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In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
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Gradually Varying Flow01:29

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Gradually varying flow (GVF) in open channels describes situations where water depth changes slowly along the channel due to factors like non-uniform bed slope, channel shape variations, or obstructions. This flow type occurs when the depth adjusts gradually to balance gravitational forces, shear forces, and energy requirements, resulting in a low rate of depth change.Characteristics of Gradually Varying FlowGVF is commonly observed in natural streams, rivers, and canals, where flow depth...
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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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In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
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Heat and temperature are essential concepts for everyone every day. The study of heat and temperature is part of an area of physics known as thermodynamics. It is not always easy to distinguish heat and temperature.
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Granular Temperature Controls Local Rheology of Vibrated Granular Flows.

Mitchell G Irmer1, Emily E Brodsky2, Abram H Clark1

  • 1Naval Postgraduate School, Department of Physics, Monterey, California 93943, USA.

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Summary
This summary is machine-generated.

We demonstrate a local rheology for dense granular flows. Granular temperature reduces friction and fabric anisotropy, allowing for a continuum description of sheared, vibrated granular flows.

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Area of Science:

  • Physics
  • Engineering
  • Material Science

Background:

  • Dense granular flows are ubiquitous in nature and industry.
  • Understanding their rheology is crucial for predicting their behavior.
  • Granular temperature is a proposed rheological control but difficult to isolate.

Purpose of the Study:

  • To demonstrate a local rheology for dense granular flows under shear and vibration.
  • To investigate the role of granular temperature in controlling flow properties.
  • To develop a continuum model for sheared, vibrated granular flows.

Main Methods:

  • Numerical simulations of granular assembly under shear and vibration.
  • Analysis of local velocity fluctuations and granular temperature.
  • Development of a heat equation model for granular temperature.

Main Results:

  • Friction is reduced by local velocity fluctuations (granular temperature).
  • A local rheology relating friction, granular temperature, and shear rate was found.
  • Reduced friction correlates with reduced fabric anisotropy.
  • Granular temperature can be modeled by a heat equation with dissipation.

Conclusions:

  • A local rheology based on granular temperature provides a complete closure for modeling dense granular flows.
  • The heat equation for granular temperature allows a fully local continuum description.
  • This approach offers a general strategy for modeling sheared, vibrated granular flows.