On the effect of the Froude number on the interface area of gravity-driven liquid rivulets

Sebastia‐Saez, Daniel; Gu, Sai; Könözsy, László; Repke, Jens‐Uwe; Arellano‐García, Harvey

doi:10.1016/j.cherd.2017.12.003

Cited by 4 publications

(1 citation statement)

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“…The rivulet flow is close to films and is a practically significant class of flows of thin layers of liquid with a free surface. It is implemented in many plants of the oil and gas industry, in the food industry, in heat exchangers, refrigerators, and chemical technology devices 1‐5 . Most theoretical studies, starting with the pioneering work 6 are devoted to stationary and smooth (without waves) rivulets falling over an inclined plane and on curved surfaces 7‐11 .…”

Section: Introductionmentioning

confidence: 99%

Waves in a rivulet falling down an inclined cylinder

2020

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In the long‐wave approximation, a theoretical model is developed to describe waves in a rivulet flowing down the lower surface of an inclined cylinder. The model equations are derived by the weighted residual method by projecting the Navier–Stokes equations onto the constructed system of basic orthogonal polynomials. The simplest case of quasi‐two‐dimensional waves is studied in detail. The stability of the rivulet flow is analyzed and dispersion dependences for linear waves are obtained. The characteristics of nonlinear steady‐state traveling waves have been obtained by numerical method for the first time, and the spatial development of forced waves has been studied. The results of calculations are in good agreement with the available experimental data for various liquids in a wide range of parameters.

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Section: Introductionmentioning

confidence: 99%