Surface and Interfacial Tension: Measurement, Theory, and by Stanley Hartland

By Stanley Hartland

This edited quantity bargains entire insurance of the most recent theoretical, experimental, and computer-based information as summarized by way of prime foreign researchers. It promotes complete figuring out of the actual phenomena and mechanisms at paintings in floor and interfacial tensions and gradients, their direct influence on interface form and move, and their importance to various functions. Assessing equipment for the actual dimension of floor rigidity, interfacial pressure, and call angles, floor and Interfacial rigidity provides glossy simulations of advanced interfacial motions, comparable to bubble movement in beverages, and authoritatively illuminates bubble nucleation and detachment.

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Extra info for Surface and Interfacial Tension: Measurement, Theory, and Applications (Surfactant Science), 1st Edition

Sample text

The terms inside the parentheses represent the driving forces due to gravity (qg) and the gradient of Plateau border suction B/Bz(r/rp). , when the liquid fraction (and hence rp) is smaller at the top). Leonard and Lemlich [21] were the first to consider the effects of surface viscosity on drainage in a Plateau border channel. However, Eq. (36), which differs from their equation only by a constant factor, has been used more frequently because Desai and Kumar have provided a very simple equation for cv.

Between z = 0 and z = z1), a mass balance for the bubbling gas can be written as: Z d GA ¼ dt z2 Að1 À eÞdz þ A z1 dz1 dt ð125Þ In Eq.

Each is discussed separately. (a) Case 1: Separation of the Continuous Phase. Let us define a critical volume: rffiffiffiffiffiffiffiffiffiffiffiffiffi! rffiffiffiffiffiffiffiffiffiffiffiffiffi  r 1 À eb KUgR0 L0 1 À eb À1 À1 Vc u tan þ ð107Þ À tan eb r eb KUgR0 A comparison with Eq. (98) indicates that Vc is the volume of the continuous phase per unit cross-section in an equilibrated foam when z1e = 0 and z2e = L0 (see Fig. 10). Thus, if e0L0 = Vc, the continuous phase will redistribute itself until an equilibrium is established with eAz¼z2 ¼ eb.

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