A Numerical Study on Nonlinear Free Boundary Problems

Abstract

Because of its connection to applied sciences, interest in non-Newtonian fluids has remarkably increased during the past several years. On a fundamental level as well as in a few current cycles, the evolution of these fluids is anticipated to play a significant role. The smaller-than-normal polar fluids distinguish themselves among the many non-Newtonian fluids sufficiently to be recognized in light of their uses in polymeric assembly, material care, and biotechnology. These liquids are used in a variety of essential liquids used today, including paints, ointments, polymers, human and animal blood, colloidal suspensions, and liquid gems. Appropriate. Current work to investigate the effects of various constraints on current and power has been completed for the kinetic properties of reduced polar liquids for a wide range of applications for these liquids. Because they are not straight in nature, the circumstances governing the movement of tiny polar fluids cannot be addressed experimentally. The numerical technique is appropriately the fundamental choice for handling such difficulties. These problems can be solved using a variety of numerical techniques, including: B. Semi-linearization, finite partial method, finite certification system, shooting strategy, underground box strategy, etc. For advanced research, we used a finite partial and a quasi-linearization approach.