Thermal Protection Modeling of Hypersonic Flying Apparatus

125 Pages·2018·2.72 MB·English

Innovation and Discovery in Russian Science and Engineering
A. S. Yakimov
Thermal Protection
Modeling of
Hypersonic Flying
Apparatus
Innovation and Discovery in Russian Science
and Engineering
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A. S. Yakimov
Thermal Protection Modeling
of Hypersonic Flying
Apparatus
123
A.S.Yakimov
TomskState University
Tomsk
Russia
ISSN 2520-8047 ISSN 2520-8055 (electronic)
Innovation andDiscovery inRussian ScienceandEngineering
ISBN978-3-319-78216-4 ISBN978-3-319-78217-1 (eBook)
https://doi.org/10.1007/978-3-319-78217-1
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Preface
This monograph is devoted to studies of unsteady heat and mass exchange pro-
cesses taking into account thermochemical destruction of thermal protective
materials, research of transpiration cooling systems, thermal protection of com-
positematerialsexposedtolow-energydisturbances,aswellasanumericalsolution
of the conjugate problem of heat and mass exchange. The author proposes several
mathematical models of passive and active thermal protection systems with regard
tosuchcomplicatingfactorsasablationfromthesurface,surfaceroughness,phase
transition of a liquid in porous materials, rotation of the body around its longitu-
dinal axis, and exposure to low-energy disturbances. The author studies the pos-
sibilities to control thermochemical destruction and heat–mass exchange processes
intranspirationcoolingsystemsexposedtolow-energydisturbances.Thenumerical
analysis of the heat and mass exchange process in carbon plastics under repeated
impulse action is given.
The numerical solutions of boundary problems are compared with the known
experimental data.
The book is intended for specialists in the field of thermal protection and heat–
mass exchange, as well as graduate and undergraduate students of physical and
mathematical specialties.
Tomsk, Russia A. S. Yakimov
v
Contents
1 Passive Thermal Protection. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.1 Thermochemical Destruction of Carbon Phenolic
Composites in the High-Enthalpy Pulsing Gas Flow. . . . . . . . . . . 2
1.2 Mathematical Modeling of Heat and Mass Transfer
in Thermal Protective Coatings with Gas Flow Pulsation . . . . . . . 13
1.3 Mathematical Modeling of Surface Roughness and Ablation
Effects on Thermal Protection . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
1.4 Thermal Protection of Multilayer Structure Under
Fire Exposure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
2 Active Thermal Protection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
2.1 Mathematical Modeling of Heat and Mass Exchange
Process in Heat Shielding Material . . . . . . . . . . . . . . . . . . . . . . . 32
2.2 Modeling of Heat and Mass Exchange Process in Transpiration
Cooling System with Gas Flow Pulsation . . . . . . . . . . . . . . . . . . 42
2.3 Modeling of Heat and Mass Transfer Process of Transpiration
Cooling Systems Under Exposure to Small Energy
Perturbations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
2.4 Modeling of Heat and Mass Transfer of Process of Systems
Porous Cooling with Phase Transitions . . . . . . . . . . . . . . . . . . . . 51
2.5 Modeling of Two-Phase Porous Cooling Process at Exposure
Low-Energy Perturbations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
3 Combined Thermal Protection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
3.1 MathematicalModelingofRotationonConjugateHeatandMass
Transfer in High-Enthalpy Flow Around a Spherically Blunted
Cone at an Angle of Attack . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
vii
viii Contents
3.2 Numerical Analysis of Heat and Mass Transfer Characteristics
in Radiative and Convective Heating of a Spherically
Blunted Cone. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
3.3 Conclusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
Conclusion.... .... .... .... ..... .... .... .... .... .... ..... .... 103
Bibliography .. .... .... .... ..... .... .... .... .... .... ..... .... 105
Index .... .... .... .... .... ..... .... .... .... .... .... ..... .... 113
About the Author
A. S. Yakimov is a Doctor of Engineering Sciences, Senior Research Officer,
Professor at the Department of Physical and Computational Mechanics, National
Research Tomsk State University.
He graduated in 1970 from the Faculty of Mechanics and Mathematics,
Kuibyshev Tomsk State University.
In 1981, he defended his thesis for the degree of Candidate of Physical and
Mathematical Sciences at the Research Institute of Applied Mathematics and
Mechanics, Tomsk State University (specialization 01.02.05 is Fluid, gas and
plasma mechanics).
In1999,hedefendedhisthesisforthedegreeofDoctorofEngineeringSciences
(specialization 05.13.16 is Application of computers, mathematical modeling and
mathematical methods in research, and specialization 01.02.05) at Tomsk State
University.
He is the co-author of a textbook, the author of one monograph and 84 publi-
cations (not including theses) devoted to mathematical modeling of some thermal
protection issues, as well as to environment protection and mathematical solutions
of equations in mathematical physics. The latter subject is addressed in the fol-
lowing publications:
1. Grishin AM, Zinchenko VI, Efimov KN, Subbotin AN, Yakimov AS. The
Iterated Interpolation Method and Its Applications. Tomsk: Tomsk University
Publishing House; 2004. 320 p.
2. Grishin AM, Golovanov AN, Zinchenko VI, Efimov KN, Yakimov AS.
Mathematical and Physical Modeling of Thermal Protection. Tomsk: Tomsk
University Publishing House; 2011. 357 p.
3. Yakimov AS. Analytical Solution Methods for Boundary Value Problems.
Tomsk: Tomsk University Publishing House; 2011. 199 p.
ix
x AbouttheAuthor
4. Yakimov AS. Analytical Solution Methods for Boundary Value Problems.
Tomsk: Tomsk University Publishing House; 2014. 214 p.
5. YakimovAS.Mathematicalmodelingofthermalprotectionandsomeproblems
of heat and mass transfer. Tomsk: University Publishing House; 2015. 216 p.
6. Yakimov AS. Analytical Solution Methods for Boundary Value Problems.
Boston: Academic Press is an imprint of Elsevier; 2016. 189 p.