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In mathematics, potential flow around a circular cylinder is a classical solution for the flow of an inviscid, incompressible fluid around a cylinder that is transverse to the flow. Far from the cylinder, the flow is unidirectional and uniform. The flow has no vorticity and thus the velocity field is irrotational and can be modeled as a ...
Laminar flow hoods are used to exclude contaminants from sensitive processes in science, electronics and medicine. Air curtains are frequently used in commercial settings to keep heated or refrigerated air from passing through doorways. A laminar flow reactor (LFR) is a reactor that uses laminar flow to study chemical reactions and process ...
Potential-flow streamlines around a NACA 0012 airfoil at 11° angle of attack, with upper and lower streamtubes identified. The flow is two-dimensional and the airfoil has infinite span. In fluid dynamics, potential flow or irrotational flow refers to a description of a fluid flow with no vorticity in it.
And then using the continuity equation =, the scalar potential can be substituted back in to find Laplace's Equation for irrotational flow: ∇ 2 ϕ = 0 {\displaystyle \nabla ^{2}\phi =0\,} Note that the Laplace equation is a well-studied linear partial differential equation.
Parallel flow with shear Irrotational vortex v ∝ 1 / r where v is the velocity of the flow, r is the distance to the center of the vortex and ∝ indicates proportionality. Absolute velocities around the highlighted point: Relative velocities (magnified) around the highlighted point Vorticity ≠ 0 Vorticity ≠ 0 Vorticity = 0
In deriving the Kutta–Joukowski theorem, the assumption of irrotational flow was used. When there are free vortices outside of the body, as may be the case for a large number of unsteady flows, the flow is rotational. When the flow is rotational, more complicated theories should be used to derive the lift forces.
Stokes flow (named after George Gabriel Stokes), also named creeping flow or creeping motion, [1] is a type of fluid flow where advective inertial forces are small compared with viscous forces. [2] The Reynolds number is low, i.e. R e ≪ 1 {\displaystyle \mathrm {Re} \ll 1} .
A flow is irrotational if the curl of is zero: = That is, if is an irrotational vector field.. A flow in a simply-connected domain which is irrotational can be described as a potential flow, through the use of a velocity potential, with =.
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