Growth of a Vapour Bubble in a Superheated Liquid of Variable Surface Tension and Viscosity Between Two-phase Flow

Abstract

Abstract:The growth of a vapour bubble in a superheated liquid of variable surface tension and viscosity between two finite boundaries is introduced. The problem is solved analytically using the modified method of Plesset and Zwick method. The pressure difference is described in terms of temperature difference and initial pressure difference. The surface tension, viscosity, and initial and final time of bubble growth are derived in terms of some physical parameters. The growth of bubble radius is proportional to the thermal diffusivity, the initial pressure difference and its coefficient. On contrary the growth is inversely proportional to the initial void fraction and the density ratio. Moreover, better agreements with some experimental data are achieved rather than some of previous theoretical efforts.

The Peristaltic Motion inside a Vertical Cylindrical Tube Surrounded Vapour Bubble with Two-Phase Density Flow

“…In the Figures 12, and 13 the growth of vapour bubbles is plotted in terms of density ratio V , and amplitude ratio respectively. It is clearly, the radius of vapour bubble is proportional inversely with density ratio V , and amplitude ratio , this results is agreement with Mohammadein and Gouda [ 27]. …”

“…(c) The relation between the bubble radius with the density ratio V, amplitude ratio gives better agreements with Ref. [27]. The above concluded remarks prove the validity of the proposed model, and how to extend the present model in more properties of fluid and flow.…”

Theoretical investigation of a single vapor bubble during Al2O3/H2O nanofluids in power-law fluid affected by a variable surface tension

“…As a result of the complex problem of the bubble motion, the properties of such phenomena in non-Newtonian nanofluids are still not well understood. Furthermore, the complexity degree increases with bubble size because several parameters affect bubble rise velocity, trajectory, and bubble form [13][14][15][16][17][18][19][20]. On other hand, as the bubble rises through the nanofluid, the maximum resistance is placed directly on the top.…”

New Modeling Strategies Evaluate Bubble Growth in Systems of Finite Extent: Energy and Environment Implications

“…In another work, Mohammadein and Mohammed developed a new model for the growth of a vapor bubble in a superheated liquid, in terms of surface tension and viscosity between two finite boundaries. 23 Their model resulted in an analytical solution through using the modified version of Plesset and Zwick method. 15 Hashemi and Abedi introduced an analytical solution for the new phase growth in infinite extent.…”

“…As a result, the concentration distribution around the bubbles was obtained. In another work, Mohammadein and Mohammed developed a new model for the growth of a vapor bubble in a superheated liquid, in terms of surface tension and viscosity between two finite boundaries . Their model resulted in an analytical solution through using the modified version of Plesset and Zwick method .…”