let
xx = 3000 psf yy = 2000 psf xy = 500 psf
Find the shear and normal stresses on plane AA cutting through at 30. Solution: Make cut "AA" so that it just h
Chapter 1 Introduction
1.1 A gas at 20C may be rarefied if it contains less than 1012 molecules per mm3. If Avogadro's number is 6.023E23 molecules per mole, what air pressure does this represent? Solution: The mass of one molecule of air may be computed
Chapter 9 Compressible Flow
9.1 An ideal gas flows adiabatically through a duct. At section 1, p1 = 140 kPa, T1 = 260C, and V1 = 75 m/s. Farther downstream, p2 = 30 kPa and T2 = 207C. Calculate V2 in m/s and s2 - s1 in J/(kg K) if the gas is (a) air, k =
Chapter 10 Open Channel Flow
10.1 The formula for shallow-water wave propagation speed, Eq. (10.9) or (10.10), is independent of the physical properties of the liquid, i.e., density, viscosity, or surface tension. Does this mean that waves propagate at th
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
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STEVENS INSTITUTE OF TECHNOLOGY
DEPARTMENT OF MECHANICAL ENGINEER
STEVENS HONOR SYSTEM PLEDGE:
I pledge my honor that I have abided by the Stevens Honor System
(The above piedge is to be written and signed by the student at the bottom of this cover sheet)
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DEPARTMENT OF MECHANICAL ENGINEER
Quiz III
ME 342 Fluid Mechanics (Spring 2015)
Instructor: Prof. Chang-Hwan Choi
Pledge:
Note: You can use only hard-copy textbook and lecture slides.
Score:
#1 (30 pt):
#2 (30 pt):
Total (60 pt): 1. An incompressible, viscous uid is placed between
horizon
ME 342 - Fluid Mechanics: Homework 8
Fall 2015 - Sections A & B
Due:
Friday
11/13
Reading:
Chapter 4
Problems: (10 pts each) Note: Answers to even problems in back of textbook
1. Textbook problem 4.36: A constant-thickness film of viscous liquid flows in
Quiz III
ME 342 Fluid Mechanics (Spring 2015)
Instructor: Prof. Chang-Hwan Choi
Section: _
Name: _
Pledge:_
_
Note: You can use only hard-copy textbook and lecture slides.
Score:
#1 (30 pt.): _
#2 (30 pt.): _
Total (60 pt.): _
1
1. An incompressible, visc
ME 342 - Fluid Mechanics: Homework 9
Fall 2015 - Sections A & B
Due: Friday
11/20
Reading: Chapter 5
Problems: (10 pts each) Note: Answers to even problems in back of textbook
1. Textbook problem 5.25: The thrust F of a propeller is generally thought to b
Midterm Exam Solution, ME 342 Fluid Mechanics (Spring 2008)
1. In a certain industrial process, oil of density ρ flows through
the inclined pipe in the figure. A U-tube manometer, with fluid
density ρm, measures the pressure difference between points 1
STEVENS INSTITUTE OF TECHNOLOGY
CHARLES V. SCHAEFER, JR. SCHOOL OF ENGINEERING
MECHANICAL ENGINEERING DEPARTMENT
FLUID MECHANICS LABORATORY
FORCE OF A JET
PURPOSE
The objective of this experiment is to determine, both theoretically and experimentally, the
STEVENS INSTITUTE OF TECHNOLOGY
CHARLES V. SCHAEFER, JR. SCHOOL OF ENGINEERING
MECHANICAL ENGINEERING DEPARTMENT
FLUID MECHANICS LABORATORY
FLOW METERS AND PIPE FLOW
PURPOSE
To determine the characteristics of a common type of fluid flow meter, the sharp-
ME 342 Fluid Mechanics
Lecture Note on Ch. 6:
Viscous Flow in Ducts
Prof. Chang-Hwan Choi
Stevens Institute of Technology
Department of Mechanical Engineering
Spring 2008
Motivation
•
Pipe problem:
– Given the pipe geometry and its
added components plus
ME 342 Fluid Mechanics
Lecture Note on Ch. 5:
Dimensional Analysis and Similarity
Prof. Chang-Hwan Choi
Stevens Institute of Technology
Department of Mechanical Engineering
Spring 2008
Motivation
Introduction
•
Dimensional analysis:
– A method for reduc
ME 342 Fluid Mechanics
Lecture Note on Ch. 4:
Differential Relations for Fluid Flow
Prof. Chang-Hwan Choi
Stevens Institute of Technology
Department of Mechanical Engineering
Spring 2008
Motivation
2
The Acceleration Field of a Fluid
V (r , t ) = iu ( x
ME 342 Fluid Mechanics
Lecture Note on Ch 3
L t
N t
Ch. 3:
Integral Relations for a Control Volume
Prof. Chang-Hwan Choi
Stevens Institute of Technology
Department of Mechanical Engineering
Spring 2008
Motivation
Concept of control volume
Reynolds transp