Stokes' law, the Glossary
In fluid dynamics, Stokes' law is an empirical law for the frictional force – also called drag force – exerted on spherical objects with very small Reynolds numbers in a viscous fluid.[1]
Table of Contents
65 relations: Advection, Azimuth, Biot–Savart law, Buoyancy, Cartesian coordinate system, Centimetre–gram–second system of units, Conservative force, Cylindrical coordinate system, Density, Deposition (geology), Dipole, Drag (physics), Drag equation, Einstein relation (kinetic theory), Electromagnetism, Equivalent spherical diameter, Flow velocity, Fluid, Fluid dynamics, Glycerol, Golden syrup, Gravity, Gravity of Earth, Green's function, Incompressible flow, International System of Units, Jacobian matrix and determinant, Laminar flow, Laplace operator, Laplace's equation, List of scientific laws named after people, Microorganism, Molecule, Multipole expansion, Navier–Stokes equations, Near and far field, Newton (unit), Oil, Origin (mathematics), Pascal (unit), Polymer, Pressure, Raman spectroscopy, Reynolds number, Rotational symmetry, Scientific law, Sedimentation, Sir George Stokes, 1st Baronet, Sperm, Sphere, ... Expand index (15 more) »
Advection
In the field of physics, engineering, and earth sciences, advection is the transport of a substance or quantity by bulk motion of a fluid.
Azimuth
An azimuth (from the directions) is the horizontal angle from a cardinal direction, most commonly north, in a local or observer-centric spherical coordinate system.
Biot–Savart law
In physics, specifically electromagnetism, the Biot–Savart law is an equation describing the magnetic field generated by a constant electric current.
See Stokes' law and Biot–Savart law
Buoyancy
Buoyancy, or upthrust, is a gravitational force, a net upward force exerted by a fluid that opposes the weight of a partially or fully immersed object.
Cartesian coordinate system
In geometry, a Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes (plural of axis) of the system.
See Stokes' law and Cartesian coordinate system
Centimetre–gram–second system of units
The centimetre–gram–second system of units (CGS or cgs) is a variant of the metric system based on the centimetre as the unit of length, the gram as the unit of mass, and the second as the unit of time.
See Stokes' law and Centimetre–gram–second system of units
Conservative force
In physics, a conservative force is a force with the property that the total work done by the force in moving a particle between two points is independent of the path taken.
See Stokes' law and Conservative force
Cylindrical coordinate system
A cylindrical coordinate system is a three-dimensional coordinate system that specifies point positions by the distance from a chosen reference axis (axis L in the image opposite), the direction from the axis relative to a chosen reference direction (axis A), and the distance from a chosen reference plane perpendicular to the axis (plane containing the purple section).
See Stokes' law and Cylindrical coordinate system
Density
Density (volumetric mass density or specific mass) is a substance's mass per unit of volume.
Deposition (geology)
Deposition is the geological process in which sediments, soil and rocks are added to a landform or landmass.
See Stokes' law and Deposition (geology)
Dipole
In physics, a dipole is an electromagnetic phenomenon which occurs in two ways.
Drag (physics)
In fluid dynamics, drag, sometimes referred to as fluid resistance, is a force acting opposite to the relative motion of any object, moving with respect to a surrounding fluid. Stokes' law and drag (physics) are fluid dynamics.
See Stokes' law and Drag (physics)
Drag equation
In fluid dynamics, the drag equation is a formula used to calculate the force of drag experienced by an object due to movement through a fully enclosing fluid.
See Stokes' law and Drag equation
Einstein relation (kinetic theory)
In physics (specifically, the kinetic theory of gases), the Einstein relation is a previously unexpected connection revealed independently by William Sutherland in 1904, Albert Einstein in 1905, and by Marian Smoluchowski in 1906 in their works on Brownian motion.
See Stokes' law and Einstein relation (kinetic theory)
Electromagnetism
In physics, electromagnetism is an interaction that occurs between particles with electric charge via electromagnetic fields.
See Stokes' law and Electromagnetism
Equivalent spherical diameter
The equivalent spherical diameter of an irregularly shaped object is the diameter of a sphere of equivalent geometric, optical, electrical, aerodynamic or hydrodynamic behavior to that of the particle under investigation.
See Stokes' law and Equivalent spherical diameter
Flow velocity
In continuum mechanics the flow velocity in fluid dynamics, also macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism, is a vector field used to mathematically describe the motion of a continuum. Stokes' law and flow velocity are fluid dynamics.
