Numerical simulation of drop Marangoni migration under microgravity

Wang, Yanxing; Lu, Xi‐Yun; Zhuang, Lixian; Tang, Zhongfeng; Hu, Wenrui

doi:10.1016/s0094-5765(03)00158-9

Cited by 24 publications

(10 citation statements)

References 20 publications

(66 reference statements)

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“…3, are 0.23, 1.22 and 0.68, which compare well with the experimental data of approximately 0.22, 1.18 and 0.62, respectively, cited by Lu and Dalton (1996). The present computational code was also verified by our previous work ; Shen et al (2003); Wang et al (2004)]. Thus, it can be confirmed that our calculation is reliable for the prediction of the formation and shedding of vortices from the cylinder and the foil.…”

Section: Resultssupporting

confidence: 88%

Vortex formation and force characteristics of a foil in the wake of a circular cylinder

Liao

Dong

2004

Journal of Fluids and Structures

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Section: Resultssupporting

confidence: 88%

Vortex formation and force characteristics of a foil in the wake of a circular cylinder

Liao

Dong

2004

Journal of Fluids and Structures

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“…The details of relevant discretized formulation for the solution of the time-dependent incompressible Navier-Stokes equations were described by Kovacs and Kawahara [34]. In our previous study, some validations by using the ÿnite element approach have already been carried out [20,35].…”

Section: Methodsmentioning

confidence: 99%

Numerical analysis of the rotating viscous flow approaching a solid sphere

Wang

Zhuang

2004

Numerical Methods in Fluids

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SUMMARYA numerical simulation is performed to investigate the ow induced by a sphere moving along the axis of a rotating cylindrical container ÿlled with the viscous uid. Three-dimensional incompressible Navier-Stokes equations are solved using a ÿnite element method. The objective of this study is to examine the feature of waves generated by the Coriolis force at moderate Rossby numbers and that to what extent the Taylor-Proudman theorem is valid for the viscous rotating ow at small Rossby number and large Reynolds number. Calculations have been undertaken at the Rossby numbers (Ro) of 1 and 0.02 and the Reynolds numbers (Re) of 200 and 500. When Ro = O(1), inertia waves are exhibited in the rotating ow past a sphere. The e ects of the Reynolds number and the ratio of the radius of the sphere and that of the rotating cylinder on the ow structure are examined. When Ro 1, as predicted by the Taylor-Proudman theorem for inviscid ow, the so-called 'Taylor column' is also generated in the viscous uid ow after an evolutionary course of vortical ow structures. The initial evolution and ÿnal formation of the 'Taylor column' are exhibited. According to the present calculation, it has been veriÿed that major theoretical statement about the rotating ow of the inviscid uid may still approximately predict the rotating ow structure of the viscous uid in a certain regime of the Reynolds number.

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“…Under the assumption of a non-deformable droplet, the radial coordinate axis is the outer normal vector of the interface. By using the transformation (25), the boundary conditions (7) and (8) can be, respectively, written as follows: …”

Section: Quasi-steady-state Assumptionmentioning

confidence: 99%

“…To include small inertial effects, the YGB model analysis was extended to the range of small Ma numbers [24]. For finite Ma numbers, several numerical simulations on the three-dimensional thermocapillary motion of non-deformable and deformable droplets were reported by Wang et al [25] and Haj-Hariri et al [17], respectively. They used the front-tracking and level-set methods to catch the interface and investigate the effects of physical parameters on migration speeds and mobility, respectively.…”

Section: Introductionmentioning

confidence: 99%

Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers

2011

Acta Mech

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Thermocapillary migration of a planar non-deformable droplet in flow fields with two uniform temperature gradients at moderate and large Marangoni numbers is studied numerically by using the front-tracking method. It is observed that the thermocapillary motion of planar droplets in the uniform temperature gradients is steady at moderate Marangoni numbers, but unsteady at large Marangoni numbers. The instantaneous migration velocity at a fixed migration distance decreases with increasing Marangoni numbers. The simulation results of the thermocapillary droplet migration at large Marangoni numbers are found in qualitative agreement with those of experimental investigations. Moreover, the results concerned with steady and unsteady migration processes are further confirmed by comparing the variations of temperature fields inside and outside the droplet. It is evident that at large Marangoni numbers the weak transport of thermal energy from outside of the droplet into inside cannot satisfy the condition of a steady migration process, which implies that the advection around the droplet is a more significant mechanism for heat transfer across/around the droplet at large Ma numbers. Furthermore, from the condition of overall steady-state energy balance in the flow domain, the thermal flux across its surface is studied for a steady thermocapillary droplet migration in a flow field with uniform temperature gradient. By using the asymptotic expansion method, a non-conservative integral thermal flux across the surface is identified in the steady thermocapillary droplet migration at large Marangoni numbers. This non-conservative flux may well result from the invalid assumption of a quasi-steady state, which indicates that the thermocapillary droplet migration at large Marangoni numbers cannot reach a steady state and is thus an unsteady process.

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Numerical simulation of drop Marangoni migration under microgravity

Cited by 24 publications

References 20 publications

Vortex formation and force characteristics of a foil in the wake of a circular cylinder

Vortex formation and force characteristics of a foil in the wake of a circular cylinder

Numerical analysis of the rotating viscous flow approaching a solid sphere

Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers

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