The ideal gas law
We will not cover the ideal gas law in very much detail in this course. The reasons are that:
1) presumably, you have worked with the law already quite a bit in chemistry and in ther
Topic 19: Review of Kinematics
Please memorize this derivation so that you never need to memorize any of these equations ever
again.
Yes, you need to memorize the quadratic formula.
a=a
Z
v=
a dt = at
1. Consider the vector field V and the scalar function
If it is possible, find the quantities requested below. If it is not possible to find the quantity, write not possible
xV
V
V
2V
2
x
V
(V )V
2.
Pascals law and pressure variation in a fluid at rest
1. Circle true or false. The pressure at any point in a moving, inviscid fluid is the same in all directions, as
long as that fluid is contained i
Incompressible, single fluids
1. Find the pressure in the fish tank as a function of z. Assume = constant
1A. Express your answer in absolute pressure
1B. Express your answer in gage pressure
1C. Supp
Stacked incompresible fluids
1. Find the pressure in the fish tank as a function of z. Assume 1 and 2 are constants
1A. Express your answer in gage pressure
1B. Express your answer in absolute pressur
Manometers
Remember that for this class, all manometer problems will contain only
incompressible fluids.
1. What is the specific weight A of the fluid in pipe A?
The manometer is open to the atmospher
Topic 02 Basic properties of fluids
1. Gaining some physical intuition for orders of magnitude and the properties of our amazing planet.
There are FOUR NUMBERS you must memorize for this course.
For t
Topic 18. Buoyancy and Stability
Hint: Students often lose points on exams because they do not indicate whether is fluid or object. We hate to
take points off for this, but often times we cannot tell
Topic 18. Buoyancy and Stability
Hint: Students often lose points on exams because they do not indicate whether is fluid or object. We hate to
take points off for this, but often times we cannot tell
Topic 24: Conservation of Mass
1. It takes you about 1 min to fill your cars fuel tank with 13.5 gallons of gasoline. What is the approximate
average velocity of the gasoline leaving the nozzle at thi
Topic 29: Major vs. Minor losses
1. A person with no experience in fluid mechanics wants to estimate the friction factor for 1 inch
diameter galvanized iron pipe at a Reynolds number of 8,000. The per
Topic 20: Conservation of momentum: confined flows
Here is a way to think about forces on pipes, nozzles, bends, etc
Here is a nozzle. In general, P2 does not need to equal Patm.
Define P1 and P2 to b
Topic: General characteristics of pipe flow
Note: For many of these problems, you will need to use the tables provided in Topic Zero
1. Water flows through a 50-ft pipe with a 0.5 inch diameter at 5 g
Problem 1) Write down the Reynolds Transport Theorem (RTT). Label the Lagrangian side of the RTT and
the Eulerian side of the RTT. Clearly identify all variables in the RTT.
1 point Eulerian vs. Lagra
1. A 100-ft-wide river with a flowrate of 2400 ft3/s
flows over a rock pile as shown in the figure.
Determine the direction of flow and the head loss
associated with the flow across the rock pile.
2.
Topic 32: Dimensional Similitude
Four Important facts about dimensional analysis (you need to know facts 1 - 4 for the exam)
Fact 1. Dimensional analysis is important, even though were not having a ch
4
Exam 5, Spring 2008
page 7
Problem 5 (20 points)
In class we discussed the use of a Venturi meter to
measure the velocity of a fluid flow. Here is a
"Venturi Pump," which consists of a constricted
c
Fluid Mechanics
Problem Set 1
1. Complete the homework problems on the worksheet on the Del Operator
Answers posted separately
2. Complete the homework problems on the worksheet on Double Integrals
An
Extra problems on buoyancy
Problem 1:
A cylindrical slab of ice (density 900kg/m3) of circular cross section (radius R=2.0m) and
height H=20cm floats in sea water (density 1030kg/m3).
(a) A group of N
Solutions to problem 0 and Problem 17 will not be posted, they are just problems for you to
think about.
Problem 19 does not exist.
1. Find the pressure in the fish tank as a function of z.
Assume = c
ME 241/ BME 270
Worksheet on the operator (called del or nabla)
Adapted from Introduction to Electrodynamics by David J. Griffiths, Prentice Hall, 1981
Part One: The definition of the operator
All of