Continuity equation - ducts and nozzles, Other Engineering

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

Posted Date: 9/11/2012 7:04:46 AM | Location : United States







Related Discussions:- Continuity equation - ducts and nozzles, Assignment Help, Ask Question on Continuity equation - ducts and nozzles, Get Answer, Expert's Help, Continuity equation - ducts and nozzles Discussions

Write discussion on Continuity equation - ducts and nozzles
Your posts are moderated
Related Questions
routing sheet for rh shaft


why should an aircraft maintenance technician be familiar with weld nomenclature

original temp. of plate is 25 degree c.when put in burnace its upper part is 250 c and lower is 100 and mass is 56kg.find out heat transfer

Power Engine: Power producing engines come in two main forms Turboprop and turboshaft. a. Turboprop Engines. Turboprop engines extract most of the energy from the gas stream


2. Write a MATLAB program to perform discounted reward value iteration. Show me the MATLAB code and also an output from your code for solving the problem provided in the data above

how rayleigh scattering occurs in optical fiber cable

Can you guys Solve Unit Operations Problems in Chemical engineering