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These arrows are tangential to the streamline. The group of streamlines enclose the green curves ( C 1 {\displaystyle C_{1}} and C 2 {\displaystyle C_{2}} ) to form a stream surface. Streamlines , streaklines and pathlines are field lines in a fluid flow .
Because = everywhere (e.g., see In terms of vector rotation), each streamline corresponds to the intersection of a particular stream surface and a particular horizontal plane. Consequently, in three dimensions, unambiguous identification of any particular streamline requires that one specify corresponding values of both the stream function and ...
Article covers many important aspects, but still needs more figures showing different streamline/streakline patterns in flows. Possibility of adding timeline which are also used to describe/visualize a flow. Timeline describes the deformation of adjacent fluid particles as they move around. Sketch showing different types of lines in a flow field.
Flow visualization is the art of making flow patterns visible. Most fluids (air, water, etc.) are transparent, thus their flow patterns are invisible to the naked eye without methods to make them this visible.
Leonhard Euler is credited of introducing both specifications in two publications written in 1755 [3] and 1759. [4] [5] Joseph-Louis Lagrange studied the equations of motion in connection to the principle of least action in 1760, later in a treaty of fluid mechanics in 1781, [6] and thirdly in his book Mécanique analytique. [5]
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The following outline is provided as an overview of and topical guide to 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.