Work Done by Pressure in Navier-Stokes Equation:
Pressure forces in fluid flow contribute to the work done by a fluid. In the Navier-Stokes equation, the pressure gradient term signifies the force per unit volume acting on the fluid. This force results in work being done on the fluid, which can manifest in various forms, such as potential energy changes or kinetic energy gains. The work done by pressure is a fundamental component in understanding the dynamics of fluid motion and is essential for analyzing fluid behavior in pipes, channels, pumps, turbines, and other fluid engineering applications.