Asymptotic theory of supersonic viscous gas flows:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier Butterworth-Heinemann
2008
|
| Edition: | 1. ed. |
| Series: | Elsevier aerospace engineering series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 509-526) and index |
| Physical Description: | xxv, 536 p. ill. |
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| 245 | 1 | 0 | |a Asymptotic theory of supersonic viscous gas flows |c V. Ya. Neiland ... [et al.] |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier Butterworth-Heinemann |c 2008 | |
| 300 | |a xxv, 536 p. |b ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Elsevier aerospace engineering series | |
| 500 | |a Includes bibliographical references (p. 509-526) and index | ||
| 650 | 4 | |a Aerodynamics, Supersonic | |
| 650 | 4 | |a Viscous flow | |
| 650 | 4 | |a Navier-Stokes equations / Asymptotic theory | |
| 650 | 4 | |a Aerodynamics, Supersonic | |
| 650 | 4 | |a Navier-Stokes equations |x Asymptotic theory | |
| 650 | 4 | |a Viscous flow | |
| 650 | 0 | 7 | |a Überschallströmung |0 (DE-588)4186626-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gasströmung |0 (DE-588)4156052-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Viskose Strömung |0 (DE-588)4226965-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Gasströmung |0 (DE-588)4156052-8 |D s |
| 689 | 0 | 1 | |a Viskose Strömung |0 (DE-588)4226965-9 |D s |
| 689 | 0 | 2 | |a Überschallströmung |0 (DE-588)4186626-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Neiland, V. Ya. |e Sonstige |4 oth | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016681553&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-016681553 | |
Record in the Search Index
| _version_ | 1812898715696889856 |
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| adam_text |
Contents
Preface
xv
Chapter
1
Flow in the Regions of Free Interaction Between a
Supersonic Flow and a Boundary Layer
1
1.1
Derivation of the equations and boundary conditions
2
1.1.1
Estimates of the scales and characteristic values of the functions in
disturbed flow regions
2
1.1.2
Asymptotic representations, equations, and boundary conditions
4
1.2
Flow near the separation point of the laminar boundary layer in a
supersonic flow
9
1.2.1
Formulation of the problem and similarity law
9
1.2.2
Asymptotic behavior of the solution at minus infinity and
results of the numerical solution of the problem
11
1.2.3
Results of calculations and comparison with experimental data
11
1.2.4
Note on the nature of upstream disturbance propagation in the
interaction between the boundary layer and the outer flow
15
1.3
Separation far from the leading edge
18
1.4
Separation from a leading edge
22
Chapter
2
Other Types of Flows Described by Free Interaction Theory
25
2.1
Laminar boundary layer separation in a supersonic flow under conditions of
low skin friction
25
2.1.1
Formulation of the problem. Estimation of the scales and
characteristic values of the flow functions in the wall region
25
2.1.2
Equations and boundary conditions
27
2.1.3
Solution of the linear boundary value problem
30
2.2
Expansion flow
33
2.2.1
Asymptotic behavior of the solution, as
ξ
-> 0
and
ξ
-»·
oo
34
2.2.2
Results of calculations
35
2.3
Other types of flows described by free interaction equations
37
2.3.1
Equations and boundary conditions for the case of a curvilinear
body contour
39
2.3.2
Flow inside a corner somewhat smaller than
π
and region of
weak shock incidence on a boundary layer
40
viii Contents
2.3.3
Formulation
of other problems for flows with free interaction
42
2.3.4
Integration of the equations
44
2.4
Elimination of boundary layer separation by means of slot suction
45
2.4.1
Formulation of the problem
46
2.4.2
Derivation of the equations and boundary conditions for regions
1
and
2 48
2.4.3
Solutions for nonlinear inviscid flow regions for Ax
»
ε
52
2.4.4
Solutions for finite-length flaps and bodies with a bend in the contour
fori
»6»
»ε1/2
55
2.4.5
Flow past a flap deflected by an angle
ö~£1/2 56
2.4.6
Flow patterns in the laminar boundary layer for finite flap
deflection angles
57
Chapter
3
Viscous Gas Flows in Regions with Developed Locally
