Bulk viscous Kantowaski-Sachs Space-time with H(z) parameterization

In this paper, we investigate the Kantowski-Sachs cosmological model with a perfect fluid within the framework of Teleparallel gravity, specifically gravity, where represents the torsion scalar. The behavior of the accelerating universe is explored by adopting a specific form of and establishing a relationship between the metric potentials, . By employing the Hubble parameterization method, we derive an exact solution to the field equations that supports an accelerating universe. The physical behavior of the model is analyzed through key physical quantities, and the functional dependence of the torsion scalar on the evolution of the universe is also evaluated.