Conservation of Energy (pp. 212-243)

Energy is a measure of the ability to do work.

../../_images/energy-p1-1.png

Fig. 100 Caption

Some examples include:

  • water stored behind a dam

  • wind blowing across a propeller

  • gasoline burned in a cylinder to push against a piston

Readings

  1. CE-3305-2022-1 Syllabus. http://54.243.252.9/ce-3305-webroot/0-Syllabus/ce-3305-2022-1-syllabus.html

  2. Hibbeler, R.C, Fluid Mechanics, 2ed. Prentice Hall, 2018. ISBN: 9780134655413 pp. 293-355

  3. DF Elger, BC Williams, Crowe, CT and JA Roberson, Engineering Fluid Mechanics 10th edition, John Wiley & Sons, Inc., 2013. (placeholder file to get links working). http://54.243.252.9/ce-3305-webroot/3-Readings/EFM-10.pdf

  4. Cleveland, T. G. (2014) Fluid Mechanics Notes to Accompany CE 3305 at Jade-Holshule (TTU Study Abroad 2015-2019), Department of Civil, Environmental, and Construction Engineering, Whitacre College of Engineering. http://54.243.252.9/ce-3305-webroot/3-Readings/ce3305-lecture10.pdf

Videos

Lesson Outline

  • Definition of energy

  • Example application

Energy

Energy is classified as:

  • mechanical energy associated with potion or position in a force field

  • thermal energy is associated with \(\Delta T\) and/or phasse change

  • chemical energy is associated with breaking chemical bonds to release energy (or creating bonds to absorb energy)

  • electrical energy is associated with electrical charge in an electric field

  • nuclear energy is associated with radioactive decay

Units of energy are force*distance:

  • Joule, \(J = N \cdot m\)

  • Foot-pound, \( 1 Lb \cdot foot\)

Power is energy per unit time

  • Watt, \(W = \frac{J}{s}\)

  • Horsepower \(hp = 550 \frac{ft \cdot lbf}{s}\)

../../_images/energy-p1-2.png

Fig. 101 Caption

Example 1:

# computational thinning
import math
q = 0.1 #discharge
v_jet = 50.0
omega = 500*2*math.pi/60
radius = 0.5
rho = 1000.0
power = rho*q*v_jet*radius*omega - rho*q*omega**2*radius**2
print("Power ",round(power,2)," Newton-meters/sec    ")
Power  62360.77  Newton-meters/sec    

Example 2: