Analytic approximate solutions of rotating disk boundary layer flow subject to a uniform suction or injection

International Journal of Mechanical Sciences - Tập 52 - Trang 1735-1744 - 2010
M. Turkyilmazoglu1
1Mathematics Department, University of Hacettepe, 06532 Beytepe, Ankara, Turkey

Tài liệu tham khảo

Ackroyd, 1978, On the steady flow produced by a rotating disc wit either surface suction of injection, J Eng Phys, 12, 207 Nayfeh, 1979 Nayfeh, 1985 Nayfeh, 2000 Lyapunov AM. General problem on stability of motion (English translation). London: Taylor & Francis; 1992. Adomian, 1988, A review of the decomposition method in applied mathematics, J Math Anal Appl, 135, 501, 10.1016/0022-247X(88)90170-9 Adomian, 1994 Karmishin AV, Zhukov AI, Kolosov VG. Methods of dynamic calculation and testing for thin-walled structures. Moscow: Mashinostroyenie; 1990. Liao SJ. The proposed homotopy analysis technique for the solution of nonlinear problems. PhD thesis, Shanghai Jiao Tong University; 1992. Liao, 2002, Analytic solutions of the temperature distribution in Blasius viscous flow problems, J Fluid Mech, 453, 415, 10.1017/S0022112001007169 Liao, 2001, A non-iterative numerical approach for 2-d viscous flow problems governed by the Falkner–Skan equation, Int J Numer Methods Fluids, 35, 495, 10.1002/1097-0363(20010315)35:5<495::AID-FLD987>3.0.CO;2-Q Liao, 2003 Liao, 2009, Notes on the homotopy analysis method: some definitions and theorems, Commun Nonlin Sci Numer Simul, 14, 983, 10.1016/j.cnsns.2008.04.013 Kármán, 1921, Uber laminare und turbulente reibung, Z Angew Math Mech, 1, 233, 10.1002/zamm.19210010401 Cochran, 1934, The flow due to a rotating disk, Proc Camb Philos Soc, 30, 365, 10.1017/S0305004100012561 Prandtl, 1904, Motion of fluids with very little viscosity, Tech Memo Natn Advis Comm Aeronaut Wash, 452 Stuart, 1954, On the effects of uniform suction on the steady flow due to a rotating disk, Q J Mech Appl Math, 7, 446, 10.1093/qjmam/7.4.446 Kuiken, 1971, The effect of normal blowing on the flow near a rotating disk of infinite extent, J Fluid Mech, 47, 789, 10.1017/S002211207100137X Owen, 1989 Childs PRN. ESDU 07004. Flow in rotating components—discs, cylinders and cavities ESDU fluid mechanics. Flow in rotating machinery. In: Internal flow series, vol. 4c, 2007, ISBN: 978 186 246 605 0. Shevchuk, 2009 Saric, 2003, Stability and transition of three-dimensional boundary layers, Annu Rev Fluid Mech, 35, 413, 10.1146/annurev.fluid.35.101101.161045 Balakumar, 1999, Optimum suction distribution for transition control, Theoret Comput Fluid Dyn, 13, 1, 10.1007/s001620050109 Davies, 2005, Numerical simulation of boundary layer disturbance evolution, Philos Trans R Soc London Ser A, 363, 1109, 10.1098/rsta.2005.1553 Andersson, 2006, Slip flow over a lubricated rotating disk, Int J Heat Fluid Flow, 27, 329, 10.1016/j.ijheatfluidflow.2005.09.002 Dhanak, 1992, Effects of uniform suction on the stability of flow on a rotating disc, Proc R Soc London Ser A, 439, 431, 10.1098/rspa.1992.0160 Seddougui, 1996, The effects of suction on the non-linear stability of a three-dimensional compressible boundary layer, IMA J Appl Math, 56, 183, 10.1093/imamat/56.2.183 Pier, 2003, Finite-amplitude crossflow vortices, secondary instability and transition in the rotating-disk boundary layer, J Fluid Mech, 487, 315, 10.1017/S0022112003004981 Davies, 2003, Global behaviour corresponding to the absolute instability of the rotating-disc boundary layer, J Fluid Mech, 486, 287, 10.1017/S0022112003004701 Cheng, 2006, On the explicit, purely analytic solution of von Karman swirling viscous flow, Commun Nonlin Sci Numer Simul, 47, 75 He, 2004, Comparison of homotopy perturbation method and homotopy analysis method, Appl Math Comput, 156, 527, 10.1016/j.amc.2003.08.008 Liao, 1999, A uniformly valid analytic solution of 2d viscous flow past a semi-infinite flat plate, J Fluid Mech, 385, 101, 10.1017/S0022112099004292 Chen, 2008, A study of homotopy analysis method for limit cycle of van der pol equation, Commun Nonlin Sci Numer Simul, 14, 1816, 10.1016/j.cnsns.2008.07.010 Turkyilmazoglu M. Linear absolute and convective instabilities of some two- and three dimensional flows. PhD thesis, University of Manchester; 1998. Thacker, 1988, Magnetohydrodynamic flow and heat transfer about a rotating disk with suction and injection at the disk surface, Comput Fluids, 16, 183, 10.1016/0045-7930(88)90005-9