Continuity equation - ducts and nozzles, Other Engineering

Assignment Help:

Continuity equation

If we consider the machine to be an open-ended duct, we find that the mass flow per second will depend on the density of the fluid and the volume flowing per sec:

644_ducts nozzals.png

Now volume flow = Area of duct x distance travelled (L)/ Time (sec)
But the distance travelled per second = Velocity.
Therefore, Mass flow = density x area x velocity.
This is known as the ‘continuity equation' and it is true for any steady flow system regardless of changes in the cross-sectional area of the duct.

INCOMPRESSIBLE FLUID FLOW.

Now consider an incompressible fluid as it flows through the duct system shown in the fig. 1.7. We know that the mass flow is of a constant value and, naturally, as the fluid enters the larger cross sectional area it will take up the new shape and the initial volume will now occupy less length in the duct. Therefore, in a given time, less distance is travelled and the velocity is reduced.
Thus we conclude that if the mass flow is to remain constant, as it must, an increase in duct area must be accompanied by a reduction in flow velocity, and a decrease in duct area must bring about an increase in velocity; we can express this action as - velocity varies inversely with changes

369_ducts.png


Related Discussions:- Continuity equation - ducts and nozzles

Integrated circuits, Integrated circuits: Integrated circuits, or IC's,...

Integrated circuits: Integrated circuits, or IC's, have changed the entire electronics industry. Before IC's were developed, all electronic circuits consisted of individual (d

Finance help, After five years, what is Judy’s total income (interest par) ...

After five years, what is Judy’s total income (interest par) from each bond? Should she use this total as a way of deciding which bond to purchase?

Measurement of thermocouple voltage, Measurement of thermocouple voltage ...

Measurement of thermocouple voltage The voltage is typically only a few millivolts and should be measured using a high impedance system. If an amplifier is used, must also have

Process control, sir how can I find the transfer function of control valve

sir how can I find the transfer function of control valve

What is the difference between real money & nominal money?, What is the dif...

What is the difference between real money & nominal money?  Moderate cash is relevant to the evaluate of keeping track of. nominal figure is what is published on the expenses. w

Fire prevention - fire risk assessment, Fire prevention - fire risk assessm...

Fire prevention - fire risk assessment: Fire prevention measures include: Reducing the combustible materials, Reducing the risk of ignition, Reducing

Flames obtained in an oxyacetylene gas welding process, Q.  Describe the t...

Q.  Describe the types of flames obtained in an oxyacetylene gas welding process giving the applications. There are three types of flames in the gas welding on the base of the

Slipstream effect - propeller, Slipstream Effect. In passing through th...

Slipstream Effect. In passing through the propeller the air is accelerated and given a rotational velocity. The parts of the aircraft that are in the propeller slipstream wi

Define the term technology, Question 1 Define the term technology. Write a...

Question 1 Define the term technology. Write a effective short note on evolution and growth of technology Question 2 Citing an example, state and explain the reasons that com

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd