# Momentum Equation And Its Application Pdf

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Published: 21.04.2021  Don't have an account? A key aim is to demonstrate that it is possible to establish a relatively simple theoretical basis which can give quite accurate and useful information about the performance of such complex machines as jet and rocket engines, the jet pump, and the Pelton turbine. Other examples include flow through a sudden enlargement, a convergent nozzle, a pipe bend, a pipe junction, and a cascade of guidevanes. For each example it is shown how to define a suitable control volume.

## Ch 5 Momentum and forces in fluid flow

Application of the Momentum Equation. In this section we will consider the following examples:. The force due the flow around a pipe bend. Flow round a pipe bend of constant cross-section. Why do we want to know the forces here? Because the fluid changes direction, a force very large in the case of water supply pipes, will act in the bend. ## 6.2: Momentum Equation Application

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Introduce the momentum equation for a fluid Demonstrate how the momentum equation and principle of conservation of momentum is used to predict forces induced by flowing fluids. The lift force on an aircraft is exerted by the air moving over the wing. A jet of water from a hose exerts a force on whatever it hits. In fluid mechanics the analysis of motion is performed in the same way as in solid mechanics - by use of Newtons laws of motion. Account is also taken for the special properties of fluids when in motion. The momentum equation is a statement of Newtons Second Law and relates the sum of the forces acting on an element of fluid to its acceleration or rate of change of momentum. Newtons 2nd Law can be written: The Rate of change of momentum of a body is equal to the resultant force acting on the body, and takes place in the direction of the force. in motion. ¢ The momentum equation is a statement of Newton's Second. Law and relates the sum of the forces acting on an element of fluid to its acceleration or.

## Navier–Stokes equations

The propeller is a mechanical devise that is used to increase the fluid momentum. Many times it is used for propulsion purposes of airplanes, ships and other devices thrust as shown in Figure 6. The propeller can be stationary like in cooling tours, fan etc.

The Navier—Stokes equations mathematically express conservation of momentum and conservation of mass for Newtonian fluids. They are sometimes accompanied by an equation of state relating pressure , temperature and density. The difference between them and the closely related Euler equations is that Navier—Stokes equations take viscosity into account while the Euler equations model only inviscid flow.

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