超聲流和激波

內(nèi)容概要

本書初版于1948年，這是1999年的第5次修訂印刷版。一部著作歷經(jīng)半個(gè)多世紀(jì)仍然再版，毫無疑問這是一本經(jīng)典圖書。書中討論了可壓縮流體動(dòng)力學(xué)的基本問題，建立了與氣體動(dòng)力學(xué)有關(guān)的非線性波傳播理論。本書自出版以來一直是流體動(dòng)力學(xué)方面的一部重要參考書，其中所涉及的問題至今仍是熱門的研究課題。

作者簡介

作者：(美國)庫朗 (德國)弗里德里斯

書籍目錄

Ⅰ. Compressible Fluids  1. Qualitative differences between linear and nonlinear waves　A. General Equations of Flow.  Thermodynamic Notions　　2. The medium　　3. Ideal gases, polytropic gases, and media with separable energy　　4. Mathematical comments on ideal gases　　5. Solids which do not satisfy Hooke's law　　6. Discrete media　　7. Differential equations of motion　　8. Conservation of energy　　9. Enthalpy　  10. Isentropic flow.  Steady flow.  Subsonic and supersonic flow　  11. Acoustic approximation　  12. Vector form of the flow equations　  13. Conservation of circulation.  Irrotational flow.  Poten-tial  　14. Bernoulli's law  　  15. Limit speed and critical speed　B. Differential Equations for Specific Types of Flow  　16. Steady flows　  17. Non-steady flows  　18. Lagrange's equations of motion for one-dimensional and spherical flow  Appendix--Wave Motion in Shallow Water　  19. Shallow water theoryⅡ. Mathematical Theory of Hyperbolic Flow Equations for Functions of Two Variables  20. Flow equations involving two functions of two variables..  21. Differential equations of second order type  22. Characteristic curves and characteristic equations  23. Characteristic equations for specific problems  24. The initial value problem.  Domain of dependence.Range of influence  25. Propagation of discontinuities along characteristic lines..  26. Characteristic lines as separation lines between regions of different types  27. Characteristic initial values  28. Supplementary remarks about boundary data  29. Simple waves.  Flow adjacent to a region of constant state  30. The hodograph transformation and its singularities.Limiting lines  31. Systems of more than two differential equations　Appendix  　32. General remarks about differential equations for func-tions of more than two independent variables.Char-acteristic surfacesⅢ. One-Dimensional Flow  33. Problems of one-dimensional flow  A. Continuous Flow  　34. Characteristics　  35. Domain of dependence.  Range of influence　  36. More general initial data　  37. Riemann invariants　  38. Integration of the differential equations of isentropic flow　  39. Remarks on the Lagrangian representation  B. Rarefaction and Compression Waves  　40. Simple waves　  41. Distortion of the wave form in a simple wave　  42. Particle paths and cross-characteristics in a simple wave　  43. Rarefaction  waves　  44. Escape speed.  Complete and incomplete rarefaction waves  　45. Centered rarefaction waves　  46. Explicit formulas for centered rarefaction waves　  47. Remark on simple waves in Lagrangian coordinates　  48. Compression waves  Appendix to Part B  　49. Position of the envelope and its cusp in a compression wave  C. Shacks　  50. The shock as an irreversible process  　51. Historical remarks on non-linear flow　  52. Discontinuity surfaces　  53. Basic model of discontinuous motion.  Shock wave in a tube　……Ⅳ.Isentropic Irrotational Steady Plane FlowⅤ.Folw in Noxxies and JetsⅥ.Folw in Three DimensionsBibligraphyIndex of SybmolsSubjuct Index

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