{VERSION 6 0 "IBM INTEL NT" "6.0" }
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{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 
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11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 
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-1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 
0 1 }}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 104 "zeta_char:=expand((
(c_C*m_sf/n_C)-(((c_H*m_sf/n_H)/(2*(c_C*m_sf/n_C)+2))*c_C*m_sf/n_C))/(
c_C*m_sf/n_C));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%*zeta_charG,&\"\"
\"F&**%%m_sfGF&%$c_HGF&%$n_HG!\"\",&**\"\"#F&%$c_CGF&F(F&%$n_CGF+F&F.F
&F+F+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "Right side of the solid \+
fuel mass balance equation:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }
{MPLTEXT 1 0 55 "V:=zeta_char*c_C*m_sf-chi*gamma_1*m_a-M_C_char*gamma_
2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"VG,(*(,&\"\"\"F(**%%m_sfGF(%
$c_HGF(%$n_HG!\"\",&**\"\"#F(%$c_CGF(F*F(%$n_CGF-F(F0F(F-F-F(F1F(F*F(F
(*(%$chiGF(%(gamma_1GF(%$m_aGF(F-*&%)M_C_charGF(%(gamma_2GF(F-" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(diff(V,m_sf));" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*.\"\"#\"\"\"%$c_CGF&%%m_sfGF&%$c_HG
F&%$n_HG!\"\",&**F%F&F'F&F(F&%$n_CGF+F&F%F&F+F+*0F%F&F'F%F(F%F)F&F*F+F
,!\"#F.F+F&F'F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "diff(V,m
_sf);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*(,&*(%$c_HG\"\"\"%$n_HG!\"
\",&**\"\"#F(%$c_CGF(%%m_sfGF(%$n_CGF*F(F-F(F*F**0F-F(F/F(F'F(F)F*F+!
\"#F.F(F0F*F(F(F.F(F/F(F(*&,&F(F(**F/F(F'F(F)F*F+F*F*F(F.F(F(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "diff(V,m_a);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#,$*&%$chiG\"\"\"%(gamma_1GF&!\"\"" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "diff(V,M_C_char);" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#,$%(gamma_2G!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 61 "m_C:=(1-zeta_char)*c_C*m_sf+chi*m_a*gamma_1+M_C_char*
gamma_2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$m_CG,(*,%%m_sfG\"\"#%$c
_HG\"\"\"%$n_HG!\"\",&**F(F*%$c_CGF*F'F*%$n_CGF,F*F(F*F,F/F*F**(%$chiG
F*%$m_aGF*%(gamma_1GF*F**&%)M_C_charGF*%(gamma_2GF*F*" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "diff(m_C,m_sf);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#,&*.\"\"#\"\"\"%$c_CGF&%%m_sfGF&%$c_HGF&%$n_HG!\"\",&
**F%F&F'F&F(F&%$n_CGF+F&F%F&F+F&*0F%F&F'F%F(F%F)F&F*F+F,!\"#F.F+F+" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "diff(m_C,m_a);" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#*&%$chiG\"\"\"%(gamma_1GF%" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 19 "diff(m_C,M_C_char);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#%(gamma_2G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
142 "m_g:=(m_C*n_CO2)/n_C+eta_h2o*m_sf+(1/2)*(c_H*m_sf*n_H2O)/n_H+c_N*
m_a+((c_a_O*m_a)/n_O+(c_sf_O*m_sf)/n_O-(2*m_C)/n_C-(1/2)*(c_H*m_sf)/n_
H)*n_O;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%$m_gG,,*(,(*,%%m_sfG\"\"#
%$c_HG\"\"\"%$n_HG!\"\",&**F*F,%$c_CGF,F)F,%$n_CGF.F,F*F,F.F1F,F,*(%$c
