Observational analysis of bulk viscous cosmological model in f(T) gravity

We applied the newly introduced f ( T ) gravity framework to study cosmological models involving viscous fluids with the FLRW Universe. We assume a bulk viscosity coefficient of the form ζ = ζ 0 H 2 with f ( T ) = α T 2 , where ζ 0 and α are model parameters. We use several observation datasets, such as recent Baryon Acoustic Oscillations (BAO) data, an updated Hubble dataset with 31 point, and 1701 Pantheon+ data point. Our model shows excellent agreement with observational data, and statistical analysis provides the optimal values for its parameters. We also investigate how key cosmological parameters evolve, specifically the deceleration parameter q , density parameter, and equation of state parameter ω eff . Our study suggests that the Universe transitions from a decelerated phase to an accelerated expansion phase. The accelerated expansion is consistent with the EoS parameter, which falls within the quintessence regime − 1 < ω eff < − 1 3 , supporting the current rapid growth. According to our findings, bulk viscosity may be included in the f ( T ) gravity framework to accurately simulate dark energy and is in line with the conventional cosmological scenario.