Module 5
Similarity Solutions to the Forced Laminar Boundary Layers-I
Professor S.M. Ghiaasiaan
ME 6302
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
Module 5 Laminar Boundary Layers 2
Laminar bound
Module 67a
Module
1
Similarityy Solutions to the
Forced Laminar
Boundary Layers-IIa
ME 630
02
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
Atlanta GA 30332-0405
Atlanta,
30332 0405
Professor S.M.
ME 6302
Spring, 2016
HW Set # 1
Due: January 28, 2016
PROBLEM 1
a) Prove that in Cartesian coordinates the mechanical energy equation can be shown as:
xx yx zx xy yy zy
D 1 2 2
2
+
+
=
+
+
+
+
u
v
w
u
)
(
+ v
z
Dt 2
x
y
z
x
y
w xz + yz + zz +
Problem 1.zzz. Consider the flow of an incompressible and constant property fluid mast a rectangular
object shown in the figure. The flow field is assumed to be 2D, and steady.
a) Write the complete mass, momentum, and energy conservation equations, as we
AME 60634
Int. Heat Trans.
Internal Convection: Fully Developed Flow
Laminar Flow in Circular Tube: Analytical
local Nusselt number is constant in fully develop region
depends on surface thermal condition
constant heat flux NuD =
hD
= 4.36
k
ME 6302
Spring, 2016
HW Set # 2
Due: February 11, 2016
PROBLEM 1
Problem 3.AHW3_16. Consider the steady-state flow of an incompressible and constant-property fluid
parallel to a flat plate. The fluid has a negligibly small viscosity.
a) Do you expect the
ME 6302
Spring, 2016
HW Set # 2
Due: February 11, 2016
PROBLEM 1
Problem 3.AHW3_16. Consider the steady-state flow of an incompressible and constant-property fluid
parallel to a flat plate. The fluid has a negligibly small viscosity.
a) Do you expect the
ME 6302
Spring, 2016
HW Set # 3
Due: February 25, 2016
PROBLEM 1
Problem 4.19. Atmospheric air at a temperature of 300 K flows through a short
pipe segment. The diameter of the pipe segment is 5 cm , and its length is 2.5 cm .
The air mean velocity is 0.0
ME 6302
Spring, 2016
HW Set # 1
Due: January 28, 2016
PROBLEM 1
a) Prove that in Cartesian coordinates the mechanical energy equation can be shown as:
xx yx zx xy yy zy
D 1 2 2
2
+
+
=
+
+
+
+
u
v
w
u
)
(
+ v
z
Dt 2
x
y
z
x
y
w xz + yz + zz +
Module56
Module
Similarity Solutions
to the Forced
Laminar Boundary
Layers-I
ME 6302
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
Atlanta, GA 30332-0405
Professor S.M.
Ghiaasiaan
Module56
Module
Module 67b
Module
1
Similarity Solutions to the
Forced Laminar
Boundary Layers-IIb
ME 6302
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
Atlanta, GA 30332-0405
Professor S.M.
Ghiaasiaan
Module 67b
Tutorial
Module A.1
3
1
Tutorial A.1
Professor S.M. Ghiaasiaan
ME 6302
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
Atlanta, GA 30332-0405
Professor S.M.
Ghiaasiaan
Tutorial
Module A.1
3
Boundary Layers: Problem A
2
Prob
Module34
Module
1
Boundary Layers I
Professor S.M. Ghiaasiaan
ME 6302
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
Atlanta, GA 30332-0405
Professor S.M.
Ghiaasiaan
Module34
Module
Boundary Layers
2
ME 6302
To calculate w
1
ERRATA IN INTRODUCTION TO CONVECTIVE
HEAT TRANSFER ANALYSIS
Page 3 - In Fig. 1.4, equation should be
qw = k
T
|n=0
y
Page 23 - 4th line above Fig. 1.19 should read: i.e., equal mV
, i.e., equal to V dAV , .
Page 24 - Equation near the top of the page s
Module
Module45
1
Boundary Layers II
Professor S.M. Ghiaasiaan
ME 6302
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
Atlanta, GA 30332-0405
Professor S.M.
Ghiaasiaan
Module
Module45
Order-of-Magnitude of Laminar Thermal Bo
Module23
Module
Conservation Equations II
Professor S.M. Ghiaasiaan
ME 6302
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
Atlanta, GA 30332-0405
Professor S.M.
Ghiaasiaan
Module23
2
Module
Conservation of Energy
First law
Module 78a
Module
Similarity Solutions - IIIa
1
Similarity Solutions to the
Forced Laminar Boundary
Layers-IIIa
ME 6302
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
Atlanta, GA 30332-0405
Profess
Module78
Module
1
Similarity Solutions - III
Similarity Solutions to the
Forced Laminar Boundary
Layers-IIIb
ME 6302
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
Atlanta, GA 30332-0405
Professor
ME 6302: Convection Heat
Transfer
INTRODUCTION
ME 6302: CONVECTION HEAT
TRANSFER
Spring, 2016
Professor S. Mostafa Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering
Georgia Institute of Technology
[email protected]
Professor S.M.
Ghiaasiaan
M
ME 6302
Spring, 2016
HW Set # 4
Due: March 29 , 2016
PROBLEM 1
Problem 7.3. Water at room temperature flows through a smooth pipe with an inner diameter of 10
cm. The flow is fully developed, and Re=
1.5 105 .
D
a) Calculate the eddy diffusivity, and shea
ME 6302
Spring, 2017
HW Set # 1
Due: September 31, 2017
Note: For these problems, and elsewhere, unless otherwise stated, you can start your analysis from any
equation in the textbook or modules. There is no need to derive any equation from scratch.
PROBL
Module 13
Integral Method-I
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
ME 6302
Module 13 Integral Method 2
ME 6302
The integral method is a simple and powerful technique
Module 12 1
Internal Laminar Flow-IV
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
ME 6302
Module 12 Hydro dynamically-Fully Developed Flow, Thermal Entrance; Constant Wall
Module 11 1
Internal Laminar Flow-III
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
ME 6302
Module 11 Hydro dynamically-Fully Developed Response to Arbitrary Axial Wall Temp
Module 10 1
Internal Laminar Flow-II
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
ME 6302
Module 10 Analytical Solution for Heat Transfer in Circular Tubes
2
Hydro dynamic
Module 9 1
Internal Laminar Flow-I
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
ME 6302
Module 9 Topics 2
Laminar flow in flow channels and passages are discussed, with em
Module 8 Similarity Solutions IV 1
Similarity Solutions to the Forced Laminar Boundary Layers-IV
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
ME 6302
Module 8
Incompressibl
Module 7 1
Similarity Solutions to the Forced Laminar Boundary Layers-III
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
ME 6302
Module 7
Incompressible, Steady-State, 2-D Fl
Module 6 1
Similarity Solutions to the Forced Laminar Boundary Layers-II
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
ME 6302
Module 6 Incompressible, Steady-State, 2-D Flo
Module 14
Integral Method-II
Professor S.M. Ghiaasiaan
G.W. Woodruff School of Mechanical Engineering Georgia Institute of Technology Atlanta, GA 30332-0405
ME 6302
Module 14 Example: Turbulent, 2-D Incompressible, ConstantProperty Flow Over a Flat Plate