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Warning: Table './drupal_gfn_web/watchdog' is marked as crashed and should be repaired query: INSERT INTO watchdog (uid, type, message, variables, severity, link, location, referer, hostname, timestamp) VALUES (0, 'php', '%message in %file on line %line.', 'a:4:{s:6:\"%error\";s:12:\"user warning\";s:8:\"%message\";s:6607:\"Table './drupal_gfn_web/cache_filter' is marked as crashed and should be repaired\nquery: UPDATE cache_filter SET data = '\\n<p>(<strong>Enrique López Pagés</strong>, February 2000)</p>\\n\\n<p>The triggering and devolpment of instabilities at the separating surface\\n(interface) between two streams of liquid and a gas, downstream of dividing\\nplates with infinitesimally thin and thick train edges are studied in this\\nThesis. The mixing layers between two flows of liquid an gas, as well as a this\\nliquid sheet injecte in /srv/www/gfn/includes/database.mysql.inc on line 135

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Numerical Simulation of Instabilities in Gas-Liquid Interfases | Grupo de Fluidodinámica Numérica

Numerical Simulation of Instabilities in Gas-Liquid Interfases

  • user warning: Table './drupal_gfn_web/cache_filter' is marked as crashed and should be repaired query: SELECT data, created, headers, expire, serialized FROM cache_filter WHERE cid = '3:848c14c4f61b9e9244a408b16c3610ff' in /srv/www/gfn/includes/cache.inc on line 27.
  • user warning: Table './drupal_gfn_web/cache_filter' is marked as crashed and should be repaired query: UPDATE cache_filter SET data = '\n<p>(<strong>Enrique López Pagés</strong>, February 2000)</p>\n\n<p>The triggering and devolpment of instabilities at the separating surface\n(interface) between two streams of liquid and a gas, downstream of dividing\nplates with infinitesimally thin and thick train edges are studied in this\nThesis. The mixing layers between two flows of liquid an gas, as well as a this\nliquid sheet injected between two gas coflows are analysed. Arbitrary initial\nperturbations are not imposed and the systems naturally develop instability,\ndepending on the geometric chracteristics and the flow parameters.</p>\n\n<p>Studies conducted by others investigators are described and the governing\nequation are derived in a correct dimensionless form. The Reynolds numbers of\nthe gas and liquid flowsm, the momentum flux ratio (or equivalently, dynamic\npressure ratio), the velocity ratio of the two strams and the ratio of the\nmomentum thickness for the two flows (or generally speaking, of two\ncharacteristic lengths in a direction perpendicular to the mean velocities) are\nthe key dimensionless groups. A geometric dimensionless parameter based on the\nplate thickness and other characteristic length appears in the finite\nthickness cases.</p>\n\n<p>In the numerical solution of the equations of motion the finite volume\ntechnique and the commercial code PHOENICS are utilised, with special emphasis\nin the use of high order accurate schemes for the discretization of the temporal\nand convective terms. For all the cases considered the two-dimensional\nNavier-Stokes and continuity equations for both fluid phases treated as\nincompressible, are solved. The equations for the two phases are coupled through\nthe kinematic conditions and those expressing normal and tangential stress\nbalances at interfaces. For single phase flows, a transport equation for the\nmixture fraction is also included.</p>\n\n<p>Subroutines are added to the ode for the tratment of two phase flows; they\nare designed as a part of this work and incorporate to the numerical solution\nthe method known as Volume of Fluid (VOF), in order to locate and follow the\nliquid-gas interface, the method named Continuum Surface Force, to model the\neffects of the surface tension force and alternating direction techniques for\nthe time integration.</p>\n\n<p>As a part of the implementation and validation of this mathematical tool to\nsimulate the flow downstream of plates with infinitesimally thin or thick\ntrailing edges, the mixing of lows of the same fluid and of fluids with slightly\ndensities are treated for the four injection geometries already mentioned. The\ntypical vorticity structures in a single phase mixing-layers and wakes are\nreproduced as well as the correct trend for the variation of Strouhal numbers as\na function of Reynolds number behind a thick trailing edge.