Momentum balance derivation in equations

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SUMMARY

The discussion focuses on the application of fluid mechanics equations derived for x-direction fluid flow when transitioning to y-direction flow systems. It is established that when applying these equations to vertical systems, additional terms related to gravity (ρgh) must be included. For gas dynamics, body forces like gravity can often be neglected, while in liquid dynamics, gravity is a significant factor. The conversation highlights the importance of considering body forces in chemical engineering contexts.

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  • Understanding of fluid mechanics principles
  • Familiarity with the concept of body forces in fluid dynamics
  • Knowledge of gravitational effects on fluid flow
  • Basic equations of state for gases and liquids
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  • Study the derivation of fluid mechanics equations for different flow directions
  • Learn about the impact of body forces in fluid dynamics
  • Explore the role of gravity in liquid flow systems
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Students and professionals in fluid mechanics, chemical engineering, and anyone involved in the analysis of fluid flow systems, particularly those transitioning between horizontal and vertical flow applications.

Fishinev
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I'm a little confused, in my fluid mechanics course we've covered many equations and they are all derived using an x-direction fluid flow. If I was to use these in a system in which fluid flowed in the y-direction would I have to re-derive them? Or would it be more of a case of using a horizontal system in a vertical direction?
 
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Hi Fishinev! Welcome to PF! :smile:
Fishinev said:
I'm a little confused, in my fluid mechanics course we've covered many equations and they are all derived using an x-direction fluid flow.

Do you mean that the entire flow is horizontal, so that gravity doesn't have to be taken into account?

In that case, if you want to apply the equations to a vertical system, you'll need extra (ρgh) terms to deal with gravity.
 
In that case, if you want to apply the equations to a vertical system, you'll need extra (ρgh) terms to deal with gravity.

If this is a gas dynamics question you can usually ignore body forces such as gravity at chemical engineering scales.

If this is a liquids questions then a body force such as gravity may well come into play.

Remember in chemical engineering other body forces are often also in play.
 

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