AMS 107/217 PHYS 107
Intro to Fluid Dynamics
Fall 2016 Nic Brummell
Homework 7
1 We are going to examine stationary (standing) waves in a rigid-walled 2-D tank of width L (x-direction)
and depth H (z-direction). Well ignore the y-direction.
(a) Write down
AMS 107/217 PHYS 107
Intro to Fluid Dynamics: Practice questions
H
h
Fall 2014 Nic Brummell
1 Hydrostatics. A canal consists of a horizontal channel of width d. A lock gate
across the channel separates water of depth H from water of depth h, where
h < H.
AIMS 107/217 PHYS 107 Intro to Fluzd Dynamics; Final Eran] Winter 201/ Nic Bmmmeii
PART 1: Easy conceptual questions.
60 total points: Your score: Your percentage:
0 [0 points] Write down your name: N i d,
1 [2 points] Write down the continuity equation (
AMS 107/217 PHYS 107
Intro to Fluid Dynamics
Fall 2016 Nic Brummell
Homework 3
1 Do Kundu & Cohen, Chapter 1, Exercise 1.15 (in the 5th edition: it is Exercise 5 in 4th
edition if you have an old book)
2 A two dimensional flow is given by the velocity fie
AMS 107/217 PHYS 107
Intro to Fluid Dynamics
Fall 2016 Nic Brummell
Homework 5
1 The keg drainage problem. A cylindrical vessel (ok, a big bucket of homebrew) open to the air at the top
with vertical walls and uniform cross-sectional area, A, is filled in
AMS 107/217 PHYS 107
Intro to Fluid Dynamics
Fall 2016 Nic Brummell
Homework 4
1 Vorticity. Calculate the vorticity of the following flows:
(a) u = (2x + 3y, x + z, z)
(b) u = (2y 2 , 3x2 , 4z 3 )
(c) u = (y, x, 0) where is a constant
(d)
u=(
yG
xG
, 2
)
AMS 107/217 PHYS 107
Winter 2014 Nic Brummell
Intro to Fluid Dynamics: Final Exam
PART 1: Easy conceptual questions.
60 total points: Your score:
Your percentage:
0 [0 points] Write down your name:
1 [2 points] Write down the continuity equation (conserva
AMS 107/217 PHYS 107
Intro to Fluid Dynamics: Final Exam
Fall 2016 Nic Brummell
Grad homework: Rescaling Equations
GRAD STUDENTS ONLY
Undergraduates: You are certainly welcome to try this problem too it is very useful to be able to
do this.
1 Convection o
3"
3.1 Water ows steadily through the vari-
able area horizontal pipe shown in Fig. P3.1. The
:velocity is given by V = 10(1 + x)i ft/s, where
x is in feet. Viscous effects are neglected. (a) De-
termine the pressure gradient, ap/ax, (as a func-
tion of x
AMS/PHY 107-217
Introduction to Fluid Dynamics
Nic Brummell
Applied Mathematics and Statistics, UCSC
Office: BE357a
Tel: 9-2122
brummell@ucsc.edu
Mathematicians
Im a mathematician!
What do mathematicians do?
Mathematics is a LANGUAGE
Just a way of writing