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Related Concept Videos

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Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
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When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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Surface tension is a fundamental property of fluids, occurring at the boundary between a liquid and a gas or between two immiscible liquids. This phenomenon arises from the cohesive forces between molecules at the fluid's surface, creating an effect similar to a stretched elastic membrane. Inside each fluid, molecules are equally attracted in all directions by neighboring molecules, but surface molecules experience a net inward force, resulting in surface tension.
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Viscosity of Fluid01:19

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Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
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Steady, Laminar Flow Between Parallel Plates01:17

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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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Typical Model Studies01:30

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Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
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Evolution dynamics of thin liquid structures investigated using a phase-field model.

Yanchen Wu1,2, Fei Wang1,2, Sai Zheng1

  • 1Institute for Applied Materials - Microstructure Modelling and Simulation (IAM-MMS), Karlsruhe Institute of Technology (KIT), Straße am Forum 7, Karlsruhe 76131, Germany. yanchen.wu@kit.edu.

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Summary
This summary is machine-generated.

This study uses 3D phase-field simulations to explore how liquid structures like torus droplets evolve. Key parameters like Reynolds number (Re) and Weber number (We) influence droplet breakup and formation dynamics.

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Area of Science:

  • Fluid dynamics
  • Soft matter physics
  • Computational physics

Background:

  • Liquid structures, such as thin films and torus droplets, are common in everyday applications.
  • Understanding their morphological evolution is crucial for controlling droplet formation and behavior.

Purpose of the Study:

  • Investigate the morphological evolution of liquid structures on solid substrates and in immiscible fluids.
  • Analyze the interplay of surface energy, kinetic energy, and viscous dissipation in droplet dynamics.
  • Identify key parameters influencing droplet formation and breakup phenomena.

Main Methods:

  • Employed three-dimensional (3D) phase-field (PF) simulations.
  • Characterized evolution dynamics by varying Reynolds number (Re) and Weber number (We).
  • Analyzed droplet profiles and wettability effects on substrates with different contact angles.

Main Results:

  • Observed unique droplet breakup phenomena influenced by Re and We.
  • Found shape evolution is dependent on initial shape, Re, We, and substrate wettability.
  • Demonstrated that evolution dynamics result from competition between coalescence and hydrodynamic instability.

Conclusions:

  • Key parameters like initial shape, Re, We, wettability, and wall relaxation significantly impact droplet dynamics and formation.
  • Insights gained can inform advancements in droplet-based technologies such as inkjet printing and microfluidics.