Abstract
Abstract
Highlights
The process of impingement of a gas jet onto a liquid layer is important in numerous industrial applications
As regards gas flow rates suitable for the validity of the thin-film equation, we note that for a film of thickness 0.226 mm and an air jet flowing at the rate 0.2 slpm, the maximum values of the normal and tangential stresses non-dimensionalised with γ /h0 turn out to be 0.007 and 0.0008, respectively, which is appropriate for the validity of the model
On the other hand, assuming that the dominant balance is between the surface tension and gas tangential stress terms and linearising (5.4), we find that
Summary
The process of impingement of a gas jet onto a liquid layer is important in numerous industrial applications. An early experimental study was performed by Banks & Chandrasekhara (1963), who identified three regimes, namely, a steady cavity, an oscillating cavity and splashing They focused on the analysis of steady cavities and suggested scaling approaches to establish a relation between the impact of the jet and the depth of the cavity. Previous analytical work investigating the shapes of steady cavities has been mainly based on a conformal mapping approach, in which the flow in the liquid is neglected and the system is assumed to be two dimensional, both of the assumptions are clearly not valid in practice. More recent work on gas jets impinging onto liquids has been mainly focused on experimental and direct numerical simulations (DNS) investigations (see e.g. Nguyen & Evans 2006; Solórzano-López, Zenit & Ramírez-Argáez 2011; Muñoz-Esparza et al 2012; Liu et al 2015; Adib, Ehteram & Tabrizi 2018)
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