Energy Conservation for Fluids and Radiation Beams Using Pressure Notion to Account for Thermal, Mechanical, and Frictional Collisional Energy

Abstract

One of the most challenging problems is energy conservation for systems which consist of aggregates of particles, such as fluids and radiation beams, as well as their interaction through collision and friction. The lack of a usable energy expression for this system that accounts for mechanical and thermal interactions makes it challenging to describe. The effect of thermal, mechanical, collision, and friction processes on the system energy was taken into consideration using the fluid momentum equation in this study. We can incorporate all of these processes using the concept of pressure, which is analogous to the concept of potential. We have found a conserved expression for energy using this viewpoint. This equation also includes thermal, mechanical (sound), and frictional pressures besides the frenetic and potential terms. It reduces to newton ordinary energy formula in the absence of pressure. We have also generalized the ordinary gas low to account for non-thermal mechanical pressures.