Ergun Equation reulting to zero pressure ratio

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SUMMARY

The discussion centers on the implications of achieving a zero pressure ratio in a packed bed reactor while using the Ergun equation. The user reports that increasing the volumetric flow rate (Vo) leads to a rapid decrease in pressure, ultimately approaching zero. This phenomenon raises questions about its physical significance, particularly regarding gas flow cessation and potential damage to packing materials. The conversation highlights the relationship between flow rate and pressure drop, emphasizing the importance of understanding fluid dynamics in reactor design.

PREREQUISITES
  • Understanding of the Ergun equation for packed bed reactors
  • Knowledge of fluid dynamics and pressure drop concepts
  • Familiarity with volumetric flow rate (Vo) in reactor systems
  • Basic principles of gas flow and fluidization phenomena
NEXT STEPS
  • Research the implications of zero pressure ratio in packed bed reactors
  • Study the concept of fluidization velocity and its effects on reactor performance
  • Explore numerical methods for simulating fluid flow in packed beds
  • Investigate the physical consequences of high flow rates on packing materials
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Chemical engineers, process engineers, and researchers involved in reactor design and optimization, particularly those focusing on packed bed systems and fluid dynamics.

maistral
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I was trying to emulate a packed bed reactor, and apparently the pressure midway at the packed column became zero, until my numerical method failed altogether (as the pressure variable in the Ergun is at the denominator).

I'd like to be enlightened about one thing - does this phenomena (zero pressure midway the packed column) has something to tell me at what will happen at the end? No gas flow or something, perhaps? Thanks.

EDIT: Sorry for the title spelling error, it's 'resulting', not reulting.
 
Last edited:
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maistral said:
I was trying to emulate a packed bed reactor, and apparently the pressure midway at the packed column became zero, until my numerical method failed altogether (as the pressure variable in the Ergun is at the denominator).

I'd like to be enlightened about one thing - does this phenomena (zero pressure midway the packed column) has something to tell me at what will happen at the end? No gas flow or something, perhaps? Thanks.

EDIT: Sorry for the title spelling error, it's 'resulting', not reulting.
The pressure should not go to zero if you are using the ergun equation. Please write your form of the ergun equation so we can see what you are dealing with.

Chet
 
I was toying around the flowrate, Vo. When I assign increasing values for Vo, I found out that the pressure is going down.
 

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maistral said:
I was toying around the flowrate, Vo. When I assign increasing values for Vo, I found out that the pressure is going down.

What determines the pressure at the inlet and outlet of the bed?
 
I'm really sorry, I didn't understand the question :|

Actually what's happening is that, the inlet pressure is at 7.5MPa, and I am using the Ergun equation to find out the outlet pressure. What's happening is that if I toy around the Vo by increasing it (volumetric rate), the pressure decreases rapidly until it approaches a certain high Vo value and the pressure approaches 0.

I was wondering if this is equivalent to a physical phenomenon when the exit pressure becomes zero (ie. the gas won't flow anymore, the packings get destroyed, or something).
 
Last edited:
maistral said:
I'm really sorry, I didn't understand the question :|

Actually what's happening is that, the inlet pressure is at 7.5MPa, and I am using the Ergun equation to find out the outlet pressure. What's happening is that if I toy around the Vo by increasing it (volumetric rate), the pressure decreases rapidly until it approaches a certain high Vo value and the pressure approaches 0.

I was wondering if this is equivalent to a physical phenomenon when the exit pressure becomes zero (ie. the gas won't flow anymore, the packings get destroyed, or something).

What you are saying is that, as you increase the throughput rate through a packed bed, the pressure drop through the bed increases. Why does this surprise you?
 
Uh, I do know that the pressure should go down, but what I mean is that the pressure ratio at the end given a certain high flowrate is zero; does this signify something as a physical phenomenon? No effluent or something?

This is my first time to see a zero pressure ratio in my calculations, I'm sorry. XD
 
maistral said:
Uh, I do know that the pressure should go down, but what I mean is that the pressure ratio at the end given a certain high flowrate is zero; does this signify something as a physical phenomenon? No effluent or something?

This is my first time to see a zero pressure ratio in my calculations, I'm sorry. XD

I don't know what you mean by the pressure ratio.

Chet
 
I mean P/Po is going towards zero. The P there at the denominator is continually decreasing, causing the entire thing to approach zero apparently.

I was wondering what does this have to do as a physical phenomenon, when the exit pressure is zero.
 
  • #10
Arr, nevermind. Fluidization velocity is what I was looking for, apparently. Thanks.
 

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