hiGF,%$m_aGF,%(gamma_1GF,F,*&%)M_C_charGF,%(gamma_2GF,F,F,%&n_CO2GF,F2
F.F,*&%(eta_h2oGF,F)F,F,*,F*F.F+F,F)F,%&n_H2OGF,F-F.F,*&%$c_NGF,F5F,F,
*&,**(%&c_a_OGF,F5F,%$n_OGF.F,*(%'c_sf_OGF,F)F,FEF.F,*(F*F,F'F,F2F.F.*
*F*F.F+F,F)F,F-F.F.F,FEF,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
12 "expand(m_g);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,:*0%&n_CO2G\"\"\"
%$n_CG!\"\"%%m_sfG\"\"#%$c_HGF&%$n_HGF(,&**F*F&%$c_CGF&F)F&F'F(F&F*F&F
(F/F&F&*,F%F&F'F(%$chiGF&%$m_aGF&%(gamma_1GF&F&**F%F&F'F(%)M_C_charGF&
%(gamma_2GF&F&*&%(eta_h2oGF&F)F&F&*,F*F(F+F&F)F&%&n_H2OGF&F,F(F&*&%$c_
NGF&F2F&F&*&%&c_a_OGF&F2F&F&*&%'c_sf_OGF&F)F&F&*2F*F&%$n_OGF&F+F&F)F*F
,F(F-F(F/F&F'F(F(*.F*F&FBF&F'F(F1F&F2F&F3F&F(*,F*F&FBF&F'F(F5F&F6F&F(*
,F*F(FBF&F+F&F)F&F,F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "
diff(m_g,m_sf);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,**(,&*.\"\"#\"\"\"
%$c_CGF(%%m_sfGF(%$c_HGF(%$n_HG!\"\",&**F'F(F)F(F*F(%$n_CGF-F(F'F(F-F(
*0F'F(F)F'F*F'F+F(F,F-F.!\"#F0F-F-F(%&n_CO2GF(F0F-F(%(eta_h2oGF(**F'F-
F+F(%&n_H2OGF(F,F-F(*&,(*&%'c_sf_OGF(%$n_OGF-F(*(F'F(F%F(F0F-F-*(F'F-F
+F(F,F-F-F(F;F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "diff(m
_g,m_a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(**%$chiG\"\"\"%(gamma_1G
F&%&n_CO2GF&%$n_CG!\"\"F&%$c_NGF&*&,&*&%&c_a_OGF&%$n_OGF*F&**\"\"#F&F%
F&F'F&F)F*F*F&F0F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "dif
f(m_g,M_C_char);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*(%(gamma_2G\"\"
\"%&n_CO2GF&%$n_CG!\"\"F&**\"\"#F&F%F&F(F)%$n_OGF&F)" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 48 "Right side of the water energy balance equation
:" }{MPLTEXT 1 0 150 "U:=m_w*c_iw*T_iw+epsilon_bcw*sigma*A_bcw*((T_bc)
^4-(T_w)^4)+alpha_bc*A_bcw*(T_bc-T_w)+alpha_gc*A_gcw*(T_gc-T_w)+alpha_
eg*A_egw*(T_eg-T_w)-m_w*c_w*T_w;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%
\"UG,.*(%$m_wG\"\"\"%%c_iwGF(%%T_iwGF(F(**%,epsilon_bcwGF(%&sigmaGF(%&
A_bcwGF(,&*$)%%T_bcG\"\"%F(F(*$)%$T_wGF3F(!\"\"F(F(*(%)alpha_bcGF(F.F(
,&F2F(F6F7F(F(*(%)alpha_gcGF(%&A_gcwGF(,&%%T_gcGF(F6F7F(F(*(%)alpha_eg
GF(%&A_egwGF(,&%%T_egGF(F6F7F(F(*(F'F(%$c_wGF(F6F(F7" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 12 "diff(U,T_w);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,,*,\"\"%\"\"\"%,epsilon_bcwGF&%&sigmaGF&%&A_bcwGF&)%$T
_wG\"\"$F&!\"\"*&%)alpha_bcGF&F)F&F-*&%)alpha_gcGF&%&A_gcwGF&F-*&%)alp
ha_egGF&%&A_egwGF&F-*&%$m_wGF&%$c_wGF&F-" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 13 "diff(U,T_bc);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*,
\"\"%\"\"\"%,epsilon_bcwGF&%&sigmaGF&%&A_bcwGF&)%%T_bcG\"\"$F&F&*&%)al
pha_bcGF&F)F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "diff(U,T
_gc);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&%)alpha_gcG\"\"\"%&A_gcwGF%
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "diff(U,T_eg);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#*&%)alpha_egG\"\"\"%&A_egwGF%" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "diff(U,T_iw);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#*&%$m_wG\"\"\"%%c_iwGF%" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 58 "Right side of the burning chamber energy balance equation