</p>\n\n<p>The liquid-gas interface behaviour in a mixing layer behnind a solid plate of\nnon_negligible thickness for several gas flow Reynolds numbers are sudied. The\nresults show the formation of vorticity structures in the near wake and the\ndirect realation between the pressure fluctuations induced by those structures\nand the development of interface instabilities. These instabilities grow,\ngenerating filaments which in turn interact with those structures modifying the\nwake dynamics, the influence being greater for higher coflow Reynolds numbers.\nMoreover, the application of the Navier slip-condition for the interface/solid\ncontact line does not significantly alter the interface evolution, at least for\nthe values of the slip-coefficiednt employed. The displacementes of the contact\nline and the variation of the contact angle seem to be narrowly connected to\nwith the large fluctuation of the fluid fields in its neighbourbhood, which only\ntake place, for the cases analysed, as the starting flows reach the plate\ntrailing edge in their initial unsteady development.</p>\n\n<p>The instability of a thin liquid sheet surrounded by two symmetric gas\ncoflows is also investigated. The system behaviour, as the streams momentum flux\nratio is varied, is analysed. The effect of the surface tension force at he\ninterface is evaluated. Likewise, the influences of the contact lines slip\ncondition, of the liquid exit velocity profile and of the solid plates\nchickeness on the liquid sheet oscillation characteristics are studied.</p>\n\n<p>The results display the dynamics of both phases downstream of the plates\ntrailing edges, in the neighbourhood of the injection, and the gas flows\ninfluence on the interface. The vortex shedding in the gas phase determines the\npressure and velocity fields which cause the oscillation and the deformation of\nthe liquid sheet and fix, among other characteristics, its oscillation frequency\nand wavelength of the developed perturbation. For momentum flux ratios of order\nunity or larger, the liquid sheet oscillation frequency notably approaches that\nof gaseous vortex shedding. Under all circumstances, the phase velocity of the\ndeveloped perturbation approximately maintains a constant value, as predicted by\nlinear stability theory. For the cases analysed, the surface tension force does\nnot sensibly vary the liquid sheet oscillation frequency or the the wavelength;\nhowever, the distance of intact sheet, with no large deformations, seems to\nincrease and the interaction of the vortical structures generated on both sides\nof the sheet seems to be more intense. These interaction allows the development\nof other oscillation modes. On the other hand the application of the Navier\nslip-condition to the contact lines decreases the sheet oscillation frequency,\nwith no change of the phase speed. Different liquid-phase exit velocity profile\nmodify the dynamics of both phases in the neighbourhood of the injection and the\nvalues of the oscillation frequency and the wavelength, with no significant\nalterations of the phase velocity. Finally, an infinitesimally thin plate change\nthe sheet oscillation frequency values with respect to those for a thick plate,\nbut do not modify the phase speed or the global process dynamics.</p>\n\n<!-- by Texy2! -->', created = 1501210015, expire = 1501296415, headers = '', serialized = 0 WHERE cid = '3:848c14c4f61b9e9244a408b16c3610ff' in /srv/www/gfn/includes/cache.inc on line 112.
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(Enrique López Pagés, February 2000)

The triggering and devolpment of instabilities at the separating surface (interface) between two streams of liquid and a gas, downstream of dividing plates with infinitesimally thin and thick train edges are studied in this Thesis. The mixing layers between two flows of liquid an gas, as well as a this liquid sheet injected between two gas coflows are analysed. Arbitrary initial perturbations are not imposed and the systems naturally develop instability, depending on the geometric chracteristics and the flow parameters.

