LEARNING MODULE 11
Mixed Heat Transfer
EXAMPLE PROBLEM 2
McCabe Problem 12.1
Glycerin is flowing at the rate of 700 kg/hr through a 30-mm-ID pipe. It enters a
heated section 2.5m long, the walls of which are at a uniform temperature of
115oC. The temperat
LEARNING MODULE 14
CONTROLLING HEAT EXCHANGERS
EXAMPLE PROBLEM 2
For 2 shell, 4 tube pass exchanger, the specification calls for cooling a hot process stream from
TH1 to TH2 using a cooling water utility stream. The goal is to obtain the desired outlet pr
LEARNING MODULE 14
CONTROLLING HEAT EXCHANGERS
EXAMPLE PROBLEM 1
For 1 shell, 2 tube pass exchanger, the specification calls for maintaining the outlet approach
between the process fluid (cold) and utility steam (hot) streams by adjusting the surface area
LEARNING MODULE 13
EXAMPLE PROBLEM 2
Scaling Arguments in Heat Transfer proving it with numbers
For the scenario given in Example Problem 1, assume that for equal flow rates of
hot and cold streams, say 500 m3/hr, the individual heat transfer coefficients
LEARNING MODULE 13
EXAMPLE PROBLEM 3
Choosing Heat Transfer Equipment
Liquid hexane is to be cooled from 250 oF to 120 oF (1 atm pressure) using a
pentane liquid stream available at 80 oF (1 atm pressure). You are asked to specify
the type of heat exchang
LEARNING MODULE 13
EXAMPLE PROBLEM 1
Scaling Arguments in Heat Transfer
McCabe Problem 15.6
In a shell & tube heat exchanger, water is used to cool an aqueous stream. If the
cooling water rate is twice the rate of the process stream, prove whether a highe
LEARNING MODULE 11
Heat Transfer Coefficients
EXAMPLE PROBLEM 1
10,000 lb/hr of liquid n-butane must be heated from -10oF to 20 oF at 1 atm pressure prior to
entering a reactor. The reactor product, liquid iso-butane leaves the reactor at 40oF (because th
LEARNING MODULE 11
Mixed Heat Transfer
EXAMPLE PROBLEM 3
McCabe Problem 13.3
A horizontal shell and tube condenser is to be used to condense saturated ammonia
vapor at 145 psia (T=82oF). The condenser has 19 steel tubes (1.5in OD, 1.3in ID),
14 t long thr
LM 13 Heat Exchangers
Homework Assignment
1.
McCabe 15.1 (Worth 2 Points) Air is blown at a rate of 3 m3/s (measured at 0 C and 1 atm) at right
angles to a tube bank 10 pipes and 10 spaces wide and 10 rows deep. The length of each pipe is 3.5 m.
The tubes
LEARNING MODULE 12
Radiation Heat Transfer
EXAMPLE PROBLEM 1
Radiation Between Two Large Plates
Given two very large rectangular walls at 800oF and 1000oF, respectively within line of sight of
each other. Assuming they are perfect black bodies, how much h
LEARNING MODULE 12
Radiation Heat Transfer
EXAMPLE PROBLEM 2
Radiation from a Pipe
Given:
A pipe with an outer diameter of 3.4 inches, carrying steam having an outside wall
temperature of 125oF is immersed in an infinitely large air space @ 70oF. If the
t
Week 02
Probability Concepts -Review
Probability Concepts - Review
Probability Concepts - Review
Probability Concepts
Review
Multiplication Principle
n2
n1
P
n1
n1
n1
n2
n2
n2
If procedure P can be performed
by n1 ways, and each way is
followed by n2 ways
Homework 02
A metallurgist is designing an experiment to determine the effect of flux,
base metal, and energy input on the hardness of a weld. She wants to study
four different fluxes, two different base metals, and three different amounts
of energy input
Week 03
Propagation of Error - Review
FACT: any measuring procedure contains error!
Majority of scientific work is based on calculated values.
Calculated values are obtained from experimental measured
variables.
