Hydrodynamics of the motion of spherical particles, droplets, and bubbles in a non-Newtonian liquid: Analytical methods of investigation

Sokovnin, O. M.; Zagoskina, N. V.; Zagoskin, S. N.

doi:10.1134/s0040579512020121

Cited by 10 publications

(4 citation statements)

References 20 publications

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“…There are different formulas for effec tive viscosity [16][17][18], which are valid in certain α 2 and n ranges. The interfacial interaction force F 12 for non Newtonian liquids obeying the power law rheo logical equation (12) depends on the nonlinearity parameter n, Reynolds number, and α 2 and can be determined using the results of earlier studies [18][19][20].…”

Section: Theoretical Analysismentioning

confidence: 99%

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Heat and mass transfer simulation for thin-film two-phase emulsion flow over heated surfaces

Akhmadiev

Gil’fanov

2015

Theor Found Chem Eng

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The thermohydrodynamic situation in a thin film two phase emulsion flow over heated, arbi trarily shaped surfaces has been investigated with account taken of heat and mass transfer to the environment. The process has been described using conservation equations of multiphase flow mechanics. These equations have been written and simplified in an arbitrary orthogonal coordinate system tied to the flow surface, with the specific features of the flow taken into consideration. The problem has been solved semi analytically, approximately, using the Slezkin method. Numerical calculations have been carried out using the mathemat ical model constructed, and significant results for particular applications of the process have been obtained.

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Section: Theoretical Analysismentioning

confidence: 99%

“…at : (19) and relationship (16) with expression (18) for taken into account, which make up a system of a non linear algebraic equation and a first order ordinary differential equation. Here, S is the width (perimeter) of the flow surface.…”

Section: Thermal Boundary Layer Development Zonementioning

confidence: 99%

Heat and mass transfer simulation for thin-film two-phase emulsion flow over heated surfaces

Akhmadiev

Gil’fanov

2015

Theor Found Chem Eng

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“…In recent decades, there have been many studies to examine the behaviors of multiple flow problems involving non-Newtonian fluids. The approaches to the analytical modeling of the motion of droplets, particles, and bubbles in non-Newtonian liquids were summarized with emphasis on the non-Newtonian models and their effects [3]. More recently, the studies on the behaviors of drop motions through non-Newtonian fluids have been reviewed [4].…”

Section: Introductionmentioning

confidence: 99%

A New Solution of Drag for Newtonian Fluid Droplets in a Power-Law Fluid

Zhu

2024

Fluids

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Understanding flow behaviors of multiple droplets in complex non-Newtonian fluids is crucial in many science and engineering applications. In this study, a new and improved analytical solution is developed based on the free surface cell model for the flow drag of swamp of Newtonian fluid drops through a power-law fluid. The developed solution is accurate and compares well to the numerical solutions. The improvement involves a new quantification of shear stress boundary condition at the interface and a more consistent approximation in linearizing the power-law fluid flow governing equation. The Newtonian fluid solutions can be reasonably used to linearize the flow governing equation. The approximation of the boundary conditions at the interface, however, has a major impact on the model prediction. The main improvement in the new solution is observed under the condition of comparable viscosities of the Newtonian drops and the outside power-law fluid when the results are sensitive to the interface boundary condition. Under the two extreme conditions of high viscosity ratio (approaching particles) and low ratio (approaching bubbles), the present and existing solutions converge.

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“…Discrepancies between the modeled shapes of drops and those that actually occur are frequently [6][7][8][9] accepted as (sometimes rather significant) differences when comparing the results of theoretical studies of heat and mass transfer and hydrodynamics using such approaches and exper imental data. A determining influence of real shapes of drops, particles, and bubbles was also established for processes of their movement in liquids (see, e.g., [10][11][12][13]). …”

Section: Introductionmentioning

confidence: 99%

Experimental estimation of characteristic times of the existence of liquid drops in the form of a sphere and ellipse upon their movement in a gas environment under the conditions of moderate weber numbers

Волков

Кузнецов

2015

Theor Found Chem Eng

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The experimental procedure has been developed and studies using high speed (10 5 frames per sec ond) system of cross correlation video registration of a change in the shape of drops for the most typical liq uids that are widely used in various chemical technologies (water, kerosene, and ethyl alcohol) have been car ried out. The liquids move with significantly subsonic speeds (up to 5 m/s) in the air environment under the influence of gravitational forces. The initial sizes of drops varied in the range of 3-6 mm. The cyclic nature of the changes in the shapes of drops during movement has been established. Characteristic times of transi tions from one shape of drop to another have been measured. Characteristic times of the existence of drops in the form of spheres and ellipses have been defined. Recommendations about the use of geometrical models of liquid drops for theoretical study of heat and mass transfer and hydrodynamics in the course of their move ment through gas environments under the conditions of moderate Weber numbers have been formulated.

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Hydrodynamics of the motion of spherical particles, droplets, and bubbles in a non-Newtonian liquid: Analytical methods of investigation

Cited by 10 publications

References 20 publications

Heat and mass transfer simulation for thin-film two-phase emulsion flow over heated surfaces

Heat and mass transfer simulation for thin-film two-phase emulsion flow over heated surfaces

A New Solution of Drag for Newtonian Fluid Droplets in a Power-Law Fluid

Experimental estimation of characteristic times of the existence of liquid drops in the form of a sphere and ellipse upon their movement in a gas environment under the conditions of moderate weber numbers

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