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Modeling the dynamics of a charged drop of a viscous liquid

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Geometric Methods in Physics XXXVII

Part of the book series: Trends in Mathematics ((TM))

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Abstract

We consider a mathematical model of motion, conducting drops of a viscous fluid, immersed in a dielectric viscous fluid of infinite length and changing under the influence of capillarity and electrostatic repulsion. Using the equations of hydrodynamics and electromagnetism and a number of physically realistic assumptions, the problem is reduced to a system of partial differential equations. The solution of such a system of equations is particularly difficult. Computer simulation in the COMSOL Multiphysics environment allowed us to obtain changes of the shape the charged of drop with time.

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Correspondence to Bakyt S. Shalabayeva .

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Shalabayeva, B.S., Jaichibekov, N., Kutpanova, Z.A., Kireev, V.N. (2019). Modeling the dynamics of a charged drop of a viscous liquid. In: Kielanowski, P., Odzijewicz, A., Previato, E. (eds) Geometric Methods in Physics XXXVII. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-34072-8_20

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