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<br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />U <br />U <br />U <br />U <br />U <br />U <br />U <br />U <br /> <br />- 61 - <br /> <br /> <br />It; Ad{c T + Lw ) <br />p s <br />o <br /> <br />= _r~ (d(CP:c+ P;Z;)) <br />jo 1 - .J- <br />EL <br /> <br />(3.59) <br /> <br />If It is assumed that the moist adiabatic lapse rate y is constant <br />. m <br />. . . <br /> <br />along a streamline T = T - Y l; and eqn. (3. 59) becomes <br />. 0 m <br /> <br />~ l; Ad(c T + 1M ) _ _ tL(y c -g) <br />; p s . m p <br />o <br /> <br />)l; <br />. d ' <br />. y tc + It. L -.T c ). <br />m p'. :. . 0 p <br />o <br /> <br />or <br /> <br />~: Ad(CpT + 1M.> = <br /> <br />In (l.~ <br /> <br />(3.60) <br /> <br />T y:t<L ). . <br />o c <br />p <br /> <br />EL(y' +.y :) <br />m d <br />y <br />m <br /> <br />. '. ~ <br /> <br />where, Yd'= - g/cp is the dry adiabatic lapse rate.Since'Ymt; << (To - ~), <br />p <br />eqn.( 3 .6"0) . beeomes ' <br /> <br />~l; (l + ym/Y d)r. <br />Ad(cpT + Lws) = - g {l - c TIEL <br />o P ,0 <br /> <br />(3.61) <br /> <br />Combining e<1ns. (3.53) and (3.61) gives <br /> <br />p B 2 <br />..!!. '" ~ ..f.. [L + bgtJ = i< <br />p u 2 <br />o <br /> <br />(3.62) <br /> <br />where, <br /> <br />,": 1. <br /> <br />'.-', <br /> <br />'b = <br /> <br />; Ym <br />1 +- <br />Y <br />1 _ . d.- <br />1 - c T I€L <br />P 0 <br /> <br />(3.63) <br />