By Ludwig Prandtl, O. G. Tietjens, Engineering
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Extra resources for Fundamentals of Hydro- and Aeromechanics
As the whole mass of air sinks downward the up currents produced by the surface heat are kept down so that the condensation has no important effect (fair weather region). We will not here enter into a consideration of the fundamental effect of the earth's rotation upon these meteorological processes. 46 FUNDAMENTALS OF HYDRO- AND AEROMECHANICS In conclusion we shall discuss quite briefly a second kind of storm formation, which may be described as a storm caused by an upset of the weather. Here cold air breaks in under the warm air and pushes it up with consequent condensation (Fig.
Ya)Z. (1) The resulting force on an element dA of the surface is by Fig. , dxdy. 20. -The vertical component of the force on an element of surface dA has been found to be p'dxdy. , the lift, is obtained by integration over the whole surface of the balloon: L = or from (1) f f (PI' - p2')dxdy, STATIC LIFT ON GAS-FILLED AIRCRAFT 49 Therefore L = ('Y A - 'YO) . V = QA - Qa, (2) (Law of Archimedes) if we designate with Qa = 'YOV the weight of the gas and with QA = 'YA V the weight of air displaced.
A region of high pressure provides exactly opposite conditions. The air moves out radially, the height of the air layer decreases, and the temperature gradient becomes smaller, so that the distribution becomes stable. As the whole mass of air sinks downward the up currents produced by the surface heat are kept down so that the condensation has no important effect (fair weather region). We will not here enter into a consideration of the fundamental effect of the earth's rotation upon these meteorological processes.