Login or Sign Up

Ask a New Question

Bernoulli's equation for steady motion to an incompressible non-viscous fluid is given by p+1/2pv^2+pgh=constant

And explain the three terms on the left hand side of the equation

google Bernoulli's equation

for explanations and discussions and examples

Did you know?

Bernoulli's equation for steady motion of an incompressible non-viscous fluid reveals an interesting relationship between pressure, velocity, and elevation in a fluid system. The equation, expressed as p + 1/2pv^2 + pgh = constant, consists of three terms on the left-hand side that depict different physical properties. 1. The first term, 'p,' represents the static pressure of the fluid. It is the pressure exerted by the fluid at a particular point in the system, irrespective of its motion. 2. The second term, '1/2pv^2,' refers to the kinetic pressure or dynamic pressure. This term represents the energy associated with the fluid's velocity. As the fluid speeds up, its kinetic pressure increases, and as it slows down, its kinetic pressure decreases. 3. The third term, 'pgh,' illustrates the potential pressure or gravitational pressure. It accounts for the potential energy of the fluid due to its elevation above a reference point. The 'p' is the fluid density, 'g' represents the acceleration due to gravity, and 'h' denotes the height or vertical distance. These three terms combined in Bernoulli's equation together demonstrate the conservation of energy in a fluid system, where the sum remains constant along the streamlines of the fluid flow. Understanding this equation helps in analyzing and predicting fluid behavior in various applications, such as in aviation, hydrodynamics, or even simple everyday scenarios like water flowing from a tap.