Inviscid Zones and High Local Pressure Gradients
61
3.1
Formulation of the problem of the expansion flow near a corner point on a
body in supersonic flow
61
3.1.1
Asymptotic expansions
63
3.1.2
Upstream disturbance decay
66
3.1.3
Boundary conditions for the viscous sublayer
32 68
3.1.4
Bringing the equations for region
33
into the standard form
70
3.1.5
Solution of the problem in the region of locally inviscid flow
22 71
3.2
Flow ahead of the base section of a body
75
3.2.1
Formulation of the problem and characteristic flow regions
75
3.2.2
Solution of the problem and comparison with experimental data
76
3.3
Reattachment of a supersonic flow to the body surface
77
3.3.1
Formulation of the problem and main flow regions
79
3.3.2
Nature of the locally inviscid flow in region
22 80
3.3.3
Solution for the problem of the locally inviscid flow in region
22 82
3.3.4
Viscous flow regions
86
3.3.5
Solution for the region with maximum friction and heat flux values
93
3.3.6
Discussion of the Chapman-Korst criterion
95
3.4
Problems with discontinuous boundary conditions describing laminar
high-Reynolds-number flows
101
3.4.1
Structure of disturbed flow regions
102
3.4.2
Analysis of the regimes described by free interaction theory
107
3.4.3
Boundary value problem for the case
εΙ/4
«;
uw
<šC
1
in the
vicinity of the point of the beginning of the motion of the
surface (steady case)
109
3.4.4
Numerical solution of the problem
111
3.4.5
Analysis of nonlinear time-dependent flow patterns
113
3.4.6
Examples of numerical solutions of nonlinear time-dependent
problems
116
Contents ix
3.5
Structure
of chemically nonequilibrium flows at jumpwise variation
of the temperature and catalytic properties of the surface
120
3.5.1
Formulation of the problem
121
3.5.2
Parameter scales, equations, and boundary conditions
123
3.5.3
Analysis of the flow in region IV near the point of jumpwise
variation of the temperature and catalytic properties of the
surface
129
3.5.4
Results of numerical calculations
132
Chapter
4
Flows Under Conditions of the Interaction Between the Boundary
Layer and the Outer Flow Along the Entire Body Length
137
4.1
Regime of weak interaction with the outer flow
137
4.2
Moderate and strong interactions in a hypersonic flow
142
4.2.1
Flow nature in the locations of rapid variation of the boundary
conditions
142
4.2.2
Equations and boundary conditions for the flat-plate flows in
the presence of moderate and strong interactions
144
4.2.3
Study of the nature of the nonuniqueness of the boundary
value problem
147
4.2.4
Results of calculations and comparison of the similarity law
with the experimental data
152
4.3
Theory of hypersonic flow/boundary layer interaction for
two-dimensional separated flows
157
4.3.1
Formulation of the problem, equations, and boundary conditions
157
4.3.2
Similarity criteria
162
4.4
Propagation of disturbances at strong distributed gas injection through
the body surface to a supersonic flow
163
4.4.1
Formulation of the problem and derivation of the equations
163
4.4.2
Analysis of the solutions for region
1 165
4.4.3
Flow near the base section
167
4.4.4
Concluding remarks
170
4.4.5
Integration of Eqs.
(4.36) 172
4.5
Detachment of a laminar boundary-layer
173
4.5.1
Formulation of the problem, equations, and boundary conditions
174
4.5.2
Results of the solution
177
4.6
Gas injection into a hypersonic flow
179
4.6.1
Formulation of the problem
179
4.6.2
Equations and boundary conditions
179
4.6.3
Self-similar solutions
182
4.6.4
Analysis of the
N — 0(1)
regime
186
4.6.5
Dependence of the solution on the base pressure difference
188
4.6.6
Base pressure difference effect on the flow past an impermeable
surface
190
Contents
4.7 Gas
injection
into a hypersonic flow
(moderate
injection)
190
4.7.1
Formulation of the problem and boundary conditions
192
4.7.2
Results of the solution
194
Chapter
5
Three-Dimensional Hypersonic Viscous Flows
199
5.1
Viscous flow over a low-aspect-ratio wing in the weak interaction
regime (longitudinal-transverse interaction)
199
. 1
Special features of the formulation of the boundary value problem
199
.2
Original relations and estimates
200
.3
Equations and boundary conditions
201
.4
Eigenvalue problem
