Nonlinear Rayleigh–Taylor instability of the cylindrical fluid flow with mass and heat transfer

The nonlinear Rayleigh–Taylor stability of the cylindrical interface between the vapour and liquid phases of a fluid is studied. The phases enclosed between two cylindrical surfaces coaxial with mass and heat transfer is derived from nonlinear Ginzburg–Landau equation. The F-expansion method is used to get exact solutions for a nonlinear Ginzburg–Landau equation. The region of solutions is displayed graphically.

[1]  Aly R. Seadawy,et al.  Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow: Part I , 2015, Comput. Math. Appl..

[2]  K. Zakaria Nonlinear dynamics of magnetic fluids with a relative motion in the presence of an oblique magnetic field , 2003 .

[3]  R. Asthana,et al.  Viscous potential flow analysis of Kelvin–Helmholtz instability with mass transfer and vaporization , 2007 .

[4]  B. M. Fulk MATH , 1992 .

[5]  Aly R. Seadawy,et al.  Exact solutions of a two-dimensional nonlinear Schrödinger equation , 2012, Appl. Math. Lett..

[6]  Margaret Nichols Trans , 2015, De-centering queer theory.

[7]  A. H. Khater,et al.  General Soliton Solutions of an n-Dimensional Complex Ginzburg–Landau Equation , 2000 .

[8]  Aly R. Seadawy,et al.  Variational method for the nonlinear dynamics of an elliptic magnetic stagnation line , 2006 .

[9]  Aly R. Seadawy,et al.  Nonlinear Dispersive Instabilities in Kelvin?Helmholtz Magnetohydrodynamic Flows , 2003 .

[10]  D. Hsieh Interfacial stability with mass and heat transfer , 1978 .

[11]  P. Roberts THE EFFECT OF A VERTICAL MAGNETIC FIELD ON RAYLEIGH-TAYLOR INSTABILITY , 1963 .

[12]  B. Antar,et al.  The Rayleigh–Taylor and Kelvin–Helmholtz stability of a viscous liquid–vapor interface with heat and mass transfer , 1995 .

[13]  Doo-sung Lee Nonlinear Instability of Cylindrical Flow with Mass and Heat Transfer , 2003 .

[14]  Aly R. Seadawy,et al.  General soliton solutions for nonlinear dispersive waves in convective type instabilities , 2006 .

[15]  Andrew G. Glen,et al.  APPL , 2001 .

[16]  Aly R. Seadawy,et al.  New exact solutions for the KdV equation with higher order nonlinearity by using the variational method , 2011, Comput. Math. Appl..

[17]  Aly R. Seadawy,et al.  Nonlinear Dispersive Rayleigh–Taylor Instabilities in Magnetohydrodynamic Flows , 2001 .

[18]  Doo-sung Lee Nonlinear Kelvin?Helmholtz instability of fluid layers with mass and heat transfer , 2005 .

[19]  M. Awasthi,et al.  Viscous correction for the viscous potential flow analysis of Kelvin–Helmholtz instability of cylindrical flow with heat and mass transfer , 2014 .

[20]  S. K. Malik,et al.  Nonlinear Kelvin-Helmholtz instability in hydromagnetics , 1985 .

[21]  Aly R. Seadawy,et al.  Traveling wave solutions for some coupled nonlinear evolution equations , 2013, Math. Comput. Model..

[22]  H. J. Kim,et al.  Viscous potential flow analysis of capillary instability with heat and mass transfer , 2008 .

[23]  Aly R. Seadawy,et al.  Nonlinear wave solutions of the three-dimensional Zakharov–Kuznetsov–Burgers equation in dusty plasma , 2015 .

[24]  R. Asthana,et al.  Viscous potential flow analysis of electrohydrodynamic Kelvin–Helmholtz instability with heat and mass transfer , 2010 .

[25]  S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability , 1961 .