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Phase Transitions: Vaporization and Condensation02:39

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The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules...
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The physical form of a substance changes by changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. For vaporization to occur, kinetic energy must be greater than the intermolecular forces that keep molecules bonded. The amount of energy needed to vaporize a quantity of liquid at a given pressure and a constant temperature is called the heat of vaporization. When...
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Distillation is a separation technique that takes advantage of the boiling point properties of disparate elements in a mixture. To perform distillation, we begin by heating a miscible mixture of two liquids with a significant difference in boiling points (at least 20°C). As the solution heats up and reaches the bubble point of the more volatile component, some molecules of the more volatile component transition into the gas phase and travel upward into the condenser, which is a glass tube...
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Capillarity describes the movement of liquid in small spaces without external forces acting on it. The capillarity is driven by surface tension and adhesive interactions between the liquid and surrounding solid surfaces. This effect is often seen in narrow tubes, porous materials, and fine particles.
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When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules move randomly about, they will occasionally collide with the surface of the condensed phase, and in some cases, these collisions will result in the molecules re-entering the condensed phase. The change from the gas phase to the liquid is called condensation. When the rate of condensation becomes equal to the rate of vaporization, neither the amount of the liquid nor the amount of the vapor...
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The shape of a small drop of liquid can be considered spherical, neglecting the effect of gravity. This drop can further be considered as two equal hemispherical drops put together due to surface tension. The forces acting on the spherical drop are due to the pressure of the liquid inside the drop, the pressure due to air outside the drop, and the force due to the surface tension acting on the two hemispherical drops.
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Dynamics of evaporating, interconnected droplets.

Chenyang Ren1,2, Sri Ganesh Subramanian1,2, Shresht Jain1,2

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Summary
This summary is machine-generated.

Fluid exchange between connected, evaporating droplets is driven by pressure differences. Droplet shape changes during evaporation can reverse this flow, a phenomenon explained by symmetry breaking and pitchfork bifurcation.

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Area of Science:

  • Fluid dynamics
  • Thermodynamics
  • Surface science

Background:

  • Sessile droplets connected by microchannels are open to the atmosphere, allowing evaporation.
  • Fluid exchange between droplets is influenced by hydrostatic and Laplace pressures.
  • Evaporation alters droplet volume and shape, impacting fluid transport.

Purpose of the Study:

  • To investigate the dynamics of fluid exchange between two connected, evaporating sessile droplets.
  • To understand the role of pressure differences and shape changes in driving and reversing flow.
  • To analyze the underlying mechanisms, including bifurcations, governing droplet interaction.

Main Methods:

  • Experimental observation of sessile droplet pairs connected by microchannels.
  • Analysis of fluid flow driven by hydrostatic and Laplace pressure differences.
  • Stability analysis to identify bifurcations in flow dynamics.
  • Investigation of droplet shape evolution during evaporation.

Main Results:

  • Fluid exchange occurs via pumping flow driven by pressure gradients.
  • Larger droplets typically feed smaller ones with unidirectional flow when contact areas are equal.
  • Unequal contact areas can lead to flow reversal due to droplet shape switching.
  • The flow dynamics are governed by a supercritical pitchfork bifurcation.

Conclusions:

  • Evaporation-driven flow in connected droplets is governed by pressure differences and shape dynamics.
  • Symmetry breaking, through unequal contact areas, induces flow reversal.
  • The system transitions through quasi-stationary states determined by volume loss.
  • Pitchfork bifurcation explains the observed flow dynamics and reversals.