See Stokes' law and Flow velocity
Fluid
In physics, a fluid is a liquid, gas, or other material that may continuously move and deform (flow) under an applied shear stress, or external force. Stokes' law and fluid are fluid dynamics.
Fluid dynamics
In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases.
See Stokes' law and Fluid dynamics
Glycerol
Glycerol, also called glycerine or glycerin, is a simple triol compound.
Golden syrup
Golden syrup or light treacle is a thick, amber-coloured form of inverted sugar syrup made by the process of refining sugar cane or sugar beet juice into sugar.
See Stokes' law and Golden syrup
Gravity
In physics, gravity is a fundamental interaction which causes mutual attraction between all things that have mass.
Gravity of Earth
The gravity of Earth, denoted by, is the net acceleration that is imparted to objects due to the combined effect of gravitation (from mass distribution within Earth) and the centrifugal force (from the Earth's rotation).
See Stokes' law and Gravity of Earth
Green's function
In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions.
See Stokes' law and Green's function
Incompressible flow
In fluid mechanics, or more generally continuum mechanics, incompressible flow (isochoric flow) refers to a flow in which the material density of each fluid parcel — an infinitesimal volume that moves with the flow velocity — is time-invariant.
See Stokes' law and Incompressible flow
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 Stokes' law and International System of Units
Jacobian matrix and determinant
In vector calculus, the Jacobian matrix of a vector-valued function of several variables is the matrix of all its first-order partial derivatives.
See Stokes' law and Jacobian matrix and determinant
Laminar flow
Laminar flow is the property of fluid particles in fluid dynamics to follow smooth paths in layers, with each layer moving smoothly past the adjacent layers with little or no mixing.
See Stokes' law and Laminar flow
Laplace operator
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean space.
See Stokes' law and Laplace operator
Laplace's equation
In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its properties.
See Stokes' law and Laplace's equation
List of scientific laws named after people
This is a list of scientific laws named after people (eponymous laws).
See Stokes' law and List of scientific laws named after people
Microorganism
A microorganism, or microbe, is an organism of microscopic size, which may exist in its single-celled form or as a colony of cells. The possible existence of unseen microbial life was suspected from ancient times, such as in Jain scriptures from sixth century BC India. The scientific study of microorganisms began with their observation under the microscope in the 1670s by Anton van Leeuwenhoek.
See Stokes' law and Microorganism
Molecule
A molecule is a group of two or more atoms held together by attractive forces known as chemical bonds; depending on context, the term may or may not include ions which satisfy this criterion.
Multipole expansion
A multipole expansion is a mathematical series representing a function that depends on angles—usually the two angles used in the spherical coordinate system (the polar and azimuthal angles) for three-dimensional Euclidean space, \R^3.
See Stokes' law and Multipole expansion
Navier–Stokes equations
The Navier–Stokes equations are partial differential equations which describe the motion of viscous fluid substances.
See Stokes' law and Navier–Stokes equations
Near and far field
The near field and far field are regions of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object.
See Stokes' law and Near and far field
Newton (unit)
The newton (symbol: N) is the unit of force in the International System of Units (SI).
See Stokes' law and Newton (unit)
Oil
An oil is any nonpolar chemical substance that is composed primarily of hydrocarbons and is hydrophobic (does not mix with water) and lipophilic (mixes with other oils).
Origin (mathematics)
In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space.
See Stokes' law and Origin (mathematics)
Pascal (unit)
The pascal (symbol: Pa) is the unit of pressure in the International System of Units (SI).
See Stokes' law and Pascal (unit)
Polymer
A polymer is a substance or material consisting of very large molecules linked together into chains of repeating subunits.
Pressure
Pressure (symbol: p or P) is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Stokes' law and Pressure are fluid dynamics.
Raman spectroscopy
Raman spectroscopy (named after physicist C. V. Raman) is a spectroscopic technique typically used to determine vibrational modes of molecules, although rotational and other low-frequency modes of systems may also be observed.
See Stokes' law and Raman spectroscopy
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. Stokes' law and Reynolds number are fluid dynamics.
See Stokes' law and Reynolds number
Rotational symmetry
Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn.
See Stokes' law and Rotational symmetry
Scientific law
Scientific laws or laws of science are statements, based on repeated experiments or observations, that describe or predict a range of natural phenomena.
See Stokes' law and Scientific law
Sedimentation
Sedimentation is the deposition of sediments.
