煤烧圆家重点实验宝 For an isothermal gas layer of thickness s is ()=10)x+,0-c)(69 If only emission is considered, the emissivity is defined as S/Ib (6-10) National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn
NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn For an isothermal gas layer of thickness s is ( ) ( ) ( ) − − I s = I e + I − e 0 b 1 (6-9) If only emission is considered, the emissivity is defined as ( ) − = I s I = − e / b 1 (6-10)
煤量甏圆家重点实验宝 2)Scattering The total spectral radiative heat flux impinging on da from solid angle dA; as (d45·)2dn This flux travels through dV for a distance ds/S.s The total amount of energy scattered away from si is ,(,(M8)2d)24。=an()Bdm National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn
NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn 2) Scattering The total spectral radiative heat flux impinging on dA from solid angle di as I (s ˆ i )(dAs ˆ i s ˆ)di d. This flux travels through dV for a distance ds s s i / ˆ ˆ The total amount of energy scattered away from si is ( ( )( ) ) I (s )dAd d ds s s ds I s dAs s d d s i i i s i i i = ˆ ˆ ˆ ˆ ˆ ˆ
煤烧圆家重点实验宝 THE EQUATION OF RADIATIVE TRANSFER IN PARTICIPATING MEDIA 5u⊥ ds dQ2 -ds+---- National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn
NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn
煤量烧圆家重点实验宝 The fraction D(S, S)dQ/4 T is scattered into the cone de around the direction s dn-scattering phase function The amount of energy flux from dQ2, scattered into dQ2 an1(42d14:g2 4兀 National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn
NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn The fraction (s ˆ i ,s ˆ)d / 4 is scatteried into the cone d around the direction s η - scattering phase function The amount of energy flux from di scattered into d ( ) ( ) d d s s I s dAd d ds i s i i 4 ˆ , ˆ ˆ
煤烧圆家重点实验宝 The energy flux scattered into the direction s from all Incoming direction Si I(s.MAc2dndsΦ(s n/sca (sdAdQdn 4 sn n n。214x or dI,(s) snL I,(S, ) P(S, S)s2 (6-10 sca 4丌J4z Which is valid anywhere inside an arbitrary volume National Lab, of Coal Combustion. HUST Wuhan 430074 P R CHINA E-mail:pcbnlcc@hust.edu.cn
NL CC National Lab. of Coal Combustion, HUST Wuhan 430074, P. R. CHINA E-mail: pcbnlcc@hust.edu.cn The energy flux scattered into the direction s from all incoming direction si ( ) ( ) ( ) ( ) 4 ˆ ˆ ˆ , ˆ 4 = d dI s dAd d I s dAd d ds s s s i i i sca or ( ) ( ) ( ) ( ) i i i s sca dI s = ds I s s s d 4 ˆ ˆ , ˆ 4 ˆ (6-10) Which is valid anywhere inside an arbitrary volume