We have developed some physical-mathematical models for the dynamics of a round full-cone high-speed atomizing liquid jet. Here "high-speed" means above 30 m/s or so (ideally above 50 m/s) for a mm scale nozzle exit. The assumption is that it is a steady turbulent two-phase fluid flow comprised of a mixture of liquid droplets and a entrained gas in dynamic equilibrium, and being described by a mean axial velocity and a composite density. With this we can derive an expression for the dynamic pressure of the free jet as a function of the distance from the nozzle.
In order to validate the above model, I am in need of data for the axial velocity, liquid/gas ratio or composite density and if possible impact pressure of the liquid jet, all mean values or radial distributions as a function of distance from the nozzle.
A quick introduction to the type of models we have introduced can be obtained from our following poster on the topic:
https://www.researchgate.net/publication/267699867_Dynamical_model_of_an_impinging_liquid_jet
where some plots on the results we want to validate with more experimental data can be seen.
A recent preprint on our analytical models is:
https://www.researchgate.net/publication/303488046_Gas_entrainment_rate_coefficient_of_an_ideal_momentum_atomizing_liquid_jet
Any help would be highly appreciated as I have not been able to find enough appropriate data and if you contribute your own unpublished data and/or are willing to make some custom experiment for this purpose we can collaborate for the upcoming paper about this topic.
Any doubt about the required data/model, please ask! Thank you in advance!
Poster Dynamical model of an impinging liquid jet
Dear Fermin
I am also achieved coating by atomization using airbrush and I would like to add mathematical model. Please, if you have any information about this, help me. I collected some papers as follows:
Dear Rana: Thank you for the papers. I have focusing on liquid-gas two-phase flows at ambient temperature but I am interested in expanding to include the effec of temperature and impact over flat surfaces. You can have a look at one of the models I have developed, semi-analytical here:
https://www.researchgate.net/publication/267699867_Dynamical_model_of_an_impinging_liquid_jet
and a fully numerical here:
https://www.researchgate.net/publication/273760289_Numerical_scheme_model_for_the_dynamics_of_a_high-speed_atomizing_liquid_jet
I am preparing two papers to be published about this and a third fully analytical model. As soon as it is available I will take the ocassion to send it to you. If you send me the specific details for the liquid jet you are using (nozzle width, initial velocity, spread angle), I can send you the predictions of my model running the programs. I hope this can be useful.
Poster Dynamical model of an impinging liquid jet
Poster Numerical scheme model for the dynamics of a high-speed atom...
Thank you Phiipp. I have found some papers from the author you mention but the original paper seems to be under a paywall for me so if you have any other direct reference I would appreciate it. I have also found many other models before, under similar assumptions, but none describe the dynamics with analytical solutions.
A really good source is the ECN at SNL: http://www.sandia.gov/ecn/index.php
Look for example at the data search utility. There is also a lot of information in all the pages of the site.
Jean-Yves thank you for the reference to the Sandia Lab site. I'm not sure if the data will be good for me since it appears they focus on jets under combustion and the transient non-equilibrium states associated with very short injection times. Still I will try to find suitable data, because our model is based on a dynamic equilibrium assumption.
Thanks Vitalii. Looks like an interesting article from the JSME Bulletin, I've found several interesting papers in there myself. I'm mostly looking for data on statistically stationary (stable) atomizing jets with hight Reynolds number and investigating the dependency of the dynamical variables with the axial distance. Any other reference is apprecitated. I will shortly upload a preprint with full details.
Vitalii, the paper you share is indeed close in that the dynamical parameters are analyzed in comparison with the axial distance, but the type of jet seems extreme for the assumptions of the model as it is plasma, extremely high velocity (I see 1 km/s velocities there!) and temperatures of course. The type of data I need is for a turbulent liquid atomizing jet, high Reynolds number but at the same time low enough to disregard compressibility and supersonic effects. Thanks for the reference though, it may be an interesting possibility to extend my models!
Thank you Vitalii, both papers you post look interesting but both add other physical effects that I do not consider. The first one adds "synthetic jets" which I learn of for the first time here, with a (for me) strange nozzle configuration. I'm looking for a simple pressure-atomized single-hole round full-cone liquid jet and statistically stationary. The second paper you post is very interesting actually since I was originally trying to apply my model to an impinging jet so it could be useful for an extension again, but not directly for the present state that can only describe a free jet (not impinging). Still I might try to use some portion of the data and fit my models. Thanks again.
I have just added the preprint of our paper on the analytical model for the ideal momentum jet (also added to the description of this question). If I could find data like Fig. 7 and Fig. 8 therein but for a turbulent atomizing liquid jet I would be most happy. Thanks in advance for any help again.
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