Workability of a new kinetic energy recovery system proven mathematically

Energy is the main driving force of an economy. Due to which many advancements in renewable energy technology have been witnessed over the decade. However, not all countries have efforts in the same direction and have continued using coal-based technology. These old technologies have a sizable energy wastage in the form of fuel thermal energy (Kinetic Energy). The said wastage can be harnessed by using a specifically designed recovery turbine deployed in the industrial stack. Keeping in mind the same, this research focuses on a mathematical model to develop the best-suited design for the utmost augmentation of the kinetic energy. A Convergent-Divergent nozzle with varying ratios of entry to the throat area (Aent/A*) and exit to the throat area (Ae/A*) were subjected to mathematical formulations. The combinations of Aent/A* and Ae/A* tested were (a)1.489 and 1.256 (b) 1.78 and 1.97 respectively. The results indicate that the combination “b” is a better option owing to the largest velocity augmentation. The maximum velocity at the throat was noted at 3.9 times the inlet velocity, which would result in a larger power output by the turbine positioned there. Post analysis of the Mach number (Ma), it was also concluded that the flow is incompressible, and no shockwaves were seen. The development of such a novel technology would result not only in financial saving for the industries but also reducing the environmental impact due to non-renewable sources of energy.