Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Nanoparticle Based Water Treatment Model in Squeezing Channel under Magnetic Field

Version 1 : Received: 17 December 2021 / Approved: 20 December 2021 / Online: 20 December 2021 (09:37:36 CET)

How to cite: Zuev, S.; Hussain, Z.; Kabalyants, P. Nanoparticle Based Water Treatment Model in Squeezing Channel under Magnetic Field. Preprints 2021, 2021120295 (doi: 10.20944/preprints202112.0295.v1). Zuev, S.; Hussain, Z.; Kabalyants, P. Nanoparticle Based Water Treatment Model in Squeezing Channel under Magnetic Field. Preprints 2021, 2021120295 (doi: 10.20944/preprints202112.0295.v1).

Abstract

The process of water treatment by nanoparticles is one of the most considerable subjects in the cross-field of hydrodynamics, chemistry and mathematics. This paper is dedicated to the case of the flows that appear when squeezing and stretching a spongy with a mix of water with nanoparticles and contaminants. It is assumed that fluid is homogeneous at the starting moment, the parameters of the nanoparticles and contaminants are known, and there is a constant non-homogeneous magnetic field applied to the system. The flow starts moving when the walls of the channel shift to each other. Exact and numerical solutions of the system of ordinary differential equations are used to receive the results. The article gives an answer to the question about stability of the flow and proposes the technique to evaluate the essential characteristics of the system to achieve the treatment process efficiency. The main result is that the considered system shows excellent treatment properties during some part of squeezing stage. This effect does not appear without magnetic field.

Keywords

nano-fluid; nanoparticles removing; magnetohydrodynamics; stability of the flow; water treatment; exact solution; instability of the flow

Subject

MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics

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