Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids

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SIMILARITY SOLUTIONS FOR THE BOUNDARY LAYER FLOW AND HEAT TRANSFER OF VISCOUS FLUIDS, NANOFLUIDS, POROUS MEDIA, AND MICROPO ...
SIMILARITY SOLUTIONS FOR THE BOUNDARY LAYER FLOW AND HEAT TRANSFER OF VISCOUS FLUIDS, NANOFLUIDS, POROUS MEDIA, AND MICROPO ...
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Contents
Preface
1 - Basic equations and mathematical methods
1.1 Basic equations
1.1.1 Viscous fluids and heat transfer
1.1.2 Porous medium
1.1.3 Nanofluids
1.1.4 Micropolar fluids
1.2 Similarity solutions
1.3 Some numerical methods
1.3.1 Matlab program bvp4c
1.3.2 Keller-Box method
1.3.3 Runge–Kutta method
1.4 Analytical solution methods
Nomenclature
Greek letters
Subscript
References
2 - Viscous fluids
2.1 Unsteady mixed convection flow at a three-dimensional stagnation point
2.1.1 Introduction
2.1.2 Governing equations
2.1.3 Solution
2.1.4 Steady-state solution
2.1.5 Stability analysis
2.1.6 Comments
2.2 Mixed convection boundary layer flow near the stagnation point on a vertical surface with slip
2.2.1 Introduction
2.2.2 Problem formulation
2.2.3 Comments
2.3 Mixed convection nonaxisymmetric Homann stagnation-point flow
2.3.1 Introduction
2.3.2 Basic equations
2.3.3 Solution
2.3.4 Comments
Nomenclature
Greek letters
Subscript
Superscript
References
3 - Stretching/shrinking sheets near a stagnation-point flow in viscous fluids
3.1 Introduction
3.2 Unsteady separated stagnation-point flow toward stretching/shrinking sheet
3.2.1 Introduction
3.2.2 Problem formulation
3.2.3 Similarity transformation
3.2.4 Comments
3.3 Axisymmetric rotational stagnation-point flow over a permeable stretching/shrinking rotating disk
3.3.1 Introduction
3.3.2 Problem formulation
3.3.3 Comments (impermeable surface, S=0)
3.3.3.1 S=0, α=0, λ=0
3.3.3.2 S=0, α=0, λ∈R
3.3.3.3 S=0, α﹥0, λ ∈ R
3.3.3.4 Solution for λ large
3.3.3.5 Solution for α large
3.3.4 Comments (permeable surface, S ≠ 0)
3.3.4.1 S﹥0, α﹥0, λ∈R
3.3.4.2 Solution for large S (strong fluid suction)
3.3.4.3 S < 0, α ﹥ 0, λ∈R
3.3.4.4 S∈R, α﹥0, λ﹥0
3.3.4.5 S∈R, α﹥0, λ<0
3.3.4.6 Solution for large |S| (strong fluid injection)
3.3.5 Comments (stability analysis)
3.4 Magnetohydrodynamic oblique stagnation-point flow toward a stretching/shrinking surface
3.4.1 Introduction
3.4.2 Problem formulation
3.4.3 Similarity transformation
3.4.4 Comments (numerical solutions)
3.4.5 Comments (asymptotic solutions)
3.4.5.1 Lower branch solutions as λ → –(1+ M), M=0
3.4.5.2 Solution for large M, λ ≠ 1
3.4.5.3 Solution for large λ
Nomenclature
Roman letters
Greek symbols
Subscripts
References
4 - Nanofluids
4.1 Forced convection boundary layer flow past nonisothermal thin needles in nanofluids
4.1.1 Introduction
4.1.2 Basic equations
4.1.3 Results and discussion
4.2 Axisymmetric mixed convection boundary layer flow past a vertical cylinder in a nanofluid
4.2.1 Introduction
4.2.2 Basic equations
4.2.3 Results and discussion
4.3 Blasius and Sakiadis problems in nanofluids
4.3.1 Introduction
4.3.2 Basic equations
4.3.3 Comments
Nomenclature
Greek letters
Subscript
Superscript
References
5 - Stretching/shrinking sheets in nanofluids and hybrid nanofluids
5.1 Flow and heat transfer over an unsteady shrinking sheet with suction in a nanofluid using Buongiorno's model
5.1.1 Introduction
5.1.2 Basis equations
5.1.3 Comments
5.2 Axisymmetric rotational stagnation-point flow impinging radially a permeable stretching/shrinking surface in a nanofluid
5.2.1 Introduction
5.2.2 Basic equations
5.2.3 Steady-state case
5.2.4 Stability analysis
5.2.5 Comments
5.3 Flow and heat transfer over a permeable biaxial stretching/shrinking sheet in a nanofluid
5.3.1 Introduction
5.3.2 Basic equations
5.3.3 Solution for the steady-state case (∂/∂t=0)
5.3.4 Flow stability
5.3.5 Comments
5.4 Numerical solutions of nonalignment stagnation-point flow and heat transfer of a nanofluid over a stretching/shrinking surf ...
