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

Determine payback and npv, Payback & NPV Julia Corp. is in the business o...

Payback & NPV Julia Corp. is in the business of making sugar cookies. The company is considering the purchase of a new cookie making machine which will improve its manufacturing

#pareto, how to crate pareto charts eith matlab?

how to crate pareto charts eith matlab?

Basic electronics, A car battery is of 12 v. eight dry cells of 1.5 v each ...

A car battery is of 12 v. eight dry cells of 1.5 v each connected in series can give 12 v. but such cells are not used in starting a car. why?

Welding, what is causes of submage arc welding

what is causes of submage arc welding

Depletion mode mosfet, DEPLETION MODE MOSFET: In the depletion-mode typ...

DEPLETION MODE MOSFET: In the depletion-mode type, charge carriers are present in the channel at "Zero" gate bias and the device is, therefore, conducting.  The application of

FISICA, EL DESPLAZAMEINTO DE UNA PARTICULA ESTA DADO POR S=(-2+3T)e¨-0.5t

EL DESPLAZAMEINTO DE UNA PARTICULA ESTA DADO POR S=(-2+3T)e¨-0.5t

Enhancement mode mosfet, ENHANCEMENT MODE MOSFET In the enhancement-mod...

ENHANCEMENT MODE MOSFET In the enhancement-mode type, the gate must be forward biased to produce charge carriers in the channel. These devices are normally of and do not condu

Coding system, What is the possible problem if there is more than one part ...

What is the possible problem if there is more than one part having the same code?

Electronics, explain compensated semiconductors

explain compensated semiconductors

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