Error associated with measured quantities p
Lecture 1-1
Course Introduction
1
Instructors
Dr. Brian Tande
Associate Professor and Chair
Harrington Hall Room 323
Phone: 701-777-2337
Email:brian.tande@engr.und.edu
Dr. Ali Alshami
Assistant Professor
Harrington Hall Room 315
Phone: 701-777-6838
Email:
1
AN ANALYSIS OF THE IMPACT OF POLICY AND OTHER FACTORS ON
CARBON MONOXIDE EMISSIONS
Growing environmental concern throughout the world has ignited a number of
controversial views on how environmental cleaning should be achieved. In the context of
develop
Lecture 1-2
Summary Statistics
Navidi Chapter 1.2
1
Summary Statistics
Sample Mean:
n
1
X Xi
n i 1
Sample Variance:
n
n
2
1
1
2
2
2
s
Xi X
X i nX
n 1 i 1
n 1 i 1
Sample standard deviation is the square root of
the sample variance.
2
Group Problem
A
Lecture 4-2
Probability Plots
Navidi Section 4.5
1
Does your sample come from a
Normal Distribution?
If large number of samples, plot Histogram
Probability plots (discussed next)
If small number, difficult to determine
Samples from Normal distributions
Lecture 6-3
Hypothesis tests for differences between two
means
Navidi Chapter 6
1
Large Sample Tests for the Difference
Between Two Means
Now, we are interested in determining whether or not
the means of two populations are equal.
The data will consist
Lecture 1-3
Graphical Summaries
Navidi Chapter 1.3
1
Graphical Summaries
Stem-and-leaf plot
Dotplot
Histogram
Boxplot
Scatterplot
2
Stem-and-leaf Plot
A simple way to summarize a data set.
Each item in the sample is divided into two
parts: a stem, consi
Lecture 2-3:
Random Variables
Navidi Chapter 2.4
1
Random Variables
Definition: A random variable assigns a
numerical value to each outcome in a sample
space.
Definition: A random variable is discrete if its
possible values form a discrete set.
2
Example
Lecture 5-2
Small Sample Confidence Intervals
Navidi Chapter 5.3
1
Small Sample CIs for a Population
Mean
The methods that we have discussed for a population
mean previously require that the sample size be large.
When the sample size is small, there are
Lecture 2-2:
Counting Methods
Navidi Chapter 2.2
1
Counting Methods
The Fundamental Counting Principle:
Assume that k operations are to be
performed. If there are n1 ways to perform
the first operation, and if for each of these
ways there are n2 ways to p
Lecture 5-4
Confidence Intervals for Paired Data
Navidi Chapter 5.7
1
CI for Paired Data
Consider paired data. An example is tread wear on tires. Suppose there
are two different brands on the front wheel of a car. After the car has
been driven for 20,000,
Lecture 7-3
Power Calculations
Navidi Chapter 6
1
Errors
When conducting a fixed-level test at significance
level , there are two types of errors that can be
made. These are
Type I error: Reject H0 when it is true.
Type II error: Fail to reject H0 when it
Lecture 4-3
Central Limit Theorem
Navidi Section 4.11
1
The Central Limit Thereom
The Central Limit Theorem
Let X1,Xn be a random sample from a population with mean and variance
2 .
2
X ~ N ,
n
So the sample means will be normally distributed if the samp
Lecture 8-3
Linear Regression using Excel,
Minitab
1
Regression in Excel
You can use the trendline function to get the
coefficients and R2
This is not enough!
To do a full regression analysis, you need to
use the regression tool under the Data
Analysis
Lecture 2-1:
Probability Concepts
Navidi Chapter 2.1
1
Basic Ideas
Definition: An experiment is a process that results in
an outcome that cannot be predicted in advance
with certainty.
Examples:
rolling a die
tossing a coin
weighing the contents of a box
Lecture 3-2
Propagation of Error Formulas
Navidi Chapter 3.2-3.4
1
Linear Combinations of Measurements
If X is a measurement and c is a constant, then
cX c X .
If X1, Xn are independent measurements and
c1, , cn are constants, then
c1 X1 . cn X n c12
Lecture 5-3
Confidence Intervals for the
Difference in Two Means
Navidi Chapter 5.4, 5.6
1
CI for the Difference in Two Means
Set-Up:
Let X and Y be independent, with X ~ N(X, X2 )
2
and Y ~ N(Y, Y ). Then
X + Y ~ N(X+Y ,
X - Y ~ N(X-Y ,
X2 ) Y2
X2 ). Y