Paper Title :Comments on the Article “Longitudinal Instabilities in exit flow from a slit” by V. V. Gokhale in the Light of Renewed Interest in the Ohnesorge Number

Author :Vishwas Vinayak Gokhale

Article Citation :Vishwas Vinayak Gokhale , (2021 ) " Comments on the Article “Longitudinal Instabilities in exit flow from a slit” by V. V. Gokhale in the Light of Renewed Interest in the Ohnesorge Number " , International Journal of Advances in Science, Engineering and Technology(IJASEAT) , pp. 1-3, Volume-9,Issue-2

Abstract : Recently there has been renewed interest in the dimensionless number known as the Ohnesorge number denoted by the letter 𝐙, for example a discussion of the biography of Ohnesorge in [1]. This article is concerned with the setting down of a purely mathematical number 0.944261248574953 , which happens to be the critical value of the dimensionless number 𝐙, consisting of a combination of the viscosity, density, surface tension and half slit width (in a rectangular geometry) for the onset of instability. The work was performed by me [2] as a first year graduate student at the University of Delaware as part of a class. Some questions had been raised about the algebra leading to the critical value of 𝐙 after the work was published [3]. I responded to the comments [4] but evidently not with sufficient impact. These questions are settled decisively here with an a posteriori analysis of the magnitude of terms in the associated boundary condition. The idea of such a method of solving problems is implied in the article but was not fully appreciated. Data from [5] is analyzed in the light of this analysis. Keywords - Capillary Instability, Rheology, Surface Rheology, Surface Tension, Thin Film, Viscosity

Type : Research paper

Published : Volume-9,Issue-2

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