203
.5
Approximate calculation of the flow past a wing in the
self-similar case
205
5.1.6
Finite-difference method for solving the problem
207
5.1.7
Numerical results
213
5.2
Formation of secondary flows on thin semi-infinite wings
215
5.2.1
Estimation of secondary flow parameters in boundary layers on
thin wings
215
5.2.2
Thin semi-infinite wing at zero incidence
219
5.2.3
Plane cross-section law
223
5.3
Thin power-law wings in weak viscous-inviscid interaction
224
5.3.1
Formulation of the boundary value problem
225
5.3.2
On the nature of the pressure distribution
228
5.3.3
Certain features of the solution of boundary value problems
228
5.3.4
Characteristics of the self-similar solution
232
5.3.5
Approximate solution of the problem for delta wings
234
5.4
Strong viscous interaction regime on delta and swept wings
236
5.4.1
Formulation of the problem
236
5.4.2
Equations and boundary conditions
237
5.4.3
Strong viscous interaction on a delta wing
239
5.4.4
Solution in the vicinity of the leading edge
240
5.4.5
Strong viscous interaction on a swept plate
241
5.4.6
Propagation of disturbances from the trailing edge of a
swept plate
242
5.4.7
Delta wing
244
5.5
Distinctive features of the symmetric flow over a thin triangular plate
in the strong interaction regime
246
5.5.1
Equations and boundary conditions
246
5.6
Finite-length wings in the strong viscous interaction regime
252
5.6.1
Mathematical formulation of the problem
252
5.6.2
Aerodynamic characteristics of finite-length wings at zero
incidence
255
5.6.3
Wings of finite length at an angle of attack
259
Contents
5.7
Wings of finite length in the moderate viscous interaction regime
264
5.7.1
Mathematical formulation of the problem
265
5.7.2
Aerodynamic characteristics of a wing at zero incidence
267
5.7.3
Angle-of-attack effect of the aerodynamic characteristics
270
Chapter
6
Supercritical and
Transcriticai
Interaction Regimes:
Two-Dimensional Flows
277
6.1
Distinctive features of boundary layer separation on a cold body and its
interaction with a hypersonic flow
278
6.1.1
Formulation of the problem
278
6.1.2
Starting estimates
279
6.1.3
Solution for the hypersonic regime of weak viscous interaction
281
6.1.4
Discussion of the results
283
6.1.5
Supercritical regime of incipient separation
286
6.2
Distinctive features of interaction and separation of
a transcriticai
boundary layer
289
6.2.1
Equations and boundary conditions
289
6.2.2
Flow in region
3 293
6.2.3
Classification of flow regimes
293
6.2.4
Properties of
transcriticai
flows corresponding to curve
AB
298
6.2.5
Properties of integral curves
300
6.3
Study of time-dependent processes of
transcriticai
interaction between
the laminar boundary layer and a hypersonic flow
304
6.3.1
Estimates of the scales
304
6.3.2
Formulation and solution of the boundary value problem
306
6.3.3
Conclusion
313
6.4
Analysis of the boundary layer flow near the trailing edge of a flat plate and
in its wake in the strong hypersonic interaction regime
ЗІЗ
6.4.1
Formulation of the problem
ЗІЗ
6.4.2
Investigation of the plate wake flow in the vicinity of the point
of subcritical-to-supercritical transition
315
6.4.3
Investigation of the flow in the vicinity of the transition point
for a near-supercritical regime
317
6.4.4
Analysis of the flow in the vicinity of the trailing edge of a flat
plate in the
subcriticai
and supercritical regimes
320
6.4.5
Analysis of the flow in the vicinity of the trailing edge of a flat
plate in the
transcriticai
interaction regime
322
6.5
Global solution for the hypersonic flow over a finite-length plate
with account for the wake flow
328
6.5.1
Formulation of the problem
328
6.5.2
Transformation of variables
330
6.5.3
Results of calculations
330
xii
Contents
6.6
Strong interaction of the boundary layer with a hypersonic flow
under local disturbances of boundary conditions
332
6.6.1
Formulation of the problem
332
6.6.2
Estimates of the orders of the flow parameters
333
6.6.3
Flow regime with finite pressure disturbances
336
6.6.4
Flow patterns with small pressure differences
341
6.6.5
Concluding remarks
343
Chapter
7
Three-Dimensional Hypersonic Viscous Flows with
Supercritical and
Subcriticai
Regions
345
7.
