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

Matlab, Provided a 1D array of integers, find all combinations of 3 values ...

Provided a 1D array of integers, find all combinations of 3 values from this set such that: a+b+c=0 For example, if one were provided with the set [3 1 3 -4 -6], the resulting answ

Material science and engineeing, cite advantages of forming metal by extrus...

cite advantages of forming metal by extrusion as opposed to rolling

Financial strategy and operations, Q. A. Microfinance case How would you va...

Q. A. Microfinance case How would you value the price of a Microfinance Institution? Using data available on the net, explain what would you consider the value of SKS (India) or Co

Commercial buildings - fire protection engineering, Commercial buildings - ...

Commercial buildings - fire protection engineering: The term 'commercial buildings' refers to any buildings that are not residential buildings and that do not fall under the m

Chemistry, what is the role of chemistry in engineering

what is the role of chemistry in engineering

Difference between fin and swell, Difference Between Fin and Swell    ...

Difference Between Fin and Swell          Swell : The unintentional bulges found on the casting surfaces are known as swells. Such enlargements on the casting surface are cau

Caselet- 2, suggestion regarding credit limit. should it be approved or not...

suggestion regarding credit limit. should it be approved or not what should be the amount of

Aerodynamics-influence on transition, Influence on transition Reynold...

Influence on transition Reynolds number - relates importance of viscousforces (relative to inertia) Lower Re - molecular diffusion more important; disturbances damped out

Shadow detection and removal, #question.Can you please suggest a method in ...

#question.Can you please suggest a method in MATLAB for shadow detection and removal.

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