Mathematical models in boundary layer theory:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Chapman & Hall/CRC
1999
|
| Series: | Applied mathematics and mathematical computation
15 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 516 S. graph. Darst. |
| ISBN: | 1584880155 |
Staff View
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| 245 | 1 | 0 | |a Mathematical models in boundary layer theory |c O. A. Oleinik ; V. N. Samokhin |
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Record in the Search Index
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| adam_text | Contents
Preface
Contents
1 The Navier Stokes Equations and the Prandtl System 1
1.1 Derivation of the Prandtl System 1
1.2 Solution of the boundary layer system as the first approxi¬
mation to asymptotic solution of the Navier Stokes equations
near the boundary 5
1.3 Separation of the boundary layer 8
1.4 Setting of the main problems for the equations of boundary
layer 10
1.5 Boundary layer equations for non Newtonian fluids 14
1.6 Boundary layers in magnetohydrodynamics 17
2 Stationary Boundary Layer: von Mises Variables 20
2.1 Continuation of two dimensional boundary layer 20
2.2 Asymptotic behavior of the velocity component along the
boundary layer 45
2.3 Conditions for boundary layer separation 56
2.4 Self similar solutions of the boundary layer equations 62
2.5 Solving the continuation problem by the line method 66
2.6 On three dimensional boundary layer equations 76
Comments 80
3 Stationary Boundary Layer: Crocco Variables 82
3.1 Axially symmetric stationary boundary layer 82
3.2 Symmetric boundary layer 106
3.3 The problem of continuation of the boundary layer 129
3.4 Weak solutions of the boundary layer system 132
4 Nonstationary Boundary Layer 153
4.1 Axially symmetric boundary layer 153
4.2 The continuation problem for a nonstationary axially
symmetric boundary layer 174
4.3 Continuation of the boundary layer. Successive approxima¬
tions 182
4.4 On ^ global solutions of the Prandtl system for axially
symmetric flows 212
4.5 Stability of solutions of the Prandtl system 225
4.6 Time periodic solutions of the nonstationary boundary layer
system 229
4.7 Solving the nonstationary Prandtl system by the line
method in the time variable 247
Comments 264
5 Formation of the Boundary Layer 265
5.1 Solutions and asymptotic expansions for the problem of
boundary layer formation: the case of gradual acceleration 265
5.2 Formation of the boundary layer about a body that suddenly
starts to move 293
Comments 317
6 Finite Difference Method 318
6.1 Solving the boundary layer continuation problem by the
finite difference method 318
6.2 Solving the Prandtl system for axially symmetric flows by
the finite difference method 333
Comments 339
7 Diffraction Problems for the Prandtl System 340
7.1 Boundary layer with unknown border between two media 340
7.2 Mixing of two fluids with distinct properties at the interface
between two flows 360
Comments 368
8 Boundary Layer in Non Newtonian Flows 369
8.1 Symmetric boundary layer in pseudo plastic fluids 369
8.2 Weak solutions of the boundary layer continuation problem
for pseudo plastic fluids 392
8.3 Nonstationary boundary layer for pseudo plastic fluids 405
8.4 Continuation of the boundary layer in dilatable media 418
8.5 Symmetric boundary layer in dilatable media 444
Comments 455
9 Boundary Layer in Magnetohydrodynamics 456
9.1 Continuation of the MHD boundary layer in ordinary fluids 456
9.2 Solving the equations of the MHD boundary layer in
pseudo plastic fluids 465
9.3 Self similar solutions of the MHD boundary layer system
for a dilatable fluid 475
9.4 Solving the equations of boundary layer for dilatable
conducting fluids in a transversal magnetic field 481
Comments 488
10 Homogenization of Boundary Layer Equations 489
10.1 Homogenization of the Prandtl system with rapidly oscillat¬
ing injection and suction 489
10.2 Homogenization of the equations of the MHD boundary
layer in a rapidly oscillating magnetic field 495
Comments 499
Some Open Problems 500
References 504
Index 515
|
| any_adam_object | 1 |
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| dewey-sort | 3533.2 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV012817091 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:34:11Z |
| institution | BVB |
| isbn | 1584880155 |
| language | English |
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| owner_facet | DE-703 DE-634 DE-83 DE-11 DE-188 |
| physical | 516 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series | Applied mathematics and mathematical computation |
| series2 | Applied mathematics and mathematical computation |
| spelling | Olejnik, Olʹga A. 1925-2001 Verfasser (DE-588)114199051 aut Mathematical models in boundary layer theory O. A. Oleinik ; V. N. Samokhin Boca Raton [u.a.] Chapman & Hall/CRC 1999 516 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematics and mathematical computation 15 Grenzschicht (DE-588)4022005-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Grenzschicht (DE-588)4022005-9 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Samochin, V. N. Verfasser aut Applied mathematics and mathematical computation 15 (DE-604)BV006188231 15 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008718424&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Olejnik, Olʹga A. 1925-2001 Samochin, V. N. Mathematical models in boundary layer theory Applied mathematics and mathematical computation Grenzschicht (DE-588)4022005-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4022005-9 (DE-588)4114528-8 |
| title | Mathematical models in boundary layer theory |
| title_auth | Mathematical models in boundary layer theory |
| title_exact_search | Mathematical models in boundary layer theory |
| title_full | Mathematical models in boundary layer theory O. A. Oleinik ; V. N. Samokhin |
| title_fullStr | Mathematical models in boundary layer theory O. A. Oleinik ; V. N. Samokhin |
| title_full_unstemmed | Mathematical models in boundary layer theory O. A. Oleinik ; V. N. Samokhin |
| title_short | Mathematical models in boundary layer theory |
| title_sort | mathematical models in boundary layer theory |
| topic | Grenzschicht (DE-588)4022005-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Grenzschicht Mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008718424&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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