PROBLEM 1.1 KNOWN: Heat rate, q, through one-dimensional wall of area A, thickness L, thermal
conductivity k and inner temperature, T1. FIND: The outer temperature of the wall, T2. SCHEMATIC:
ASSUMPTIONS: (1) One-dimensional conduction in the x-dire
NCSU
MAE310
HOMEWORK #3
Provide a clear concise solution for each of the following steady, one-dimensional planar conductive heat transfer problems. Assume that there is no energy generation with constant properties. 1. A composite wall separates
NCSU
MAE310
HOMEWORK #12
Provide a clear concise solution for the proceeding convective heat transfer problems. 1. To enhance heat transfer from a silicon chip of width W=4 mm on a side, a copper pin fin is brazed to the surface of the chip. The p
M EM ORANDUM _ _
To:
Dr. Peter Corson
From: Group #1
Harold ABC (Lead) Reid D William E Britt F
Date: October 14th, 2008 Subj: Phase #1 Report, Component Cooling Water Heat Exchanger Replacement Purpose:
Phase #1 of the CCW HX replacement is complete. The
Extended Surfaces
Chapter Three Section 3.6
Nature and Rationale
Nature and Rationale of Extended Surfaces
An extended surface (also know as a combined conduction-convection system or a fin) is a solid within which heat transfer by conduction is a
One-Dimensional, Steady-State Conduction with Thermal Energy Generation
Chapter Three Section 3.5, Appendix C
Implications
Implications of Energy Generation
Involves a local (volumetric) source of thermal energy due to conversion from another for
One-Dimensional, Steady-State Conduction without Thermal Energy Generation
Chapter Three Sections 3.1 through 3.4
Methodology
Methodology of a Conduction Analysis
Specify appropriate form of the heat equation. Solve for the temperature distribution
Fouriers Law and the Heat Equation
Chapter Two
Fouriers Law
Fouriers Law
A rate equation that allows determination of the conduction heat flux from knowledge of the temperature distribution in a medium Its most general (vector) form for multidime
Conservation of Energy
Chapter One Section 1.3
Alternative Formulations
CONSERVATION OF ENERGY (FIRST LAW OF THERMODYNAMICS)
An important tool in heat transfer analysis, often providing the basis for determining the temperature of a system. Alte
Heat Transfer: Physical Origins and Rate Equations
Chapter One Sections 1.1 and 1.2
Heat Transfer and Thermal Energy
What is heat transfer?
Heat transfer is thermal energy in transit due to a temperature difference.
What is thermal energy?
Thermal
Problem 1: (15 point
le
I NDOF System: Free Vibration /(00
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Page 2 of 7
Two cylinders of mass m] and m;, and the same
radius R, are censtrained to the wall by linear
springs In and k3.
1.
A composite wall separates combustion gases at 2600C from a liquid coolant at 100C, with gas- and liquid-side convection coefficients of 50 and 1000 W/m2K. The wall is composed of a layer of beryllium oxide on the gas side 10 mm thick and a slab
NCSU-MAE310
08/26/04
TEST NOTES FOR CONDUCTIVE HEAT TRANSFER
Definitions E q q"=q/A q'=q/L q =k/( c) = / Rate Equations Conservation of Energy: Fourier's Law: Newton's Law of Cooling: Thermal Resistances Convection: Planar Conduction: Radial Cylind
1.
A long V groove 10 mm deep is machined on a block that is maintained at 1000 K.
20°
10 mm
The groove surfaces are diffusegray with an emissivity of 0.6.
(a) Determine the radiant flux leaving the groove to its surroundings.
(b) The effective emissivi
1.
A long V groove 10 mm deep is machined on a block that is maintained at 1000 K.
20°
10 mm
The groove surfaces are diffusegray with an emissivity of 0.6.
(a) Determine the radiant flux leaving the groove to its surroundings.
