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Related Concept Videos

Hydrostatic Pressure Force on a Curved Surface01:04

Hydrostatic Pressure Force on a Curved Surface

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Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on...
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Gravity between Spherical Bodies01:27

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Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
This assumption can be proved easily by showing that the expression for gravitational potential energy between a hollow sphere of mass (M) and a point mass (m) is the same as it would be for a pair of extended...
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Hydrostatic Pressure Force on a Plane Surface01:04

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When a plane surface is submerged in a fluid, hydrostatic forces develop on the surface due to the fluid's pressure. For horizontal surfaces, the pressure exerted by the fluid is uniform because the depth remains constant. The resultant force is determined by the pressure at the given depth multiplied by the area of the surface, and it acts through the centroid of the surface. For vertical surfaces, the pressure varies with depth, increasing as the distance from the fluid's free surface...
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Stokes' Law01:20

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Viscous forces, like friction, are intermolecular forces that resist the relative motion of molecules over each other. When a solid body moves through a liquid, viscous forces drag it in the opposite direction. The force's magnitude depends on the solid's shape and size, as well as its speed and the liquid's coefficient of viscosity, density and temperature.
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Surface Tension of Fluid01:22

Surface Tension of Fluid

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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.
Surface tension varies...
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Excess Pressure Inside a Drop and a Bubble01:13

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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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Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
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Hydrodynamic force between a sphere and a soft, elastic surface.

Farzaneh Kaveh1, Javed Ally, Michael Kappl

  • 1Max Planck Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany.

Langmuir : the ACS Journal of Surfaces and Colloids
|September 9, 2014
PubMed
Summary
This summary is machine-generated.

Hydrodynamic forces between silica particles and soft surfaces differ from hard surfaces. Soft surfaces increase hydrodynamic attraction when a particle moves away, due to a larger gap area.

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Area of Science:

  • Soft matter physics
  • Colloid science
  • Fluid dynamics

Background:

  • Understanding particle-surface interactions is crucial in soft matter systems.
  • Hydrodynamic forces govern particle motion near interfaces.
  • Elasticity of surfaces significantly influences these interactions.

Purpose of the Study:

  • To measure and analyze the hydrodynamic drainage force between a silica particle and a soft polydimethylsiloxane (PDMS) surface.
  • To compare experimental results with theoretical models (finite element simulations and analytical models).
  • To investigate the influence of surface elasticity on hydrodynamic repulsion and attraction.

Main Methods:

  • Colloidal probe technique utilizing atomic force microscopy.
  • Experimental force measurements of a spherical silica particle approaching and retracting from a PDMS surface.
  • Comparison with finite element method (FEM) simulations and an analytical model.

Main Results:

  • Hydrodynamic repulsion was reduced when the silica particle approached the soft PDMS surface compared to a rigid substrate.
  • Hydrodynamic attraction increased significantly when the particle was pulled away from the soft surface.
  • The enhanced attraction on soft surfaces is attributed to a larger effective gap area between the sphere and the elastic plane.

Conclusions:

  • Surface elasticity fundamentally alters hydrodynamic forces at the particle-surface interface.
  • The observed deviations from hard-surface models highlight the importance of considering material deformation.
  • This study provides insights into fluid-mediated interactions in soft elastic systems.