Ergun equation for beds + rising fluid + potential energy

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SUMMARY

The discussion centers on the application of the Ergun equation in scenarios involving upward fluid flow through packed beds. It is confirmed that when calculating the pressure drop, the potential energy term ΔP/Δz = -ρg/gc must be subtracted from the Ergun equation's pressure drop ΔP/Δz. This adjustment accounts for the additional pressure drop due to the fluid working against gravity, resulting in a greater overall pressure drop when fluid is pumped upward.

PREREQUISITES
  • Understanding of the Ergun equation and its application in fluid dynamics.
  • Knowledge of fluid mechanics principles, particularly pressure drop calculations.
  • Familiarity with concepts of potential energy in fluid systems.
  • Basic grasp of gravitational effects on fluid flow.
NEXT STEPS
  • Research the detailed formulation of the Ergun equation for packed beds.
  • Study the effects of potential energy on fluid flow in vertical systems.
  • Explore advanced fluid dynamics concepts related to pressure drop in upward flow.
  • Learn about computational fluid dynamics (CFD) simulations for packed bed systems.
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Engineers, researchers, and students in the fields of chemical engineering, mechanical engineering, and fluid dynamics who are working with fluid flow in packed beds and need to understand pressure drop calculations in vertical systems.

maistral
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TL;DR
Do I add the potential energy term?
I am quite familiar with the Ergun equation's formulation.

My question is, do I need to subtract the potential term ΔP/Δz = -ρg/gc after the Ergun equation's own ΔP/Δz , assuming that the fluid is to be pumped upward, from the bottom of the bed to the top of the bed? I was thinking it should be negative because the fluid is counteracting gravity (fluid is flowing upward), which means that the pressure drop is greater.

Thanks.
 
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Yes, that needs to be included.
 

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