(b) The effective emissivi
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MAE 310 Testl
i Answers:
Problem 1 _ l
/ Problem 4.2 i/
Problem 2 Q Problem 4.3 _Cj_ /
Problem 3.1 _B_/7 Problem 5.1 3
Problem 3.2 ' ' ' Problem 5.2 _(l_
Problem 3.3 I: 7 Problem 6.1 i/
Problem 3.4 _6:(_ 7 Problem 6.2 i (/
J IMPORTANT: Choose none of th
/ MAE 310 Testl
Answers:
Probleml D /
Problem 2 ii
Problem 3.1 G _I?
Problem 3.2
Problem 3.3 :/
Problem 3.4 C:-/
Problem 3.5 /
Problem 3.6
Name: Cal V'UL v of a;
Problem 4.1
Problem 4.2
Problem 4.3
Problem 5
Problem 6.1
Problem 6.2
_A_/
,_c_/
/
Hl/
T\
.31. Test2 Name: - )
Problem 1.1
/ Problem 4 J;
/
Problem 1.2
I' Problem 2.1 H / Problem 5.1 C \/
Problem 2.2 E /
Problem 3.1 3/ 7 Problem 5.3 ?
C /
Problem 5.2 D
Problem 3.2
Please note that the last page of this handout contains a Table that gives
MAE 310 Test 1
IMPORTANT: Choose none of these answer ONLY if your answer is at least 5% off the
numerical answer indicated in (a), (b), (c), etc. If you are within 5% of the numerical answer,
choose the closest numerical answer.
Answers:
\/Problem l
/I
r
1/) MAE310 Test] Name Yawn) KW
Answers:
Problem 1 Q/ Problem 4.1 1/
Problem 4.2 1/
Problem 4.3 i/
Problem 4.4 i/
Problem 4.5 _P_:/
Problem 4.6 A
7
Problem 2.1 _v\_f Problem 5-1 d 7
_ Problem 22 _:/ Problem 5.2 i 7
Problem 2.3 L? 01V FWMVlIA SLQE'IL
Proble
Problem 2.1
Problem 2.2 /
@ /
Problem 2.3 /
Problem 2.4 Q
I Problem31 cfw_; /
Problem 3.2
, WW mph MORTANT: Choose none of these answer ONLY if your answer is at least 5% off the
numerical answer indicated in (a), (b), (c), etc. If you are within 5% of th
MAE 310 Test 2
Answers: / /
Problem 1.1 / Problem 4.1 % /
Problem 1.2 E Problem 4.2 E
Problem 2.1 A / Problem 5.1
Problem 2.2 I
Problem 5.2 g
Problem 3.1 D k
/ 1.
Problem3.2 L
P bl 33 - / ' WWW
ro em . L/ -5 Wer we
:/
Problem 3.4 C,
Problem 3.5 E- /
Probl
N0 slip
Be! crank iever.
mass moment of
inertia J0
Problem: (30 points)
Sphere, mass m,
Consider a bell crank assembly. A sphere of mass
m s and radius rs is connected to a linear spring kg
and the upper part of the crank lever. A mass m is
connecte
gmo
Eguiualent System
Problem: (30 points)
Sphere, mass In,
Consider a bell crank assembly. A sphere of mass
m, and radius r; is connected to a linear spring kg
and the upper part of the crank lever. A mass m is
connected to a linear Spring k] and the
W70
Consider the rocker arm assembly. Masses m1, m2 and m
are connected to linear springs 1:], kg and k3. They are also
connected to an arm with mass moment of inertia about
point 0, J0. The arm is attached to a torsion spring kt at
point 0
Eguivaient S
Ill - SDOF System Forced Vibration
Problem 1: (20 points) _
A uniform bar of mass m is pivoted at point 0
andsnpportedbythreespngs. Madistance a
awayumthepivotpoint 0, amassMis
attached. End P of spring Pg 13 subjected to a
sinusoi
. .-.-TI(IrI.4"
7 4 A00
Eguivalent System
Problem: (30 points) '
[:1an it 39 _
Msflm '610'
Consider the rocker arm assembly. A sphere of mass m.
and radius r1 is connected to a linear Spring in and the upper
part of the lever. Two masses m2 and m are