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Books on the topic 'Fluid mechanics – Mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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1

Katz, Joseph. Introductory fluid mechanics. Cambridge University Press, 2010.

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2

Rodrigo Diez, José Luis, 1977-, ed. Mathematical aspects of fluid mechanics. Cambridge University Press, 2012.

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3

N, Seetharamu K., ed. Engineering fluid mechanics. Alpha Science International, 2005.

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4

Frontiers in Experimental Fluid Mechanics. Springer Berlin Heidelberg, 1989.

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5

Monin, A. S. Statistical fluid mechanics: Mechanics of turbulence. Dover Publications, 2007.

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6

Spurk, Joseph H. Fluid Mechanics: Problems and Solutions. Springer Berlin Heidelberg, 1997.

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7

M, Rahman. Mechanics of real fluids. WIT Press, 2011.

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8

1958-, Katz Ira M., and Schaffer James P, eds. Introduction to fluid mechanics. Oxford University Press, 2005.

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9

Muralidhar, K. Advanced engineering fluid mechanics. Narosa, 1996.

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10

Gautam, Biswas, ed. Advanced engineering fluid mechanics. 2nd ed. Alpha Science International, 2005.

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11

Neustupa, Jiří. Mathematical Fluid Mechanics: Recent Results and Open Questions. Birkhäuser Basel, 2001.

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12

Schaschke, Carl. Fluid mechanics: Worked examples for engineers. IChemE, 1998.

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13

Litvinov, William G. Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics. Birkhäuser Basel, 2000.

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14

Lidia, Palese, ed. Stability criteria for fluid flows. World Scientific, 2009.

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15

Georgescu, Adelina. Stability criteria for fluid flows. World Scientific, 2009.

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16

Computational methods in environmental fluid mechanics. Springer, 2002.

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17

Sir James Lighthill and modern fluid mechanics. Imperial College Press, 2008.

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18

Schobeiri, Meinhard. Fluid Mechanics for Engineers: A Graduate Textbook. Springer-Verlag Berlin Heidelberg, 2010.

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19

Çengel, Yunus A. Fundamentals of thermal-fluid sciences. 2nd ed. McGraw-Hill Companies, 2005.

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20

V, Pukhnachev Vladislav, Galdi, Giovanni P. (Giovanni Paolo), 1947-, and SpringerLink (Online service), eds. New Directions in Mathematical Fluid Mechanics: The Alexander V. Kazhikhov Memorial Volume. Birkhäuser Basel, 2010.

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21

Feireisl, Eduard. Asymptotic behavior of dynamical systems in fluid mechanics. American Institute of Mathematical Sciences, 2010.

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22

The physics of fluid turbulence. Clarendon Press, 1990.

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23

McComb, W. D. The physics of fluid turbulence. Clarendon Press, 1991.

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24

Marchioro, Carlo. Mathematical theory of incompressible non-viscous fluids. Springer-Verlag, 1994.

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25

Computational continuum mechanics. 2nd ed. Cambridge University Press, 2012.

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26

Lin, C. C. Selected papers of C.C. Lin. World Scientific, 1987.

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27

Lin, C. C. Selected papers of C.C. Lin. Edited by Benney David J, Shu Frank H, and Yuan Chi. World Scientific, 1987.

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28

J, Benney David, Shu Frank H, and Yuan Chi, eds. Selected papers of C.C. Lin. World Scientific, 1987.

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29

Tropea, Cameron. Nature-Inspired Fluid Mechanics: Results of the DFG Priority Programme 1207 ”Nature-inspired Fluid Mechanics” 2006-2012. Springer Berlin Heidelberg, 2012.

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30

Asymptotic modelling of fluid flow phenomena. Kluwer Academic, 2002.

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31

Chao, C. C. Recent Advances in Computational Fluid Dynamics: Proceedings of the US/ROC (Taiwan) Joint Workshop on Recent Advances in Computational Fluid Dynamics. Springer Berlin Heidelberg, 1989.

