eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences April 2026 38 4 37 46 http://dx.doi.org/10.22147/jusps-B/380401 1554 article VEENU DIXIT 1 ATUL TYAGI 1 DHIRENDRA CHHAJED 1 JAIPAL SINGH 1 Department of Mathematics & Statistics, MLSU, Udaipur 313001 (India) <p>Bianchi type IX bulk viscous cosmological model with barotropic equation of state and dark energy is investigated with the consideration of condition     0 , where  and  are the rest energy density and the tension density of a string cloud respectively. For obtaining deterministic model of the universe we assume that  (shear) is proportional to  (expansion) which leads to m B =&nbsp;A^m, where m is a constant, A and B are metric potentials. The physical and geometrical properties of the model are also discussed.</p> https://ultraphysicalsciences.org/paper/1554/ Bianchi Type IX Bulk Viscosity Barotropic Equation