Nonlinear forced waves in a vertical rivulet flow

Алексеенко, С. В.; Aktershev, S. P.; Бобылев, А. В.; Kharlamov, S. M.; Маркович, Д. М.

doi:10.1017/jfm.2015.170

Cited by 23 publications

(14 citation statements)

References 40 publications

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“…(32). Note that u is continuous across the surface z = H , whereas q = u z changes discontinuously across it because of the discontinuous change in viscosity there.…”

Section: -16mentioning

confidence: 99%

“…Thus a rivulet of such a fluid behaves like a rivulet of a Newtonian fluid with μ = μ ∞ except in a thin boundary layer near the free surface, and so at leading order the solutions for u and Q are given simply by (32).…”

Section: Rivulets Of Strongly Shear-thinning Carreau and Ellis Fmentioning

confidence: 99%

“…Figure 13(a) shows the exact solution (33)forα = 50 and τ av = 7/10 (<τ m ≃ 0.9717), with a obtained from (30), and Fig. 13(b) shows the leading-order asymptotic solution given by (20), (32), and (64)forτ av = 7/10 (<τ m ≃ 0.9657), with a obtained from (65). Figure 13 the surfaces z = H and y =±b separating the subregions sketched in Fig.…”

Section: -16mentioning

confidence: 99%

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Rivulet flow of generalized Newtonian fluids

2018

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Steady unidirectional gravity-driven flow of a uniform thin rivulet (i.e., a rivulet with small transverse aspect ratio) of a generalized Newtonian fluid down a vertical planar substrate is considered. The parametric solution for any generalized Newtonian fluid whose viscosity can be expressed as a function of the shear rate and the explicit solution for any generalized Newtonian fluid whose viscosity can be expressed as a function of the extra stress are obtained. These general solutions are used to describe rivulet flow of Carreau and Ellis fluids, highlighting the similarities and differences between the behavior of these two fluids. In addition, the general behavior of rivulets of nearly Newtonian fluids and of rivulets with small or large prescribed flux as well as the behavior of rivulets of strongly shear-thinning Carreau and Ellis fluids are also described. It is found that whereas the monotonic dependence of the viscosity of a Carreau fluid on its three nondimensional parameters and of an Ellis fluid on two of its three nondimensional parameters leads to the expected dependence of the behavior of the rivulet on these parameters (namely, that increasing the viscosity of the fluid leads to a larger rivulet), the nonmonotonic dependence of the viscosity of an Ellis fluid on the nondimensional parameter that measures the degree of shear thinning leads to a more complicated dependence of the behavior of the rivulet on this parameter. In particular, it is also found that when the maximum extra stress in the rivulet is sufficiently large a rivulet of an Ellis fluid in the strongly shear-thinning limit in which this parameter becomes large comprises two regions with different viscosities. In the general case of nonzero viscosity in the limit of large extra stress the two regions have different constant viscosities, whereas in the special case of zero viscosity in the limit of large extra stress one region has constant viscosity and the other has a nonconstant power-law viscosity, leading to a pluglike velocity profile with large magnitude in the narrow central region of the rivulet.

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“…(32). Note that u is continuous across the surface z = H , whereas q = u z changes discontinuously across it because of the discontinuous change in viscosity there.…”

Section: -16mentioning

confidence: 99%

Section: Rivulets Of Strongly Shear-thinning Carreau and Ellis Fmentioning

confidence: 99%

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Rivulet flow of generalized Newtonian fluids

2018

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“…Карта разновидностей волнообразования при ручейковом течении водяных растворов глицерина и спирта построена в работе [5]. Математическая модель, описывающая течение ручейка легкокипя-щей жидкости (FC-72) под действием потока газа азота в мини-и микроканалах изложена в работе [6].…”

Section: поступило в редакцию 8 сентября 2016 гunclassified

Экспериментальное Исследование Ручейкового Течения Легкокипящей Жидкости В Мини-Канале Под Действием Потока Газа

Чеверда¹,

Кабов²

2017

Письма В Журнал Технической Физики

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Экспериментально исследовались разновидности режимов течения и построена карта 11 разновидностей режимов при течении ручейка диэлектрической легкокипящей жидкости в мини-канале под действием потока газа. Экспериментально установлено, что прямолинейное течение ручейка жидкости наблюдается в ограниченном диапазоне расходов жидкости, газа. DOI: 10.21883/PJTF.2017.06.44401.16472

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“…The LIF method (Laser Induced Fluorescence method) was used in [5] to measure the local thickness of the rivulet flows of water solutions of glycerine and ethanol that have the wave structure and flow down the inclined plate, and the maps of varieties of wave formation at the rivulet flows were plotted.…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation of heat transfer in a falling down rivulet of liquid FC-72 on the vertical heated foil

Ponomarenko

2017

EPJ Web Conf.

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Abstract. Heat transfer at rivulet FC-72 flow over the constantan vertical heated foil with the length of 80 mm, width of 35 mm, and thickness of 25 mm was studied experimentally. Distributions of temperature on the bottom side of foil from the rivulet flow using the infrared thermographic data were obtained. In the future heat flux from the foil will be calculated with help of Koshi problem solution. It was shown that the rivulet width as the liquid flow rate increases, and it narrows as heat power increases due to the high evaporation rate. In the case with water, the rivulet narrows not so intensively as compared with the rivulet of FC-72 liquid. Good wettability and low heat of vaporization of FC-72 liquid contribute to using it to develop effective cooling systems.

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Nonlinear forced waves in a vertical rivulet flow

Cited by 23 publications

References 40 publications

Rivulet flow of generalized Newtonian fluids

Rivulet flow of generalized Newtonian fluids

Экспериментальное Исследование Ручейкового Течения Легкокипящей Жидкости В Мини-Канале Под Действием Потока Газа

Experimental investigation of heat transfer in a falling down rivulet of liquid FC-72 on the vertical heated foil

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