Rapid Micromixing by the Impingement of Free, Paper-Thin Sheets of Liquids

 

Video is a front view of the impingement of two, equal paper-thin sheets of water impinging at a 45o angle to produce a mixed or combined sheet.  Single sheet thickness is about 80 microns at impingement and the impingement zone can clearly be seen as a thin arc segment line stretching across the fan shaped sheets.  Pressure drop is only 0.25 bar (3.6 psig) for a single-sheet flow rate of about 1.1 liters/minute and a single-sheet velocity of 6 m/s.

Impinging-Sheet Injectors

 

ThinSheetTM  impinging-sheet injectors provide millisecond mixing of low-viscosity liquids. The following photographs compare impinging-sheet injectors with impinging-jet injectors. The quality of the liquid-phase mixing is demonstrated by impinging sodium hydroxide containing phenol red indicator with a 20% stoichiometric excess of hydrochloric acid with no indicator. In base the phenol red is pink in color while at an acidic pH (less than pH 7), phenol red is yellow in color.

This photograph of a ThinSheetTM injector shows that after about 4 to 5 ms virtually all of the droplets are yellow in color.  In the mixed sheet the excess acid has neutralized the base causing the phenol red to convert to it’s yellow form. From Demyanovich (2024a – see Publications below) the calculated neutralization time is 5 ms, which agrees well with the observed neutralization time. Operating conditions are single-sheet flowrate of 1.0 L/min, single-sheet thickness at impingement of 31 microns, distance to impingement of 2.25 cm, impingement angle of 40o , injector pressure drop of 1.46 bar (21 psig), single-sheet velocity of 13.6 m/s, and energy dissipation rate in the impingement zone of just over 2 million W/kg (Demyanovich, 2024b; Demyanovich, 2021a). IZ – impingement zone.

 

This photograph of an impinging-jet injector with on-axis impingement shows a central core of liquid in the formed sheet that is still pink and has not been neutralized (despite the 20% excess acid).  Operating conditions are jet flowrate of 1.0 L/min,  jet diameter of 1.2 mm, distance to impingement of 1 cm, impingement angle of 60o , injector pressure drop of 1.2 bar (17.6 psig), and jet velocity of 14.9 m/s.  At impingement the thickness of the equivalent single sheets is only 31 microns (a factor of 39 times less). IZ – impingement zone.

 

This photograph shows two jets impinging upon one another where the impingement of the 1.2 mm jets is offset by 0.2 mm. This off-axis impingement of the jets results in about 20 to 25% of the flow of each jet not impinging upon the other jet.  From the front, the liquid sheet formed by the slightly off-axis impingement is not visually affected; however, from the side, the sheet is turned about 10o.  This off-axis impingement results in the portion of the pink base jet that does not impinge upon the clear acid jet flowing to the left and the corresponding portion of the acid jet that doesn’t impinge upon the base jet flowing to the right. Note that slight off-axis jet impingement cannot be visually observed without the aid of an indicator (in this case a color indicator).  Operating conditions are jet flowrate of 1.0 L/min, jet diameter of 1.2 mm, distance to impingement of 1 cm, impingement angle of 60o, injector pressure drop of 17.5 psig (1.2 bar), and jet velocity of 14.8 m/s. IZ – impingement zone.

Publications

Demyanovich, R.J., 2025, Cold flow comparison of impinging-sheet injectors with impinging-jet injectors. AIAA Paper 2025-2285 . https://arc.aiaa.org/doi/10.2514/6.2025-2285

Demyanovich, R.J., 2024a, Experimental study and turbulence dissipative scale modelling of the rapid micromixing of impinging, paper-thin sheets of liquids. Chemical Engineering Research and Design 206, pp. 347-366. https://doi.org/10.1016/j.cherd.2024.04.060

Demyanovich, R.J., 2024b, High energy dissipation rates from the impingement of free paper-thin sheets of liquids: Determination of the volume of the energy dissipation zone. Chemical Engineering Science 294,  120128. https://doi.org/10.1016/j.ces.2024.120128 https://doi.org/10.48550/arXiv.2403.08122

Demyanovich, R.J., 2021a, High energy dissipation rates from the impingement of free paper-thin sheets of liquids: A study of the coefficient of restitution of the collision. Chemical Engineering Science: X  12:100113. https://doi.org/10.1016/j.cesx.2021.100113

Demyanovich, R.J., 2021b, On the impingement of free, thin sheets of liquids – A photographic study of the impingement zone. AIP Adv. 11. https://doi.org/10.1063/5.0040336

Demyanovich, R.J., Bourne, J.R., 1992, Secondary mixing of Impinging Sheets. Chem. Eng. Commun. 113, pp. 133-146. https://doi.org/10.1080/00986449208936008

Demyanovich, R.J., Bourne, J.R., 1992, Impingement-sheet mixing of liquids at unequal flow rates. Chem. Eng. Process. 31, pp. 229-239. https://doi.org/10.1016/0255-2701(92)87015-9

Demyanovich, R.J., 1991, Production of commercial dyes via impingement-sheet mixing. Part II. Results of laboratory experiments. Chem. Eng. Process. 29, pp. 179-183. https://doi.org/10.1016/0255-2701(91)85018-J

Demyanovich, R.J., 1991, Production of commercial dyes via impingement-sheet mixing. Part I. Testing of a device suitable for industrial application. Chem. Eng. Process. 29, pp. 173-177. https://doi.org/10.1016/0255-2701(91)85017-I

Demyanovich, R.J., 1991, Absorption of carbon dioxide by impinging, thin liquid sheets. Chem. Eng. Commun. 103, pp. 151-166. https://doi.org/10.1080/00986449108910868

Demyanovich, R.J., Bourne, J.R., 1989, Rapid micromixing by the impingement of thin liquid sheets. 2. Mixing study. Ind. Eng. Chem. Res. 28, pp. 830-839. https://doi.org/10.1021/ie00090a027

Demyanovich, R.J., Bourne, J.R., 1989, Rapid micromixing by the impingement of thin liquid sheets. 1. A photographic study of the flow pattern. Ind. Eng. Chem. Res. 28, pp. 825-830. https://doi.org/10.1021/ie00090a026

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