Irrotational velocity field

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• Flow velocity — In fluid dynamics the flow velocity, or velocity field, of a fluid is a vector field which is used to mathematically describe the motion of a fluid.DefinitionThe flow velocity of a fluid is a vector field: mathbf{u}=mathbf{u}(mathbf{x},t)which… …   Wikipedia

• Conservative vector field — In vector calculus a conservative vector field is a vector field which is the gradient of a function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral from one point to another is… …   Wikipedia

• Solenoidal vector field — In vector calculus a solenoidal vector field (also known as an incompressible vector field) is a vector field v with divergence zero at all points in the field; The fundamental theorem of vector calculus states that any vector field can be… …   Wikipedia

• Potential flow — streamlines around a NACA 0012 airfoil at 11° angle of attack, with upper and lower streamtubes identified. In fluid dynamics, potential flow describes the velocity field as the gradient of a scalar function: the velocity potential. As a result,… …   Wikipedia

• Navier–Stokes equations — Continuum mechanics …   Wikipedia

• Airy wave theory — In fluid dynamics, Airy wave theory (often referred to as linear wave theory) gives a linearised description of the propagation of gravity waves on the surface of a homogeneous fluid layer. The theory assumes that the fluid layer has a uniform… …   Wikipedia

• D'Alembert's paradox — In fluid dynamics, d Alembert s paradox (or the hydrodynamic paradox) is a contradiction reached in 1752 by French mathematician Jean le Rond d Alembert.[1] D Alembert proved that – for incompressible and inviscid potential flow – the drag force… …   Wikipedia

• Vorticity — is a mathematical concept used in fluid dynamics. It can be related to the amount of circulation or rotation (or more strictly, the local angular rate of rotation) in a fluid.Clancy, L.J., Aerodynamics , Section 7.11] The average vorticity zeta… …   Wikipedia

• Divergence — For other uses, see Divergence (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation …   Wikipedia

• Laplace's equation — In mathematics, Laplace s equation is a partial differential equation named after Pierre Simon Laplace who first studied its properties. The solutions of Laplace s equation are important in many fields of science, notably the fields of… …   Wikipedia

• Scalar potential — A scalar potential is a fundamental concept in vector analysis and physics (the adjective scalar is frequently omitted if there is no danger of confusion with vector potential). Given a vector field F, its scalar potential V is a scalar field… …   Wikipedia