Electrohydrodynamics of a liquid drop: the development of the flow field

1973 ◽  
Vol 334 (1598) ◽  
pp. 343-356 ◽  
Keyword(s):  
Steady State ◽  
Flow Field ◽  
Electric Field ◽  
Liquid Drop ◽  
Drop Surface ◽  
Steady State Flow ◽  
Field Stress ◽  
State Flow ◽  
Developing Flow ◽  
Set Up

In this paper we consider the development of the flow field in and about a liquid drop immersed in a conducting fluid, induced by an electric field stress. We place special emphasis to the case when the applied electric field is a d.c. field. We assume that the electric field stress is set up instantaneously and investigate the development of the flow field as the drop is being deformed. Thus, the present work is an extension of Sir Geoffrey Taylor’s work concerning the steady state flow field set up by a d.c. field and the author’s work concerning the quasi-steady state flow generated by an a.c. field. In the case of a d.c. field, the fluid circulation in the proximity of the drop surface initially forms closed loops which eventually propagate to infinity. Also, in the proximity of the drop surface, the developing flow field may be more intense and even directed in opposite sense in comparison with that of the steady state. In the limit, when the time t tends to infinity, the solution presented here converges to the solutions established in the papers referred to above.

On fluid motions induced by an electromagnetic field in a liquid drop immersed in a conducting fluid

1972 ◽  
Vol 51 (3) ◽  
pp. 585-591 ◽  
Author(s):  
C. Sozou
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Flow Field ◽  
Electric Field ◽  
Lorentz Force ◽  
Liquid Drop ◽  
Conducting Fluid ◽  
Uniform Electric Field ◽  
Tangential Electric Field ◽  
Set Up

The deformation of a liquid drop immersed in a conducting fluid by the imposition of a uniform electric field is investigated. The flow field set up is due to the surface charge and the tangential electric field stress over the surface of the drop, and the rotationality of the Lorentz force which is set up by the electric current and the associated magnetic field. It is shown that when the fluids are poor conductors and good dielectrics the effects of the Lorentz force are minimal and the flow field is due to the stresses of the electric field tangential to the surface of the drop, in agreement with other authors. When, however, the fluids are highly conducting and poor dielectrics the effects of the Lorentz force may be predominant, especially for larger drops.

Electrohydrodynamics of a liquid drop: the time-dependent problem

1972 ◽  
Vol 331 (1585) ◽  
pp. 263-272 ◽  
Keyword(s):  
Flow Field ◽  
Electric Field ◽  
Liquid Drop ◽  
Momentum Equation ◽  
Time Dependent ◽  
Fluid Density ◽  
Low Viscosity ◽  
Theoretical Paper ◽  
Time Dependent Problem ◽  
Set Up

This theoretical paper is an extension of Sir Geoffrey Taylor’s work on the flow field induced by an electric field in and about a liquid drop immersed in an incompressible conducting fluid. In the present work it is assumed that the inducing electric field varies with time t as cos ωt , where ω is a constant. The solution presented is based on the assumption that the flow field set up is weak and the convection terms in the momentum equation can be ignored. It is shown that for fluids of low viscosity or when the applied electric field is oscillating very rapidly the term ρδu/δt, where ρ and u are the fluid density and velocity, respectively, cannot be neglected. In these cases the results of the authors who have completely ignored this term are not correct.

Dusty Gas Flow in a Converging-Diverging Nozzle

1999 ◽  
Vol 121 (4) ◽  
pp. 908-913 ◽  
Author(s):  
O. Igra ◽  
I. Elperin ◽  
G. Ben-Dor
Keyword(s):  
Steady State ◽  
Flow Field ◽  
Gas Flow ◽  
Jet Flow ◽  
Mach Disk ◽  
Solid Particles ◽  
Steady State Flow ◽  
Free Jet ◽  
State Flow ◽  
Free Jet Flow

The flow in a converging-diverging nozzle is studied numerically. The flowing medium is a suspension composed of gas seeded with small, spherical, solid particles. The solution covers the entire flow history, from its initiation and until a steady state flow is reached. The covered flow domain includes both the flow field inside the nozzle and part of the free jet flow outside of the nozzle exit plane. The solution is repeated for different solid particle diameters, ranging from 0.5 μm to 50 μm, and different dust loading ratios. It is shown that the presence of solid particles in the flow has a significant effect on the developed flow field, inside and outside the nozzle. In particular, by a proper choice of particles diameter lateral pressure waves and the secondary shock wave can be significantly attenuated. The solid particles size has also a marked effect on the position and size of the Mach disk appearing in the free jet flow. It is also shown that in a suspension case a steady state flow is reached faster than in a similar pure gas flow.

scholarly journals Three dimensional computational studies on steady-state flow field around a microsphere under laminar flow

2020 ◽  
Author(s):  
Sivasamy Balasubramanian ◽  
Suresh Krishnan ◽  
Magesh Kumar M. ◽  
Krishna Srihari B. ◽  
Arkadyuti Chakraborty ◽  
...  
Keyword(s):  
Steady State ◽  
Laminar Flow ◽  
Flow Field ◽  
Three Dimensional ◽  
Computational Studies ◽  
Steady State Flow ◽  
State Flow

Calibration 7" – Cutthroat Flume as New Size for Discharge Measurement at Free Flow Condition

2020 ◽  
Vol 38 (12A) ◽  
pp. 1783-1789
Author(s):  
Jaafar S. Matooq ◽  
Muna J. Ibraheem
Keyword(s):  
Steady State ◽  
Flow Condition ◽  
Laboratory Experiments ◽  
Free Flow ◽  
Experimental Program ◽  
Steady State Flow ◽  
Empirical Formulas ◽  
State Flow ◽  
Operation Conditions ◽  
Throat Width

 This paper aims to conduct a series of laboratory experiments in case of steady-state flow for the new size 7 ̋ throat width (not presented before) of the cutthroat flume. For this size, five different lengths were adopted 0.535, 0.46, 0.40, 0.325 and 0.27m these lengths were adopted based on the limitations of the available flume. The experimental program has been followed to investigate the hydraulic characteristic and introducing the calibrated formula for free flow application within the discharge ranged between 0.006 and 0.025 m3/s. The calibration result showed that, under suitable operation conditions, the suggested empirical formulas can accurately predict the values of discharge within an error ± 3%.

A Graphical Method for Storage Coefficient Determination from Quasi-Steady State Flow Data

1996 ◽  
Vol 27 (4) ◽  
pp. 247-254 ◽  
Author(s):  
Zekâi Şen
Keyword(s):  
Steady State ◽  
Graphical Method ◽  
Pumping Test ◽  
Quasi Steady State ◽  
Flow Data ◽  
Steady State Flow ◽  
Storage Coefficient ◽  
State Flow ◽  
Aquifer Test

A simple, approximate but practical graphical method is proposed for estimating the storage coefficient independently from the transmissivity value, provided that quasi-steady state flow data are available from a pumping test. In the past, quasi-steady state flow distance-drawdown data have been used for the determination of transmissivity only. The method is applicable to confined and leaky aquifers. The application of the method has been performed for various aquifer test data available in the groundwater literature. The results are within the practical limits of approximation compared with the unsteady state flow solutions.

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