Environmental Risks and Disaster4

Environmental Risks and Disaster4 - Environmental Risks and...

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Environmental Risks and Disasters Lecture Notes 5 (02/05/2008) Atmospheric stability / Mitigation of tornado hazards Atmospheric stability 1. The second force, other than gravity, that acts on the air is due to variations in pressure. To see how this force comes about, consider what happens if we have a low and a high pressure, like the ones that we see on a weather map. Between the low and the high pressure on this map, the pressure increases from low to high. Now, consider a parcel of air sitting somewhere between the low and high. On one side it will be affected by a lower pressure than on the other, that is it will be `pushed' harder on one side than on the other. We can use some simple physics to describe this quantitatively, in particular if we use a diagram. Consider the air in a tube of cross-sectional area A. The force on the air from the `low' side is FL = PL x A, on the `high' side FH = PH x A. We can write down what the net force is by subtracting the two, F = (PL - PH) x (A) If we wanted to write this in terms of a force per unit volume, we need to divide by the volume of the gas, which is V = A x length, and we get F/V = (PL - PH) / (length) 2. We see from this equation, that the force acting on a parcel of air with given volume, is proportional to the gradient (slope) in the pressure. This is, as you probably realized some time ago, a force that can generate winds, since it pushes air from high pressures to low pressures. 3. At sea level, the air pressure does not vary by very much horizontally, normally perhaps by 10 mb, or 1%. Instead, we all have experienced that pressure varies quite rapidly in the vertical direction. The human body is quite sensitive to pressure variations, in particular our ears. If we go to Denver the air pressure is noticeably different. Denver is at an elevation of 1600 m (approx.), and the air pressure is around 840 mb. On Mount Everest the pressure is around 400 mb. 4. Given these large vertical pressure variations, a natural question is why air does not simply rise, since we just figured out that there should be a force in the direction towards lower pressures. The answer is that most of the time the upward force, caused by the pressure gradient, is directly matched by the force of gravity which pulls the air down. In order to see when this statement breaks down, we
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need to look more in detail at what happens to a parcel of air as we move it around in the atmosphere. 5. Consider again a parcel of air sitting at rest at some altitude, and therefore at some pressure. We know from experience, that if we heat up this air, it will expand and become less dense. This is expressed by one of the so-called gas laws which says that at a given pressure, the volume of a gas is proportional to its absolute temperature. Charles's law: V = constant x T. Therefore, a parcel of air that gets hotter will expand. When it expands, its density
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This note was uploaded on 09/29/2008 for the course ENV V1201 taught by Professor Goranekstrom during the Spring '07 term at Columbia.

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Environmental Risks and Disaster4 - Environmental Risks and...

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