PROBLEM 3.114
KNOWN: Wire diameters associated with a thermocouple junction, value of the convection heat
transfer coefficient.
FIND: Minimum wire lengths necessary to ensure the junction temperature is at the gas temperature.
SCHEMATIC:
Thermocouple junc
PROBLEM 7.69
KNOWN: Dimensions and thermal conductivity of a thermocouple well. Temperatures at well tip
and base. Air velocity.
FIND: Air temperature.
SCHEMATIC:
ASSUMPTIONS: (1) Steady-state conditions, (2) Constant properties, (3) One-dimensional
condu
PROBLEM 6.32
KNOWN: Local Nusselt number correlation for flow over a roughened surface.
FIND: Ratio of average heat transfer coefficient to local coefficient.
SCHEMATIC:
ANALYSIS: The local convection coefficient is obtained from the prescribed correlatio
24-322 Heat Transfer, Fall 2016 HW#5
Assigned: October 13, 2016
Due: October 20, 2016 (at the beginning of class)
Textbook problems 7.69, 7.83, 8.6, and 8.12
Numerical Answers
7.69: T_inf = 452.2 K
7.83: L = 0.18 m
8.6:
a)
Liquid
um [m/s]
Water
0.033
Engi
PROBLEM 8.31
KNOWN: Thermal conductivity and inner and outer diameters of plastic pipe. Volumetric flow rate and inlet
and outlet temperatures of air flow through pipe. Convection coefficient and temperature of water.
FIND: Pipe length and fan power requi
24-322 Heat Transfer, Fall 2016 HW#3
Assigned: Sept 15, 2016
Due: September 22, 2016 (at the beginning of class)
A. In this problem you will derive the temperature distribution in a cylindrical solid with
outer radius ro and heat generation q! . The gover
24-311 numerical methods
1
24-311: Numerical Methods
Spring 2017
Homework 1
Due Date: 27 January, 2017, 5 pm on Blackboard.
1. Here are some of the wind tunnel data for force (F) versus velocity
(v)
v (in m/s)
F (in N)
10
25
20
70
30
380
40
550
50
610
60
24-322 Heat Transfer, Fall 2016 HW#6
Assigned: October 20, 2016
Due: October 27, 2016 (at the beginning of class)
8.31: L = 13.7 m, P = 0.077 W
8.55: (a) n/a; (b) Tm,o = 17.7 C, Ts,o = 66.5 C
8.82: (a) n/a; (b) Tm,o = 305.3 K, q = 15700 W
11.1: U = 222 W/
24-311: Numerical Methods
Spring 2017
Homework 1 Solutions
1
Problem 3.a
Question: Derive the Taylor series for f (x) = 1/(1 x) with xi = 0.5 up to
order six.
Solution: Taylor series approximation for the general function f (x) around
xi is written as:
00
clc;
clear all;
close all;
% clears command window
% clears workspace
% closes all figure windows
fprintf('24-311 S17 Assignment 4 Solution \n');
fprintf(' Yourname \n');
fprintf(' February 8, 2017 \n');
%-IMPORTANT NOTES-% 1) In the command window just y
24-322 Heat Transfer, Fall 2016 HW#4
Assigned: October 6, 2016
Due: October 13, 2016 (at the beginning of class)
A. Lumped Capacitance Demonstration
a. Using the raw data posted on Blackboard, plot the temperature history and fitted curve on
the same figu
!
!
!
!
PROBLEM 3.50
KNOWN: Wall thickness and diameter of stainless steel tube. Inner and outer fluid temperatures
and convection coefficients.
FIND: (a) Heat gain per unit length of tube, (b) Effect of adding a 10 mm thick layer of insulation to
outer s
24-322 Heat Transfer, Fall 2016 HW#1
Assigned: Sept 1, 2016
Due: September 8, 2016 (at the beginning of class)
A. Pick one of the following household items: barbecue (gas or charcoal), electrical space
heater, hot water heater. In less than one typed page
24-311 numerical methods
24-311: Numerical Methods
Spring 2017
Homework 4
Due Date: 17 February, 2017, 5 pm on Blackboard.
You may use any of the M-files on Blackboard as starting points.
