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<br />- 60 - <br /> <br />c dT - adp = -L dw <br />P s <br /> <br />Combining this with eqn. (3.43) yields <br /> <br />dp <br />a d(Lw ) <br />s <br /> <br />Tc <br />(1 - J ) :: <br />EL <br /> <br />RT2c <br />" P <br />2 <br />€w L <br />s <br /> <br />1 ... <br /> <br />From eqns. (3.54) and (3.55) <br /> <br />RT2c <br />1 ... .~ = <br />EW L <br />s <br /> <br />Tc d{c T ... Lw ) <br />(l _ -P. ) . p s <br />€L d{Lw ) <br />s <br /> <br />Using eqn. (3.56) the integral in eqn. (3.53) can be ~itten as <br /> <br />I: Ad(V + <br /> <br />From eqn. ( 3 . 52 ) <br /> <br />Lw ) <br />s <br /> <br />. r' d(C~:T:CLw.). r' ( d(Lw~~) <br />Jo p Jo 1 - -P. <br />1 + 2 eL <br />EW L <br />s <br /> <br />d(Lw ) = -d(c T + gt + q2/2) <br />s P.., <br /> <br />or, since q2/2 is small compared with the other terms, <br /> <br />d(Lw ) = - (c T ... g~) <br />s p <br /> <br />Combining eqns. (3.57) and (3.58) <br /> <br />(3.54) <br /> <br />I~- <br />1__, <br />L <br />L <br />I- <br />I- <br />1.- <br />L <br />I- <br />I- <br />I- <br />I- <br />1- <br />I-~ <br />I- <br />I- <br />I- <br />I- <br />1- <br /> <br />(3.55) <br /> <br />(3.56) <br /> <br />(3.57) <br /> <br />(3.58) <br />