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Since the late 1990's observations of type Ia Supernova, our universe ispredicted to experience a late time cosmic acceleration. Theoretical support tothis observation were intended to be built via proposition of a hypotheticalfluid which staying inside the universe exerts negative pressure. Cosmologistshave prescribed many candidates for this exotic fluid so far. In this alley, apopular method is to choose time dependent equation of state parameter $\omega= \frac{p}{\rho}$ and to parametrize it as a function of redshift. Again somecommon families of such parametrizations are constructed among which differentmembers justify different properties of observed universe. Mainly, these weremodel dependent studies which comprise free parameters to be constrained bydifferent observations. In this present article, a new expression for redshiftparametrization is considered and we have constrain its free parameters for twoHubble parameter vs redshift data sets. These data sets are obtained dependingon two basic methodologies known as different ages method and baryonic acousticoscillation method. Different confidence contours for our model are locatedunder the constraints of said data sets. Besides, different thermodynamicparameters related to the evolution of our universe are analysed. It isnotified that our model indicates towards a delayed dark matter model whichmimics EoS = $-1(\Lambda)$ phenomena at the present epoch. Decelerationparameters behaviour's are studied. It is noticed that a possibility of futuredeceleration may occur for this new model. Outcomes for both the data sets arecompared with each other.

Posing Constraints on the Free Parameters of a New Model of Dark Energy EoS : Responses Through Cosmological Behaviours