Stabilization of Viscosity on Rayleigh-Taylor Instability in Z Pinches

On the basis of incompressible viscid magnetohydrodynamic equations, a formula is developed to study the mitigation of viscosity on the Rayleigh-Taylor instability in Z pinches. The results indicate that in the whole wavenumber region, the viscosity effect can mitigate the instability. In addition, we compare the viscosity effect with the finite Larmor radius effect Chin. Phys. Lett. 19 (2002) 217, and the calculation results show that in the temperature region of interest, the former is stronger than the latter. Moreover, for heavy wire-array implosion the viscosity effect is stronger than the finite Larmor radius one, because the former is proportional to m^1/2_i and the latter is independent of m_i.