Ergun Equation reulting to zero pressure ratio

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Discussion Overview

The discussion revolves around the behavior of pressure in a packed bed reactor as modeled by the Ergun equation, particularly focusing on the phenomenon of zero pressure ratio occurring at high flow rates. Participants explore the implications of this behavior on gas flow and reactor performance.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that their numerical method fails when the pressure in the packed column reaches zero, questioning the physical implications of this occurrence.
  • Another participant requests the form of the Ergun equation being used to understand the situation better.
  • Several participants observe that increasing the volumetric flow rate (Vo) leads to a decrease in pressure, with one participant specifically noting that the pressure approaches zero at high flow rates.
  • There is a discussion about the relationship between inlet pressure, outlet pressure, and flow rate, with one participant expressing confusion about the physical significance of a zero pressure ratio.
  • A participant mentions fluidization velocity as a potential concept related to their observations.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the implications of a zero pressure ratio and whether it signifies a physical phenomenon such as the cessation of gas flow. There is no consensus on the interpretation of these results.

Contextual Notes

Participants have not fully clarified the assumptions behind their use of the Ergun equation or the specific conditions leading to the observed pressure behavior. The discussion includes varying interpretations of pressure dynamics in the context of packed bed reactors.

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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