1 Strong interaction between a hypersonic flow and the boundary layer
on a cold delta wing
345
7.1.1
Equations and boundary conditions
345
7.1.2
Solution near the leading edge
347
7.1.3
Flow regimes
349
7.1.4
Analysis of the solution in the vicinity of the critical section
350
7.1.5
Aerodynamic characteristics of delta wings
357
7.1.6
Characteristics for supercritical boundary layers and wakes for an
arbitrary wing
planform
359
7.2
Propagation of disturbances in three-dimensional time-dependent
boundary layers
363
7.2.1
Formulation of the problem
363
7.2.2
Determining subcharacteristic surfaces in time-dependent
three-dimensional flows
365
7.2.3
Results of the numerical analysis
368
7.2.4
Two-dimensional flows
370
7.2.5
Three-dimensional boundary layer
372
7.3
Supercritical regimes of hypersonic flow over a yawed planar delta wing
372
7.3.1
Equations and boundary conditions
373
7.3.2
Results of the calculations
375
7.4
Existence of self-similar solutions in the supercritical region on a
nonplanar delta wing in hypersonic flow
378
7.4.1
Equations and boundary conditions
378
7.4.2
Self-similar solutions
380
7.4.3
Results of calculations
382
7.5
Effect of strong cooling of the surface on the hypersonic viscous flow
over a nonplanar delta wing
386
7.5.1
Equations and boundary conditions
387
7.5.2
Results of calculations
389
7.6
Self-similar flows with gas injection from the triangular plate surface
into a hypersonic flow
393
7.6.1
Equations and boundary conditions
394
7.6.2
Reduction to self-similar form
397
7.6.3
Results of calculations
398
Contents xiii
7.7
Mass transfer on a planar delta wing in the presence of a supercritical flow
region in the boundary layer
403
7.7.1
Equations and boundary conditions
404
7.7.2
Results of calculations
404
7.8
Mass transfer on a nonplanar delta wing
409
7.8.1
Equations and boundary conditions
409
7.8.2
Results of calculations
411
7.9
Using the Newtonian passage to limit for studying the flow over a
delta wing
417
7.9.1
Estimates of the flow parameters
418
7.9.2
Self-similar variables
424
7.9.3
Conditions of supercritical-to-m-subcritical flow regime
transition
427
Chapter
8
Boundary Layer Flow Over Roughnesses at Body Surfaces
433
8.1
Flow over two-dimensional roughnesses
433
8.1.1
General formulation of the problem and classification of flow
regimes
433
8.1.2
Flow over "short" roughnesses embedded in the wall region of the
undisturbed boundary layer
435
8.1.3
Flow over "short" roughnesses with the formation of locally
inviscid disturbed flow regions
439
8.1.4
Flow over roughnesses with a characteristic length equal in the
order to the boundary layer thickness
446
8.1.5
Flow over "long" roughnesses whose length is greater than the
boundary layer thickness
451
8.1.6
Classification diagram of the regimes of the flow over small
two-dimensional roughnesses
456
8.1.7
Examples of solutions for the flow over two-dimensional
roughnesses
457
8.1.8
Classification of the regimes of flow over roughness on a cold
surface
465
8.2
Regimes of the flow over three-dimensional roughnesses
475
8.2.1
Flow over fairly narrow roughness of the type of a hole or a hill
475
8.2.2
Flow over streamwise-elongated narrow roughnesses
481
8.2.3
Compensation regime of the flow over roughnesses
486
8.3
Numerical investigation of the three-dimensional flow over roughnesses
in the compensation interaction regime
497
8.3.1
Formulation of the problem and estimates for the scales
498
8.3.2
Boundary value problem
501
8.3.3
Numerical solution
503
Bibliography
509
Index
527 |
| adam_txt |
Contents
Preface
xv
Chapter
1
Flow in the Regions of Free Interaction Between a
Supersonic Flow and a Boundary Layer
1
1.1
Derivation of the equations and boundary conditions
2
1.1.1
Estimates of the scales and characteristic values of the functions in
disturbed flow regions
2
1.1.2
Asymptotic representations, equations, and boundary conditions
4
1.2
Flow near the separation point of the laminar boundary layer in a
supersonic flow
9
1.2.1
Formulation of the problem and similarity law
9
1.2.2
Asymptotic behavior of the solution at minus infinity and
results of the numerical solution of the problem
11
1.2.3
Results of calculations and comparison with experimental data
11
1.2.4
Note on the nature of upstream disturbance propagation in the
interaction between the boundary layer and the outer flow
15
1.3
Separation far from the leading edge
18
1.4
Separation from a leading edge
22
Chapter
2
Other Types of Flows Described by Free Interaction Theory
25
2.1