See Stokes' law and Sedimentation
Sir George Stokes, 1st Baronet
Sir George Gabriel Stokes, 1st Baronet, (13 August 1819 – 1 February 1903) was an Irish mathematician and physicist.
See Stokes' law and Sir George Stokes, 1st Baronet
Sperm
Sperm (sperm or sperms) is the male reproductive cell, or gamete, in anisogamous forms of sexual reproduction (forms in which there is a larger, female reproductive cell and a smaller, male one).
Sphere
A sphere (from Greek) is a geometrical object that is a three-dimensional analogue to a two-dimensional circle.
Spherical coordinate system
In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a given point in space is specified by three numbers, (r, θ, φ): the radial distance of the radial line r connecting the point to the fixed point of origin (which is located on a fixed polar axis, or zenith direction axis, or z-axis); the polar angle θ of the radial line r; and the azimuthal angle φ of the radial line r.
See Stokes' law and Spherical coordinate system
Stokes flow
Stokes flow (named after George Gabriel Stokes), also named creeping flow or creeping motion,Kim, S. & Karrila, S. J. (2005) Microhydrodynamics: Principles and Selected Applications, Dover. Stokes' law and Stokes flow are fluid dynamics.
See Stokes' law and Stokes flow
Stokes number
The Stokes number (Stk), named after George Gabriel Stokes, is a dimensionless number characterising the behavior of particles suspended in a fluid flow. Stokes' law and Stokes number are fluid dynamics.
See Stokes' law and Stokes number
Stokes radius
The Stokes radius or Stokes–Einstein radius of a solute is the radius of a hard sphere that diffuses at the same rate as that solute. Stokes' law and Stokes radius are fluid dynamics.
See Stokes' law and Stokes radius
Stokes shift
Stokes shift is the difference (in energy, wavenumber or frequency units) between positions of the band maxima of the absorption and emission spectra (fluorescence and Raman being two examples) of the same electronic transition.
See Stokes' law and Stokes shift
Stokes stream function
In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry. Stokes' law and Stokes stream function are fluid dynamics.
See Stokes' law and Stokes stream function
Stokes' theorem
Stokes' theorem, also known as the Kelvin–Stokes theoremNagayoshi Iwahori, et al.:"Bi-Bun-Seki-Bun-Gaku" Sho-Ka-Bou(jp) 1983/12 (Written in Japanese)Atsuo Fujimoto;"Vector-Kai-Seki Gendai su-gaku rekucha zu.
See Stokes' law and Stokes' theorem
Superposition principle
The superposition principle, also known as superposition property, states that, for all linear systems, the net response caused by two or more stimuli is the sum of the responses that would have been caused by each stimulus individually.
See Stokes' law and Superposition principle
Terminal velocity
Terminal velocity is the maximum speed attainable by an object as it falls through a fluid (air is the most common example). Stokes' law and Terminal velocity are fluid dynamics.
See Stokes' law and Terminal velocity
Vector calculus identities
The following are important identities involving derivatives and integrals in vector calculus.
See Stokes' law and Vector calculus identities
Viscometer
A viscometer (also called viscosimeter) is an instrument used to measure the viscosity of a fluid.
See Stokes' law and Viscometer
Viscosity
The viscosity of a fluid is a measure of its resistance to deformation at a given rate. Stokes' law and viscosity are fluid dynamics.
Viscous stress tensor
The viscous stress tensor is a tensor used in continuum mechanics to model the part of the stress at a point within some material that can be attributed to the strain rate, the rate at which it is deforming around that point.
See Stokes' law and Viscous stress tensor
Vorticity
In continuum mechanics, vorticity is a pseudovector (or axial vector) field that describes the local spinning motion of a continuum near some point (the tendency of something to rotate), as would be seen by an observer located at that point and traveling along with the flow. Stokes' law and vorticity are fluid dynamics.
Weight
In science and engineering, the weight of an object, is the force acting on the object due to acceleration of gravity.
References
[1] https://en.wikipedia.org/wiki/Stokes'_law
Also known as Stoke's Law, Stokes Law, Stokes drag, Stokes' drag, Stokes' formula, Stokes' law of terminal speed, Stokes's Law.
, Spherical coordinate system, Stokes flow, Stokes number, Stokes radius, Stokes shift, Stokes stream function, Stokes' theorem, Superposition principle, Terminal velocity, Vector calculus identities, Viscometer, Viscosity, Viscous stress tensor, Vorticity, Weight.