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020 _a0521402042
020 _a9780521402040
040 _aICTS-TIFR
050 _aQC330.2 .K68
100 _aE.L Koschmeder
245 _aBenard cells and taylor vortices
260 _aNew York :
_bCambridge University Press,
_c[c1993]
300 _a334 p.
490 _aCambridge monographs on mechanics
505 _aPart I. Bénard Convection and Rayleigh–Bénard Convection: 1. Bénard's experiments 2. Linear theory of Rayleigh–Bénard convection 3. Theory of surface tension driven Bénard convection 4. Surface tension driven Bénard convection experiments 5. Linear Rayleigh–Bénard convection experiments 6. Supercritical Rayleigh–Bénard convection experiments 7. Nonlinear theory of Rayleigh–Bénard convection 8. Miscellaneous topics Part II. Taylor Vortex Flow: 9. Circular Couette flow 10. Rayleigh's stability criterion 11. G. I. Taylor's work 12. Torque measurements 13. Supercritical Taylor vortex experiments 14. Nonlinear theory of Taylor vortices 15. Miscellaneous topics.
520 _aThis book describes the research done on the problems of Bénard convection, as well as its modern offspring the Rayleigh–Bénard problem, and Taylor vortices. Bénard convection differs from Rayleigh–Bénard convection by the presence of surface tension, whilst Bénard convection is characterized by parallel rolls. Toroidal vortices characterize Taylor vortex flow. Convection and Taylor vortex flow deal with the consequences of the presence of infinitesimal disturbances in a fluid layer. Both problems are classical examples in the theory of hydrodynamic stability and share many features. Linear theory describing the onset of instability for both problems is practically completed; nonlinear problems have been at the forefront of research during the last 30 years. The impressive progress that has been made in the theoretical and experimental investigation of the nonlinear problems is described and the remaining basic problems are outlined.--- Summary provided by publisher
650 _aMathematics
700 _aEdited by G.K Batchelor
700 _aL.B Freund
942 _2lcc
_cBK
999 _c35478
_d35478