MAE 308, Fundamental of Fluid Mechanics
Spring 2013
Examination 1
25 February 2013, 12:50 pm
Duration: 75 minutes
Name:_
Instructions:
1. Write your name on the first sheet (this page) of your exam.
2
MAE 308, Fluid Mechanics
Spring 2013
Homework Assignment 6
Handed out: March 27, 2013
Due: April 3, 2013
Problem 1 (25 points)
Show that the incompressible flow distribution in cylindrical coordinates
NCSU
MAE308
22. Assuming frictionless, incompressible, one-dimensional flow of water through the horizontal tee connection sketched below, estimate values of the x and y components of the force exer
12. A gate having the shape shown is located in the vertical side of an open tank containing water. The gate is mounted on a horizontal shaft. (a) When the water level is at the top of the gate, deter
NCSU
MAE308
MAE 308: Fluid Mechanics I HOMEWORK PROBLEMS
1. Throughout the semester, various information related to class will be posted at http:/www4.ncsu.edu/~nma/courses/308/index.html. At this w
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #1
Solutions
Problem 1. Estimate the number of pounds of mercury it would take to fill your bathtub.
List all assumptions and show all calculations.
Solutio
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #1
(due Thursday, September 4th, before the class)
Problem 1. Estimate the number of pounds of mercury it would take to fill your bathtub.
List all assumpti
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #5
(due Thursday, October 16th, before the class)
Problem 1. Problem 5.49 from the book.
Problem 2. A 5-cm-diameter horizontal jet of water, with a velocity
MAE 308
Fluid Mechanics
Lecture 21
MAE 308
Outline
Similarity, and Modeling
Geometric, Kinematic and Dynamic Similarities
Example
Viscous Flow in Pipes
Laminar and Turbulent Flows
Head Loss and Fri
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #2
Solutions
Problem 1. Problem 2.40 from the book.
-3.34 kPa
Problem 2. The hydraulic lift in a car repair shop has an output diameter of 30 cm and is to l
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #4
Solutions
Problem 1. Problem 4.8 from the book.
Other stagnation point: x = 2, y = -2
Problem 2. A two-dimensional steady velocity field is given by u =
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #7
Solutions
Problem 1. Problem 7.11 from the book.
1
Problem 2. A stirrer is used to mix chemicals in a large tank. The shaft power W
supplied to the stirr
Formula Sheet
Descriptive Statistics: Given data y1 , y2 , ., yn
Sample Mean = y =
n
X
yi /n
Sample Proportion = p = # in category/n
i=1
n
Sample Variance = S 2 =
1 X
(yi y)2
n 1 i=1
Sample Standard d
MAE 308: Fluid Mechanics
Fall 2017
HOMEWORK #4
(due Wednesday, September 27th, before the class)
Problem 1. Water (assumed inviscid and incompressible) flows steadily in the vertical variable-area
pip
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #7
(due Tuesday, November 11th, before the class)
Problem 1. Problem 7.11 from the book.
Problem 2. A stirrer is used to mix chemicals in a large tank. The
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #8
Solutions
Problem 1. Problem 8.18 from the book.
1
Problem 2. Problem 8.43 from the book.
2
Problem 3. Two reservoirs, which differ in surface elevation
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #6
Solutions
Problem 1. Problem 6.13 from the book.
1
Problem 2. Two velocity components of a steady, incompressible flow field are known:
u = ax+bxy+cy2 an
MAE 308
Fluid Mechanics
Lecture 23
MAE 308
Outline
Viscous flow in pipes
Turbulence
Nature of turbulence
Reynolds Time-Averaging NSEs
Laminar and turbulent shear stress
MAE 308
Four Types of Pipe
MAE 308
Fluid Mechanics
Lecture 5
MAE 308
Outline
Fluid Statics
hydrostatic forces on plane surfaces
center of area
center of pressure
discussion
examples
MAE 308
Hydrostatic forces on plane sur
MAE 308
Fluid Mechanics
Lecture 3
MAE 308
Outline
Fluid Properties
speed of sound
surface tension
Fluid Statics
MAE 308
Speed of sound
Sound is a signal (small disturbance of fluid
properties) pr
MAE 308
Fluid Mechanics
Lecture 7
MAE 308
Outline
Fluid Statics
Rigid Body Motion
Linear motion
Rigid-body rotation
Examples
MAE 308
Rigid-Body Motion
We will use a concept of
inertia forces
ma =
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #4
(due Thursday, October 2nd, before the class)
Problem 1. Problem 4.8 from the book.
Problem 2. A two-dimensional steady velocity field is given by u = x2
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #2
(due Thursday, September 11th, before the class)
Problem 1. Problem 2.40 from the book.
Problem 2. The hydraulic lift in a car repair shop has an output
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #8
(due Thursday, November 20th, before the class)
Problem 1. Problem 8.18 from the book.
Problem 2. Problem 8.43 from the book.
Problem 3. Two reservoirs,
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #6
(due Tuesday, October 28th, before the class)
Problem 1. Problem 6.13 from the book.
Problem 2. Two velocity components of a steady, incompressible flow
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #3
(due Thursday, September 18th, before the class)
Problem 1. Consider a large cubic ice block floating in seawater. The specific gravities
of ice and seaw
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #3
Solutions
Problem 1. Consider a large cubic ice block floating in seawater. The specific gravities
of ice and seawater are 0.92 and 1.025, respectively.
MAE 308: Fluid Mechanics
Fall 2014
HOMEWORK #5
Solutions
Problem 1. Problem 5.49 from the book.
1
Problem 2. A 5-cm-diameter horizontal jet of water, with a velocity of 30 m/s, strikes a
vertical stat
MAE 308: Fluid Mechanics
Fall 2017
HOMEWORK #6
(due Wednesday, October 11th, before the class)
Problem 1. Problem 3.178 from the book.
The horizontal pump discharges 20C water at 57 m3/h. Neglecting l