:" }{MPLTEXT 1 0 170 "T:=m_a*c_a*T_a+m_C*((1/4)*h_c_1+(3/4)*h_c_2)+(1/
4)*(m_C*n_CO*h_c_5)/n_C+c_H*m_sf*h_c_6-m_g*c_bc*T_bc-epsilon_bcw*sigma
*A_bcw*((T_bc)^4-(T_w)^4)-alpha_bc*A_bcw*(T_bc-T_w);" }}{PARA 12 "" 1 
"" {XPPMATH 20 "6#>%\"TG,0*(%$m_aG\"\"\"%$c_aGF(%$T_aGF(F(*&,(*,%%m_sf
G\"\"#%$c_HGF(%$n_HG!\"\",&**F/F(%$c_CGF(F.F(%$n_CGF2F(F/F(F2F5F(F(*(%
$chiGF(F'F(%(gamma_1GF(F(*&%)M_C_charGF(%(gamma_2GF(F(F(,&*&\"\"%F2%&h
_c_1GF(F(*(\"\"$F(F?F2%&h_c_2GF(F(F(F(*,F?F2F,F(%%n_COGF(%&h_c_5GF(F6F
2F(*(F0F(F.F(%&h_c_6GF(F(*(,,*(F,F(%&n_CO2GF(F6F2F(*&%(eta_h2oGF(F.F(F
(*,F/F2F0F(F.F(%&n_H2OGF(F1F2F(*&%$c_NGF(F'F(F(*&,**(%&c_a_OGF(F'F(%$n
_OGF2F(*(%'c_sf_OGF(F.F(FWF2F(*(F/F(F,F(F6F2F2**F/F2F0F(F.F(F1F2F2F(FW
F(F(F(%%c_bcGF(%%T_bcGF(F2**%,epsilon_bcwGF(%&sigmaGF(%&A_bcwGF(,&*$)F
gnF?F(F(*$)%$T_wGF?F(F2F(F2*(%)alpha_bcGF(F[oF(,&FgnF(FaoF2F(F2" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "diff(T,T_w);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#,&*,\"\"%\"\"\"%,epsilon_bcwGF&%&sigmaGF&%&A_bcwGF
&)%$T_wG\"\"$F&F&*&%)alpha_bcGF&F)F&F&" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 13 "diff(T,T_bc);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,(*&
,,*(,(*,%%m_sfG\"\"#%$c_HG\"\"\"%$n_HG!\"\",&**F*F,%$c_CGF,F)F,%$n_CGF
.F,F*F,F.F1F,F,*(%$chiGF,%$m_aGF,%(gamma_1GF,F,*&%)M_C_charGF,%(gamma_
2GF,F,F,%&n_CO2GF,F2F.F,*&%(eta_h2oGF,F)F,F,*,F*F.F+F,F)F,%&n_H2OGF,F-
F.F,*&%$c_NGF,F5F,F,*&,**(%&c_a_OGF,F5F,%$n_OGF.F,*(%'c_sf_OGF,F)F,FEF
.F,*(F*F,F'F,F2F.F.**F*F.F+F,F)F,F-F.F.F,FEF,F,F,%%c_bcGF,F.*,\"\"%F,%
,epsilon_bcwGF,%&sigmaGF,%&A_bcwGF,)%%T_bcG\"\"$F,F.*&%)alpha_bcGF,FOF
,F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(diff(T,T_bc))
;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,>*2%%c_bcG\"\"\"%&n_CO2GF&%$n_CG
!\"\"%%m_sfG\"\"#%$c_HGF&%$n_HGF),&**F+F&%$c_CGF&F*F&F(F)F&F+F&F)F0F&F
)*.F%F&F'F&F(F)%$chiGF&%(gamma_1GF&%$m_aGF&F)*,F%F&F'F&F(F)%)M_C_charG
F&%(gamma_2GF&F)*(F%F&%(eta_h2oGF&F*F&F)*.F+F)F%F&F,F&F*F&%&n_H2OGF&F-
F)F)*(F%F&%$c_NGF&F4F&F)*(F%F&%&c_a_OGF&F4F&F)*(F%F&%'c_sf_OGF&F*F&F)*
4F+F&F%F&%$n_OGF&F,F&F*F+F-F)F.F)F0F&F(F)F&*0F+F&F%F&FCF&F(F)F2F&F3F&F
4F&F&*.F+F&F%F&FCF&F(F)F6F&F7F&F&*.F+F)F%F&F,F&FCF&F-F)F*F&F&*,\"\"%F&
%,epsilon_bcwGF&%&sigmaGF&%&A_bcwGF&)%%T_bcG\"\"$F&F)*&%)alpha_bcGF&FK
F&F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "diff(T,m_sf);" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#,**&,&*.\"\"#\"\"\"%%m_sfGF(%$c_HGF(%$
n_HG!\"\",&**F'F(%$c_CGF(F)F(%$n_CGF,F(F'F(F,F/F(F(*0F'F(F)F'F*F(F+F,F
-!\"#F/F'F0F,F,F(,&*&\"\"%F,%&h_c_1GF(F(*(\"\"$F(F5F,%&h_c_2GF(F(F(F(*
,F5F,F%F(%%n_COGF(%&h_c_5GF(F0F,F(*&F*F(%&h_c_6GF(F(*(,**(F%F(%&n_CO2G
F(F0F,F(%(eta_h2oGF(**F'F,F*F(%&n_H2OGF(F+F,F(*&,(*&%'c_sf_OGF(%$n_OGF
,F(*(F'F(F%F(F0F,F,*(F'F,F*F(F+F,F,F(FJF(F(F(%%c_bcGF(%%T_bcGF(F," }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(diff(T,m_sf));" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#,@*0\"\"#!\"\"%$c_CG\"\"\"%%m_sfGF(%$c
_HGF(%$n_HGF&,&**F%F(F'F(F)F(%$n_CGF&F(F%F(F&%&h_c_1GF(F(*2\"\"$F(F%F&
F'F(F)F(F*F(F+F&F,F&%&h_c_2GF(F(*2F%F&F'F%F)F%F*F(F+F&F,!\"#F.F&F/F(F&
*4F1F(F%F&F'F%F)F%F*F(F+F&F,F4F.F&F2F(F&*4F%F&%%n_COGF(%&h_c_5GF(F.F&F
