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

Clippers, WHAT IS THE DIAGRAM OF TWO LEVEL CLIPPER WITHOUT REFERENCE AND EX...

WHAT IS THE DIAGRAM OF TWO LEVEL CLIPPER WITHOUT REFERENCE AND EXPLAIN

Probability, Suggest an example of a decision from your own experience whic...

Suggest an example of a decision from your own experience which you feel is best treated as a decision without probabilities. What principle of choice would seem appropriate?

Propeller construction, PROPELLER CONSTRUCTION METAL PROPELLERS Mo...

PROPELLER CONSTRUCTION METAL PROPELLERS Most metal propellers have forged alloy blades protected from corrosion by anodising and often further protected by polyurethane en

Biology, Any Biology Modeling software?

Any Biology Modeling software?

Mechanism for dislocation in plastic deformation, Q. Explain the mechanism ...

Q. Explain the mechanism for dislocation in plastic deformation. Ans.  Stresses are acting on dislocation in a crystal that is known as stress field, due to these stress forc

Assignment on risk and return, Assignment on Risk and Return# Stock has bet...

Assignment on Risk and Return# Stock has beta of 1.5 & an expected return 11%. A risk free asset earns 2%. Determine the expected return on a portfolio that is equally invested in

Automatic interior car lights control, hi there, i need to know if its poss...

hi there, i need to know if its possible to create a circuit of automatic interior car lights control

Enthalpy, What is the deference between enthalpy anne internal energy u

What is the deference between enthalpy anne internal energy u

Validation, a web application using any technology that accepts an email ad...

a web application using any technology that accepts an email address and checks if the domain of the email address exists.

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