Laminar boundary layer separation in a supersonic flow under conditions of
low skin friction
25
2.1.1
Formulation of the problem. Estimation of the scales and
characteristic values of the flow functions in the wall region
25
2.1.2
Equations and boundary conditions
27
2.1.3
Solution of the linear boundary value problem
30
2.2
Expansion flow
33
2.2.1
Asymptotic behavior of the solution, as
ξ
-> 0
and
ξ
-»·
oo
34
2.2.2
Results of calculations
35
2.3
Other types of flows described by free interaction equations
37
2.3.1
Equations and boundary conditions for the case of a curvilinear
body contour
39
2.3.2
Flow inside a corner somewhat smaller than
π
and region of
weak shock incidence on a boundary layer
40
viii Contents
2.3.3
Formulation
of other problems for flows with free interaction
42
2.3.4
Integration of the equations
44
2.4
Elimination of boundary layer separation by means of slot suction
45
2.4.1
Formulation of the problem
46
2.4.2
Derivation of the equations and boundary conditions for regions
1
and
2 48
2.4.3
Solutions for nonlinear inviscid flow regions for Ax
»
ε
52
2.4.4
Solutions for finite-length flaps and bodies with a bend in the contour
fori
»6»
»ε1/2
55
2.4.5
Flow past a flap deflected by an angle
ö~£1/2 56
2.4.6
Flow patterns in the laminar boundary layer for finite flap
deflection angles
57
Chapter
3
Viscous Gas Flows in Regions with Developed Locally
Inviscid Zones and High Local Pressure Gradients
61
3.1
Formulation of the problem of the expansion flow near a corner point on a
body in supersonic flow
61
3.1.1
Asymptotic expansions
63
3.1.2
Upstream disturbance decay
66
3.1.3
Boundary conditions for the viscous sublayer
32 68
3.1.4
Bringing the equations for region
33
into the standard form
70
3.1.5
Solution of the problem in the region of locally inviscid flow
22 71
3.2
Flow ahead of the base section of a body
75
3.2.1
Formulation of the problem and characteristic flow regions
75
3.2.2
Solution of the problem and comparison with experimental data
76
3.3
Reattachment of a supersonic flow to the body surface
77
3.3.1
Formulation of the problem and main flow regions
79
3.3.2
Nature of the locally inviscid flow in region
22 80
3.3.3
Solution for the problem of the locally inviscid flow in region
22 82
3.3.4
Viscous flow regions
86
3.3.5
Solution for the region with maximum friction and heat flux values
93
3.3.6
Discussion of the Chapman-Korst criterion
95
3.4
Problems with discontinuous boundary conditions describing laminar
high-Reynolds-number flows
101
3.4.1
Structure of disturbed flow regions
102
3.4.2
Analysis of the regimes described by free interaction theory
107
3.4.3
Boundary value problem for the case
εΙ/4
«;
uw
<šC
1
in the
vicinity of the point of the beginning of the motion of the
surface (steady case)
109
3.4.4
Numerical solution of the problem
111
3.4.5
Analysis of nonlinear time-dependent flow patterns
113
3.4.6
Examples of numerical solutions of nonlinear time-dependent
problems
116
Contents ix
3.5
Structure
of chemically nonequilibrium flows at jumpwise variation
of the temperature and catalytic properties of the surface
120
3.5.1
Formulation of the problem
121
3.5.2
Parameter scales, equations, and boundary conditions
123
3.5.3
Analysis of the flow in region IV near the point of jumpwise
variation of the temperature and catalytic properties of the
surface
129
3.5.4
Results of numerical calculations
132
Chapter
4
Flows Under Conditions of the Interaction Between the Boundary
Layer and the Outer Flow Along the Entire Body Length
137
4.1
Regime of weak interaction with the outer flow
137
4.2
Moderate and strong interactions in a hypersonic flow
142
4.2.1
Flow nature in the locations of rapid variation of the boundary
conditions
142
4.2.2
Equations and boundary conditions for the flat-plate flows in
the presence of moderate and strong interactions
144
4.2.3
Study of the nature of the nonuniqueness of the boundary
value problem
147
4.2.4
Results of calculations and comparison of the similarity law
with the experimental data
152
4.3
Theory of hypersonic flow/boundary layer interaction for
two-dimensional separated flows
157
4.3.1
Formulation of the problem, equations, and boundary conditions
157
4.3.2
Similarity criteria
162
4.4
Propagation of disturbances at strong distributed gas injection through
the body surface to a supersonic flow
163
4.4.1
Formulation of the problem and derivation of the equations
163
4.4.2
Analysis of the solutions for region
1 165
4.4.3
Flow near the base section
167
4.4.4
Concluding remarks
170
4.4.5
Integration of Eqs.