1. Modify the Newton-Raphson method implemented in Homework
3, to i
24-322 Heat Transfer, Fall 2016 HW#2
Assigned: Sept 8, 2016
Due: September 15, 2016 (at the beginning of class)
A. The Open-ended Question:
Youre spending the summer in Pittsburgh. If the indoor temperature Tin of your
apartment is to be kept constant, ho
24-311 numerical methods
24-311: Numerical Methods
Spring 2017
Homework 1
Due Date: 3 February, 2017, 5 pm on Blackboard.
You may use any of the M-files on Blackboard as starting points. You
may not use the MATLAB functions incsearch or fzero in solving a
PROBLEM 1.16
KNOWN: Dimensions and thermal conductivity of a chip. Power dissipated on one surface.
FIND: Temperature drop across the chip.
SCHEMATIC:
ASSUMPTIONS: (1) Steady-state conditions, (2) Constant properties, (3) Uniform heat
dissipation, (4) Neg
0wmb
24-311 Fall 2014 Test #1
This is a closed book, closed notes test. You may use a calculator.
Problem Max Score Score
1. ([email protected] points each = 25 points total)
(a) For a function f (at), you identify two points :3; and mu such that f (33;) f (55) < 0.
24-311 numerical methods
24-311: Numerical Methods
Spring 2017
Homework 3
Due Date: 10 February, 2017, 5 pm on Blackboard.
You may use any of the M-files on Blackboard as starting points. You
may not use the MATLAB functions incsearch or fzero in solving
clc;
clear all;
close all;
% clears command window
% clears workspace
% closes all figure windows
% -Problem# 2-%
fprintf('\nProblem# 2.:\n');
Time = linspace(0,5,1000);
Velocity_Tesla = tesla_vec(Time)+60; % 60 was subtracted from the tesla_vec.m
file
fi
24-261 Statics
Labeling forces
Resolving 3D forces (completes what is
needed for Problem set 1
Intro to FBDs
Slide 1
Labeling Forces (various practices)
Be clear in your mind which body exerts
the force and which body it acts on
A
finger
B
Forces on ri
Lecture 17
Examples of trusses and connections
Idealizations to analyze trusses
Forces in truss bars
Analyzing trusses
Method of Joints
Slide 1
Examples of Trusses
Cranes
Truss
members:
Long bars
connected
only at
ends
Bridges
We will analyze a truss like
Lecture 10
Pulleys
Known distributed forces
Unknown distributed contact force
Slide 1
Pulley which can spin freely about axle (pin)
How are tensions on two sides of pulley related?
Slide 2
Idealized pulley: massless and frictionless why?
Focus on area
Lecture 4
Door opener mechanism and parts
Connections between parts will demand
we learn to represent interactions more
complex than simple forces you are used
to: weight, normal force, cord, spring
Introduction to moments
Slide 1
Mechanize
Opening of
24-261 Statics
Review key parts of Course Handout
What we learn in Statics/Mechanics
Forces/Interactions
Resolving Forces
Slide 1
24-261 Statics
Much of ME rests on Statics: forces,
motions, deformation/deflection and failure
High Tech (bioengineeri
Lecture 6
Equilibrium of body with non-concurrent
forces
Relative motion at joints
Slide 1
Problem from Exam 2012
Slide 10
Part (i)
WAB = WCD = 1.5 lb, WBC = 1 lb
Find finger forces and cord tension
(Force up or down at D?)
FBD?
T
15
A
B
15 in
Unknowns:
Lecture 16
Energy flow in gears and shafts
including analog with lifting weight
Sprockets Chain Systems
Actuators
Slide 1
Gears and shafts, driven by a motor, at constant speed
www.youtube.com/watch?
v=wkxZMMV7_8M&feature=youtu.be
Briefly review key p
Lecture 23
Belt Friction
Slide 1
Demonstration in class
Towel draped over rod in different ways
What keeps it in equilibrium?
Bungee cord wrapped around rod lifting weight
For given weight, what is tension?
Discover that there is not a unique tension
Sli
Lecture 24
Internal loads
Slide 1
Demonstration in class hand grips long body
Hand supporting stick in different configurations
Think of stick as long and very thin
Think of stick as long and heavy
For different configurations:
Does stick react different