'F(F)F(F*F(F+F&F,F&F(*4F%F&F7F(F8F(F.F4F'F%F)F%F*F(F+F&F,F4F&*&F*F(%&h
_c_6GF(F(*6F%F(%%c_bcGF(%%T_bcGF(%&n_CO2GF(F.F&F'F(F)F(F*F(F+F&F,F&F&*
6F%F(F=F(F>F(F?F(F.F4F'F%F)F%F*F(F+F&F,F4F(*(F=F(F>F(%(eta_h2oGF(F&*.F
%F&F=F(F>F(F*F(%&n_H2OGF(F+F&F&*(F=F(F>F(%'c_sf_OGF(F&*6\"\"%F(F=F(F>F
(%$n_OGF(F.F&F'F(F)F(F*F(F+F&F,F&F(*6FHF(F=F(F>F(FIF(F.F4F'F%F)F%F*F(F
+F&F,F4F&*.F%F&F=F(F>F(F*F(FIF(F+F&F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "diff(T,m_a);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,**&%
$c_aG\"\"\"%$T_aGF&F&*(%$chiGF&%(gamma_1GF&,&*&\"\"%!\"\"%&h_c_1GF&F&*
(\"\"$F&F-F.%&h_c_2GF&F&F&F&*.F-F.F)F&F*F&%%n_COGF&%&h_c_5GF&%$n_CGF.F
&*(,(**F)F&F*F&%&n_CO2GF&F6F.F&%$c_NGF&*&,&*&%&c_a_OGF&%$n_OGF.F&**\"
\"#F&F)F&F*F&F6F.F.F&F@F&F&F&%%c_bcGF&%%T_bcGF&F." }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 17 "diff(T,M_C_char);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,(*&%(gamma_2G\"\"\",&*&\"\"%!\"\"%&h_c_1GF&F&*(\"\"$F&
F)F*%&h_c_2GF&F&F&F&*,F)F*F%F&%%n_COGF&%&h_c_5GF&%$n_CGF*F&*(,&*(F%F&%
&n_CO2GF&F2F*F&**\"\"#F&F%F&F2F*%$n_OGF&F*F&%%c_bcGF&%%T_bcGF&F*" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 54 "Right side of the gas chamber ener
gy balance equation:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 
55 "S:=m_g*(c_bc*T_bc-c_gc*T_gc)-alpha_gc*A_gcw*(T_gc-T_w);" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6#>%\"SG,&*&,,*(,(*,%%m_sfG\"\"#%$c_HG\"\"\"%$
n_HG!\"\",&**F,F.%$c_CGF.F+F.%$n_CGF0F.F,F.F0F3F.F.*(%$chiGF.%$m_aGF.%
(gamma_1GF.F.*&%)M_C_charGF.%(gamma_2GF.F.F.%&n_CO2GF.F4F0F.*&%(eta_h2
oGF.F+F.F.*,F,F0F-F.F+F.%&n_H2OGF.F/F0F.*&%$c_NGF.F7F.F.*&,**(%&c_a_OG
F.F7F.%$n_OGF0F.*(%'c_sf_OGF.F+F.FGF0F.*(F,F.F)F.F4F0F0**F,F0F-F.F+F.F
/F0F0F.FGF.F.F.,&*&%%c_bcGF.%%T_bcGF.F.*&%%c_gcGF.%%T_gcGF.F0F.F.*(%)a
lpha_gcGF.%&A_gcwGF.,&FRF.%$T_wGF0F.F0" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "diff(S,T_w);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&%)a
lpha_gcG\"\"\"%&A_gcwGF%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 
"diff(S,T_bc);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#*&,,*(,(*,%%m_sfG\"
\"#%$c_HG\"\"\"%$n_HG!\"\",&**F)F+%$c_CGF+F(F+%$n_CGF-F+F)F+F-F0F+F+*(
%$chiGF+%$m_aGF+%(gamma_1GF+F+*&%)M_C_charGF+%(gamma_2GF+F+F+%&n_CO2GF
+F1F-F+*&%(eta_h2oGF+F(F+F+*,F)F-F*F+F(F+%&n_H2OGF+F,F-F+*&%$c_NGF+F4F
+F+*&,**(%&c_a_OGF+F4F+%$n_OGF-F+*(%'c_sf_OGF+F(F+FDF-F+*(F)F+F&F+F1F-
F-**F)F-F*F+F(F+F,F-F-F+FDF+F+F+%%c_bcGF+" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 21 "expand(diff(S,T_bc));" }}{PARA 12 "" 1 "" {XPPMATH 
20 "6#,:*2%%c_bcG\"\"\"%&n_CO2GF&%$n_CG!\"\"%%m_sfG\"\"#%$c_HGF&%$n_HG
F),&**F+F&%$c_CGF&F*F&F(F)F&F+F&F)F0F&F&*.F%F&F'F&F(F)%$chiGF&%(gamma_
1GF&%$m_aGF&F&*,F%F&F'F&F(F)%)M_C_charGF&%(gamma_2GF&F&*(F%F&%(eta_h2o
GF&F*F&F&*.F+F)F%F&F,F&F*F&%&n_H2OGF&F-F)F&*(F%F&%$c_NGF&F4F&F&*(F%F&%
&c_a_OGF&F4F&F&*(F%F&%'c_sf_OGF&F*F&F&*4F+F&F%F&%$n_OGF&F,F&F*F+F-F)F.
F)F0F&F(F)F)*0F+F&F%F&FCF&F(F)F2F&F3F&F4F&F)*.F+F&F%F&FCF&F(F)F6F&F7F&
F)*.F+F)F%F&FCF&F,F&F*F&F-F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 13 "diff(S,T_gc);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,&*&,,*(,(*,%
%m_sfG\"\"#%$c_HG\"\"\"%$n_HG!\"\",&**F*F,%$c_CGF,F)F,%$n_CGF.F,F*F,F.
