Governing equations for electro-conjugate fluid flow

K. Hosoda; K. Takemura; K. Fukagata; S. Yokota; K. Edamura

doi:10.1117/12.2033791

7 December 2013 Governing equations for electro-conjugate fluid flow

K. Hosoda, K. Takemura, K. Fukagata, S. Yokota, K. Edamura

Proceedings Volume 8923, Micro/Nano Materials, Devices, and Systems; 89234Z (2013) https://doi.org/10.1117/12.2033791
Event: SPIE Micro+Nano Materials, Devices, and Applications, 2013, Melbourne, Victoria, Australia

Abstract

An electro-conjugation fluid (ECF) is a kind of dielectric liquid, which generates a powerful flow when high DC voltage is applied with tiny electrodes. This study deals with the derivation of the governing equations for electro-conjugate fluid flow based on the Korteweg-Helmholtz (KH) equation which represents the force in dielectric liquid subjected to high DC voltage. The governing equations consist of the Gauss's law, charge conservation with charge recombination, the KH equation, the continuity equation and the incompressible Navier-Stokes equations. The KH equation consists of coulomb force, dielectric constant gradient force and electrostriction force. The governing equation gives the distribution of electric field, charge density and flow velocity. In this study, direct numerical simulation (DNS) is used in order to get these distribution at arbitrary time. Successive over-relaxation (SOR) method is used in analyzing Gauss's law and constrained interpolation pseudo-particle (CIP) method is used in analyzing charge conservation with charge recombination. The third order Runge-Kutta method and conservative second-order-accurate finite difference method is used in analyzing the Navier-Stokes equations with the KH equation. This study also deals with the measurement of ECF ow generated with a symmetrical pole electrodes pair which are made of 0.3 mm diameter piano wire. Working fluid is FF-1EHA2 which is an ECF family. The flow is observed from the both electrodes, i.e., the flow collides in between the electrodes. The governing equation successfully calculates mean flow velocity in between the collector pole electrode and the colliding region by the numerical simulation.

Citation Download Citation

K. Hosoda, K. Takemura, K. Fukagata, S. Yokota, and K. Edamura "Governing equations for electro-conjugate fluid flow", Proc. SPIE 8923, Micro/Nano Materials, Devices, and Systems, 89234Z (7 December 2013); https://doi.org/10.1117/12.2033791

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available