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Prandtl number, the Glossary

Index Prandtl number

The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.[1]

Table of Contents

  1. 35 relations: Atmosphere of Earth, Boundary layer, Boundary layer thickness, Celsius, Convection, Density, Dichlorodifluoromethane, Dimensionless quantity, Earth, Gas, Grashof number, Heat, Hydrogen, International System of Units, Lewis number, Ludwig Prandtl, Magnetic Prandtl number, Mantle (geology), Mercury (element), Momentum, Motor oil, Noble gas, Norm (mathematics), Nusselt number, Reynolds number, Schmidt number, Seawater, Specific heat capacity, Thermal boundary layer thickness and shape, Thermal conduction, Thermal conductivity and resistivity, Thermal diffusivity, Turbulent Prandtl number, Viscosity, Water.

  2. Convection
  3. Dimensionless numbers of thermodynamics

Atmosphere of Earth

The atmosphere of Earth is composed of a layer of gas mixture that surrounds the Earth's planetary surface (both lands and oceans), known collectively as air, with variable quantities of suspended aerosols and particulates (which create weather features such as clouds and hazes), all retained by Earth's gravity.

See Prandtl number and Atmosphere of Earth

Boundary layer

In physics and fluid mechanics, a boundary layer is the thin layer of fluid in the immediate vicinity of a bounding surface formed by the fluid flowing along the surface.

See Prandtl number and Boundary layer

Boundary layer thickness

This page describes some of the parameters used to characterize the thickness and shape of boundary layers formed by fluid flowing along a solid surface.

See Prandtl number and Boundary layer thickness

Celsius

The degree Celsius is the unit of temperature on the Celsius temperature scale "Celsius temperature scale, also called centigrade temperature scale, scale based on 0 ° for the melting point of water and 100 ° for the boiling point of water at 1 atm pressure." (originally known as the centigrade scale outside Sweden), one of two temperature scales used in the International System of Units (SI), the other being the closely related Kelvin scale.

See Prandtl number and Celsius

Convection

Convection is single or multiphase fluid flow that occurs spontaneously due to the combined effects of material property heterogeneity and body forces on a fluid, most commonly density and gravity (see buoyancy).

See Prandtl number and Convection

Density

Density (volumetric mass density or specific mass) is a substance's mass per unit of volume.

See Prandtl number and Density

Dichlorodifluoromethane

Dichlorodifluoromethane (R-12) is a colorless gas usually sold under the brand name Freon-12, and a chlorofluorocarbon halomethane (CFC) used as a refrigerant and aerosol spray propellant.

See Prandtl number and Dichlorodifluoromethane

Dimensionless quantity

Dimensionless quantities, or quantities of dimension one, are quantities implicitly defined in a manner that prevents their aggregation into units of measurement.

See Prandtl number and Dimensionless quantity

Earth

Earth is the third planet from the Sun and the only astronomical object known to harbor life.

See Prandtl number and Earth

Gas

Gas is one of the four fundamental states of matter.

See Prandtl number and Gas

Grashof number

In fluid mechanics (especially fluid thermodynamics), the Grashof number (after Franz Grashof) is a dimensionless number which approximates the ratio of the buoyancy to viscous forces acting on a fluid. Prandtl number and Grashof number are convection, dimensionless numbers of fluid mechanics, dimensionless numbers of thermodynamics and fluid dynamics.

See Prandtl number and Grashof number

Heat

In thermodynamics, heat is the thermal energy transferred between systems due to a temperature difference.

See Prandtl number and Heat

Hydrogen

Hydrogen is a chemical element; it has symbol H and atomic number 1.

See Prandtl number and Hydrogen

International System of Units

The International System of Units, internationally known by the abbreviation SI (from French Système international d'unités), is the modern form of the metric system and the world's most widely used system of measurement.

See Prandtl number and International System of Units

Lewis number

In fluid dynamics and thermodynamics, the Lewis number (denoted) is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity. Prandtl number and Lewis number are dimensionless numbers of fluid mechanics and fluid dynamics.

