4. Cross ﬂow over a tube bank, with additional details on the energy balance analysis
ln|emal How cl lluld
myougn me
g ’9 h V, Tm> j:{+ + +} V, T
{+H+H+}
% Row 1 Row 2 Row 3
(a) (b)
Figure 2: Cross ﬂow over tube banks. Left: 3D view; Middle: aligned a
and
8.3
The
(4k/ro) 2ro
NuD hD
8
k
k
5. Internal flow in a circular pipe
A typical example of internal flow is heat transfer (qs00 ) from the hot pipe wall of temperature
Ts to a fluid inside a pipe of diameter D. The flow is assumed to be steady (or sta
1. General description of convection heat transfer and terminology
Convection is a mode of heat transfer occurring between a solid body surface and a moving fluid
due to both fluid flow and thermal diffusion (i.e., conduction) within the fluid, thus the c
Two-Dimensional Steady-state
Conduc5on:
Finite-Dierence Equa5ons
and
Solu5ons
Chapter 4
Sec5ons 4.4 and 4.5
Finite-Dierence Method
The Finite-Difference Method
An approximate method for determining temperatures at discrete
(nodal)
2. Correlations of convection heat transfer for flows over a flat plate
For a laminar flow, the boundary layer equations can be solved analytically by first introducing
a similarity variable then performing numerical integration, to determine the temperat
a Mime. ‘ Wham L Lemcihvi‘mj'
, ﬂ? X=L yizL
.—il
- .7 ._ =L
m .7 .l’g.‘ no Lug-cit ewiah
w— *1 at gap '
oi: QLQWLmLeJ [Wu ham W airframe.)
04 I: “we ’9 {Hq‘ﬂ Shiite aoLﬁP—VUX men‘s-(-
23de am " T‘ at ~t=o w owoSk
Tom) = 3mm 1.] |<3o< 3» 4-1:
Heat Equation
The Differential Equation for Conduction MEEG 342; lecture 3
A differential equation whose solution provides the temperature distribution in a
stationary medium.
Based on applying conservation of energy to a differential control volume
thr
MEEG 342; lecture 2
Example for Convection
!W $
q' # 2 & = h Ts T
"m %
(
)
Table from"Heat and Mass Transfer:
A Practical Approach, 3/e" By Yunus
A. engel
" W %
" W %
h = $ 2 ' or $ 2 '
# m C &
#m K &
1
Q: Does it make any difference if
C or K is used her
Spring 2016 MEEG 342: Heat Transfer
Course Information
Instructor: Dr. Lian-Ping Wang, [email protected]
Office hours Wednesdays 2:30PM to 4:30PM
Lectures MW 1:25PM-2:15PM, Kirkbride 006
Discussions and Case Studies: Gore 208 (10:10 to 11:00) & (11:15 to 12:
Any ques)on with the computer project?
System-level energy-balance analysis
An example, heat transfer through a tube bank
System level energy-balance analysis of internal ow
Radial diffusive transport into the C.V.
h (T
A fully-solved case-study problem:
Finite-difference solution of 1D transient conduction
with heat generation
A computer project, due April 13, 2016
Transient conduction in 2D
Analy&cal solu&on in dimensionless form
Finite-dierence solu&on: formul
Heat Exchangers:
Chapter 11
Sec3ons 11.1 through 11.3
Types
Heat Exchanger Types
Heat exchangers are ubiquitous to energy conversion and utilization. They involve
heat exchange between two fluids separated by a solid and encompass a wide
r
MEEG 342; lecture 4
Chapter 3
One-Dimensional, Steady-State
Conduction without
Thermal Energy Generation
(Radial Systems)
Chapter Three
Sections 3.2 through 3.4
1
Heat Equation (Radial Systems)
MEEG 342; lecture 4
Cylindrical Coordinates:
1 T
kr
r r r
2
Extended Surfaces
Chapter Three
Section 3.6
MEEG 342; lecture 6
Fins Enhance Heat Transfer From a Surface By
Enhancing Surface Area
2
"Heat and Mass Transfer: A Practical Approach, 3/e" By Yunus A. engel
MEEG 342; lecture 6
3
MEEG 342; lecture 6
Steady-st
The close date of the assignment has passed. You can no longer submit an answer.
