共查询到20条相似文献,搜索用时 31 毫秒
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The solutions of the diffusion equations with a moving boundary for bubble dissolution (or growth) accompanied by a chemical reaction, were examined. From the viewpoint of the interaction between the convective transport and the chemical reactions, some approximations introduced to solve numerically the equations governing the bubble dissolution (or growth) were studied. For bubble dissolution in glassmelts with equilibrium redox reactions due to refining agents, the applicability of the convection transport approximations employed in the literature was discussed. It was found that our previously proposed model, in which the convective transport is neglected, agrees well with the rigorous finite-difference solution and is more reasonable compared with the approximate models proposed in the literature. Comparisons between our approximate model and the rigorous numerical solution indicate better agreement for dissolution of a bubble by simultaneous mass transfer and chemical reaction, compared with that by only mass transfer. © 1998 Chapman & Hall 相似文献
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Abstract In order to increase the accuracy of detached bubble volume prediction and to correct the theoretical weakness in models proposed previously, a modified two‐stage spherical bubble formation model is proposed in this study. This modified model takes account of an important factor, the length‐to‐diameter ratio of the micro‐hole by calculating the orifice constant with an entrance flow effect and expands the applicability of the modified model. Also, experimental tests were conducted to form bubbles at a submerged micro‐hole with diameters ranging from 60 to 1200 μm under variable pressure conditions due to continuous liquid drainage with drain rate ranging from 0.006 to 0.100 ml/s. The improved model indeed increases the ability to predict the detached bubble volume in the present study. Moreover, the results show that the condition for bubble formation in the present study could be shifted from a constant flow condition to a constant pressure condition depending on the orifice constant. 相似文献
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A numerical simulation is carried out of the exothermal heterogeneous reaction of cumene oxidation on the basis of a homogeneous
model of bubble liquid. The thermal properties of the bubble medium are determined according to the proposed model. The influence
of different factors is investigated on an oxidation level with a volume gas content value of more than 0.5. 相似文献
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The behavior of a single bubble and a pair of bubbles under microgravity conditions has been investigated using the NASA-DC9
aircraft in order to understand the effects of various parameters and to control the bubble behavior in space. Silicone oil
was used as the test liquid, and a nitrogen gas bubble was injected from the top wall under different experimental conditions.
In an isothermal case, two different microgravity conditions were achieved by either fixing the experimental apparatus to
the aircraft floor or freely floating the apparatus in the aircraft cabin. The bubble behavior was found to be clearly influenced
by the quality of the microgravity environment, and variations of the bubble aspect ratio with the Bond number were presented.
The results indicate that there is a critical Bond number of the order of 10−1 which determines the bubble shape deformation.
In the free-floating experiments, a temperature gradient was imposed on the liquid around the bubble near the heated top wall.
Marangoni convection was expected to occur around the bubble and the bubble behavior was studied under various temperature
gradients. The bubble aspect ratio was found to decrease with an increase in the Marangoni number. A theoretical model for
the relation between the Marangoni flow around the bubble and the aspect ratio is proposed based on simple assumptions. Visualization
of Marangoni convection around the bubbles using the photochromic dye activation method was successfully performed. The aspect
ratios predicted by the model agreed with the experimental results reasonably well. Direct measurements of surface velocity
are, however, necessary to further evaluate the validity of the model. 相似文献
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In discrete element method (DEM) for simulations of gas–solid fluidized beds, coarse grid calculation can lead to excessive smoothing of local porosities for correlating drag on individual particles. This article tries to calculate local porosities with consideration of the heterogeneous particle distribution within a coarse grid. The compromise-based local porosity (CLP) model is set up and incorporated into coarse grid DEM simulations of gas–solid fluidized beds with large particles. Simulated bubble size and shape are in good agreement with experimental results. Various complex bubbling phenomena are described such as bubble eruption, bubble rupture and bubble coalescence. The fluctuations of solid volume fraction, relative pressure and bed layer height simulated at the fine-tuned parameters are in general agreement with the experimental data. These results indicate that the proposed CLP model is suitable to characterize distinct heterogeneities within coarse grids. 相似文献
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《Advanced Powder Technology》2021,32(10):3525-3539
The discrete element method (DEM) coupled with computational fluid dynamics (CFD) is a powerful tool for exploring the detailed behaviors of dense particle–fluid interaction problems such as fluidized beds. Coarse-graining models have been proposed to decrease the computational cost by increasing the model particle size. In this study, we examine the influence of the model particle size and the spatial resolution on the average size and number of bubbles in coarse-graining DEM-CFD calculations of bubbling fluidized beds. Calculation results indicate that the bubble size is scaled by the model particle size if parameters are following similarity laws defined in a particle scale, as well as the geometric similarity of the whole system is maintained. The usage of coarse spatial resolution increases the bubble size and decreases the number of bubbles. The countervailing influence of the model particle size and the spatial resolution in a practical coarse-graining scenario results in nearly the same bubble size. 相似文献
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E. A. Smorodov 《Technical Physics Letters》2006,32(4):340-342
It is suggested to introduce a new term into the equation describing the cavitation bubble dynamics in a polar liquid that takes into account a finite relaxation rate of dipole molecules of the liquid during rapid collapse of the bubble. It is shown that solutions of the modified equation provide significantly lower values of the thermodynamic parameters of the gas at the end of the collapse, so that thermal mechanisms of the high-energy processes accompanying cavitation cannot be operative. A substantial difference between commonly accepted notions and the proposed physical mechanism of accumulation of the acoustic field energy is demonstrated, whereby the energy is concentrated in the electrostatic field of oriented dipoles rather than in the form of the energy of compressed gas in the cavitation bubble. Experimental data are presented that confirm the proposed model. 相似文献
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