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Streakline
Streamlines, streaklines and pathlines are field lines in a fluid flow. They differ only when the flow changes with time, that is, when the flow is not steady. Considering a velocity vector field in three-dimensional space in the framework of continuum mechanics, we have that: * Streamlines are a family of curves whose tangent vectors constitute the velocity vector field of the flow. These show the direction in which a massless fluid element will travel at any point in time. * Streaklines are the loci of points of all the fluid particles that have passed continuously through a particular spatial point in the past. Dye steadily injected into the fluid at a fixed point extends along a streakline. * Pathlines are the trajectories that individual fluid particles follow. These can be thought of as "recording" the path of a fluid element in the flow over a certain period. The direction the path takes will be determined by the streamlines of the fluid at each moment in time. * Ti ...
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Field Line
A field line is a graphical visual aid for visualizing vector fields. It consists of an imaginary directed line which is tangent to the field vector at each point along its length. A diagram showing a representative set of neighboring field lines is a common way of depicting a vector field in scientific and mathematical literature; this is called a field line diagram. They are used to show electric fields, magnetic fields, and gravitational fields among many other types. In fluid mechanics field lines showing the velocity field of a fluid flow are called streamlines. Definition and description A vector field defines a direction and magnitude at each point in space. A field line for that vector field may be constructed by starting at a point and tracing a line through space that follows the direction of the vector field, by making the field line tangent to the field vector at each point. A field line is usually shown as a directed line segment, with an arrow indicating ...
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Stream Function
The stream function is defined for incompressible flow, incompressible (divergence-free) fluid flow, flows in two dimensions – as well as in three dimensions with axisymmetry. The flow velocity components can be expressed as the derivatives of the scalar field, scalar stream function. The stream function can be used to plot Streamlines, streaklines, and pathlines, streamlines, which represent the trajectories of particles in a steady flow. The two-dimensional Lagrange stream function was introduced by Joseph Louis Lagrange in 1781. The Stokes stream function is for axisymmetrical three-dimensional flow, and is named after George Gabriel Stokes. Considering the particular case of fluid dynamics, the difference between the stream function values at any two points gives the volumetric flow rate (or volumetric flux) through a line connecting the two points. Since streamlines are tangent to the flow velocity vector of the flow, the value of the stream function must be constant along ...
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Wing
A wing is a type of fin that produces lift while moving through air or some other fluid. Accordingly, wings have streamlined cross-sections that are subject to aerodynamic forces and act as airfoils. A wing's aerodynamic efficiency is expressed as its lift-to-drag ratio. The lift a wing generates at a given speed and angle of attack can be one to two orders of magnitude greater than the total drag on the wing. A high lift-to-drag ratio requires a significantly smaller thrust to propel the wings through the air at sufficient lift. Lifting structures used in water include various foils, such as hydrofoils. Hydrodynamics is the governing science, rather than aerodynamics. Applications of underwater foils occur in hydroplanes, sailboats and submarines. Etymology and usage For many centuries, the word "wing", from the Old Norse ''vængr'', referred mainly to the foremost limbs of birds (in addition to the architectural aisle). But in recent centuries the word's meaning has ...
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Fluid Flow
In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids— liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation. Fluid dynamics offers a systematic structure—which underlies these practical disciplines—that embraces empirical and semi-empirical laws derived from flow measurement and used to solve practical problems. The solution to a fluid dynamics problem typically involves the calculation of various properties of the fluid, such as flow velocity, pressure, density, and temperature, as functions of space and time. ...
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Steady Flow
In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including ''aerodynamics'' (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation. Fluid dynamics offers a systematic structure—which underlies these practical disciplines—that embraces empirical and semi-empirical laws derived from flow measurement and used to solve practical problems. The solution to a fluid dynamics problem typically involves the calculation of various properties of the fluid, such as flow velocity, pressure, density, and temperature, as functions of space and time. Be ...
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Streamlines Around A NACA 0012
Streamline may refer to: Business * Streamline Air, American regional airline * Adobe Streamline, a discontinued line tracing program made by Adobe Systems * Streamline Cars, the company responsible for making the Burney car Engineering * Streamlines, streaklines, and pathlines, in fluid flows * Streamliner, any vehicle shaped to be less resistant to air Film * ''Streamline'' (film), an upcoming Australian film directed by Tyson Wade Johnston Media * Streamline Pictures, an American distribution company best known for distributing English dubbed Japanese animation * Streamline Studios, an independent Dutch outsourcing and game developing studio * Hal Roach's Streamliners, a series of short films made in the 1940s * Streamline (comics), a fictional super-hero character * Stream Line, the English title of the 1976 Italian film ''La linea del fiume'' starring Philippe Leroy (actor) * ''Streamline'', a newsletter published by the Migrant Clinicians Network Music * ...
