An explosive cyclogenesis occurs when dry air from the Stratosphere flows into an area of low-pressure. This causes air within the depression to rise very quickly and increase its rotation, which in turn deepens the pressure and creates a more vigorous storm commonly associated with strong destructive winds.

Stages of Cyclogenesis

• Stationary Stage. The first stage of cyclogenesis, the stationary stage, is named so due to the presence of a stationary front.
• Wave Stage.
• Open Stage.
• Occluded Stage.
• Dissipation Stage.

Vertical motion affecting development Cyclogenesis is most likely to occur in regions of cyclonic vorticity advection, downstream of a strong westerly jet. The combination of vorticity advection and thermal advection created by the temperature gradient and a low pressure center cause upward motion around the low.

What are ridges and troughs? Ridges and troughs are often mentioned on the weather forecast. A ridge is an elongated area of relatively high pressure extending from the center of a high-pressure region. A trough is an elongated area of relatively low pressure extending from the center of a region of low pressure.

In continuum mechanics, vorticity is a pseudovector field that describes the local spinning motion of a continuum near some point (the tendency of something to rotate), as would be seen by an observer located at that point and traveling along with the flow.

Vorticity may be generated within a flow wherever there is an unbalanced torque on fluid elements, such as when pressure and density gradients are misaligned. The characteristics and geometry of a vortex line allow the velocity it induces at a distant location to be determined.

3.5 Vorticity Equation

1. v. ∂t.
2. ρ By taking the curl of the Navier-Stokes equations we obtain the vorticity equation. In.
3. detail and taking into account ∇ × u ≡ ω we have. ∇ × (Navier-Stokes) →∇×
4. ∂ v. + ∇ × (v · ∇ v) = −∇ × ∇
5. p. + gy + ∇ ×
6. ( ν∇

vorticity is the curl of velocity field and a measure of local rotation of fluid i.e tendency of a fluid particle to rotate or circulate at a particular point. if the vorticity is non zero then the flow is said to be rotational, and if vorticity is zero, then the flow is said to be irrotational.

As nouns the difference between curl and vorticity is that curl is a piece or lock of curling hair; a ringlet while vorticity is (mathematics|fluid dynamics) a property of a fluid flow related to local angular rotation; defined as the curl of the flow’s velocity field.

Can the flow inside a nozzle be steady and uniform? It can be a steady flow if and only if the water level is maintained at a constant level by supplying water at the same rate as it gets discharged, else the water level will keep decreasing with time leading to an unsteady flow. 7.

Vorticity is a key ingredient of turbulence, so irrotational flows cannot be turbulent flows. They can be random, such as the irrotational motion of fluid outside a jet that is pushed around by the eddies in the jet, and they can certainly be high Re, as in inviscid irrotational flow.

Rotation of a fluid particle can be caused only by a torque applied by shear forces on the sides of the particle. Since shear forces are absent in an ideal fluid, the flow of ideal fluids is essentially irrotational. Generally when the flow is viscid, it also becomes rotational.

Rotational or Irrotational Flow To classify any flow as Rotational or Irrotational the angular motion of the fluid elements is analyzed. If the angle between the two intersecting lines of the boundary of the fluid element changes while moving in the flow, then the flow is a Rotational Flow.

Rotational flow is when the particles of fluids are all rotating about their own axis in addition to their other movement. Irrotational flow is when the individual particles are not rotating around their axis.

Irrotational flow is flow in which all the tiny bits of fluid are moving along and translating and going around obstacles and what have you without every rotating about their own infinitesimal centers of gravity. Irrotational flow can only persist if there is no viscosity and all real fluids have viscosity.

Streamlines, streaklines and pathlines are field lines in a fluid flow. They differ only when the flow changes with time, that is, when the flow is not steady. Streaklines are the loci of points of all the fluid particles that have passed continuously through a particular spatial point in the past.

For a steady flow, all above mentioned three lines, viz. streamline, path line and streak line are identical. Streamline– A streamline is an imaginary line drawn through a flowing fluid in such a way that the tangent to it at any point gives the direction of the velocity of flow at that point.

Streamlined flow is observed when fluid is moving with slow velocities. Water flowing slowly in a pipe and motion of spermatozoa are examples of streamline flow. Motion of water flowing in a river and motion of blood in arteries are examples of turbulent flow.

A streamline is a path traced out by a massless particle as it moves with the flow. It is easiest to visualize a streamline if we move along with the body (as opposed to moving with the flow). Since the streamline is traced out by a moving particle, at every point along the path the velocity is tangent to the path.

Streamlining, in aerodynamics, the contouring of an object, such as an aircraft body, to reduce its drag, or resistance to motion through a stream of air. A moving body causes the air to flow around it in definite patterns, the components of which are called streamlines.

Engineers reduce friction drag by making the airplane more streamlined, the wings narrower, or by using new materials that make the surface more smooth, decreasing the ability for the force of drag to effect it. As the roughness and surface area of the airplane decreases the friction drag will decrease.

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