Stabilization of bulk nanobubbles with a hydrate layer

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The stabilization of nanobubbles is considered with the balance of the Laplace pressure at their boundary due to surface tension and electrostatic pressure due to Coulomb forces. The presence of a hydrate layer of thickness ~1 nm with a tangential orientation of water dipoles around it is taken into account, the low permittivity of which, approximately equal to 3, increases the pressure at the nanobubble boundary. The sizes and charge of a stable nanobubble are determined. It is shown that in salt water, the hydration layer, regardless of the charge of the nanobubble, increases the pressure at its boundary by almost 30 times, and in fresh water - several times less.

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Yu. Levin

Институт прикладной механики РАН

编辑信件的主要联系方式.
Email: iam-ras@mail.ru
俄罗斯联邦, 125040, Москва, Ленинградский просп., д. 7, стр. 1

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2. Fig. 1. Shell structure of the bulk nanobubble.

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3. Fig. 2. Plots of Pi(r0) pressures at the nanobubble boundary (q0 = 4. 10-16 Cl) on its radius: curves 1, 2 - pressures P1(r0) and P2(r0) for ONP without -layer in salty (c = 100 mol/m3) and pure (c = 1 mol/m3) water, respectively; curves 3, 4 - pressures P3(r0) and P4(r0), for ONP with -layer in saline (c = 100 mol/m3) and pure (c = 1 mol/m3) water, respectively; curve 5 - Laplace pressure P5(r0) = PL(r0) according to formula (2).

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4. Fig. 3. Graph of dependence of the ratio P(r0)/PC(r0) on the ONP radius with and without -layer: curve 1 - pressure ratio k0(r0) = P4(r0)/P2(r0) in pure water (c = 1 mol/m3); curve 2 - pressure ratio ks(r0) = P3(r0)/P1(r0) in salt water (c = 100 mol/m3).

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