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Streamlines And Streamtube
Streamline may refer to: Business * Streamline Air, American regional airline * Adobe Streamline, a discontinued line tracing program made by Adobe Systems * Streamline Cars, the company responsible for making the Burney car Engineering * Streamlines, streaklines, and pathlines, in fluid flows * Streamliner, any vehicle shaped to be less resistant to air Film * ''Streamline'' (film), an upcoming Australian film directed by Tyson Wade Johnston Media * Streamline Pictures, an American distribution company best known for distributing English dubbed Japanese animation * Streamline Studios, an independent Dutch outsourcing and game developing studio * Hal Roach's Streamliners, a series of short films made in the 1940s * Streamline (comics), a fictional super-hero character * Stream Line, the English title of the 1976 Italian film ''La linea del fiume'' starring Philippe Leroy (actor) * ''Streamline'', a newsletter published by the Migrant Clinicians Network Music * ...
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Stream Surface
In scientific visualization a streamsurface is the 3D generalization of a streamline Streamline may refer to: Business * Streamline Air, American regional airline * Adobe Streamline, a discontinued line tracing program made by Adobe Systems * Streamline Cars, the company responsible for making the Burney car Engineering .... It is the union of all streamlines seeded densely on a curve. Like a streamline, a streamsurface is used to visualize flows – three-dimensional flows in this case. Specifically, it is "the locus of an infinite set of such curves treamlines/nowiki>, rooted at every point along a continuous originating line segment." References Numerical function drawing {{Computer-science-stub ...
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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. The length of the flow velocity vector is the flow speed and is a scalar. It is also called velocity field; when evaluated along a line, it is called a velocity profile (as in, e.g., law of the wall). Definition The flow velocity ''u'' of a fluid is a vector field : \mathbf=\mathbf(\mathbf,t), which gives the velocity of an '' element of fluid'' at a position \mathbf\, and time t.\, The flow speed ''q'' is the length of the flow velocity vector :q = \, \mathbf \, and is a scalar field. Uses The flow velocity of a fluid effectively describes everything about the motion of a fluid. Many physical properties of a fluid can be expressed mathematically in terms of the flow velocity. Some common examples follow: Steady flow The flow of a fluid is ...
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Parametrization (geometry)
In mathematics, and more specifically in geometry, parametrization (or parameterization; also parameterisation, parametrisation) is the process of finding parametric equations of a curve, a surface, or, more generally, a manifold or a variety, defined by an implicit equation. The inverse process is called implicitization. "To parameterize" by itself means "to express in terms of parameters". Parametrization is a mathematical process consisting of expressing the state of a system, process or model as a function of some independent quantities called parameters. The state of the system is generally determined by a finite set of coordinates, and the parametrization thus consists of one function of several real variables for each coordinate. The number of parameters is the number of degrees of freedom of the system. For example, the position of a point that moves on a curve in three-dimensional space is determined by the time needed to reach the point when starting from a fixed orig ...
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Kaberneeme Campfire Site
Kaberneeme is a village in Jõelähtme Parish, Harju County in northern Estonia. (retrieved 27 July 2021) It is famous for its beach. See also *Kalevi-Liiva Kalevi-Liiva are sand dunes in Jõelähtme Parish in Harju County, Estonia. The site is located near the Baltic coast, north of the Jägala, Estonia, Jägala village and the former Jägala concentration camp. It is best known as the execution sit ... References External links Kaberneeme webcamweather.ee Villages in Harju County {{Harju-geo-stub ...
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Field (physics)
In physics, a field is a physical quantity, represented by a scalar (mathematics), scalar, vector (mathematics and physics), vector, or tensor, that has a value for each Point (geometry), point in Spacetime, space and time. For example, on a weather map, the surface temperature is described by assigning a real number, number to each point on the map; the temperature can be considered at a certain point in time or over some interval of time, to study the dynamics of temperature change. A surface wind map, assigning an vector (mathematics and physics), arrow to each point on a map that describes the wind velocity, speed and direction at that point, is an example of a vector field, i.e. a 1-dimensional (rank-1) tensor field. Field theories, mathematical descriptions of how field values change in space and time, are ubiquitous in physics. For instance, the electric field is another rank-1 tensor field, while electrodynamics can be formulated in terms of Mathematical descriptions of the ...
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