The Network-on-Chip (NoC) stands as a potent solution for achieving heightened performance, efficient communication, and dependability in the migration of Very-Large Scale Integration (VLSI) architecture toward deep submicron technology, when contrasted with conventional connectivity networks. Considerable research endeavours have been allocated to diverse facets of NoCs, encompassing topology, routing algorithms, traffic behaviours, power management, and fundamental mapping. This paper explores the power consumption efficiency of Parameterized Path-Based, Randomized, Oblivious, Minimal for 3D Mesh (PROM3D) routing and ZXY routing algorithms for various traffic patterns like transpose, bit shuffle, and random traffic with the help of the integrated DSENT network model. The PROM3D routing algorithm selects a path randomly from all possible minimal pathways between the source and destination, whereas ZXY is a layer-based routing method. The Design Space Exploration of Network (DSENT) tool is used with the NoC Interconnect Routing and Applications Modeling (NIRGAM) simulator in experiments to measure the power consumption. The findings indicate that, within the 3D-Mesh environment, the ZXY routing algorithm exhibits a 0.02% of variation in power consumption while in saturation on varying loads for various traffic patterns in comparison to the PROM3D algorithm.