Viscoelastic potential flow analysis of the stability of a cylindrical jet

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Viscoelastic potential flow analysis of the stability of a cylindrical jet

Journal Article•

Viscoelastic potential flow analysis of the stability of a cylindrical jet

Mukesh Kumar Awasthi¹, Rishi Asthana, G. S. Agrawal•Institutions (1)

University of Petroleum and Energy Studies¹

01 Jun 2014-Scientia Iranica (SCIENTIA IRANICA)-Vol. 21, Iss: 3, pp 578-586

TL;DR: In this article, a linear analysis of the temporal instability of a viscoelastic liquid jet with axisymmetric and asymmetric disturbances moving in an infinite viscous fluid is investigated.

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About: This article is published in Scientia Iranica.The article was published on 2014-06-01 and is currently open access. It has received 3 citations till now. The article focuses on the topics: Viscous liquid & Jet (fluid).

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Journal Article•DOI•

Kelvin-Helmholtz instability of viscoelastic liquid-viscous gas interface with heat and mass transfer

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Mukesh Kumar Awasthi¹•Institutions (1)

Babasaheb Bhimrao Ambedkar University¹

01 Mar 2021-International Journal of Thermal Sciences

TL;DR: In this paper, the authors examined the linear stability of the interface formed by a viscoelastic liquid and a viscous gas and found that on increasing heat transfer, the range of stable wave number decreases while the maximum value of growth rate increases.

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12 citations

Journal Article•DOI•

Capillary Instability of Viscoelastic Liquid Film With Heat and Mass Transfer

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Mukesh Kumar Awasthi¹•Institutions (1)

Babasaheb Bhimrao Ambedkar University¹

01 Feb 2020-Journal of Heat Transfer-transactions of The Asme

TL;DR: In this article, the effect of transfer of heat and mass on the capillary instability between a viscoelastic liquid and a viscous gas was examined and the normal mode procedure was employed to study the stability of the interface.

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Abstract: This paper examines the effect of transfer of heat and mass on the capillary instability between a viscoelastic liquid and a viscous gas. The viscoelastic liquid obeys the Oldroyd B-model. These two fluid layers considered in coaxial cylinders and viscoelastic–viscous potential flow theory are used for investigation. To study the stability of the interface, the normal-mode procedure is employed and a cubic dispersion equation in terms of growth rate has been obtained. We observe that the viscoelastic liquid–viscous gas interface is more unstable than the viscous liquid–viscous gas interface. Additionally, we show that the unstable axisymmetric wave modes are stabilized by allowing heat transfer at the interface.

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6 citations

Journal Article•DOI•

Temporal instability of Walter’s B viscoelastic fluid film

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Dharamendra, Mukesh Kumar Awasthi

01 Mar 2021

3 citations

References

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Journal Article•DOI•

Zum Zerfall eines Flussigkeitsstrahles

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Constantin Weber

01 Jan 1931-Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik

901 citations

"Viscoelastic potential flow analysi..." refers background in this paper

...Weber [4] made another extension to Rayleigh's theory by considering the e ect of viscosity and surrounding air on the stability of the columnar jet....
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Journal Article•DOI•

Breakup of a liquid drop suddenly exposed to a high-speed airstream

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Daniel D. Joseph¹, J. Belanger¹, Gordon S. Beavers¹•Institutions (1)

University of Minnesota¹

01 Sep 1999-International Journal of Multiphase Flow

TL;DR: In this article, a rotating drum camera was used to photograph viscous and viscoelastic drops in high speed airstream behind a shock wave in a shock tube, giving one photograph every 5 ms.

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335 citations

"Viscoelastic potential flow analysi..." refers methods in this paper

...[14] have studied VPF analysis of Rayleigh-Taylor instability....
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Journal Article•DOI•

Viscous potential flow analysis of Kelvin–Helmholtz instability in a channel

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Toshio Funada, Daniel D. Joseph¹•Institutions (1)

University of Minnesota¹

25 Oct 2001-Journal of Fluid Mechanics

TL;DR: In this article, the stability of stratified gas-liquid flow in a horizontal rectangular channel using viscous potential flow was analyzed and a dispersion relation was established, in which the effects of surface tension and viscosity on the normal stress are not neglected but the effect of shear stresses is.

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Abstract: We study the stability of stratified gas–liquid flow in a horizontal rectangular channel using viscous potential flow. The analysis leads to an explicit dispersion relation in which the effects of surface tension and viscosity on the normal stress are not neglected but the effect of shear stresses is. Formulas for the growth rates, wave speeds and neutral stability curve are given in general and applied to experiments in air–water flows. The effects of surface tension are always important and determine the stability limits for the cases in which the volume fraction of gas is not too small. The stability criterion for viscous potential flow is expressed by a critical value of the relative velocity. The maximum critical value is when the viscosity ratio is equal to the density ratio; surprisingly the neutral curve for this viscous fluid is the same as the neutral curve for inviscid fluids. The maximum critical value of the velocity of all viscous fluids is given by that for inviscid fluid. For air at 20°C and liquids with density ρ = 1 g cm−3 the liquid viscosity for the critical conditions is 15 cP: the critical velocity for liquids with viscosities larger than 15 cP is only slightly smaller but the critical velocity for liquids with viscosities smaller than 15 cP, like water, can be much lower. The viscosity of the liquid has a strong effect on the growth rate. The viscous potential flow theory fits the experimental data for air and water well when the gas fraction is greater than about 70%.

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224 citations

"Viscoelastic potential flow analysi..." refers methods in this paper

...Joseph et al. [15] have done RayleighTaylor instability of viscoelastic drops at high Weber numbers and concluded that the most unstable wave is a sensitive function of the retardation time, 2, which ts experiments when 2= 1 = O(10 3)....
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...The VPF analysis of Kelvin-Helmholtz instability was studied by Funada and Joseph [13]....
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...Joseph et al. [14] have studied VPF analysis of Rayleigh-Taylor instability....
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...If we put 1 = 2, again, the dispersion relation reduces to the dimensional form of the same dispersion relation, as obtained by Funada and Joseph [16]....
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...The viscous potential ow analysis of capillary instability has been studied by Funada and Joseph [16]....
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Book Chapter•DOI•

Scientific Papers: On the Instability of a Cylinder of Viscous Liquid under Capillary Force

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John William Strutt

01 Jan 2009

161 citations

Journal Article•DOI•

Stability of a viscoelastic jet

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Stanley Middleman¹•Institutions (1)

University of Rochester¹

01 Dec 1965-Chemical Engineering Science

TL;DR: In this paper, the growth rate of a disturbance on a viscoelastic jet is derived by paralleling the classical development for the Newtonian liquid, and it is shown that the model is less stable than a Newtonian jet under identical dynamic conditions.

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128 citations

"Viscoelastic potential flow analysi..." refers methods in this paper

...The linear stability analysis of the capillary instability of a viscoelastic uid was done by Middleman [5] and Goldin et al....
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...The linear stability analysis of the capillary instability of a viscoelastic uid was done by Middleman [5] and Goldin et al. [6], and they observed that growth rates are larger for viscoelastic uid....
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