Reduction of growth rate of Rayleigh-Taylor instability using nano-structured porous lining at ICF target shell

Abstract

In the present paper, the role of the nano-structured porous lining is being considered on the control and the decrease of the growth rate of the Rayleigh-Taylor instability (RTI) at the ablative surface of a target shell in inertial confinement fusion. For this reason, the dispersion relation for the growth rate of the Rayleigh-Taylor instability is extracted. Although the Rayleigh-Taylor instability takes place in two phases (acceleration and deceleration phases), in this study this instability is considered only in the acceleration phase using the linear stability analysis. Knowing that the porous layer absorbs the energy of the fluid and dampens the system, the growth rate of RTI for different porous linings is explored and the porous parameter for these nano-structured porous linings are calculated. It has been shown that with a decrease in the value of the Bond number, the growth rate versus wave number decreases, and an increase in the value of the permeability increases the growth rate of RTI. Finally, it is shown that an increase in the amount of the porous parameter causes the decrease of the growth rate of RTI.