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March 9, 2002, 00:55 
TAB (Taylor Analogy Breakup) Model

#1 
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The only reference I got is:
O'Rourke,P.J.; Amsden,A.A., "The TAB Method for Numerical Calculation of Spray Droplet Breakup", SAE Technical Paper 872089, 1987. But I don't have access to this technical paper. There is almost no useful information about TAB method on Internet. Could anybody kindly point me to other papers (or book)? Thanks. 

March 9, 2002, 13:42 
Re: TAB (Taylor Analogy Breakup) Model

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You should be able to order this paper directly from SAE. Go to their website (www.sae.org) and click on "store", then follow the obvious path. Or, you might try to contact the authors, who work in Group T3 at Los Alamos National Laboratory. Their URL is something like gnarly.lanl.gov. Or you might try to contact Rolf Reitz at www.erc.wisc.edu/index.html since he and his group use the TAB model and have worked on some improvements.


March 10, 2002, 00:57 
Re: TAB (Taylor Analogy Breakup) Model

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Any "book" on this topic?
Thanks. 

April 1, 2009, 05:39 

#4 
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Michael
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Hi ZiWei Chiou,
if you give me your emailadress, I could send you something about the TABModel! 

April 1, 2009, 08:20 

#5 
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Michael
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Hi,
I have one more question about the TABModel. I was looking for the implementation of the model, especially the updating of the droplet size! There, the new radius of the droplet is calculated by scalar rNew = 0.04*n*rs; rs is the Sauterradius. What's the background of this formula? And what is n and where does the factor 0.04 come from?? Can anybody help me??? Cheers, Michael 

April 1, 2009, 22:43 

#6 
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Kelly Senecal
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Hi Michael,
That equation comes from use of the chisquared drop size distribution. The following steps outline the method: 1. The cumulative distribution function (CDF) is built for the chisquared distribution  call this cdf(n). 2. When drop breakup is predicted to occur, a random number XX is selected. 3. A loop is done over n. When cdf(n)>XX, the loop is terminated and this value of n is saved. 4. The predicted radius from breakup is then r=0.04*n*smr_tab where smr_tab is the Sauter Mean Radius predicted from the TAB model. The 0.04 in the above expression comes from the fact that the range on drop size is up to a maximum of 4*smr_tab. The maximum value of n is 100 in this case, and thus the maximum value of r is 0.04*100*smr_tab=4*smr_tab. I hope this helps. 

April 2, 2009, 05:04 

#7 
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Michael
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Now it's clear! Thank you so much!!
I guess the maximum size of 4*smr_tab of a droplet is an assumption?! Is there a reason why a chisquared distribution is chosen and not any other distribution (like the RosinRammler distribution)? Thanks, Michael 

April 2, 2009, 11:44 

#8 
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Kelly Senecal
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Hi Michael,
The maximum of 4*smr_tab comes from the following: 1. The CDF is written in terms of Y, where Y=r/rbar. Here r is the drop radius and rbar=(1/3)*smr_tab is the number averaged drop radius. 2. This CDF has a range of 0<Y<12. In other words, CDF(0)=0 and CDF(12) is approximately equal to 1. 3. So the range is 0<Y<12, which is equivalent to 0<r/rbar<12 or 0<r<12*rbar or finally 0<r<4*smr_tab (since smr_tab=3*rbar). I'm not sure which code you are using. In CONVERGE, we allow for chisquared or RosinRammler distributions when running the TAB model. I hope this helps. 

April 2, 2009, 12:12 

#9 
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Michael
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This helps definitely!! Thank you very much!!!


September 22, 2009, 23:24 
search for articles about TAB

#10 
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HuangWei
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Hi,foamers
i'm seaching for articles about TAB model ,anyone could help me,i'd appreciate! 

September 23, 2009, 02:52 

#11  
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Ahmed
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Quote:
http://www.osti.gov/energycitations/...sti_id=5056321 http://www.osti.gov/energycitations/...sti_id=6118786 Library Without Walls Project 

September 23, 2009, 06:06 

#12 
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HuangWei
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thank you very much,Ahmed.


April 24, 2010, 10:01 
Rosin Rammler Distribution

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Hi,
I would like to implement Rosin Rammler Distribution and currently the code i use has Chisquare distribution as explained above. But i need help in implementing the Rosin Rammler Distribution Thanks 

September 21, 2022, 16:18 

#14 
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krishna kant
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Hello All,
Can anyone through some light on how the Ck (coefficient of stiffness) value is calculated in the TAB model? The original TAB paper by Prof. Reitz says it is obtained by matching the fundamental oscillation frequency. And so Ck is 8. The fundamental frequency for the springmass system  ω_n=√((C_k σ)/(ρr^3 )) How Ck is obtained from here?? 

November 21, 2022, 06:12 

#15 
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Elias Trautner
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Dear all,
I just came across this discussion and have a further question on the droplet size distributions computed using the Chi Squared distribution, following the comments of farbflim and senecal. If I understand correctly, the maximum Sauter Mean Radius r32 for a breakup event is reached for ydot=0, which leads to: r32/r0=1/(1+(8*K/20))=3/7 with K=10/3 Now, if we allow the maximum radius sampled from Chi Squared to be r=0.04*n*r32 with n_max=100, then we get rmax=0.04*100*r32=0.04*100*r0*(3/7)=1.7143*r0 My question is: why would we want to allow the maximum possible radius after breakup to be larger than the radius of the breaking droplet? 

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