Originally posted by Quest
The vast complexity of a massive fluid hurricane is well beyond calculable physics.
I'm not sure what you are asking anyway...
www.hurricanealley.net...
The dynamical models, unlike the statistical models, disregard history altogether. They use as much information as possible concerning the storm itself and the conditions surrounding the storm. These models will use as much "real-time" information as they can digest. The dynamical models employ the basic laws of physics as they apply to the atmosphere to predict the future course of the storm. These models start with the six (6) basic equations concerning these physical laws as they apply to the atmosphere. There are three (3) hydrodynamic equations which use Newton's second law of motion to find the horizontal and vertical motions of air caused by air pressure differences, gravity, friction, and the earth's rotation. There are two (2) thermodynamic equations which calculate changes in temperature caused by by the evaporation of water into water vapor, the vapor condensing into liquid, and so on. The final equation is known as the continuity equation. This equation attempts to account for volume of air going into or coming out of a specified area. One form of a the dynamical models is the barotropic model. This model moves weather systems in from one location to another using horizontal winds only. In an undisturbed, no major systems, type of atmosphere that is usually found in the tropics devoid of a storm, this process works extremely well. But, as the storm develops cold or warm air moving across lines of equal air pressure, or isobars, is the dominant feature for any developing storm. Therefore, the barotropic becomes the least valuable. When the lines of equal temperature and equal pressure cross each other, this then becomes a baroclinic type atmosphere.
www.applet-magic.com...
The Equation for the Rate of Change of Longitude
Let u be the eastward velocity of the center of the hurricane relative to the Earth's surface and v its corresponding northward velocity. Let φ be the latitude angle and θ the longitude angle. If r is the radius of the Earth then the distance from the center of the hurricane to the Earth's axis rcos(φ). Let Ω the angular velocity of the Earth's rotation. Then the absolute velocity of the center of the hurricane is
Ωrcos(φ) + u
The angular momentum per unit mass of the hurricane is then
rcos(φ)[Ω(rcos(φ) + u]
Conservation of angular momentum requires this to be constant so
rcos(φ)[Ω(rcos(φ) + u] = Λ
The relative velocity is given by u=rcos(φ)(dθ/dt). Entering this expression into the above equation gives:
(rcos(φ))²(Ω + dθ/dt) = Λ
This equation can be solved for the rate of change of longitude, dθ/dt.
Hint: How much energy is in the storm?
Originally posted by Quest
I'm a physicist. I'm telling you... you can not model a hurricane like that. Even the best models of weather patterns i've ever seen are too complex to calculate.
Unless you want to boil it down to a simple phsyics problem, i don't get the point.
The total energy of the storm play almost no role in its path compared to the surrounding pressure systems. Most hurricanes tend to cruise along pressure fronts from what I've learned, and the actual kentic energy of the air currents play little role.
Originally posted by HowardRoark
Quest - I think he is leading up to some sort of "proof" that hurricanes are "steered" by HAARP.
Busted... but not by HAARP
Originally posted by Sri Oracle
Originally posted by HowardRoark
Quest - I think he is leading up to some sort of "proof" that hurricanes are "steered" by HAARP.
Busted... but not by HAARP
Originally posted by Sri Oracle
So, without further adieu, would someone care to help me make sense of all of these equations?
Socrates must have had a rough time of it,
Sri Oracle