# Momentum Equation

### Figure - Momentum equation

Hydraulics Prof. B.S. Thandaveswara Indian Institute of Technology Madras For gradually varied flow, the values of P 1 and P 2 in the momentum equation may be computed by assuming a hydrostatic pressure distribution.

### d d (1) where V is the mass in the cell and C

CFD 5 – 1 David Apsley 5. THE MOMENTUM EQUATION SPRING 2012 5.1 Scalar-transport equation for momentum 5.2 Pressure-velocity coupling 5.3 Pressure-correction methods

### Conservation of Mass and Momentum

First, a Galilean transformation is a linear operation while theEulerian description makes the momentum equation quasi-linear. Thus, it is not obvious that the fluid mechanics equations of motion are invariant undera Galilean transformation.

### 28.3 Momentum equation

Hydraulics Prof. B.S. Thandaveswara Indian Institute of Technology Madras Sarma and Newnham 1975 introducing the momentum coefficient (j 1.045 β=) for the non uniform velocity distribution obtained the following modified momentum equation (28.3) ⎡⎤ =+ − ⎢⎥ ⎣⎦ y 1 2 2 1 10.4 ...

### Topic 9: The Impulse-Momentum Principle

By combining the impulse-momentum equation with the RTT applied to mass (i.e., the continuity equation), we are able to solve many complex fluids problems, ...

### BOUSSINESQ-TYPE MOMENTUM EQUATIONS SOLUTIONS FOR STEADY ...

A DVANCES IN H YDRO -S CIENCE AND -E NGINEERING , V OLUME VI 1 BOUSSINESQ-TYPE MOMENTUM EQUATIONS SOLUTIONS FOR STEADY RAPIDLY VARIED FLOWS Yebegaeshet T. Zerihun 1 and John D. Fenton 2 ABSTRACT The depth averaged Saint-Venant equations are adequate in simulating free surface flows with ...

### Lab 5 Impact Momentum

Plot a chart of mass applied vs. calculated mass (from momentum equation). What should this plot look like? How close are you to this? What factors could have made it so your graph does or does not match what it should? 2.

### The momentum equation and the hydraulic jump

Chapter 3: The momentum equation for open-channel flow 3.2 credible job of describing the changes to the flow. When supercritical flow changes to subcritical flow, however, there is no smoothing of the water surface upstream of the transition because the high downstream velocity prevents ...

### Moment of Momentum Equation (Conservation of Angular Momentum)

2 itself has a sign (as does linear momentum), which arises from the~r ~vtermsowemust track two signs, which may cancel each other out. We note that our sign convention for the sign of angular momentum is the same as we used for torque, namely the right-hand-rule with a counter-clockwise sense ...

### Linear Momentum

42 ¨ Copyright ç 1998 Richard Hochstim. All rights reserved. Terms of use. Bernoulli's Equation Bernoulli's Equation describes the relationship between pressure, velocity, and height in a fluid as it moves through a tube, but it is also applicable to fluids that flow around objects such as air ...