Instabilities of a gas-liquid flow between two inclined plates analyzed using the Navier–Stokes equations

2017 ◽  
Vol 95 ◽  
pp. 144-154 ◽  
Author(s):  
Yu.Ya. Trifonov
Keyword(s):  
Liquid Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Gas Liquid Flow ◽  
Inclined Plates

VOF Simulations of Gas Bubbles Motion in a Reciprocally Stirred Flow

2010 ◽  
Vol 44-47 ◽  
pp. 2494-2498
Author(s):  
Hong Liu ◽  
Mao Zhao Xie ◽  
Hong Chao Yin ◽  
De Qing Wang
Keyword(s):  
Surface Tension ◽  
Flow Field ◽  
Numerical Simulations ◽  
Liquid Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Mesh Method ◽  
Gas Liquid Flow

This paper reports progress in the numerical simulations of movement and the coalescence of two neighbor bubbles (leading and trailing bubble) in a reciprocally stirred liquid flow field. The full Navier-Stokes equations are solved by the volume-of fluid (VOF) method for tracking the interface between the bubble and the liquid flow. A dynamic mesh method was used to predict the gas-liquid flow in a two-dimensional foaming tank. Results indicate that the motion and merge behavior of the bubbles is dominantly influenced by the initial locations and the sizes of the bubbles as well as by the surface tension, while the reciprocating effect is insignificant.

scholarly journals Direct Numerical Simulation of Liquid Flow in a Horizontal Microchannel

2005 ◽  
Author(s):  
Cenk Evren Ku¨krer ◽  
I˙lker Tarı
Keyword(s):  
Liquid Flow ◽  
Energy Equation ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Micro Channel ◽  
Governing Equations ◽  
Qualitative Comparison ◽  
Navier Stokes Equations ◽  
Axial Conduction ◽  
Micro Channels

Numerical Simulations of liquid flow in a micro-channel between two horizontal plates are performed. The channel is infinite in streamwise and spanwise directions and its height is taken as 3.1×10−4 m which falls within the dimension ranges of micro-channels. The Navier-Stokes equations with the addition of Brinkman number (Br) to the energy equation are used as the governing equations and a spectral methods based approach is applied to obtain the required accuracy to handle liquid flow in the micro-channel. It is known for micro-channels that Br combines the effects of conduction and viscous dissipation in liquids and is also a way of comparing the importance of later relative to former. A laminar flow of a liquid in a micro-channel shows different characteristics compared to a similar flow in a macro-channel. To observe the differences, three different cases are run over each of a range of Reynolds numbers: one with no axial conduction assumption that correspond to a case similar to macro-channel flow, another case with axial conduction included in the energy equation to simulate one of the main differences and lastly a case with inclusion of Br number in the governing equations. The results are compared with each other to see the effects of axial conduction and Br inclusion. A qualitative comparison is made with the previous results in literature.

scholarly journals Comparison between numerical and experimental water-in-oil dispersion in a microchannel

2017 ◽  
Author(s):  
Dominique Tarlet ◽  
Philippe Desjonquères ◽  
Thibault Ménard ◽  
Jérôme Bellettre
Keyword(s):  
Experimental Data ◽  
Level Set ◽  
Liquid Flow ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Experimental Setup ◽  
Navier Stokes Equations ◽  
Dispersion Process ◽  
Liquid Dispersion ◽  
Precise Knowledge

The dispersion of water inside a flow of oil is investigated in a microfluidic device, producing a water-in-oilemulsion. The liquid–liquid flow mainly differs from those presented in existing literature through its high capillary number (between 3 and 14), and in the head-on collision between water and oil streams. By comparing with experimental data, numerical simulations can provide more information about the topology of the flow. A coupled Volume of Fluid and Level Set method (CLSVOF) is used to treat the interface between both phases and incompressible Navier-Stokes equations are solved. Three set of parameters, close to those in the experimental setup, are investigated to compare experimental and numerical results. The comparison between experiments and simulation provides a precise knowledge of the liquid-liquid dispersion process and the overall flow patternwithin the microfluidic device.DOI: http://dx.doi.org/10.4995/ILASS2017.2017.4717

Effects of stator splitter blades on aerodynamic performance of a single-stage transonic axial compressor

2020 ◽  
Vol 14 (4) ◽  
pp. 7369-7378
Author(s):  
Ky-Quang Pham ◽  
Xuan-Truong Le ◽  
Cong-Truong Dinh
Keyword(s):  
Stokes Equations ◽  
Three Dimensional ◽  
Axial Compressor ◽  
Aerodynamic Performance ◽  
Numerical Results ◽  
Single Stage ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Operating Stability ◽  
Length Coverage

Splitter blades located between stator blades in a single-stage axial compressor were proposed and investigated in this work to find their effects on aerodynamic performance and operating stability. Aerodynamic performance of the compressor was evaluated using three-dimensional Reynolds-averaged Navier-Stokes equations using the k-e turbulence model with a scalable wall function. The numerical results for the typical performance parameters without stator splitter blades were validated in comparison with experimental data. The numerical results of a parametric study using four geometric parameters (chord length, coverage angle, height and position) of the stator splitter blades showed that the operational stability of the single-stage axial compressor enhances remarkably using the stator splitter blades. The splitters were effective in suppressing flow separation in the stator domain of the compressor at near-stall condition which affects considerably the aerodynamic performance of the compressor.

Sensitivity analysis for Navier-Stokes equations on unstructured meshes using complex variables

AIAA Journal ◽  
2001 ◽  
Vol 39 ◽  
pp. 56-63
Author(s):  
W. Kyle Anderson ◽  
James C. Newman ◽  
David L. Whitfield ◽  
Eric J. Nielsen
Keyword(s):  
Sensitivity Analysis ◽  
Stokes Equations ◽  
Unstructured Meshes ◽  
Complex Variables ◽  
Navier Stokes ◽  
Navier Stokes Equations
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