5.4.1 Introduction
5.4.2 Mathematical mode
5.4.3 Comments
5.5 Flow and heat transfer along a permeable stretching/shrinking curved surface in a hybrid nanofluid
5.5.1 Introduction
5.5.2 Basic equations
5.5.3 Solution
5.5.4 Stability analysis
5.5.5 Comments
5.6 MHD flow and heat transfer over a permeable stretching/shrinking sheet in a hybrid nanofluid with a convective boundary con ...
5.6.1 Basic equations
5.6.2 Exact analytical solutions
5.6.2.1 Exact solution of the dimensionless stream function f(η)
5.6.2.2 Exact solution of the dimensionless temperature θ(η)
5.6.2.3 Conditions to get the flow and temperature solutions (case of the stretching sheet, ε﹥0)
5.6.3 Comments
Nomenclature
Greek letters
Subscript
Superscript
References
6 - Mixed convection flow in porous medium
6.1 Introduction
6.2 Mixed convection boundary layer flow on a vertical surface in a saturated porous medium
6.2.1 Problem formulation
6.2.2 Comments
6.3 Steady mixed convection flow over a permeable vertical thin cylinder in a porous medium
6.3.1 Basic equations
6.3.2 Similarity transformations
6.3.3 Exact solution
6.3.4 Comments
6.4 Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids
6.4.1 Introduction
6.4.2 Basic equations
6.4.3 Comments
6.5 Mixed convection boundary layer flow along a vertical cylinder embedded in a porous medium filled by a nanofluid
6.5.1 Basic equations
6.5.2 Comments
6.5.3 A special exact solution
6.6 Mixed convection boundary layer flow over a vertical plate embedded in a porous medium filled with a suspension of nano-enc ...
6.6.1 Mathematical model
6.6.2 Comments
Nomenclature
Greek letters
Subscript
Superscript
References
7 - Convective flows with internal heat generation in porous media
7.1 Introduction
7.2 Flows with temperature dependent heat generation
7.3 Flows with spatially dependent heat generation
7.4 Concluding remarks
Nomenclature
Greek symbols
References
8 - Micropolar fluids over the moving surface
8.1 Introduction
8.2 Mixed convection flow of a micropolar fluid near a stagnation-point flow over a stretching surface
8.2.1 Problem formulation
8.2.2 Similarity transformation
8.2.3 Comments
8.3 Oblique stagnation-slip flow of a micropolar fluid toward a stretching/shrinking surface
8.3.1 Problem formulation
8.3.2 Similarity transformation
8.3.3 Stability analysis
8.3.4 Comments (orthogonal stagnation-point flow)
8.3.5 Comments (oblique stagnation-point flow)
8.4 Moving wedge and flat plate in a micropolar fluid
8.4.1 Introduction
8.4.2 Basic equations
8.4.3 Similarity transformation
8.4.4 Flat plate problem
8.4.5 Wedge problem
8.4.6 Comments
Nomenclature
Roman letter
Greek symbols
Subscripts
References
9 - Jets
9.1 Introduction
9.2 Wall jet
9.2.1 Problem formulation
9.2.2 Permeable wall jet
9.2.3 Existence of the solutions
9.3 Jet profile solutions of the Falkner–Skan equation
9.3.1 Introduction
9.3.2 Basic equations
9.4 Numerical modeling of Glauert type exponentially decaying wall jet flows of nanofluids using Tiwari and Das' nanofluid model
9.4.1 Introduction
9.4.2 Basic equations
9.4.3 Comments
Nomenclature
Greek letters
Subscripts
Superscripts
References
Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
R
S
T
U
V
W
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