The development of a buoyant vortex in stationary and plane stagnation flows

Turner, 1979 Turner, 1957, Buoyant vortex rings, Proc. R. Soc. Lond. A, 239, 61, 10.1098/rspa.1957.0022 Scorer, 1958 Shlien, 1975, Some experiments on motion of an isolated laminar thermal, J. Fluid Mech., 72, 35, 10.1017/S0022112075002923 Shlien, 1979, Velocity-field measurements of a laminar thermal, Phys. Fluids, 22, 1044, 10.1063/1.862710 Morton, 1960, Weak thermal vortex rings, J. Fluid Mech., 9, 107, 10.1017/S0022112060000955 Lundgren, 1992, Microburst modelling and scaling, J. Fluid Mech., 239, 461, 10.1017/S002211209200449X Tanny, 1985, Velocity-field measurements of a laminar starting plume, Phys. Fluids, 28, 1027, 10.1063/1.865023 Chay, 1986, Scalar field-measurements of a laminar starting plume cap using digital processing of interferograms, Phys. Fluids, 29, 2358, 10.1063/1.865527 Scase, 2009, The effect of sudden source buoyancy flux increases on turbulent plumes, J. Fluid Mech., 635, 137, 10.1017/S002211200900740X H. Johari, M. Gharib, Near field development of starting buoyant flows, in: G.M. Carlomagno, I. Grant (Eds.), Proc. 8th Intl Symp. on Flow Visualization, Sorrento, Italy, pp. 83.1–83.7. Shusser, 2000, A model for vortex ring formation in a starting buoyant plume, J. Fluid Mech., 416, 173, 10.1017/S0022112000008727 Shariff, 1992, Vortex rings, Annu. Rev. Fluid Mech., 24, 235, 10.1146/annurev.fl.24.010192.001315 Bond, 2005, Effects of initial geometry on the development of thermals, Exp. Fluids, 39, 589, 10.1007/s00348-005-0997-1 Zaslavskii, 1982, Initial stages in the development of thermals, J. Appl. Mech. Tech. Phys., 416, 173 Diez, 2003, Round turbulent thermals, puffs, starting plumes and starting jets in uniform crossflow, Int. J. Heat Mass Transfer, 125, 1046 Ernst, 1994, Bifurcation of volcanic plumes in a crosswind, Bull. Volcanol., 56, 159, 10.1007/BF00279601 Lagnado, 1984, The stability of two-dimensional linear flows, Phys. Fluids, 27, 1094, 10.1063/1.864755 Hunt, 1990, Rapid distortion theory and the problems of turbulence, J. Fluid Mech., 212, 497, 10.1017/S0022112090002075 Kevlahan, 1997, Nonlinear interactions in turbulence with strong irrotational straining, J. Fluid Mech., 337, 333, 10.1017/S0022112097004941 Taylor, 1934, Evolution of disturbance in stagnation-point flow, Proc. R. Soc., 29, 501, 10.1098/rspa.1934.0169 Caulfield, 2000, The nonlinear development of three-dimensional disturbances at hyperbolic stagnation points: a model of the braid region in mixing layers, Phys. Fluids, 12, 1032, 10.1063/1.870358 Wilson, 1978, The stability of a two-dimensional stagnation flow to three-dimensional disturbances, J. Fluid Mech., 84, 517, 10.1017/S0022112078000300 Criminale, 1994, Evolution of disturbances in stagnation-point flow, J. Fluid Mech., 270, 331, 10.1017/S0022112094004295 Lin, 1984, The mixing layer: deterministic models of a turbulent flow. part 3. the effect of plane strain on the dynamics of streamwise vortices, J. Fluid Mech., 141, 139, 10.1017/S0022112084000781 Craik, 1986, Evolution of wavelike disturbances in shear flows: a class of exact solutions of the Navier–Stokes equations, Proc. R. Soc. Lond. A, 406, 13, 10.1098/rspa.1986.0061 Kida, 1981, Motion of an elliptic vortex in a uniform shear flow, J. Phys. Soc. Japan, 50, 3517, 10.1143/JPSJ.50.3517 Neu, 1984, The dynamics of a columnar vortex in an imposed strain, Phys. Fluids, 27, 2397, 10.1063/1.864543 Philip, 2006, The evolution of a finite amplitude localized disturbance in an irrotational unbounded plane stagnation flow, J. Fluid Mech., 555, 459, 10.1017/S0022112006008950 Whittaker, 2008, The self-similar rise of a buoyant thermal in very viscous flow, J. Fluid Mech., 606, 295, 10.1017/S0022112008001730 Shlien, 1976, Some lamianr thermal and plume experiments, Phys. Fluids, 19, 1089, 10.1063/1.861614 Feng, 2009, Azimuthal instability of a vortex ring computed by a vortex sheet panel method, Fluid Dyn. Res., 41, 10.1088/0169-5983/41/5/051405 Batchelor, 1967 Levinski, 1995, The evolution of a localized vortex disturbance in external shear flows. part 1. theoretical considerations and preliminary experimental results, J. Fluid Mech., 289, 159, 10.1017/S0022112095001285