See Prandtl number and Lewis number

Ludwig Prandtl

Ludwig Prandtl (4 February 1875 – 15 August 1953) was a German fluid dynamicist, physicist and aerospace scientist.

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Magnetic Prandtl number

The Magnetic Prandtl number (Prm) is a dimensionless quantity occurring in magnetohydrodynamics which approximates the ratio of momentum diffusivity (viscosity) and magnetic diffusivity. Prandtl number and magnetic Prandtl number are dimensionless numbers of fluid mechanics and fluid dynamics.

See Prandtl number and Magnetic Prandtl number

Mantle (geology)

A mantle is a layer inside a planetary body bounded below by a core and above by a crust.

See Prandtl number and Mantle (geology)

Mercury (element)

Mercury is a chemical element; it has symbol Hg and atomic number 80.

See Prandtl number and Mercury (element)

Momentum

In Newtonian mechanics, momentum (momenta or momentums; more specifically linear momentum or translational momentum) is the product of the mass and velocity of an object.

See Prandtl number and Momentum

Motor oil

Motor oil, engine oil, or engine lubricant is any one of various substances used for the lubrication of internal combustion engines.

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Noble gas

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See Prandtl number and Noble gas

Norm (mathematics)

In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin.

See Prandtl number and Norm (mathematics)

Nusselt number

In thermal fluid dynamics, the Nusselt number (after Wilhelm Nusselt) is the ratio of total heat transfer to conductive heat transfer at a boundary in a fluid. Prandtl number and Nusselt number are convection, dimensionless numbers of fluid mechanics, dimensionless numbers of thermodynamics and fluid dynamics.

See Prandtl number and Nusselt number

Reynolds number

In fluid dynamics, the Reynolds number is a dimensionless quantity that helps predict fluid flow patterns in different situations by measuring the ratio between inertial and viscous forces. Prandtl number and Reynolds number are convection, dimensionless numbers of fluid mechanics, dimensionless numbers of thermodynamics and fluid dynamics.

See Prandtl number and Reynolds number

Schmidt number

In fluid dynamics, the Schmidt number (denoted) of a fluid is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity, and it is used to characterize fluid flows in which there are simultaneous momentum and mass diffusion convection processes. Prandtl number and Schmidt number are dimensionless numbers of fluid mechanics, dimensionless numbers of thermodynamics and fluid dynamics.

See Prandtl number and Schmidt number

Seawater

Seawater, or sea water, is water from a sea or ocean.

See Prandtl number and Seawater

Specific heat capacity

In thermodynamics, the specific heat capacity (symbol) of a substance is the amount of heat that must be added to one unit of mass of the substance in order to cause an increase of one unit in temperature.

See Prandtl number and Specific heat capacity

Thermal boundary layer thickness and shape

This page describes some parameters used to characterize the properties of the thermal boundary layer formed by a heated (or cooled) fluid moving along a heated (or cooled) wall.

See Prandtl number and Thermal boundary layer thickness and shape

Thermal conduction

Conduction is the process by which heat is transferred from the hotter end to the colder end of an object.

See Prandtl number and Thermal conduction

Thermal conductivity and resistivity

The thermal conductivity of a material is a measure of its ability to conduct heat.

See Prandtl number and Thermal conductivity and resistivity

Thermal diffusivity

In heat transfer analysis, thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.

See Prandtl number and Thermal diffusivity

Turbulent Prandtl number

The turbulent Prandtl number (Prt) is a non-dimensional term defined as the ratio between the momentum eddy diffusivity and the heat transfer eddy diffusivity. Prandtl number and turbulent Prandtl number are convection, dimensionless numbers of fluid mechanics and fluid dynamics.

See Prandtl number and Turbulent Prandtl number

Viscosity

The viscosity of a fluid is a measure of its resistance to deformation at a given rate. Prandtl number and viscosity are fluid dynamics.

See Prandtl number and Viscosity

Water

Water is an inorganic compound with the chemical formula.

See Prandtl number and Water

See also

Convection

Dimensionless numbers of thermodynamics

References

[1] https://en.wikipedia.org/wiki/Prandtl_number