2.2.2 $B<>=aCGG.29EY8:N((B

$dX$ $B$r%b%kJ,N($HJ,05$N4X?t$H$7$FI=$9$H0J2<$N$h$&$K$J$k(B.

$$dX = \Dinv{p} de - \left( \frac{e}{p^{2}} \right) dp.$$ (29)

$B$?$@$7(B $e$ mail protected],$NK0OB>x5$05$G$"$k(B. $B$3$N<0$K%/%i%&%8%&%9!&%/%i%Z%$(B $B%m%s$N<0(B

$$de = \frac{e \lambda dT}{R T^{2}},$$ (30)

$B$rBeF~$7$FJQ7A$9$k$H(B,

$$dX = \Dinv{p} de - \frac{e}{p^{2}} dp,$$

$$= \Dinv{p} \left( \frac{e \lambda dT}{R T^{2}} \right) - \frac{e}{p^{2}} \left( - \frac{ M p g}{R T} dz \right) ,$$

$$= \frac{e}{p} \frac{\lambda}{ R_{v} T^{2}} dT + \frac{e}{p} \frac{M g}{ R T} dz ,$$

$$= \frac{ \lambda X }{ R T^{2}} dT + \frac{M g X}{ R T} dz .$$ (31)

$B$H$J$k(B.

(20) $B<0$K(B (31) $B<0$rBeF~$9$k$3$H$G<>=aCGG.29EY8:N($,5a$^$k!%(B

$$c_{p}dT + M g dz + \lambda dX = 0 ,$$

$$c_{p} dT + M g dz + \lambda \left(\frac{\lambda X }{ R T^{2}} dT + \frac{M g X}{ R T} dz \right) = 0,$$

$$c_{p} \left( 1+ \frac{ \lambda^{2} X}{ c_{p} R T^{2}} \right) dT + M g \left( 1 + \frac{ \lambda X}{R T} \right) dz = 0,$$

$$\DD{T}{z} = - \frac{M g}{c_{p}} \left( \frac{ 1 + \frac{ \lambda X}{R T}} { 1 + \frac{ \lambda^{2} X}{ c_{p} R T^{2}} } \right).$$ (32)

$BJ?6QJ,;RNL$HJ?6QHfG.$r(B (13), (14) $B<0$rMQ$$(B $B$FI=8=$9$k$H(B, $B<>=aCGG.29EY8:N($O0J2<$N$h$&$KJQ7A$G$-$k(B.

$$\DD{T}{z} = - \frac{M_{d} g}{{c_{p}}_{d}} \left\{ \frac{ 1 + \fra... ...\frac{ \lambda X}{R T}} { 1 + \frac{ \lambda^{2} X}{ c_{p} R T^{2}} } \right) .$$ (33)

$B$5$i$K(B (32), (33) $B$rJQ7A$9$k$3$H$G(B $B29EY$N05NOHyJ,$O0J2<$N$h$&$K=q$1$k(B.

$$\DD{T}{p} = \frac{R T}{c_{p} p} \left( \frac{ 1 + \frac{ \lambda X}{R T}} { 1 + \frac{ \lambda^{2} X}{ c_{p} R T^{2}} } \right),$$ (34)

$$\DD{T}{p} = \frac{R T}{{c_{p}}_{d} p} \left\{ \Dinv{ 1 + \frac{( ... ... \frac{ \lambda X}{R T}} { 1 + \frac{ \lambda^{2} X}{ c_{p} R T^{2}} } \right).$$ (35)

$B$5$i$K=>[email protected],$,>/$J$$$H$9$k6a;w<0$r5a$a(B, mail protected],$,B?$$$H$9$k6a;w<0$bJ;$;$FF3=P$9$k(B. $B$=$NF3=P$O0J2<$N(B $BDL$j$G$"$k(B.

mail protected],$,>/$J$$6a;w(B

 
(32) $B<0$K$*$$$F==J,$K6E=L@[email protected],$N>/$J$$>l9g(B, $B$D$^$j(B

$$M \approx M_{d}, \;\;\; c_{p} \approx {c_{p}}_{d}, \;\;\; \frac{ \lambda X }{R T } \ll 1, \;\;\; \frac{ \lambda^{2} X }{ c_{p} R T^{2} } \ll 1,$$ (36)

$B$r9M$($k(B. $B$=$N>l9g$K$O(B,

$$\DD{T}{z} \approx - \frac{M_{d} g}{{c_{p}}_{d}} \left( 1 + \frac{ \lambda X}{R T} \right) \left( 1 - \frac{ \lambda^{2} X}{ {c_{p}}_{d} R T^{2}} \right) ,$$

$$\approx - \frac{M_{d} g}{{c_{p}}_{d}} \left\{ 1 - \frac{\lambda X}{ {c_{p}}_{d} T} \left( \frac{ \lambda}{ R T} - \frac{{c_{p}}_{d}}{R} \right) \right\},$$ (37)

$B$H6a;w$9$k$3$H$,$G$-$k(B. $BC"$7(B $X$ $B$K4X$9$k(B 2 $B/NL$O==J,$K>.$5$$$b$N$H$7$FL5;k$7$?(B.

mail protected],$,B?$$6a;w(B

 
(32) $B$K$*$$$F==J,$K6E=L@[email protected],$NB?$$>l9g(B, $B$9$J$o$A(B

$$M \approx M_{v}, \;\;\; c_{p} \approx {c_{p}}_{v}, \;\;\; \frac{ \lambda X }{R T } \gg 1, \;\;\; \frac{ \lambda^{2} X }{ c_{p} R T^{2} } \gg 1,$$ (38)

$B$N>l9g$K$O(B,

$$\DD{T}{z} \approx - \frac{M_{v} g}{{c_{p}}_{v}} \frac{\frac{ \lambda X}{R T}} {\frac{ \lambda^{2} X}{ {c_{p}}_{v} R T^{2}} } ,$$

$$= - \frac{M_{v} g T}{\lambda}$$ (39)

$B$H6a;w$9$k$3$H$,$G$-$k(B.