F1F,F,*(%$chiGF,%$m_aGF,%(gamma_1GF,F,*&%)M_C_charGF,%(gamma_2GF,F,F,%
&n_CO2GF,F2F.F,*&%(eta_h2oGF,F)F,F,*,F*F.F+F,F)F,%&n_H2OGF,F-F.F,*&%$c
_NGF,F5F,F,*&,**(%&c_a_OGF,F5F,%$n_OGF.F,*(%'c_sf_OGF,F)F,FEF.F,*(F*F,
F'F,F2F.F.**F*F.F+F,F)F,F-F.F.F,FEF,F,F,%%c_gcGF,F.*&%)alpha_gcGF,%&A_
gcwGF,F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(diff(S,T
_gc));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,<*2%%c_gcG\"\"\"%&n_CO2GF&%
$n_CG!\"\"%%m_sfG\"\"#%$c_HGF&%$n_HGF),&**F+F&%$c_CGF&F*F&F(F)F&F+F&F)
F0F&F)*.F%F&F'F&F(F)%$chiGF&%(gamma_1GF&%$m_aGF&F)*,F%F&F'F&F(F)%)M_C_
charGF&%(gamma_2GF&F)*(F%F&%(eta_h2oGF&F*F&F)*.F+F)F%F&F,F&F*F&%&n_H2O
GF&F-F)F)*(F%F&%$c_NGF&F4F&F)*(F%F&%&c_a_OGF&F4F&F)*(F%F&%'c_sf_OGF&F*
F&F)*4F+F&F%F&%$n_OGF&F,F&F*F+F-F)F.F)F0F&F(F)F&*0F+F&F%F&FCF&F(F)F2F&
F3F&F4F&F&*.F+F&F%F&FCF&F(F)F6F&F7F&F&*.F+F)F%F&FCF&F,F&F*F&F-F)F&*&%)
alpha_gcGF&%&A_gcwGF&F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "
diff(S,m_sf);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#*&,**(,&*.\"\"#\"\"\"
%%m_sfGF)%$c_HGF)%$n_HG!\"\",&**F(F)%$c_CGF)F*F)%$n_CGF-F)F(F)F-F0F)F)
*0F(F)F*F(F+F)F,F-F.!\"#F0F(F1F-F-F)%&n_CO2GF)F1F-F)%(eta_h2oGF)**F(F-
F+F)%&n_H2OGF)F,F-F)*&,(*&%'c_sf_OGF)%$n_OGF-F)*(F(F)F&F)F1F-F-*(F(F-F
+F)F,F-F-F)F<F)F)F),&*&%%c_bcGF)%%T_bcGF)F)*&%%c_gcGF)%%T_gcGF)F-F)" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(diff(S,m_sf));" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#,B*6\"\"#\"\"\"%%c_bcGF&%%T_bcGF&%&n_C
O2GF&%$n_CG!\"\"%$c_CGF&%%m_sfGF&%$c_HGF&%$n_HGF+,&**F%F&F,F&F-F&F*F+F
&F%F&F+F&*6F%F&F)F&F*F+F,F&F-F&F.F&F/F+F0F+%%c_gcGF&%%T_gcGF&F+*6F%F&F
'F&F(F&F)F&F*!\"#F,F%F-F%F.F&F/F+F0F6F+*6F%F&F)F&F*F6F,F%F-F%F.F&F/F+F
0F6F3F&F4F&F&*(F'F&F(F&%(eta_h2oGF&F&*(F9F&F3F&F4F&F+*.F%F+F'F&F(F&F.F
&%&n_H2OGF&F/F+F&*.F%F+F.F&F<F&F/F+F3F&F4F&F+*(F'F&F(F&%'c_sf_OGF&F&*(
F?F&F3F&F4F&F+*6\"\"%F&F'F&F(F&%$n_OGF&F*F+F,F&F-F&F.F&F/F+F0F+F+*6FBF
&FCF&F*F+F,F&F-F&F.F&F/F+F0F+F3F&F4F&F&*6FBF&F'F&F(F&FCF&F*F6F,F%F-F%F
.F&F/F+F0F6F&*6FBF&FCF&F*F6F,F%F-F%F.F&F/F+F0F6F3F&F4F&F+*.F%F+F'F&F(F
&FCF&F.F&F/F+F+*.F%F+FCF&F.F&F/F+F3F&F4F&F&" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 12 "diff(S,m_a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&
,(**%$chiG\"\"\"%(gamma_1GF'%&n_CO2GF'%$n_CG!\"\"F'%$c_NGF'*&,&*&%&c_a
_OGF'%$n_OGF+F'**\"\"#F'F&F'F(F'F*F+F+F'F1F'F'F',&*&%%c_bcGF'%%T_bcGF'
F'*&%%c_gcGF'%%T_gcGF'F+F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
17 "diff(S,M_C_char);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&*(%(gamma
_2G\"\"\"%&n_CO2GF'%$n_CG!\"\"F'**\"\"#F'F&F'F)F*%$n_OGF'F*F',&*&%%c_b
cGF'%%T_bcGF'F'*&%%c_gcGF'%%T_gcGF'F*F'" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 54 "Right side of the exhaust gas energy balance equation:" }
}{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 55 "R:=m_g*(c_gc*T_gc-c_e
g*T_eg)-alpha_eg*A_egw*(T_eg-T_w);" }{TEXT -1 0 "" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%\"RG,&*&,,*(,(*,%%m_sfG\"\"#%$c_HG\"\"\"%$n_HG!\"\",&
**F,F.%$c_CGF.F+F.%$n_CGF0F.F,F.F0F3F.F.*(%$chiGF.%(gamma_1GF.%$m_aGF.
F.*&%)M_C_charGF.%(gamma_2GF.F.F.%&n_CO2GF.F4F0F.*&%(eta_h2oGF.F+F.F.*
,F,F0F-F.F+F.%&n_H2OGF.F/F0F.*&%$c_NGF.F8F.F.*&,**(%&c_a_OGF.F8F.%$n_O
GF0F.*(%'c_sf_OGF.F+F.FGF0F.*(F,F.F)F.F4F0F0**F,F0F-F.F+F.F/F0F0F.FGF.
F.F.,&*&%%c_gcGF.%%T_gcGF.F.*&%%c_egGF.%%T_egGF.F0F.F.*(%)alpha_egGF.%
&A_egwGF.,&FRF.%$T_wGF0F.F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
12 "diff(R,T_w);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&%)alpha_egG\"\"
\"%&A_egwGF%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(diff
(R,T_gc));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,:*2%%c_gcG\"\"\"%&n_CO2
GF&%$n_CG!\"\"%%m_sfG\"\"#%$c_HGF&%$n_HGF),&**F+F&%$c_CGF&F*F&F(F)F&F+
F&F)F0F&F&*.F%F&F'F&F(F)%$chiGF&%(gamma_1GF&%$m_aGF&F&*,F%F&F'F&F(F)%)
M_C_charGF&%(gamma_2GF&F&*(F%F&%(eta_h2oGF&F*F&F&*.F+F)F%F&F,F&F*F&%&n
_H2OGF&F-F)F&*(F%F&%$c_NGF&F4F&F&*(F%F&%&c_a_OGF&F4F&F&*(F%F&%'c_sf_OG
F&F*F&F&*4F+F&F%F&%$n_OGF&F,F&F*F+F-F)F.F)F0F&F(F)F)*0F+F&F%F&FCF&F(F)
F2F&F3F&F4F&F)*.F+F&F%F&FCF&F(F)F6F&F7F&F)*.F+F)F%F&FCF&F,F&F*F&F-F)F)
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(diff(R,T_eg));" 
}}{PARA 12 "" 1 "" {XPPMATH 20 "6#,<*2%%c_egG\"\"\"%&n_CO2GF&%$n_CG!\"
\"%%m_sfG\"\"#%$c_HGF&%$n_HGF),&**F+F&%$c_CGF&F*F&F(F)F&F+F&F)F0F&F)*.
