discuss the different types of energies possessed by a flowing liquid.erive an expression for the total energy per unit mass of a flowing liquid.
http://hyperphysics.phy-astr.gsu.edu/hbase/press.html
In other words Bernoulli's equation is basically conservation of energy
(1/2) rho v^2 + rho g h + p = constant = energy per unit volume
divide by density rho
(1/2) v^2 + gh + p/rho = constant =
energy per unit mass
When it comes to a flowing liquid, there are several types of energy associated with it:
1. Kinetic Energy: This is the energy possessed by the liquid due to its motion. It depends on the mass of the liquid and its velocity. The formula for kinetic energy is given by the equation KE = (1/2)mv^2, where KE represents kinetic energy, m is the mass of the liquid, and v is its velocity.
2. Potential Energy: This energy is associated with the height or position of the liquid. It depends on the gravitational force acting on the liquid, its height from a reference point, and its mass. The formula for potential energy is given by the equation PE = mgh, where PE represents potential energy, m is the mass of the liquid, g is the acceleration due to gravity, and h is the height of the liquid from the reference point.
3. Pressure Energy: This energy is associated with the pressure exerted by the fluid. It depends on the pressure at a particular point within the liquid and the volume of the liquid. The formula for pressure energy is given by the equation PE = P/(ρg), where PE represents pressure energy, P is the pressure at a particular point, ρ is the density of the liquid, and g is the acceleration due to gravity.
The total energy per unit mass of a flowing liquid, also known as specific energy, can be derived by summing up the above energies:
Total Energy per unit mass (E) = Kinetic Energy per unit mass + Potential Energy per unit mass + Pressure Energy per unit mass
E = (1/2)v^2 + gh + P/(ρg)
Note: Deriving the specific expression for the total energy per unit mass of a flowing liquid involves considering the Bernoulli's equation and the principles of fluid mechanics.