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  • Authors: Vinh T. Nguyen; Truong V. Vu; Phan H. Nguyen; Nang X. Ho; Binh D. Pham; Hoe D. Nguyen; Hung V. Vu;  Advisor: -;  Co-Author: - (2021)

    Compound and simple droplets have been studied and appeared in many life applications, e.g., drug processing and microfluidic systems. Many studies have been conducted on the thermocapillary effects on simple droplets, but similar studies on compound droplets are quite rare. Filling this missing gap, this paper presents the front-tracking-based simulation results of the thermocapillary effects on compound droplets in a certain limited domain. The compound droplet consists of a single inner core that is initially concentric with the outer one. Various dimensionless parameters including Reynolds number from 1 to 50, Marangoni number from 1 to 100, droplet radius ratio from 0.3 to 0.8, and viscosity ratios from 0.1 to 6.4 are varied to reveal their influences on the migration of a comp...

  • Authors: Dang T. Bui; Hung V. Vu; Quang D. Nguyen; Truong V. Vu;  Advisor: -;  Co-Author: - (2021)

    This study’s aim is to improve the understanding of the dynamical behavior of a multi-core compound droplet traveling in an axisymmetric channel consisting of a diffuser element. The compound droplet typically consisting of two inner droplets distributed one after another is initially located at a certain distance from the entrance of the channel. A front-tracking method is used to handle the movement and deformation of the droplet. The numerical simulation results show that the compound droplet is stretched in the channel, and it takes a certain time, “the transit time”, to pass through the diffuser. The compound droplet has the largest deformation in the diffuser region and tends to return to its nearly original shape after leaving the diffuser. The deformation and transit time of...

  • Authors: Vinh T. Nguyen; Truong V. Vu; Phan H. Nguyen; Hoe D. Nguyen; Binh D. Pham; Hung V. Vu;  Advisor: -;  Co-Author: - (2022)

    In this paper, we numerically investigate the dynamics of a compound droplet driven by surface tension variation induced by a thermal gradient in a sinusoidal constriction tube. Initially, the compound droplet with a concentric inner core is spherical and placed in the constriction's upstream region at a low temperature. As time progresses, it migrates downstream with a high temperature. Due to the constriction, the droplet is slowed down in the upstream region and accelerated again right after passing the constriction. This acceleration maximizes the eccentricity. However, the constriction results in an increase in the maximum eccentricity when increasing its depth to a value corresponding to the size of the tube neck, which is greater than or equal to the droplet size. Effects of ...

  • Authors: Truong V. Vu;  Advisor: -;  Co-Author: - (2021)

    A compound droplet solidifying on a cold curved surface in a gaseous environment is numerically studied by an axisymmetric three-phase front tracking method. The compound droplet containing an inner core of gas is initially assumed to be part of a sphere, and the curved surface is maintained at temperature below the solidification point of the shell liquid. The effects of the radius of the cold surface, volume change (in terms of the solid-to-liquid density ratio ρsl), supercooling degree (in terms of the Stefan number St), growth angle ϕgr and shell liquid thickness on the solidified droplet shape, the solidification rate and the solidification times are under consideration. Volume expansion (ρsl < 1.0) induces an apex, and volume shrinkage (ρsl > 1.0) results in a cavity on top of...

  • Authors: Truong V. Vu; Binh D. Pham; Nang X. Ho; Hung V. Vu;  Advisor: -;  Co-Author: - (2022)

    This study presents a front-tracking-based numerical analysis of the forced convection solidification of a sessile droplet on a cooling surface. The droplet, a hollow (or compound) droplet with an encapsulated gas core, undergoes a liquid-to-solid phase change in its shell. This phase change starts from the surface. Meanwhile, the surrounding gas, which is characterized by its Reynolds number Re and temperature, moves toward the droplet parallel to the axis of symmetry. When the temperature of the forced flow is below the solidification value (i.e., cold-forced convection), increasing the strength of the forced flow shortens the solidification process. In contrast, increasing the Re number of a hot-forced convection system prolongs solidification. In other words, an increase in the ...

  • Authors: Binh D. Pham; Truong V. Vu; Lien V. T. Nguyen; Nang X. Ho; Cuong T. Nguyen; Hoe D. Nguyen; Vinh T. Nguyen; Hung V. Vu;  Advisor: -;  Co-Author: - (2021)

    In this study, the solidification process of a compound droplet is numerically simulated by an axisymmetric front-tracking/finite difference technique. The compound droplet placed on a cold flat surface in a gas environment consists of an inner gas core surrounded by a concentric shell phase-change liquid that forms an outer droplet. The initial droplet shape assumed as a spherical cap is therefore determined by two wetting angles known as the inner wetting angle (?0i for the inner core) and the outer wetting angle (?0o for the outer droplet). During the solidification process, there is the presence of two three-junction points where a prescribed growth angle ? is specified. We analyze the solidification process undergoing the influence of the geometrical aspects of the compound dro...

  • Authors: Vinh T. Nguyen; Truong V. Vu; Phan H. Nguyen;  Advisor: -;  Co-Author: - (2022)

    The present paper focuses on the motion due to the thermocapillary force of a droplet in a circular tube through the front-tracking-based simulation. The tube profile in the axial direction is generated with a sinusoidal function that induces a constriction with depth d at the middle. The droplet is slowed down as it migrates from the cold region (ahead of the constriction) to the hot region in the downstream. Various parameters including the Marangoni number Ma, the capillary number Ca and the depth of the constriction d are varied to better understand the thermocapillary motion of the droplet under the influence of the constriction. The simulation results show that when the Ma number increases, the influence factor of the constriction increases and the migration velocity of the dr...

  • Authors: Truong V. Vu; Binh D. Pham; Phuc H. Pham; Hung V. Vu; Bo X. Tran;  Advisor: -;  Co-Author: - (2021)

    We present a numerical investigation of the breakup and freezing of a pendant hollow water drop beneath a cold curved surface. The drop contains a bubble surrounded by a shell of water that forms at an outer wetting angle of θo with the surface. The freezing begins on the cold curved surface and evolves in the direction of gravity. As it freezes, the water accumulates and forms a bulbous end at the bottom of the drop. Breakup can occur, inducing a daughter water drop. As a result, the freezing process of the remaining hollow drop attached to the surface takes less time, and the frozen drop shrinks. However, this breakup has no effect on the bubble. The various parameters under consideration include the Bond number Bo, the Stefan number St, the size of the bubble, and the angle θo. I...