F%F&F'F&F(F)%$chiGF&%(gamma_1GF&%$m_aGF&F)*,F%F&F'F&F(F)%)M_C_charGF&%
(gamma_2GF&F)*(F%F&%(eta_h2oGF&F*F&F)*.F+F)F%F&F,F&F*F&%&n_H2OGF&F-F)F
)*(F%F&%$c_NGF&F4F&F)*(F%F&%&c_a_OGF&F4F&F)*(F%F&%'c_sf_OGF&F*F&F)*4F+
F&F%F&%$n_OGF&F,F&F*F+F-F)F.F)F0F&F(F)F&*0F+F&F%F&FCF&F(F)F2F&F3F&F4F&
F&*.F+F&F%F&FCF&F(F)F6F&F7F&F&*.F+F)F%F&FCF&F,F&F*F&F-F)F&*&%)alpha_eg
GF&%&A_egwGF&F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(d
iff(R,m_sf));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,B*6\"\"#\"\"\"%&n_CO
2GF&%$n_CG!\"\"%$c_CGF&%%m_sfGF&%$c_HGF&%$n_HGF),&**F%F&F*F&F+F&F(F)F&
F%F&F)%%c_gcGF&%%T_gcGF&F&*6F%F&F'F&F(F)F*F&F+F&F,F&F-F)F.F)%%c_egGF&%
%T_egGF&F)*6F%F&F'F&F(!\"#F*F%F+F%F,F&F-F)F.F6F0F&F1F&F)*6F%F&F'F&F(F6
F*F%F+F%F,F&F-F)F.F6F3F&F4F&F&*(%(eta_h2oGF&F0F&F1F&F&*(F9F&F3F&F4F&F)
*.F%F)F,F&%&n_H2OGF&F-F)F0F&F1F&F&*.F%F)F,F&F<F&F-F)F3F&F4F&F)*(%'c_sf
_OGF&F0F&F1F&F&*(F?F&F3F&F4F&F)*6\"\"%F&%$n_OGF&F(F)F*F&F+F&F,F&F-F)F.
F)F0F&F1F&F)*6FBF&FCF&F(F)F*F&F+F&F,F&F-F)F.F)F3F&F4F&F&*6FBF&FCF&F(F6
F*F%F+F%F,F&F-F)F.F6F0F&F1F&F&*6FBF&FCF&F(F6F*F%F+F%F,F&F-F)F.F6F3F&F4
F&F)*.F%F)FCF&F,F&F-F)F0F&F1F&F)*.F%F)FCF&F,F&F-F)F3F&F4F&F&" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "diff(R,m_a);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#*&,(**%$chiG\"\"\"%(gamma_1GF'%&n_CO2GF'%$n_CG!\"
\"F'%$c_NGF'*&,&*&%&c_a_OGF'%$n_OGF+F'**\"\"#F'F&F'F(F'F*F+F+F'F1F'F'F
',&*&%%c_gcGF'%%T_gcGF'F'*&%%c_egGF'%%T_egGF'F+F'" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 17 "diff(R,M_C_char);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#*&,&*(%(gamma_2G\"\"\"%&n_CO2GF'%$n_CG!\"\"F'**\"\"#F'F
&F'F)F*%$n_OGF'F*F',&*&%%c_gcGF'%%T_gcGF'F'*&%%c_egGF'%%T_egGF'F*F'" }
}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 43 "Right side of the O2 mass balanc
e equation:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 69 "Q:=(c_a
_O*m_a+c_sf_O*m_sf-2*m_C*n_O/n_C-1/2*c_H*n_O/n_H*m_sf-O2*m_g);" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"QG,,*&%&c_a_OG\"\"\"%$m_aGF(F(*&%'
c_sf_OGF(%%m_sfGF(F(**\"\"#F(,(*,F,F.%$c_HGF(%$n_HG!\"\",&**F.F(%$c_CG
F(F,F(%$n_CGF3F(F.F(F3F6F(F(*(%$chiGF(F)F(%(gamma_1GF(F(*&%)M_C_charGF
(%(gamma_2GF(F(F(%$n_OGF(F7F3F3*,F.F3F>F(F1F(F,F(F2F3F3*&%#O2GF(,,*(F/
F(%&n_CO2GF(F7F3F(*&%(eta_h2oGF(F,F(F(*,F.F3F1F(F,F(%&n_H2OGF(F2F3F(*&
%$c_NGF(F)F(F(*&,**(F'F(F)F(F>F3F(*(F+F(F,F(F>F3F(*(F.F(F/F(F7F3F3**F.