(4.36) 172
4.5
Detachment of a laminar boundary-layer
173
4.5.1
Formulation of the problem, equations, and boundary conditions
174
4.5.2
Results of the solution
177
4.6
Gas injection into a hypersonic flow
179
4.6.1
Formulation of the problem
179
4.6.2
Equations and boundary conditions
179
4.6.3
Self-similar solutions
182
4.6.4
Analysis of the
N — 0(1)
regime
186
4.6.5
Dependence of the solution on the base pressure difference
188
4.6.6
Base pressure difference effect on the flow past an impermeable
surface
190
Contents
4.7 Gas
injection
into a hypersonic flow
(moderate
injection)
190
4.7.1
Formulation of the problem and boundary conditions
192
4.7.2
Results of the solution
194
Chapter
5
Three-Dimensional Hypersonic Viscous Flows
199
5.1
Viscous flow over a low-aspect-ratio wing in the weak interaction
regime (longitudinal-transverse interaction)
199
. 1
Special features of the formulation of the boundary value problem
199
.2
Original relations and estimates
200
.3
Equations and boundary conditions
201
.4
Eigenvalue problem
203
.5
Approximate calculation of the flow past a wing in the
self-similar case
205
5.1.6
Finite-difference method for solving the problem
207
5.1.7
Numerical results
213
5.2
Formation of secondary flows on thin semi-infinite wings
215
5.2.1
Estimation of secondary flow parameters in boundary layers on
thin wings
215
5.2.2
Thin semi-infinite wing at zero incidence
219
5.2.3
Plane cross-section law
223
5.3
Thin power-law wings in weak viscous-inviscid interaction
224
5.3.1
Formulation of the boundary value problem
225
5.3.2
On the nature of the pressure distribution
228
5.3.3
Certain features of the solution of boundary value problems
228
5.3.4
Characteristics of the self-similar solution
232
5.3.5
Approximate solution of the problem for delta wings
234
5.4
Strong viscous interaction regime on delta and swept wings
236
5.4.1
Formulation of the problem
236
5.4.2
Equations and boundary conditions
237
5.4.3
Strong viscous interaction on a delta wing
239
5.4.4
Solution in the vicinity of the leading edge
240
5.4.5
Strong viscous interaction on a swept plate
241
5.4.6
Propagation of disturbances from the trailing edge of a
swept plate
242
5.4.7
Delta wing
244
5.5
Distinctive features of the symmetric flow over a thin triangular plate
in the strong interaction regime
246
5.5.1
Equations and boundary conditions
246
5.6
Finite-length wings in the strong viscous interaction regime
252
5.6.1
Mathematical formulation of the problem
252
5.6.2
Aerodynamic characteristics of finite-length wings at zero
incidence
255
5.6.3
Wings of finite length at an angle of attack
259
Contents
5.7
Wings of finite length in the moderate viscous interaction regime
264
5.7.1
Mathematical formulation of the problem
265
5.7.2
Aerodynamic characteristics of a wing at zero incidence
267
5.7.3
Angle-of-attack effect of the aerodynamic characteristics
270
Chapter
6
Supercritical and
Transcriticai
Interaction Regimes:
Two-Dimensional Flows
277
6.1
Distinctive features of boundary layer separation on a cold body and its
interaction with a hypersonic flow
278
6.1.1
Formulation of the problem
278
6.1.2
Starting estimates
279
6.1.3
Solution for the hypersonic regime of weak viscous interaction
281
6.1.4
Discussion of the results
283
6.1.5
Supercritical regime of incipient separation
286
6.2
Distinctive features of interaction and separation of
a transcriticai
boundary layer
289
6.2.1
Equations and boundary conditions
289
6.2.2
Flow in region
3 293
6.2.3
Classification of flow regimes
293
6.2.4
Properties of
transcriticai
flows corresponding to curve
AB
298
6.2.5
Properties of integral curves
300
6.3
Study of time-dependent processes of
transcriticai
interaction between
the laminar boundary layer and a hypersonic flow
304
6.3.1
Estimates of the scales
304
6.3.2
Formulation and solution of the boundary value problem
306
6.3.3
Conclusion
313
6.4
Analysis of the boundary layer flow near the trailing edge of a flat plate and
