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Related Concept Videos

Fluid Pressure over Curved Plate of Constant Width01:12

Fluid Pressure over Curved Plate of Constant Width

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...
Pressure of Fluids01:14

Pressure of Fluids

There are many examples of pressure in fluids in everyday life, such as in relation to blood (high or low blood pressure) and in relation to weather (high- and low-pressure weather systems). A given force can have a significantly different effect, depending on the area over which the force is exerted. For instance, a force applied to an area of 1 mm2 has a pressure that is 100 times greater than the same force applied to an area of 1 cm2. That's why a sharp needle is able to poke through skin...
Hydrostatic Pressure Force on a Curved Surface01:04

Hydrostatic Pressure Force on a Curved Surface

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...
Fluid Pressure over Flat Plate of Variable Width01:02

Fluid Pressure over Flat Plate of Variable Width

When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
Fluid Pressure01:14

Fluid Pressure

In mechanical engineering, fluid pressure plays a critical role in designing systems that utilize liquid flow, such as hydraulic systems, pumps, and valves. When designing these systems, engineers must ensure they can withstand the forces created by fluid pressure to avoid damage or failure.
According to Pascal's law, a fluid at rest will generate equal pressure in all directions. This pressure is measured as a force per unit area, and its magnitude depends on the fluid's specific weight or...

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Updated: Jun 9, 2026

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
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Effective forces in square well and square shoulder fluids.

D Fiocco1, G Pastore, G Foffi

  • 1Institute of Theoretical Physics, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland.

The Journal of Physical Chemistry. B
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We developed a new formula for forces between large spheres in a fluid of small spheres, applicable to various interactions. This helps predict material behavior and phase diagrams.

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Area of Science:

  • Colloid science
  • Statistical mechanics
  • Materials science

Background:

  • Understanding forces between particles is crucial for predicting material properties.
  • Existing models often simplify interactions, limiting their applicability.

Purpose of the Study:

  • To derive an analytical expression for the effective force between two macrospheres in a microsphere fluid.
  • To extend existing models to include square well or square shoulder interactions.

Main Methods:

  • Derivation of an analytical force expression.
  • Analysis in the limit of no interaction between small particles.
  • Comparison with integral equation theories (Percus-Yevick and Hypernetted-Chain) and Monte Carlo simulations.

Main Results:

  • An analytical formula for effective force was derived, extending previous work.
  • The study analyzed force profiles and phase diagrams.
  • Integral equation theories and simulations validated the derived force expression.

Conclusions:

  • The new formula provides a more comprehensive description of inter-macrosphere forces.
  • This work advances the understanding of phase behavior in multi-component colloidal systems.
  • The findings have implications for designing and predicting the properties of complex fluids and materials.