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2015, vol. 43, br. 2, str. 154-160
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Nastanak elektro i hidrodinamičke nestabilnosti kod elastično-viskoznog Voltersovog (model B') sloja dielektričnog fluida
The onset of electrohydrodynamic instability of an elastico-viscous Walters' (model B') dielectric fluid layer
aDepartment of Mathematics Sidharth Govt. College, Nadaun Himachal Pradesh, India Visiting Faculty, India + Department of Mathematics Apex Professional University, Pasighat Arunachal Pradesh, India bDepartment of Mathematics Government College Nurpur District Kangra Himachal Pradesh, India cDepartment of Chemical Engineering Jeju National University Jeju, South Korea
e-adresa: drgcrana15@gmail.com
Sažetak
U ovom radu se istražuje uticaj električnog polja naizmenične struje na nastanak nestabilnosti elastično-viskoznog Voltersovog (model B') sloja dielektričnog fluida pod uticajem dielektroforetske sile nastale variranjem dielektrične konstante sa temperaturom. Primenom teorije linearne stabilnosti i metode analize normalnog moda izveli smo relaciju disperzije koja opisuje uticaj viskoelastičnosti i električnog polja naizmenične struje. U slučaju stacionarne konvekcije je utvrđeno da se Voltersov (model B') fluid ponaša kao običan njutnovski fluid, dok električno polje naizmenične struje ubrzava stacionarnu konvekciju. Dobijeni rezultati su u skladu sa ranije objavljenim rezultatima.
Abstract
In this paper we investigate the effect of AC electric field on the onset of instability of an elastico-viscous Walters' (model B') dielectric fluid layer stimulated by the dielectrophoretic force due to the variation of dielectric constant with temperature. By applying linear stability theory and normal mode analysis method, we derive the dispersion relation describing the influence of viscelasticity and AC electric field. For the case of stationary convection, it is observed that Walters' (model B') fluid behaves like an ordinary Newtonian fluid whereas AC electric field hastens the stationary convection. The present results are in good agreement with the earlier published results.
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