7 replies to this topic

[Tolinorton]

Could anyone of you explain what does symbol ω (omega) mean in cyclone separator design.

 

I found it in this mathematical expression:

 

 

ω=cubic root{[4gµ(ρ_p-ρ_f)]/[3(ρ_f)^2]}

  

 

In fact I need to know what does mathematical expression above mean, the equation 6-93 on attachment.

 

Please see the attachment in which are the complete steps to achieve this expression.

 

 CYCLONE DESIGN.pdf   379.76KB   20 downloads

 

 

 

Thank  you.

 

 

 

 

 

 

 

 

Edited by Mentor, 06 April 2013 - 05:24 AM.

[markymaark]

That greek "w" is actually a lower-case omega (if you are referring to equation 6-93).  I don't see it defined anywhere in this section.

Keep looking back to find where it is defined. 

 

I would belive it is an empircal constant.  Most likely in a previous table, or in the appendices.

Edited by markymaark, 05 April 2013 - 09:35 AM.

[junaid8942]

As i understand from mathemetical expression, it seems to be Terminal velocity of gas.

Furthurmore, there are not such thing in your Attached doc. 

[Tolinorton]

That greek "w" is actually a lower-case omega (if you are referring to equation 6-93).  I don't see it defined anywhere in this section.

Keep looking back to find where it is defined. 

 

I would belive it is an empircal constant.  Most likely in a previous table, or in the appendices.

 

Dear markymaark,

 

Thanks a lot for your correction it is not phi but lower-case omega and that is the equation 6-93. I hope I am not bothering you. Can you

tell me what does this mathematical expression mean. I searched on Google and in many e-books about cyclone design but I couldn't find what does this equation mean.

 

Best regards

[ravion143]

The omega could be angular velocity and the equation just a way of obtaining it from the obtainable data.

[Tolinorton]

The omega could be angular velocity and the equation just a way of obtaining it from the obtainable data.

 

Dear ravion143,

 

The omega is not angular velocity because the units for this parameter is m/s and not rad/s.

[thorium90]

Mentor, eqn 6-93 is used in eqn 6-92. the symbol is just a simple way of writing a large complicated mathematical expression by splitting it up into a number of easily understandable parts. Eqn 6-92 is clearly an empirical design equation for calculating saltation velocity. In other words, its just a symbol used to define a part of an equation. Typically, it also helps in the curve fitting, for example, if I wanted to fit a curve like y=mx+c, it would be useful to arrange it in such a form.

[Tolinorton]

Dear thorium90,

 

Thank you so much for your explanation.

 

 

 

 

Best regards