Second-kind self-similar solutions to a problem of converging cylindrical shock waves in magnetogasdynamics are investigated.Two trial functions suggested by Chisnell and the shooting method of Landau–Stanyukovich ar...Second-kind self-similar solutions to a problem of converging cylindrical shock waves in magnetogasdynamics are investigated.Two trial functions suggested by Chisnell and the shooting method of Landau–Stanyukovich are used to determine the similarity exponent for different values of specific heat ratioγand the parameter k,where kın(0,1].Detailed analyses of flow patterns for different values of adiabatic heat exponent and magnetic field strength are carried out.It is observed that the general behavior of the velocity and density profiles is not affected in a magnetogasdynamics regime whereas there is an increase in the absolute value of the flow parameters with an increase in the magnetic field strength.However,the pressure profiles are greatly affected by the magnetic field interaction.展开更多
A scheme is developed to study numerical solution of the time-fractional shock wave equation and wave equation under initial conditions by the homotopy perturbation method(HPM).The fractional derivatives are taken in ...A scheme is developed to study numerical solution of the time-fractional shock wave equation and wave equation under initial conditions by the homotopy perturbation method(HPM).The fractional derivatives are taken in the Caputo sense.The solutions are given in the form of series with easily computable terms.Numerical results are illustrated through the graph.展开更多
文摘Second-kind self-similar solutions to a problem of converging cylindrical shock waves in magnetogasdynamics are investigated.Two trial functions suggested by Chisnell and the shooting method of Landau–Stanyukovich are used to determine the similarity exponent for different values of specific heat ratioγand the parameter k,where kın(0,1].Detailed analyses of flow patterns for different values of adiabatic heat exponent and magnetic field strength are carried out.It is observed that the general behavior of the velocity and density profiles is not affected in a magnetogasdynamics regime whereas there is an increase in the absolute value of the flow parameters with an increase in the magnetic field strength.However,the pressure profiles are greatly affected by the magnetic field interaction.
文摘A scheme is developed to study numerical solution of the time-fractional shock wave equation and wave equation under initial conditions by the homotopy perturbation method(HPM).The fractional derivatives are taken in the Caputo sense.The solutions are given in the form of series with easily computable terms.Numerical results are illustrated through the graph.
