Chemical Engineering 150A
Spring Semester, 2009
Homework 10: Turbulence & Intro to Heat Transfer
Problem 1
Water flows through a 150 mm diameter diameter pipe with an average velocity of 0.4 m/s.
Assuming that the velocity profile in turbulent flow is wel
Midterm 1 Review Problem 1)
Over a century ago, waterclocks were often used to tell time on cloudy days when sundials
were useless. A waterclock consists of a box which holds a certain amount of water that
would drain in one hour. Shown below is a wate
#1. From declassified pictures of an atomic blast, Geoffrey Taylor was able to predict the
energy, E, of the atomic bomb solely from measurements of the radii of the blast, r, at a
particular time, t, after the blast and knowing the ambient air density, ,
Review Session Problem 1) A Newtonian fluid flows
upwards in a pipe, then meets a solid cylinder concentric
with the pipe rotating with angular velocity, Ω. The surfaces
of the conical shell and cone are described by the equations
on the diagram.
a
NAME _
CHEMICAL ENGINEERING 150A
Final Examination
NOTES:
You may indicate on the equation sheets from chapter 7 what terms you are
neglecting (that is, you do not need to copy the complete equations and then
cross out terms, but may indicate the terms yo
Chemical Engineering 150A
Spring Semester, 2009
Homework 13: Convection
Problem 1
Forced air at T = 25 C and V = 10 m/s is used to cool electronic elements on a circuit board.
One such element is a chip, 4 mm by 4mm, located 120 mm from the leading edge o
Chemical Engineering 150A
Spring Semester, 2009
Homework 12: Steady and Transient Conduction Problems
Problem 1
Consider an electrical wire with radius R and electrical conductivity ke ohm-1cm-1. An electric
current with current density I amp/cm2 flows th
Chemical Engineering 150A
Spring Semester, 2009
Homework 10: Heat Transfer, Conservation of Energy, 1D problems
Problem 1
Consider heat transfer in half a solid cylindrical shell as indicated in the figure.
a) Starting with equation 16-13 in WWWR (see han
Chemical Engineering 150A
Spring Semester, 2009
Boundary Layer Practice Problems
Problem 1
Problem 15.2 in Process Fluid Mechanics.
Problem 2
In class, we discussed the laminar boundary layer for flow over a flat plate. There is a transition to
turbulence
Chemical Engineering 150A
Spring Semester, 2009
Homework 8: Microscopic Balances
Problem 1
Problem 9.1 in Process Fluid Mechanics
Jet of
fluid A
Problem 2
A jet of fluid A is cooled by passing it through a bath of a
second fluid whose temperature is exter
Chemical Engineering 150A
Spring Semester, 2009
Homework 7: Microscopic Balances
Problem 1
A polymeric liquid is coated onto a surface by flowing the liquid down an inclined plate
making an angle with the vertical. Assume that the polymeric liquid behaves
Chemical Engineering 150A
Spring Semester, 2009
Homework 6: Microscopic Balances
Problem 1
Derive the continuity equation in cylindrical coordinates by considering the flow of fluid in
and out of the control volume shown below.
Problem 2
The velocity comp
Chemical Engineering 150A
Spring Semester, 2009
Homework 5: Macroscopic Balances, Open Channels, and Compressible Flows
Problem 1
Water flow in open channels can be controlled and measured by a sluice gate, shown
schematically in the figure below. At a mo
Chemical Engineering 150A
Spring Semester, 2009
Homework 4: Macroscopic Balances in Incompressible Fluids
Problem 1
(a) Consider a rectangular duct as shown in the figure below. If the velocity profile (in terms of the
coordinates as shown) is given by
"
Chemical Engineering 150A
Spring Semester, 2009
Homework 3: Flow Past Submerged Objects, Macroscopic Balances
Problem 1
Use Excel or a similar plotting program and the equations we have used in class (from the text by
Denn) to describe the Cd vs Re data,
Chemical Engineering 150A
Spring Semester, 2009
Homework 2: Dimensional Analysis and Pipe Flow
Problem 1
The power output of a hydraulic turbine depends on the diameter D of the turbine, the
density of water, the height H of water surface above the turbin
Chemical Engineering 150A
Spring Semester, 2009
Homework 1: Hydrostatics and Dimensional Homogeneity
Problem 1
The pressure difference, p, across a partial blockage in an artery (called a stenosis) is
approximated by the equation:
$A
'2
"V
0
!p = Kv
+ Ku