Optimized Irreversible Low Dissipation Carnot Like Heat Engine

Abstract

In this study, the irreversible low dissipation of a Carnot-like heat engine under the consideration of a Brownian particle was optimized. Irreversible heat engine is actual heat engine in which non-zero power and its efficiency is less than Carnot efficiency. A Proper objective function for the model engine has been derived from the optimized period to compute optimized power and optimized efficiency. The model engine possesses two isothermal and two adiabatic processes. Both optimized power and efficiency have been scaled with respect to their values at maximum values. The experimental value of =0.25 and theoretical values of cold dissipation parameter set to 1 = 1.5 and hot dissipation parameter vary in the process. It was observed that when the values of varied from 0.25 onwards, the scaled power generally increased. As the dissipation parameter, , increased from 2.2 to 6.2, scaled power was found to decrease, except around lower and higher values. The scaled efficiency versus was also studied. When the values of increased, it was found that the scaled efficiency was also increased. Farther, as increased from 2.2 to 62.2, at constant , there was an increase in scaled efficiency. The figure of merit, a quantity that signifies the overall performance of the heat engine, has been defined for the heat engine as . The figure of merit slowly increased when the values of increased. As increased from 2.2 to 6.2, the figure of merit decreased. It was well observed that the figure of merit was greater than one at > 0.65. This shows that the engine would operate in the optimized mode. However, for <65, the figure of merit was found to be less than one. This indicates the model engine operates better in the maximum power mode of operation in the range.