Review of Short Phrases and Links|
This Review contains major "Vorticity"- related terms, short phrases and links grouped together in the form of Encyclopedia article.
- Vorticity is a property of the flow of air (or any other fluid, for that matter).
- Vorticity is a mathematical concept used in fluid dynamics.
- Vorticity is the curl of the velocity field.
- Vorticity is a vector, therefore, there are three components.
- Vorticity is one of four quantities that are called the kinematic properties of fluid flow.
- The vorticity equation is an important prognostic equation in the atmospheric sciences.
- The vorticity equation describes the evolution of the vorticity of a fluid element as it moves around.
- The properties of vorticity in 2 and 3 dimensions are treated in some depth in George Batchelor 's famous textbook (ch 5 & ch 7 et seq.).
- The first term on the RHS of the vorticity equation, , describes the stretching or tilting of vorticity due to the velocity gradients.
- The approximate form of the vorticity equation for the large-scale flow will be presented.
- In the atmospheric sciences, vorticity is a property that characterizes large-scale rotation of air masses.
- The absolute vorticity of an air mass will change if the air mass is stretched (or compressed) in the z direction.
- It has vorticity and usually has closed streamlines.
- If that tiny new solid particle would be rotating, rather than just translating, then there is vorticity in the flow.
- DENVER CYCLONE VORTICITY ZONE - A region of mesoscale low pressure created by the front range of the Rocky Mountains west of Denver, Colorado.
- Couette Flow), the vorticity will be diffused throughout the flow field and it is probably simpler to look at the velocity field (i.e.
- In fluid dynamics vorticity is defined as the circulation per unit area at a point in the flow field.
- For a two-dimensional flow, the vorticity vector is perpendicular to the plane.
- The total 3-dimensional vorticity vector is the vector sum of these three.
- Instead of computing the circulation on the closed contour C(t) we can compute the mean vorticity normal to A(t) and multiply that by the area within.
- This can be seen by the diffusion term in the vorticity transport equation.
- In such a case you get the vorticity transport equation which is as follows in the case of incompressible (i.e.
- Incompressible viscous flows: vorticity transport equation, stream function equation, and boundary conditions.
- The scalar vorticity is positive when the parcel has a counterclockwise rotation for the Northern Hemisphere.
- In the Northern Hemisphere, vorticity is positive for counter-clockwise (i.e., cyclonic) rotation, and negative for clockwise (i.e, anti-cyclonic) rotation.
- Today, one can scarcely imagine an investigation in fluid mechanics that does not invoke the role of vorticity or vortices in some way.
- The Rossby number is a measure of the departure of the vorticity from that of solid body rotation.
- Baroclinic flows can be contrasted with barotropic flows in which density and pressure surfaces coincide and there is no baroclinic generation of vorticity.
- It is also of interest in the creation of vorticity by the passage of shocks through inhomogenous media, such as in the Richtmeyer-Meshkov instability.
- Keywords: Shallow water model, Shallow-water instabilities, Unstable normal-modes, Potential vorticity fronts.
- Keywords: Shallow water model, Equatorial dynamics, Potential vorticity fronts, Kelvin waves.
- Continuously stratified dynamics: Inertia-gravity waves, potential vorticity, quasigeostrophy.
- Nonlinear geostrophic adjustment, cyclone-anticyclone asymmetry, and potential vorticity rearrangement.
- Shows that geostrophic balance is the minimum energy state for a given field of potential vorticity, in the linear approximation.
- In fluid dynamics, vorticity is the curl of the fluid velocity.
- They used a simplified form of atmospheric dynamics based on the barotropic_vorticity_equation.
- Basic equations governing atmospheric motions and their elementary applications; circulation and vorticity; dynamics of midlatitude disturbances.
- The Vortex Dynamics Laboratory specializes in fluid dynamics research related to vorticity and particulate transport in incompressible fluids.
- Conservation of potential vorticity (PV) and Kelvin's circulation theorem express two of the fundamental concepts in ideal fluid dynamics.
- Thus, the more densely packed the vortex lines passing through some plane, the greater the vorticity.
- In the same way that streamlines point in the direction of the wind flow, the vortex lines point in the direction of the vorticity vectors.
- Series of "swirling motions" (spanwise vorticity) on lines at 12-13 deg.
- Typical analytical solutions apply to discrete distributions of vorticity, such as point vortices and vortex patches (e.g., Lamb 1932, Arts.
- Fig. 3. An illustration of circular flow, showing the vorticity associated with this flow.
- Where the streamlines have high curvature, the vorticity is high owing to the curvature contribution.
- The horizontal part of the vorticity has two components, just like the horizontal wind has two components.
- As shown in Mathematical Diversion - 3, the horizontal vorticity vectors are dominated by the vertical wind shear of the horizontal wind.
- A useful related quantity is potential vorticity.
- In general, the presence of viscosity causes a diffusion of vorticity away from these small regions (e.g.
- When the air converges, to maintain potential vorticity, the air speed increases, resulting in a stretched vortex.
- Baroclinic instability requires the presence of a potential vorticity gradient along which waves amplify during cyclogenesis.
- Viscous forces cause the diffusion of vorticity.
- More precisely, a flow in solid body rotation has vorticity that is proportional to its angular velocity.
- From the numerical vorticity distribution, the position of the outer edge of the vortical region is determined as a function of the angular coordinate.
- The Ekman pumping is a very small and the changes induced in the angular momentum (vorticity) are very weak.
- In the atmospheric sciences, vorticity is the rotation of air around a vertical axis.
- Consider the following example of the vertical component of vorticity ( z), shown in Fig.
- It is therefore common to use only the vertical component of the vorticity vector for meteorological applications.
- On the opposite side of the updraft, of course, an anticyclonically rotating vertical component of vorticity is found.
- Lectures will continue with vertical structure, stratification effects and introduce vorticity and potential vorticity.
- Suppose the flow is such that the low-level wind shear is producing only crosswise vorticity.
- Real atmospheric vortices (in 2-d flow) have a combination of shear and curvature vorticity (see below).
- A vortex can be any circular or rotary flow that possesses vorticity.
- An irrotational fluid is one whose vorticity=0.
- A vortex is concentrated vorticity.
- Introduced vorticity by analyzing a rotational vortex and an irrotational vortex.
- For an irrotational vortex, vorticity is zero everywhere except at the center of the vortex (where vorticity is infinite).
- In modern numerical weather forecasting models and GCMs, vorticity may be one of the prognostic variables.
- The mutual stretching of skewed vortex tubes, when they are close to each other, causes rapid growth of vorticity.
- The next term, , describes stretching of vorticity due to flow compressibility. Sometimes the negative sign is included in the term.
- Thus, it's possible for a vortex to be rotating cyclonically throughout, with a cyclonic vorticity core and a ring of anticyclonic vorticity surrounding it.
- Therefore the baroclinic vector is nonzero, and the sense of the baroclinic vector is to create vorticity to make the interface level out.
- If the fingers curving in the sense of rotation force the thumb to point downward, the vorticity is negative.
- The thin lines show the flow direction and the bold line indicates the sense of rotation associated with the vorticity.
- The next three chapters deal with standard and introductory material on Kinematics, Conservation Laws, and Vorticity Dynamics.
- Keywords: Quasi-geostrophic model, Potential vorticity fronts.
- Ertel's potential vorticity theorem in physical oceanography.
- Rotunno, R., 1980: Vorticity dynamics of a convective swirling boundary layer.
- Flapping insect flight generates high mean lift by the interaction of the wings with the shed vorticity.
- Information > Science > Physics > Fluid Dynamics
- Glossaries > Glossary of Fluid Dynamics /
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