Recent Updates


Till now we were discussing the various concepts and equations such as continuity equationEuler equationBernoulli’s equation and momentum equation for incompressible fluid flow. In same way we have also discussed above equations for compressible fluid flow. 

We have already seen the derivation of continuity equationBernoulli’s equationmomentum equationvelocity of sound in an isothermal process, expression for velocity of sound in an adiabatic process and also the basic fundamentals of stagnation properties i.e. stagnation pressure,stagnation temperature and stagnation density for compressible fluid flow in our previous posts. 

Now we will discuss the area velocity relationship for compressible flow with the help of this post. 

Area velocity relationship for compressible flow 
As we know that for incompressible fluid, continuity equation provides the relationship between area and velocity and it is as mentioned here.
Area x velocity = constant
A x V = Constant

We can conclude from above equation that velocity will be decreased with increase in area. If we consider for compressible fluid flow, above equation will not be valid. 

Continuity equation for compressible fluid will be given by following equation as mentioned here. 

ρ x A x V = Constant

We can conclude from above equation that velocity and density both parameters will be affected with variation in the value of area. 

Let us differentiate the continuity equation of compressible fluid and we will have following equation as mentioned here. 

Let us recall the Euler’s equation as mentioned here.
Now we will neglect the term z and we will have following equation
Now we will recall the expression for the velocity of sound wave in a fluid as mentioned here.
Considering the above equation of velocity of sound wave in a fluid, we will have following equation as mentioned here.
Above equation shows the variation of area with variation of velocity for different mach numbers. 

We will discuss now force exerted by jet on stationary vertical plate in our next post. 

Do you have any suggestions? Please write in comment box. 


Fluid mechanics, By R. K. Bansal 
Image courtesy: Google  

Also read  


  1. It is the best portal to pay bills online within minutes without any complications. It avails maximum possible flexibility to users to complete their tasks in real quick time. Apart from bill payments it also avails most popular and reputed brands products to customers in affordable prices. PayTM came into existence in 2010. hso review

    1. Please provide the comment according to the content of pages

  2. By having the option to pursue the understandings Mediation for single parents, the two gatherings can recognize the significance of the relationship and stick to what they have chosen were essential to the them two. By having similar qualities, it turns into much simpler to keep up a sound relationship.

  3. So my dear relationship issues are really one of the highlights of relationship. Despite the fact that you are allowed to implore not to have these issues at everything except my genuine guidance is that you ought to make a space for it in your heart. cuckold websites

  4. Would you like have a psychic reading? Allow me to share six things to know before locating a psychic and receiving a reading. tarot near me

  5. What dictates our relationship with God? Do we seek out the golden calf of our times just to have something to worship or do we simply rely on cosmic fate and destiny? Where do we go to increase our faith: fallible man or infallible God? What does it mean to fall out of faith and why does it happen? Signs he doesn't want a relationship with you

  6. Very useful post. This is my first time i visit here. I found so many interesting stuff in your blog especially its discussion. Really its great article. Keep it up. Relatietherapie Zaandam