Title
Homework Set 7
Due
Apr 11, 2016 1:25 pm
Grade Scale Points (max 10.0)
Instructions
Attached
Additional resources for assignment
HW7_2016.pdf ( 1 MB; Mar 31, 2016 11:07
The close date of the assignment has passed. You can no longer submit an answer.
Title
Homework Set 8
Due
Apr 18, 2016 1:25 pm
Grade Scale Points (max 10.0)
Instructions
attached.
Additional resources for assignment
HW8_2016.pdf ( 95 KB; Apr 9, 2016 3:46
The close date of the assignment has passed. You can no longer submit an answer.
Title
Homework Set 6
Due
Apr 4, 2016 1:25 pm
Status
Grade Scale
Not Started
Points (max 10.0)
Modified by instructor Mar 25, 2016 2:01 pm
Instructions
attached
Additional res
The close date of the assignment has passed. You can no longer submit an answer.
Title
Homework Set 5
Due
Mar 14, 2016 1:25 pm
Grade Scale Points (max 10.0)
Instructions
See the attached file.
Additional resources for assignment
HW5_2006.pdf ( 1 MB; Feb 2
Title
Homework Set 4
Due
Mar 9, 2016 1:25 pm
Grade Scale
Points (max 10.0)
Modified by instructor Mar 2, 2016 3:38 pm
Instructions
See attached file.
Additional resources for assignment
HW4_2016.pdf ( 167 KB; Feb 22, 2016 4:04 pm )
Submission
This assignm
Title
Homework Set 3
Due
Feb 29, 2016 1:25 pm
Grade Scale
Points (max 10.0)
Modified by instructor Feb 15, 2016 11:02 pm
Instructions
Attached.
Additional resources for assignment
HWK3_2016.pdf ( 310 KB; Feb 15, 2016 11:02 pm )
Submission
This assignment
The close date of the assignment has passed. You can no longer submit an answer.
Title
Homework set 1
Due
Feb 15, 2016 1:25 pm
Grade Scale
Points (max 10.0)
Modified by instructor Feb 9, 2016 10:41 pm
Instructions
Attached.
Additional resources for assign
The close date of the assignment has passed. You can no longer submit an answer.
Title
Homework Set 2
Due
Feb 22, 2016 1:25 pm
Grade Scale Points (max 10.0)
Instructions
Attached
Additional resources for assignment
HWK2_2016.pdf ( 80 KB; Feb 8, 2016 11:26
MEEG342 Homework Set #9. Heat exchanger analysis
Due Monday, 25 April 2016
P1. Many industrial processes require the rapid cooldown for gases. One method of doing so is
by the use of heat exchangers. Cold water flows in a steel pipe, with hot gases flowin
One-Dimensional, Steady-State
Conduction with
Thermal Energy Generation
Chapter Three
Section 3.5, Appendix C
Implications
MEEG 342; lecture 5
Implications of Energy Generation
Involves a local (volumetric) source of thermal energy due to conversion
from
MEEG 342 Heat Transfer
Spring 2017
Homework 2 Solution
Was due Feb 24th, 2017
1. A composite wall is made up of a very thin cobalt layer, a 200-mm-thick germanium layer and
a 10-mm pure nickel coating layer, from left to right as shown. The cobalt layer i
MEEG 342 Heat Transfer
Spring 2017
Homework 4 Solution
Was due March 10th, 2017
1. Heat is uniformly generated at a rate of 2 105 /3 in a plane wall of thermal conductivity 25 /
and thickness 60 . The wall is exposed to convection on both sides, with diff
MEEG 342 Heat Transfer
Spring 2017
Homework 1 Solution
Was due Feb 17th, 2017
1. The steady-state temperature distribution in a semi-transparent material of constant thermal
conductivity k and thickness L exposed to laser irradiation is of the form
() =
MEEG 342 Heat Transfer
Spring 2017
Homework 3 Solution
Was due March 3rd, 2017
1. Consider one-dimensional conduction in a plane composite wall. The outer surfaces are exposed to a uid
at 25C and a convection heat transfer coefcient of 1000 W/m2K. The mid
MEEG 342 Heat Transfer
Spring 2017
Homework 5 Solution
Was due March 24th, 2017
1. A 2-D conduction medium is discretized, and a portion of the domain near a boundary is shown below.
There is heat generation at a volumetric rate of 1 kW/m3 in the conducti