in its wake in the strong hypersonic interaction regime
ЗІЗ
6.4.1
Formulation of the problem
ЗІЗ
6.4.2
Investigation of the plate wake flow in the vicinity of the point
of subcritical-to-supercritical transition
315
6.4.3
Investigation of the flow in the vicinity of the transition point
for a near-supercritical regime
317
6.4.4
Analysis of the flow in the vicinity of the trailing edge of a flat
plate in the
subcriticai
and supercritical regimes
320
6.4.5
Analysis of the flow in the vicinity of the trailing edge of a flat
plate in the
transcriticai
interaction regime
322
6.5
Global solution for the hypersonic flow over a finite-length plate
with account for the wake flow
328
6.5.1
Formulation of the problem
328
6.5.2
Transformation of variables
330
6.5.3
Results of calculations
330
xii
Contents
6.6
Strong interaction of the boundary layer with a hypersonic flow
under local disturbances of boundary conditions
332
6.6.1
Formulation of the problem
332
6.6.2
Estimates of the orders of the flow parameters
333
6.6.3
Flow regime with finite pressure disturbances
336
6.6.4
Flow patterns with small pressure differences
341
6.6.5
Concluding remarks
343
Chapter
7
Three-Dimensional Hypersonic Viscous Flows with
Supercritical and
Subcriticai
Regions
345
7.
1 Strong interaction between a hypersonic flow and the boundary layer
on a cold delta wing
345
7.1.1
Equations and boundary conditions
345
7.1.2
Solution near the leading edge
347
7.1.3
Flow regimes
349
7.1.4
Analysis of the solution in the vicinity of the critical section
350
7.1.5
Aerodynamic characteristics of delta wings
357
7.1.6
Characteristics for supercritical boundary layers and wakes for an
arbitrary wing
planform
359
7.2
Propagation of disturbances in three-dimensional time-dependent
boundary layers
363
7.2.1
Formulation of the problem
363
7.2.2
Determining subcharacteristic surfaces in time-dependent
three-dimensional flows
365
7.2.3
Results of the numerical analysis
368
7.2.4
Two-dimensional flows
370
7.2.5
Three-dimensional boundary layer
372
7.3
Supercritical regimes of hypersonic flow over a yawed planar delta wing
372
7.3.1
Equations and boundary conditions
373
7.3.2
Results of the calculations
375
7.4
Existence of self-similar solutions in the supercritical region on a
nonplanar delta wing in hypersonic flow
378
7.4.1
Equations and boundary conditions
378
7.4.2
Self-similar solutions
380
7.4.3
Results of calculations
382
7.5
Effect of strong cooling of the surface on the hypersonic viscous flow
over a nonplanar delta wing
386
7.5.1
Equations and boundary conditions
387
7.5.2
Results of calculations
389
7.6
Self-similar flows with gas injection from the triangular plate surface
into a hypersonic flow
393
7.6.1
Equations and boundary conditions
394
7.6.2
Reduction to self-similar form
397
7.6.3
Results of calculations
398
Contents xiii
7.7
Mass transfer on a planar delta wing in the presence of a supercritical flow
region in the boundary layer
403
7.7.1
Equations and boundary conditions
404
7.7.2
Results of calculations
404
7.8
Mass transfer on a nonplanar delta wing
409
7.8.1
Equations and boundary conditions
409
7.8.2
Results of calculations
411
7.9
Using the Newtonian passage to limit for studying the flow over a
delta wing
417
7.9.1
Estimates of the flow parameters
418
7.9.2
Self-similar variables
424
7.9.3
Conditions of supercritical-to-m-subcritical flow regime
transition
427
Chapter
8
Boundary Layer Flow Over Roughnesses at Body Surfaces
433
8.1
Flow over two-dimensional roughnesses
433
8.1.1
General formulation of the problem and classification of flow
regimes
433
8.1.2
Flow over "short" roughnesses embedded in the wall region of the
undisturbed boundary layer
435
8.1.3
Flow over "short" roughnesses with the formation of locally
inviscid disturbed flow regions
439
8.1.4
Flow over roughnesses with a characteristic length equal in the
order to the boundary layer thickness
446
8.1.5
Flow over "long" roughnesses whose length is greater than the
