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

Dsp, relationship between z plane and s plane in bilinear transformation me...

relationship between z plane and s plane in bilinear transformation method

Petroleum Engineering project, I need help About the project I sent and it ...

I need help About the project I sent and it is the third time I am sending so please I really want help

Net present value method: npv, Discounted cash flow methods Net present val...

Discounted cash flow methods Net present value method: NPV It is one of the classic methods of evaluating the investment project. Here each potential projects value is find out its

Actuators , Actuators  The actuator consists of the control surfaces...

Actuators  The actuator consists of the control surfaces and associated servomechanisms, and is used to change the missile attitude and trajectory or flight path.

Request for quote, I need the following corporate finance problems complete...

I need the following corporate finance problems completed in an excel spreadsheet. How much would this cost? 1) An investment project requires a net investment of $100,000. The pr

Operations research 1, oilcois building a refinery to procduce four product...

oilcois building a refinery to procduce four products diesel, gasoline

Aviation legislation - aircraft weighing, AIRCRAFT WEIGHING NOTE:     T...

AIRCRAFT WEIGHING NOTE:     The C.A.A. will consider applications from aircraft constructors and operators to weigh certain types of aircraft on a sampling basis. (i.e. repre

Inspection of casting, Inspection of casting           Visual inspe...

Inspection of casting           Visual inspection         Inspection for dimensional accuracy.            Sound test            Pressure test          Impact te

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