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Flow in phase space specified by the differential equation of a pendulum. On the horizontal axis, the pendulum position, and on the vertical one its velocity. In mathematics, a flow formalizes the idea of the motion of particles in a fluid. Flows are ubiquitous in science, including engineering and physics.
Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them. [1]: 3 It has applications in a wide range of disciplines, including mechanical, aerospace, civil, chemical, and biomedical engineering, as well as geophysics, oceanography, meteorology, astrophysics, and biology.
Space velocity may refer to: Space velocity (astronomy), the velocity of a star in the galactic coordinate system; Space velocity (chemistry), the relation between ...
The subject is based upon a three-dimensional Euclidean space with fixed axes, called a frame of reference. The point of concurrency of the three axes is known as the origin of the particular space. [3] Classical mechanics utilises many equations—as well as other mathematical concepts—which relate various physical quantities to one another.
The velocity of the surface can by related to the outflow velocity by the continuity equation =, where is the orifice's cross section and is the (cylindrical) vessel's cross section. Renaming v 2 {\displaystyle v_{2}} to v A {\displaystyle v_{A}} (A like Aperture) gives:
When an object is immersed in a liquid, the liquid exerts an upward force, which is known as the buoyant force, that is proportional to the weight of the displaced liquid. The sum force acting on the object, then, is equal to the difference between the weight of the object ('down' force) and the weight of displaced liquid ('up' force).
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The viscosity is not a material constant, but a material property that depends on temperature, pressure, fluid mixture composition, local velocity variations. This functional relationship is described by a mathematical viscosity model called a constitutive equation which is usually far more complex than the defining equation of shear viscosity.
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