Abstract Details


Name: Akshita Bhardwaj
Affiliation: IIT ROORKEE
Conference ID: TVS202510220
Title: Shock waves caused solar winds - A Mathematical analysis
Authors and Co-Authors:
Abstract Type: Contributory Presentation
Abstract: Solar winds from the Sun interact with planetary magnetospheres, causing shock waves. We have studied the dynamics of these shocks using Lie group theoretic methods, obtaining similarity solutions for both power and exponential law shock paths. It is interesting to note how the wave dynamics evolve with time. The models considered are one dimensional, unsteady, and adiabatic magnetogasdynamic and classical ion fluid equations. The medium around these shocks is taken as a perfect dissipationless gas with dust particles. The dust is assumed to consist of small solid particles distributed continuously. The dust’s inertia and its solid-phase behavior strongly influence the wave propagation. The analysis has been done on Earth and Saturn. It appears that raising the mass fraction of the dust does not alleviate the shock front. We have done an extensive parametric analysis that considers physical parameters. Their roles are explored both qualitatively and quantitatively. In the power-law regime, pressure and density trends sometimes reverse compared to the exponential law under variations in dust loading parameter, dust-to-gas density ratio, symmetry, adiabatic index, and Mach number, illustrating the dependence of shock strength on energy deposition laws. Theoretical results are supported with detailed graphical interpretation.