ENGS-150 Spring 2013
INTERMEDIATE FLUID MECHANICS
FINAL EXAM
SOLUTIONS
1. (10 points) Consider road traffic as a fluid system (again!). The traditional model
exposed in class has the vehicle velocity u depending linearly on the car density
according to:

ENGS-150 Spring 2013 INTERMEDIATE FLUID MECHANICS MID-TERM EXAM SOLUTIONS
1. (10 points) Consider road traffic as a fluid system and define x as the distance along a one-lane one-way street, t as time, n(x,t) as the number of cars per mile of street (the

INTERMEDIATE FLUID MECHANICS
Lecture 2: Strain, Vorticity, Circulation and Stress
Benoit Cushman-Roisin Thayer School of Engineering Dartmouth College See: Kundu et al., 2012 Section 3.4 (pages 76-82)
The vector velocity field u (u , v, w) has 3 componen

INTERMEDIATE FLUID MECHANICS
Dynamics of sports balls
Benoit Cushman-Roisin Thayer School of Engineering Dartmouth College
See: Kundu et al., 2012 Section 9.9 (pages 395-399)
-5/4 for sphere
Not so different for the flow around a sphere.
1
Zone of typical

INTERMEDIATE FLUID MECHANICS
Shear Turbulence (Wall Turbulence)
Benoit Cushman-Roisin Thayer School of Engineering Dartmouth College
Rough bottom and sides cause friction and vertical shear.
We note that the velocity is systematically reduced in the proxi

INTERMEDIATE FLUID MECHANICS
Lecture 1: Introduction
Benoit Cushman-Roisin
Thayer School of Engineering
Dartmouth College
Definition of a Fluid
As opposed to a solid, a fluid is a substance
that cannot resist a shear force without
motion.
Honey is a fluid

INTERMEDIATE FLUID MECHANICS
Boundary layer detachment
Drag on moving bodies
Benoit Cushman-Roisin
Thayer School of Engineering
Dartmouth College
See: Kundu et al., 2012
Sections 9.7 and 9.8 (pages 382-395)
Two things can happen to a boundary layer:
1. Sw

ENGS-150 Spring 2013
INTERMEDIATE FLUID MECHANICS
HOMEWORK #6
SOLUTIONS
1. (10 points) Derive Equation (15.31) on page 740, which gives the area A of a nozzle
in terms on the Mach number M (or Ma) of the flow.
We start with conservation of mass flow rate

ENGS-150 Spring 2013
INTERMEDIATE FLUID MECHANICS
HOMEWORK #5
SOLUTIONS
1. (10 points) (Problem 12.11 on page 609 of Kundus book with notation changed to
conventional notation as used by Prof. Cushman-Roisin in his lectures) In many
situations, measuremen

ENGS-150 Spring 2013
INTERMEDIATE FLUID MECHANICS
HOMEWORK #4
SOLUTIONS
1. (10 points) A wedge exists between a flat plate and a curved surface with clearance
b(x) = b1/(1+x/L) from x = 0 (entrance) to x = L (exit), as depicted below. The curved
surface i

ENGS-150 Spring 2013
INTERMEDIATE FLUID MECHANICS
HOMEWORK #3
SOLUTIONS
1. (10 points) Consider mixed capillary-gravity waves on deep water.
(a) (5 points) What is the group velocity? Notice the minimum. At which wavelength
does the minimum occur?
(b) (5

ENGS-150 Spring 2013
INTERMEDIATE FLUID MECHANICS
FINAL EXAM
Assigned: 10am, Friday 31 May 2013
Due:
5pm, Tuesday 4 June 2013
1. (10 points) Consider road traffic as a fluid system (again!). The traditional model
exposed in class has the vehicle velocity

ENGS-150 Spring 2013 INTERMEDIATE FLUID MECHANICS MID-TERM EXAM
Assigned: Tuesday 30 April 2013 Due: 5pm, Thursday 2 May 2013
1. (10 points) Consider road traffic as a fluid system and define x as the distance along a one-lane one-way street, t as time, n