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Yearbook 2013/2014 - ehedg

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68 Flow behaviour of liquid jets impinging on vertical walls<br />

Application to cleaning<br />

Since R, and hence W, can now be estimated from Equation<br />

(1), we can obtain a reasonable estimate of the wall area<br />

contacted by the liquid in the jet and the stability of the falling<br />

film generated. The influence of surfactants or the effect of<br />

cleaning the surface, which will change the contact angle,<br />

can also be assessed. Ongoing work in our group includes<br />

investigations of inclined jets and non-vertical surfaces,<br />

detailed analysis of the shape of the falling films, and<br />

cleaning.<br />

Acknowledgment<br />

This work is not funded by a company or research council.<br />

A PhD scholarship for Tao Wang and input from project<br />

students is gratefully acknowledged.<br />

References<br />

Figure 4. Plot indicating stability of falling films generated by<br />

horizontal jets impinging on a vertical glass wall. The lines show the<br />

Hartley and Murgatroyd criterion, Equation (2), for water (in blue)<br />

and an aqueous 0.1 mM Tween 20 solution (in red). Data points:<br />

open symbols indicate that rivulet flow was observed, solid symbols<br />

indicate gravity flow. Rivulet flow is expected for points lying on or<br />

above the line. Test conditions: 1 mm nozzle, 20ºC.<br />

The two lines on Figure 4 show the conditions under which<br />

Equation (2) predicts a change in flow behaviour for water<br />

and for a surfactant solution. The theory says that points lying<br />

on or above the line should exhibit rivulet flow behaviour. For<br />

the flow rates tested here, water exhibits rivulet flow, which<br />

is consistent with Equation (2).<br />

1. Morison, K.R., and R.J. Thorpe. (2002). Liquid distribution from<br />

cleaning-in-place sprayballs. Food Bioproducts Proc., 80, 270-275.<br />

2. Wilson, D.I., B.L. Le, H.D.A. Dao, K.Y. Lai, K.R. Morison, and<br />

J.F. Davidson. (2011). Surface flow and drainage films created by<br />

horizontal impinging liquid jets. Chem. Eng. Sci., 68, 449–460.<br />

3. Wang, T., Davidson, J.F. and Wilson, D.I. (<strong>2013</strong>) 'Effect of<br />

surfactant on flow patterns and draining films created by a horizontal<br />

liquid jet impinging on a vertical surface', Chem. Eng. Sci., 88, 79-94.<br />

4. Hartley, D.E. and W. Murgatroyd. (1964). Criteria for the breakup<br />

of thin liquid layers flowing isothermally over solid surfaces. Intl<br />

J. Heat Mass Transfer, 7, 1003-1015.<br />

The presence of surfactant reduces the surface tension and<br />

gives a smaller contact angle, which causes the transition<br />

locus to move to larger Eötvös numbers. For similar flow<br />

rates to the water tests, the surfactant solutions give wide<br />

falling films, which is again consistent with Equation (2).

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