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Bulk Density of Aggregate01:22

Bulk Density of Aggregate

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Bulk density refers to the mass of aggregate particles that would fill a unit volume. The concept of bulk density originates from the inability to pack aggregate particles in a manner that completely eliminates void spaces. Hence, the term bulk refers to the volume that encompasses both the aggregates and the voids. This measurement is crucial when aggregates are batched by volume and is used to convert quantities by mass to volume.
Most natural mineral aggregates, like sand and gravel,...
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Specific Gravity of Aggregate01:19

Specific Gravity of Aggregate

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Aggregates typically contain pores, which can be either permeable or impermeable. Considering the pores in the aggregates, the specific gravity of aggregates is defined in three different forms, namely, bulk or gross specific gravity, apparent specific gravity, and absolute specific gravity.
Bulk or gross specific gravity is calculated by taking the ratio of the mass of aggregates in the saturated surface-dry state to the total volume that includes both the solids and the voids within the...
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Density00:56

Density

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Density is an important characteristic of substances, crucial in determining whether an object sinks or floats in a fluid. Its SI unit is kg/m3, and its cgs unit is g/cm3. The density of an object helps in identifying its composition, and also reveals information about the phase of the matter and its substructure. The densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. However, gases have much lower densities than liquids and...
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Carrier Transport01:21

Carrier Transport

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The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
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Compacting Factor test01:22

Compacting Factor test

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The compacting factor test is a method used to assess the workability of concrete. It is  especially suitable for concrete mixes containing aggregates up to one and a half inches in size. This test involves specialized equipment consisting of two truncated cone-shaped hoppers and a cylinder, all with polished interior surfaces to minimize friction.
The procedure begins by placing concrete into the upper hopper without any compaction. Once filled, the bottom door of this hopper is opened,...
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Characteristics of Dry Friction01:21

Characteristics of Dry Friction

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Dry friction occurs when two solid surfaces slide against each other without any lubrication or fluid present. It causes resistance when pushing objects along a surface, like a gardener pushing a wheelbarrow. The force applied to move the cart causes dry friction between the wheel and the ground.
Before the wheelbarrow starts moving, the static frictional force acts tangentially to the contact surface, opposing the force that is about to induce the motion. This frictional force prevents the...
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Related Experiment Video

Updated: May 4, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Transport coefficients for driven granular mixtures at low density.

Nagi Khalil1, Vicente Garzó1

  • 1Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2013
PubMed
Summary

This study determines transport coefficients for granular binary mixtures using the Boltzmann kinetic equation. Results extend theories for single-component gases to mixtures, providing insights into granular flow dynamics.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Granular Materials

Background:

  • Understanding transport phenomena in granular mixtures is crucial for various applications.
  • Previous studies have focused on monocomponent granular gases and Brownian motion.
  • Extending these theories to binary mixtures under external driving is a key challenge.

Purpose of the Study:

  • To determine the transport coefficients of a granular binary mixture driven by a stochastic bath with friction.
  • To extend theoretical results for monocomponent dense gases to granular mixtures at low density.
  • To analyze mass, momentum, and heat fluxes and their associated transport coefficients.

Main Methods:

  • Utilizing the inelastic Boltzmann kinetic equation.
  • Applying the Chapman-Enskog method to obtain a normal solution near homogeneous steady states.
  • Solving coupled linear integral equations for transport coefficients.
  • Employing Sonine polynomial expansion and steady-state conditions for explicit forms.

Main Results:

  • Mass, momentum, and heat fluxes are determined to first order in spatial gradients.
  • Transport coefficients are expressed in terms of solutions to integral equations.
  • Reference distributions depend on time due to energy balance limitations.
  • Explicit forms for diffusion coefficients and shear viscosity are derived.

Conclusions:

  • The study successfully extends theoretical frameworks to granular binary mixtures.
  • The Chapman-Enskog method provides a viable approach for analyzing transport in these systems.
  • The findings contribute to a deeper understanding of non-equilibrium statistical mechanics in granular flows.