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32

Alain, Miranville, ed. Mathematical modeling in continuum mechanics. 2nd ed. Cambridge University Press, 2005.

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33

Temam, Roger. Mathematical modeling in continuum mechanics. Cambridge University Press, 2001.

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34

Bakker, P. G. Bifurcations in Flow Patterns: Some Applications of the Qualitative Theory of Differential Equations in Fluid Dynamics. Springer Netherlands, 1991.

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35

Venkatakrishnan, V. Barriers and Challenges in Computational Fluid Dynamics. Springer Netherlands, 1998.

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36

Klaus-Jürgen, Bathe, ed. Computational fluid and solid mechanics 2003: Proceedings, Second MIT Conference on Computational Fluid and Solid Mechanics, June 17-20, 2003. Elsevier, 2003.

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37

Belot͡serkovskiĭ, O. M. Monte Carlo methods in mechanics of fluid and gas. World Scientific, 2010.

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38

Finite elements for solids, fluids, and optimization. Oxford University Press, 1992.

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39

Roger, Prud'homme, ed. Mechanical and thermodynamical modeling of fluid interfaces. World Scientific, 2001.

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40

Carabineanu, Adrian. Metoda transformărilor conforme pentru domenii vecine cu aplicații în mecanica fluidelor. Editura Academiei Române, 1993.

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41

Aksel, Nuri, and Joseph H. Spurk. Fluid Mechanics. Springer, 2019.

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42

Schaschke, Carl. Fluid Mechanics. The Institution of Chemical Engineers, 2005.

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43

Gibson, Dauhrice, and Walter R. Debler. Fluid Mechanics Fundamentals. Prentice Hall, 1985.

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44

Gibson, Dauhrice, and Walter R. Debler. Fluid Mechanics Fundamentals. Prentice Hall, 1985.

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45

Narayana, P. A. A., and K. N. Seetharamu. Engineering Fluid Mechanics. Alpha Science International, Ltd, 2004.

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46

Peyret, Roger. Handbook of Computational Fluid Mechanics. 2nd ed. Academic Press, 2000.

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47

Handbook of Computational Fluid Mechanics. Academic Pr, 1996.

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48

Recent advances in fluid mechanics. Gordon & Breach Science Publ., 1998.

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49

(Editor), P. L. Sachdev, and M. Venkatachalappa (Editor), eds. Recent Advances in Fluid Mechanics. CRC, 1999.

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50

Rajeev, S. G. Fluid Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.001.0001.

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Abstract:

Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using conformal transformations, viscous flows such as Couette and Stokes flow around a sphere, shocks in the Burgers equation. Prandtl’s boundary layer theory and the Blasius solution are presented. Rayleigh–Taylor instability is studied in analogy with the inverted pendulum, with a digression on Kapitza’s stabilization. The possibility of transients in a linearly stable system with a non-normal operator is studied using an example by Trefethen et al. The integrable models (KdV, Hasimoto’s vortex soliton) and their hamiltonian formalism are studied. Delving into deeper mathematics, geodesics on Lie groups are studied: first using the Lie algebra and then using Milnor’s approach to the curvature of the Lie group. Arnold’s deep idea that Euler’s equations are the geodesic equations on the diffeomorphism group is then explained and its curvature calculated. The next three chapters are an introduction to numerical methods: spectral methods based on Chebychev functions for ODEs, their application by Orszag to solve the Orr–Sommerfeld equation, finite difference methods for elementary PDEs, the Magnus formula and its application to geometric integrators for ODEs. Two appendices give an introduction to dynamical systems: Arnold’s cat map, homoclinic points, Smale’s horse shoe, Hausdorff dimension of the invariant set, Aref ’s example of chaotic advection. The last appendix introduces renormalization: Ising model on a Cayley tree and Feigenbaum’s theory of period doubling.

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