In this presented work, we execute a statistical data analysis on the viscous models of non-perfect fluid with a viscosity profile ξ=ξ0+(ξ1−ξ2q)H as well as by taking an equation of state (EOS) characterized by inhomogeneity p=ωρ+Λ(t) and ω=α−1, in the absence of any non-canonical dark energy term with different observational datasets. For the validation of the theoretical study, we carry out Monte Carlo Markov Chain (MCMC) analysis using recent Hubble H(z), DESI BAO and the Pantheon Plus (PP) datasets to derive the values of constraints. The best-fit results exhibit robust cross-dataset agreement and remain in full agreement with the parameters inferred within the ΛCDM model.
Patel et al. (Fri,) studied this question.