Studies conducted by others investigators are described and the governing equation are derived in a correct dimensionless form. The Reynolds numbers of the gas and liquid flowsm, the momentum flux ratio (or equivalently, dynamic pressure ratio), the velocity ratio of the two strams and the ratio of the momentum thickness for the two flows (or generally speaking, of two characteristic lengths in a direction perpendicular to the mean velocities) are the key dimensionless groups. A geometric dimensionless parameter based on the plate thickness and other characteristic length appears in the finite thickness cases.

In the numerical solution of the equations of motion the finite volume technique and the commercial code PHOENICS are utilised, with special emphasis in the use of high order accurate schemes for the discretization of the temporal and convective terms. For all the cases considered the two-dimensional Navier-Stokes and continuity equations for both fluid phases treated as incompressible, are solved. The equations for the two phases are coupled through the kinematic conditions and those expressing normal and tangential stress balances at interfaces. For single phase flows, a transport equation for the mixture fraction is also included.

Subroutines are added to the ode for the tratment of two phase flows; they are designed as a part of this work and incorporate to the numerical solution the method known as Volume of Fluid (VOF), in order to locate and follow the liquid-gas interface, the method named Continuum Surface Force, to model the effects of the surface tension force and alternating direction techniques for the time integration.

As a part of the implementation and validation of this mathematical tool to simulate the flow downstream of plates with infinitesimally thin or thick trailing edges, the mixing of lows of the same fluid and of fluids with slightly densities are treated for the four injection geometries already mentioned. The typical vorticity structures in a single phase mixing-layers and wakes are reproduced as well as the correct trend for the variation of Strouhal numbers as a function of Reynolds number behind a thick trailing edge.

The liquid-gas interface behaviour in a mixing layer behnind a solid plate of non_negligible thickness for several gas flow Reynolds numbers are sudied. The results show the formation of vorticity structures in the near wake and the direct realation between the pressure fluctuations induced by those structures and the development of interface instabilities. These instabilities grow, generating filaments which in turn interact with those structures modifying the wake dynamics, the influence being greater for higher coflow Reynolds numbers. Moreover, the application of the Navier slip-condition for the interface/solid contact line does not significantly alter the interface evolution, at least for the values of the slip-coefficiednt employed. The displacementes of the contact line and the variation of the contact angle seem to be narrowly connected to with the large fluctuation of the fluid fields in its neighbourbhood, which only take place, for the cases analysed, as the starting flows reach the plate trailing edge in their initial unsteady development.

The instability of a thin liquid sheet surrounded by two symmetric gas coflows is also investigated. The system behaviour, as the streams momentum flux ratio is varied, is analysed. The effect of the surface tension force at he interface is evaluated. Likewise, the influences of the contact lines slip condition, of the liquid exit velocity profile and of the solid plates chickeness on the liquid sheet oscillation characteristics are studied.

The results display the dynamics of both phases downstream of the plates trailing edges, in the neighbourhood of the injection, and the gas flows influence on the interface. The vortex shedding in the gas phase determines the pressure and velocity fields which cause the oscillation and the deformation of the liquid sheet and fix, among other characteristics, its oscillation frequency and wavelength of the developed perturbation. For momentum flux ratios of order unity or larger, the liquid sheet oscillation frequency notably approaches that of gaseous vortex shedding. Under all circumstances, the phase velocity of the developed perturbation approximately maintains a constant value, as predicted by linear stability theory. For the cases analysed, the surface tension force does not sensibly vary the liquid sheet oscillation frequency or the the wavelength; however, the distance of intact sheet, with no large deformations, seems to increase and the interaction of the vortical structures generated on both sides of the sheet seems to be more intense. These interaction allows the development of other oscillation modes. On the other hand the application of the Navier slip-condition to the contact lines decreases the sheet oscillation frequency, with no change of the phase speed. Different liquid-phase exit velocity profile modify the dynamics of both phases in the neighbourhood of the injection and the values of the oscillation frequency and the wavelength, with no significant alterations of the phase velocity. Finally, an infinitesimally thin plate change the sheet oscillation frequency values with respect to those for a thick plate, but do not modify the phase speed or the global process dynamics.