F3F1F(F,F(F2F3F3F(F>F(F(F(F3" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 13 "diff(Q,m_sf);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,*%'c_sf_OG\"\"
\"**\"\"#F%,&*.F'F%%%m_sfGF%%$c_HGF%%$n_HG!\"\",&**F'F%%$c_CGF%F*F%%$n
_CGF-F%F'F%F-F0F%F%*0F'F%F*F'F+F%F,F-F.!\"#F0F'F1F-F-F%%$n_OGF%F1F-F-*
*F'F-F4F%F+F%F,F-F-*&%#O2GF%,**(F(F%%&n_CO2GF%F1F-F%%(eta_h2oGF%**F'F-
F+F%%&n_H2OGF%F,F-F%*&,(*&F$F%F4F-F%*(F'F%F(F%F1F-F-*(F'F-F+F%F,F-F-F%
F4F%F%F%F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(diff(Q
,m_sf));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,:%'c_sf_OG\"\"\"*2\"\"%F%
%$n_OGF%%$n_CG!\"\"%%m_sfGF%%$c_HGF%%$n_HGF*,&**\"\"#F%%$c_CGF%F+F%F)F
*F%F0F%F*F1F%F**2F'F%F(F%F)!\"#F+F0F,F%F-F*F.F3F1F0F%**F0F*F(F%F,F%F-F
*F**4F0F%%#O2GF%%&n_CO2GF%F)F*F+F%F,F%F-F*F.F*F1F%F**4F0F%F6F%F7F%F)F3
F+F0F,F%F-F*F.F3F1F0F%*&F6F%%(eta_h2oGF%F**,F0F*F6F%F,F%%&n_H2OGF%F-F*
F**&F6F%F$F%F**4F'F%F6F%F(F%F)F*F+F%F,F%F-F*F.F*F1F%F%*4F'F%F6F%F(F%F)
F3F+F0F,F%F-F*F.F3F1F0F**,F0F*F6F%F(F%F,F%F-F*F%" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 12 "diff(Q,m_a);" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#,(%&c_a_OG\"\"\"*,\"\"#F%%$chiGF%%(gamma_1GF%%$n_OGF%%$n_CG!\"\"F,*
&%#O2GF%,(**F(F%F)F%%&n_CO2GF%F+F,F%%$c_NGF%*&,&*&F$F%F*F,F%**F'F%F(F%
F)F%F+F,F,F%F*F%F%F%F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "e
xpand(diff(Q,m_a));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,.%&c_a_OG\"\"
\"*,\"\"#F%%$chiGF%%(gamma_1GF%%$n_OGF%%$n_CG!\"\"F,*,%#O2GF%F(F%F)F%%
&n_CO2GF%F+F,F,*&F.F%%$c_NGF%F,*&F.F%F$F%F,*.F'F%F.F%F(F%F)F%F*F%F+F,F
%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "diff(Q,M_C_char);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,&**\"\"#\"\"\"%(gamma_2GF&%$n_CG!\"\"
%$n_OGF&F)*&%#O2GF&,&*(F'F&%&n_CO2GF&F(F)F&**F%F&F'F&F(F)F*F&F)F&F)" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "expand(diff(Q,M_C_char));
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(**\"\"#\"\"\"%(gamma_2GF&%$n_OGF
&%$n_CG!\"\"F***%#O2GF&F'F&%&n_CO2GF&F)F*F**,F%F&F,F&F'F&F(F&F)F*F&" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "diff(Q,O2);" }}{PARA 12 "
" 1 "" {XPPMATH 20 "6#,,*(,(*,%%m_sfG\"\"#%$c_HG\"\"\"%$n_HG!\"\",&**F
(F*%$c_CGF*F'F*%$n_CGF,F*F(F*F,F/F*F**(%$chiGF*%$m_aGF*%(gamma_1GF*F**
&%)M_C_charGF*%(gamma_2GF*F*F*%&n_CO2GF*F0F,F,*&%(eta_h2oGF*F'F*F,*,F(
F,F)F*F'F*%&n_H2OGF*F+F,F,*&%$c_NGF*F3F*F,*&,**(%&c_a_OGF*F3F*%$n_OGF,
F**(%'c_sf_OGF*F'F*FCF,F**(F(F*F%F*F0F,F,**F(F,F)F*F'F*F+F,F,F*FCF*F,
" }}}{EXCHG {PARA 12 "" 1 "" {XPPMATH 20 "6#,,*(,(*,%%m_sfG\"\"#%$c_HG
\"\"\"%$n_HG!\"\",&**F(F*%$c_CGF*F'F*%$n_CGF,F*F(F*F,F/F*F**(%$chiGF*%
$m_aGF*%(gamma_1GF*F**&%)M_C_charGF*%(gamma_2GF*F*F*%&n_CO2GF*F0F,F**&
%(eta_h2oGF*F'F*F**,F(F,F)F*F'F*%&n_H2OGF*F+F,F**&%$c_NGF*F3F*F**&,**(
%&c_a_OGF*F3F*%$n_OGF,F**(%'c_sf_OGF*F'F*FCF,F**(F(F*F%F*F0F,F,**F(F,F
)F*F'F*F+F,F,F*FCF*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "ex
pand(diff(Q,O2));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,:*0%&n_CO2G\"\"
\"%$n_CG!\"\"%%m_sfG\"\"#%$c_HGF&%$n_HGF(,&**F*F&%$c_CGF&F)F&F'F(F&F*F
&F(F/F&F(*,F%F&F'F(%$chiGF&%(gamma_1GF&%$m_aGF&F(**F%F&F'F(%)M_C_charG
F&%(gamma_2GF&F(*&%(eta_h2oGF&F)F&F(*,F*F(F+F&F)F&%&n_H2OGF&F,F(F(*&%$
c_NGF&F3F&F(*&%&c_a_OGF&F3F&F(*&%'c_sf_OGF&F)F&F(*2F*F&%$n_OGF&F+F&F)F
*F,F(F-F(F/F&F'F(F&*.F*F&FBF&F'F(F1F&F2F&F3F&F&*,F*F&FBF&F'F(F5F&F6F&F
&*,F*F(FBF&F+F&F)F&F,F(F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 28 "New \+
solid fuel mass balance:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 
