What Is the Correct Equation for Fluids Momentum Balance?

AI Thread Summary
The discussion centers on deriving the correct momentum balance equation for fluid flow across a sieve tray, particularly focusing on the relationship between liquid depths in different flow regions. The proposed equation involves mass flow rates, pressure differences, and velocities, but the user is struggling to arrive at the correct final form. A specific scenario is presented, where values for liquid depth, velocity, and density ratios are given, prompting a request for physical interpretation and equation formulation. The user seeks clarity on how to accurately represent the physical phenomena occurring in the sieve tray system. Understanding these dynamics is crucial for solving the momentum balance accurately.
chemengineer23
Messages
4
Reaction score
0

Homework Statement


Attached document

Homework Equations


m(flow)*(v1-v2)+P1A1-P2A2

The Attempt at a Solution


I did a mass balance to plug into the momentum balance, but I am not getting the final equation correct.
 
Physics news on Phys.org
Sorry, there was no document attached to your post. :(
 
The figure below illustrates the flow pattern on a sieve tray operating at a high liquid flow rate with a gas that is negligibly absorbed in the liquid. The liquid flows from left to right across the tray. the region AB is where the velocity of the clear liquid is uL and the density is pL. The perforations I the sieve part of the tray) begin at point B, and BC is the froth zone with velocity uF and density pF. Show that the liquid depths in the two regions are related by (hF/hL)^3*(pF/pL)-hF/hL(1+(2uL^2/ghL))+2(uL^2)pL/ghFpF=0

What is the value hF when hL= 0.2 ft, uL= 0.5 ft/s, pF/pL= 0.5
 

Attachments

Please tell us what is happening physically, as you assess it. Please also show us what you did to capture this physical assessment in terms of equations.

Chet
 

Similar threads

Back
Top