Nonplanar converging and diverging shock waves in the presence of thermal ions in electron-positron plasma

Shah, Asif; Saeed, R.; Noaman-ul-Haq, Muhammad
July 2010
Physics of Plasmas;Jul2010, Vol. 17 Issue 7, p072307
Academic Journal
The cylindrical and spherical Korteweg–de Vries–Burger equations have been derived to study the ion acoustic converging and diverging shock waves. The considered plasma is comprised of inertialess electrons, positrons, and inertial thermal ions. It is noticed that the ion temperature, positron concentration, and kinematic viscosity have significant influence on the shock structure and propagation in nonplanar geometries. The strength of shock in spherical geometry is found to dominate over shock strength in cylindrical geometry. The shock wave strength and steepness escalate with time as it moves towards the center and shock enervates as it recedes away from center. The graphical view of the numerical results is presented for illustration. The results may have relevance in the inertial confinement fusion plasmas.


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