lect_04 - Kinematics The atmosphere is characterized by...

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1 Kinematics The atmosphere is characterized by horizontal (and vertical) variations in the wind field. For example, look at the horizontal variations of wind speed and direction (and hence u and v ) on this weather map depicting surface streamlines. These horizontal variations can be expressed as partial derivatives of and with respect to x and y . • Consider the possible sums of derivatives that can be constructed including a derivative of with respect to one direction and a derivative of with respect to the other direction: y u x v y u x v y v x u y v x u + + • What do these quantities tell us about the characteristics of the fluid flow? Let’s use a Taylor series expansion for find out.
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2 Terms Order Higher y y v x x v v y x v Terms Order Higher y y u x x u u y x u + + + = + + + = 0 0 0 0 0 0 ) , ( ) , ( • Neglecting the higher order terms (because they are
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This note was uploaded on 10/25/2011 for the course ENVSCI 324 taught by Professor Broccoli during the Spring '11 term at Rutgers.

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lect_04 - Kinematics The atmosphere is characterized by...

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