Solving the Continuity Equation

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Homework Help Overview

The discussion revolves around the continuity equation in fluid dynamics, specifically in the context of jet engines and their thrust generation. Participants are exploring how to apply the continuity equation to explain the mechanics of jet propulsion and its relationship with Bernoulli's equation.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants express confusion regarding the specific continuity equation to use and its application to jet engines. There are attempts to clarify the equation's form and its implications for fluid flow, particularly in relation to changes in cross-sectional area and velocity.

Discussion Status

Some participants have shared their understanding of the continuity equation and its basic form, while others are still seeking clarity on how to connect it with Bernoulli's equation. There is an ongoing exploration of the concepts without a clear consensus on the application to the jet engine problem.

Contextual Notes

Participants note that the assignment lacks specific details about which continuity equation to use, leading to confusion. There is also mention of external resources that may aid in understanding the equations involved.

kinglk
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i do not understand how the continuity equation works?
 
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What continuity equation do you refer to?I can think of 2 or maybe more,but u need to be more specific.

Daniel.
 
that is the problem that i have ran into. on my assignment it does not say. it just ask us to use coninuity equation to explain how jet engines provide a forward thrust for an airplane? i have tried to research it but i am still lost.

part 2 of the question ask us to use Bernoulli's equation and explain hoe it relates to continuity equation?
 
This equation

\frac{\partial\rho\left(\vec{r},t\right)}{\partial t}+\nabla\cdot\left[\rho\left(\vec{r},t\right)\vec{v}\left(\vec{r},t\right)\right]= 0

Daniel.
 
kinglk said:
that is the problem that i have ran into. on my assignment it does not say. it just ask us to use coninuity equation to explain how jet engines provide a forward thrust for an airplane? i have tried to research it but i am still lost.

part 2 of the question ask us to use Bernoulli's equation and explain hoe it relates to continuity equation?

Hello, am study Continuity Equation right now for my problem Solving Class at ITT Tech
The Continuity Equation was give in the book. A1V1=A2V2 where A1 is the cross-sectional area at point 1, V1 is the velocity of the fluid at point 1, A2 is the cross-sectional area at point 2, and then V2 is the velocity of the fluid at point 2. Like you I stuck on Skill Level Problem II about using the equation to explain how jet engines provide forward trust for an airplane.

The Bernoulli's Equation and I still search for the equation but I think I end up using the one from Engineering Tool Box. The link is http://www.engineeringtoolbox.com/bernouilli-equation-d_183.html. I hope this helps but if you already finish maybe you can send help on the jet engine problem.
 
Last edited by a moderator:
kinglk said:
that is the problem that i have ran into. on my assignment it does not say. it just ask us to use coninuity equation to explain how jet engines provide a forward thrust for an airplane? i have tried to research it but i am still lost.

The equation of continuity in fluid dynamics is used when a fluid flows through an area which is then changed. The total flow remains constant i.e. volume per unit time is constant.

In equation form this is

A1v1=A2v2

How would A2 have to be with respect to A1 for there to be an increase in velocity?

kinglk said:
part 2 of the question ask us to use Bernoulli's equation and explain hoe it relates to continuity equation?

Loneliheart posted a link that should prove to be helpful.
 
This ol' thread is locked. (And by "old", I mean that literally.)
 

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