boundary layer thickness
451
8.1.6
Classification diagram of the regimes of the flow over small
two-dimensional roughnesses
456
8.1.7
Examples of solutions for the flow over two-dimensional
roughnesses
457
8.1.8
Classification of the regimes of flow over roughness on a cold
surface
465
8.2
Regimes of the flow over three-dimensional roughnesses
475
8.2.1
Flow over fairly narrow roughness of the type of a hole or a hill
475
8.2.2
Flow over streamwise-elongated narrow roughnesses
481
8.2.3
Compensation regime of the flow over roughnesses
486
8.3
Numerical investigation of the three-dimensional flow over roughnesses
in the compensation interaction regime
497
8.3.1
Formulation of the problem and estimates for the scales
498
8.3.2
Boundary value problem
501
8.3.3
Numerical solution
503
Bibliography
509
Index
527 |
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| id | DE-604.BV035012330 |
| illustrated | Illustrated |
| index_date | 2024-07-02T21:44:16Z |
| indexdate | 2024-10-14T14:09:02Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016681553 |
| oclc_num | 166383249 |
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| owner | DE-703 |
| owner_facet | DE-703 |
| physical | xxv, 536 p. ill. |
| publishDate | 2008 |
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| publisher | Elsevier Butterworth-Heinemann |
| record_format | marc |
| series2 | Elsevier aerospace engineering series |
| spelling | Asymptotic theory of supersonic viscous gas flows V. Ya. Neiland ... [et al.] 1. ed. Amsterdam [u.a.] Elsevier Butterworth-Heinemann 2008 xxv, 536 p. ill. txt rdacontent n rdamedia nc rdacarrier Elsevier aerospace engineering series Includes bibliographical references (p. 509-526) and index Aerodynamics, Supersonic Viscous flow Navier-Stokes equations / Asymptotic theory Navier-Stokes equations Asymptotic theory Überschallströmung (DE-588)4186626-5 gnd rswk-swf Gasströmung (DE-588)4156052-8 gnd rswk-swf Viskose Strömung (DE-588)4226965-9 gnd rswk-swf Gasströmung (DE-588)4156052-8 s Viskose Strömung (DE-588)4226965-9 s Überschallströmung (DE-588)4186626-5 s DE-604 Neiland, V. Ya. Sonstige oth Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016681553&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Asymptotic theory of supersonic viscous gas flows Aerodynamics, Supersonic Viscous flow Navier-Stokes equations / Asymptotic theory Navier-Stokes equations Asymptotic theory Überschallströmung (DE-588)4186626-5 gnd Gasströmung (DE-588)4156052-8 gnd Viskose Strömung (DE-588)4226965-9 gnd |
| subject_GND | (DE-588)4186626-5 (DE-588)4156052-8 (DE-588)4226965-9 |
| title | Asymptotic theory of supersonic viscous gas flows |
| title_auth | Asymptotic theory of supersonic viscous gas flows |
| title_exact_search | Asymptotic theory of supersonic viscous gas flows |
| title_exact_search_txtP | Asymptotic theory of supersonic viscous gas flows |
| title_full | Asymptotic theory of supersonic viscous gas flows V. Ya. Neiland ... [et al.] |
| title_fullStr | Asymptotic theory of supersonic viscous gas flows V. Ya. Neiland ... [et al.] |
| title_full_unstemmed | Asymptotic theory of supersonic viscous gas flows V. Ya. Neiland ... [et al.] |
| title_short | Asymptotic theory of supersonic viscous gas flows |
| title_sort | asymptotic theory of supersonic viscous gas flows |
| topic | Aerodynamics, Supersonic Viscous flow Navier-Stokes equations / Asymptotic theory Navier-Stokes equations Asymptotic theory Überschallströmung (DE-588)4186626-5 gnd Gasströmung (DE-588)4156052-8 gnd Viskose Strömung (DE-588)4226965-9 gnd |
| topic_facet | Aerodynamics, Supersonic Viscous flow Navier-Stokes equations / Asymptotic theory Navier-Stokes equations Asymptotic theory Überschallströmung Gasströmung Viskose Strömung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016681553&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT neilandvya asymptotictheoryofsupersonicviscousgasflows |