Stability and Numerical Simulation of the Liquid Metal Pinch Using the Shallow Water Approximation
作者单位：Institut für PhysikTechnische Universitt Ilmenau Fakultt MaschinenbauTechnische Universitt Ilmenau Moeller GmbHHein Moeller Str.7-11D-53115 BonnGermany
会议名称：《The Fifth International Conference on Fluid Mechanics》
会议日期：2007年
学科分类：080103[工学-流体力学] 08[工学] 0801[工学-力学（可授工学、理学学位）]
摘 要：In the reference[***,***,***,***(a|¨)tzschmar,***,Stability Analysis of the Liquid Metal Pinch Using the Shallow Water Approximation,in Fifth International pamir Conference on Fundamental and Applied MHD,Ramatuelle,France-2002,Vol.1,p.I-51～I-56],a simple physical model for a cylindrical jet of liquid metal passed through by an axial electrical current is introduced and its corresponding mathematical model based on shallow water approximation is *** this paper,the MHD pinch instability is analyzed and compared with results from reference,and hence to guide the application of MHD pinch in construction of electric current switch. Besides this a pseudo spectral method is used to successfully simulate the time evolution of the pinch *** numerical calculations showed that the nonlinear phase of the pinch process is very *** starts approximately with a relative perturbation about 1/10 and needs around 0.2ms for GaInSn with a radius of R=1cm and an overload factor of 10 above the critical current density. The shortness of the nonlinear phase is due to a strong self—acceleration of the *** one wants to use the shortness of the nonlinear pinch phase the geometrical design of the switch has to give an initial narrowing of the current path by at least one tenth of the radius.