Experimental study and thermal analysis of a Gamma type Stirling engine for multi-objective optimization

A multi-objective optimization and thermal analysis is performed by both experimental and numerical approaches on a Stirling engine cooler and heater. The power generated is measured experimentally by an electrical engine coupled with the crank case, and the friction is estimated by the difference between the necessary power used for rotating the engine at a specific pressure and speed, versus the actual power measured experimentally. In the experimental approach, different conditions were considered; for example, the charge pressure varied from ۵-۹ bars, and the engine speed varied from ۲۸۶-۱۱۴۶ rpm. The maximum power generated was ۴۶۱.۳ W and was reported at ۹ bars of charge pressure and ۱۱۴۶ rpm engine speed. Numerical approach was carried to simulate thermal balance for investigations on the effect of friction, engine speed and efficiency on generated engine power. Average values of Nusselt number and coefficient of friction were suggested from simulation results. The multi-objective optimization was held using DOE method for maximizing engine efficiency and power, and also minimizing pressure drop. The top and bottom boundary values for our optimization were ۵-۹ bars of pressure and ۲۸۶-۱۱۴۶ rpm of engine speed; for both helium and carbon dioxide. To do so, all three significance factors (engine speed, efficiency and friction) were given different weights, thus different combinations of weight value was investigated Amongst different interesting findings, results showed that if the efficiency weight factor changed from ۱ to ۳, for helium in a specific condition, the optimum engine speed would increase by approximately ۳۰.۶ %