A Non-Linear Type Equation of State and Cosmic Fluid Dynamics

In this chapter we have introduced a special type of non-linear equation of state to discuss the cosmological evolution mechanism. The new equation of state is a four parameters model which can be represented as $p=A\rho +B{\rho }^2-\frac{C}{{\rho }^{\alpha }}$ where $B=A\beta -\gamma$. The evolution of universe have been interpreted by fluid dynamics. The reconstruction of Chaplygin gas and Van-Der-Waals (VDW) fluid equation of states have been done from the parametric analysis of this new non-linear model. Different cosmological phases like Quintom, Quintessence and warm universe have been discussed here. Finally, we have provided a comparative studies of this model with other non-linear fluid solutions.