0 55 "N:=zeta_char*c_C*m_sf-chi*m_a*gamma_1-M_C_char*gamma_2;" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"NG,(*(,&\"\"\"F(**%%m_sfGF(%$c_HGF
(%$n_HG!\"\",&**\"\"#F(%$c_CGF(F*F(%$n_CGF-F(F0F(F-F-F(F1F(F*F(F(*(%$c
hiGF(%$m_aGF(%(gamma_1GF(F-*&%)M_C_charGF(%(gamma_2GF(F-" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "diff(N,m_sf);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,&*(,&*(%$c_HG\"\"\"%$n_HG!\"\",&**\"\"#F(%$c_CGF(%%m_s
fGF(%$n_CGF*F(F-F(F*F**0F-F(F/F(F'F(F)F*F+!\"#F.F(F0F*F(F(F.F(F/F(F(*&
,&F(F(**F/F(F'F(F)F*F+F*F*F(F.F(F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 12 "diff(N,m_a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&%
$chiG\"\"\"%(gamma_1GF&!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 17 "diff(N,M_C_char);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$%(gamma_2
G!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 28 "Old solid fuel mass bal
ance:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 35 "P:=m_sf-m_C-(
c_H+eta_h2o+c_O)*m_sf;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PG,,%%m_
sfG\"\"\"*,F&\"\"#%$c_HGF'%$n_HG!\"\",&**F)F'%$c_CGF'F&F'%$n_CGF,F'F)F
'F,F/F'F,*(%$chiGF'%(gamma_1GF'%$m_aGF'F,*&%)M_C_charGF'%(gamma_2GF'F,
*&,(F*F'%(eta_h2oGF'%$c_OGF'F'F&F'F," }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 13 "diff(P,m_sf);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,.\"
\"\"F$*.\"\"#F$%$c_CGF$%%m_sfGF$%$c_HGF$%$n_HG!\"\",&**F&F$F'F$F(F$%$n
_CGF+F$F&F$F+F+*0F&F$F'F&F(F&F)F$F*F+F,!\"#F.F+F$F)F+%(eta_h2oGF+%$c_O
GF+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "diff(P,m_a);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&%$chiG\"\"\"%(gamma_1GF&!\"\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "diff(P,M_C_char);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#,$%(gamma_2G!\"\"" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "expa
nd(m_C/n_C);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*.%$c_HG\"\"\"%%m_sf
G\"\"#%$n_HG!\"\",&**F(F&%$c_CGF&F'F&%$n_CGF*F&F(F&F*F-F&F.F*F&**F.F*%
$chiGF&%(gamma_1GF&%$m_aGF&F&*(F.F*%)M_C_charGF&%(gamma_2GF&F&" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "expand(m_g);" }}{PARA 12 "" 
1 "" {XPPMATH 20 "6#,:*0%&n_CO2G\"\"\"%$n_CG!\"\"%%m_sfG\"\"#%$c_HGF&%
$n_HGF(,&**F*F&%$c_CGF&F)F&F'F(F&F*F&F(F/F&F&*,F%F&F'F(%$chiGF&%(gamma
_1GF&%$m_aGF&F&**F%F&F'F(%)M_C_charGF&%(gamma_2GF&F&*&%(eta_h2oGF&F)F&
F&*,F*F(F+F&F)F&%&n_H2OGF&F,F(F&*&%$c_NGF&F3F&F&*&%&c_a_OGF&F3F&F&*&%'
c_sf_OGF&F)F&F&*2F*F&%$n_OGF&F+F&F)F*F,F(F-F(F/F&F'F(F(*.F*F&FBF&F'F(F
1F&F2F&F3F&F(*,F*F&FBF&F'F(F5F&F6F&F(*,F*F(FBF&F+F&F)F&F,F(F(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "m_C;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#,(*,%%m_sfG\"\"#%$c_HG\"\"\"%$n_HG!\"\",&**F&F(%$c_CGF(
F%F(%$n_CGF*F(F&F(F*F-F(F(*(%$chiGF(%(gamma_1GF(%$m_aGF(F(*&%)M_C_char
GF(%(gamma_2GF(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 94 "test1:
=((c_C*m_sf/n_C)-(((c_H*m_sf/n_H)/(2*(c_C*m_sf/n_C)+2))*c_C*m_sf/n_C))
/((c_C*m_sf)/n_C);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&test1G**,&*(%
$c_CG\"\"\"%%m_sfGF)%$n_CG!\"\"F)*.%$c_HGF)F*\"\"#%$n_HGF,,&**F/F)F(F)
F*F)F+F,F)F/F)F,F(F)F+F,F,F)F(F,F*F,F+F)" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 70 "test2:=((c_H*m_sf)/(n_H))/(2*((c_C*m_sf)/(n_C))+2)*((
c_C*m_sf)/(n_C));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&test2G*.%$c_HG
\"\"\"%%m_sfG\"\"#%$n_HG!\"\",&**F)F'%$c_CGF'F(F'%$n_CGF+F'F)F'F+F.F'F
/F+" }}}}{MARK "48 1 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }