Korean Chemical Engineering Research
전체 글
(2) . MJ ~Z@ @M²Q M- ò¤2 o îîªõ Í(Ê Àk, «Ë õ (,Ñ À´ ¬J¯ .× +« ÍDG. 2. Abstract − The wide use of metal dusts have been found in industrial field and many dust explosion accidents occur by fire spread of dust layer. In this study, we developed a new experimental device to examine fire and explosion characteristics of the dust layer. Aspects of the burning zone over metals(Mg, Zr, Ta, Ti, etc) and PMMA(Polymethyl methacrylate) dust layers have been investigated experimentally to clarify behaviors (Spread rate and quenching distance) and effects of N2 surrounding gas on the fire spread over metal dust layers. From the experimental result, it was found that the spread rate of metal dusts is larger than PMMA, the dependability of spread rate over the thickness of dust layer is small, and the minimum oxygen concentration of spread flame over Mg dust layer is 3.6-3.7 vol%. Since high correlation between the spread rate and the reciprocal of quenching distance was seen, relative risk prediction in those inflammable parameters can be predicted. Key words: Dust Layer, Dust Explosion, Flame Spread, Quenching Distance, Spread Rate. 1.. C «. Ü MÉDD zé0³, Zro òÉt Ù àÆ zé0³ Ä « ÍGÊ À. «sF, M àÆ f\ d Ú fÆÑ2  ~d D¬« ¬
(3) k³ ÄæÊ Àk, fÆà_ d, Êd Ñ ¤äæ´ õ k³ ñ § ~Í G( \K dé, °è Ê ò¯k³ ÊÄGÊ À. é02 ~ =Í æ
(4) ³_ ¿D ôdòÑ g àD OÑ Ä«Gj õGj æ2), ~, ¤®Í 6Ê À2 ÍÒ), ~ °è Ê2 Al, Mg Í Íß Q(O, Ti, Zr, Ta, Cr, Mn, Fe, Zn, ä Ùê ço ~ °è Ê ÝÊæÊ À. ~,Ñ K dé°è ég2, ~,« àD OÑ ~æ´ À2 zK =Ñ è@O O 4n¶, WO« åMÒ ~ Î MJK ~@ ôdÑ K ÍD ¿. MJ ~@ õ U Ñ îg2, å(smoldering)[1-4], Êõ0, õY ÙÑ îwGñ, ~ ½ , ~@ &ÿ ÙÑ ¬g Q« Æ æ´ Àk. MÉàÆ èMÑ ¶ MÉf\ ß é0o £~K ãõ Í(
(5)
(6) dÍ O®g k, «Q Wÿ Íà Ú élÄ Ä «W« « ®gæÊ À. õ Ë
(7) , í¯ SD÷ ôT{ Ù MÉDD «)2, § ~dê Mg-Al Y« ?³ ÄæÊ À . Mg2 kÎ ÍÒ k³ Mɲ ó , öù ÙÑ ´
(8) (O, èd Ù ä.× « D )éÑ, Alê YÑ g ³_K DªJ ã Ú ä 8_dõ zñG´ GÊ À. ³ äJk³ Mg-Al Yo 9:1 YWS³ fÆæÊ À2), 8Ms .g Al WSs ñ UM¾ l dG2 ao Mg ßYs 5 ¤ ÇD )éÑ YÄJ«( :. Mg «Ñ, Ta2 Y- Ù Î † To. whom correspondence should be addressed. E-mail: [email protected]. 47.
(9) KÎ. 48. , ~.D Æ k³2 OÑ õ U s Æ K Í ¬ z~«[5]. 6÷ MJ ~@s õ¬Í M²G2 dM ²Ñ îK õg2, « ~.D Æ Ñ õ U s Æ K 2 M Çk, MJ ~@ dM²õ GDÑ 2 K Y« Q. ~ MJ s d« M²G2 .× s ÍG2 örk³2 Siwekê Pellmont[6] õgÍ À2), MJ ~ õ Î? =³ Gñ ³Ñ ôdQ ) dM²Í ´ . _ ,}G2 ÍG2 dM² Dts 6ª³ ~ÍGñ .× s ÍGÊ À. « Q×rÑ g »´, )«õ lÄGñ MJ ~ ¬J .× WGÍ ÍDG. 6÷ ~ í à _ _
(10) J .× ÍQ ~W·DªDg ö° ª ÙÑ J ÄGD .K Dð )« fà«¶2 YÄJ îYÑ á
(11) , d M² Ú M-Ñ ¬K MJ~ õ s gJk³ ÍGD .K ÁêJ¯ Y×ßj Ú ör« ®gæÊ À. á õg2, MJ ~@ dM² U s gGD .K D ð õg³, MJ ~, dé, °è .× Ír íè Ú õ U j +s IJk³ GÊ À. «õ .g, MJ~, ôd á õ (,³, M-Q dM² õ QÑ +_ Í DGñ ÁSJk³ Æ O ¤ À2 Y×ßjõ *Åj íèGÊ, ÎÎ õ U j Ú îîªÑ ¬g §Gj Æ G. Æß Dª, W ÑÑ MJ ~Í ÊéG2 Î ~ ôdÑ K dé°è .× « ÊéGD )éÑ, Kª d M²(M-) (Ro kÎ O®G. K, 0Q ço ~.D Í) OÑ õ ÍDK MgÑ ¬K õ )«(M-, d M² )2 G[5], á õg Y× ê2 YÄJ¯ )« ³ lÄ« ÍDG, á õg Y×ßjõ ÄG
(12) ñ6 Í( MJ ~ dé, °èÑ îK _
(13) J .× ÍÍ ÍDG. 2.. / . /#ð£ o MJ ~@ dM²õ îûGD .Gñ fÊ K Y×ßj³, õ ÄD, ~.D Í) HYßj, Q0L
(14) , Ydß 2-1. Fig. 1. Fig. 1. Experimental setup for identifying combustion characteristics of dust layer.. ¤@¤ C43× C1 2005 2. Fig. 2. Schematic of dust sample holder.. j³ g æ´ À. àD OÑ O 4n¶ ~.D Í) OÑ dM² U s Æ G2 a« ÍDG´ Ê õÄDõ. ÄGÊ, õÄD z Öo ~.D Í) è³ HYs .K GäD òOs O O 4n¶, ÖÑ K DÍ2 Q0 L
(15) Ñ ¬ GÊ À´, ãf ¬Í ~.DÑ õU îû ÍDG ÷, á õgÑ2 _( DÍ ~.D OÑ Y×k³O K_G . MJ ~@Ñ À´ dM²Q QÑ Kª d M²(M-) +_« ÍDG´, Q0 L
(16) o Fig. 2Q ç« fÊG. Q0 L
(17) 2, ° 10 mmL« 100 mm_« Î 1, 3, 5, 7 mm )³s äk, d k³ ¯K dÍ Ñ æ( :j GD .g é0s z(Brass; Cu 70%/Zn 30%)k³ G. á õgÑ ÍG2 MJ ~ M-2, Fig. 2Ñ Q ç« Q0 L
(18) Ñ ³ «³ è³Gj MJQ- o = Ñ MJ ³s ôdQ- d« M²Gj î ), ù Y Ñ g « «P´(2 Q0 L
(19) ° L«³ _G2), « õ Kª dM² U j³ ÍG. 2-2. Ï ' Y×Ñ ÄK ~,o H& ¨ 99.0% « ak³, Q 0 ½ ~¯2, FlowR ½É ~ßj(Sysmex FPIA-2100)õ. ÄGñ +_G. ê, Mg, Ta, Zr, Ti J è ½ o,. Photo 1. SEM of Dust samples (Ta, Zr, Mg, Al)..
(20) MJ ~,(s M²G @ õU ê .× UÍ. ÎÎ 51.5, 30.8, 26.5, 75.0 µmÍ »´. K, ~,ê õ s WGGD .g, PMMA(J è ½ 99.0 µm) dM ² Æ G. Q0 ~ ½ ó«Ñ ¬K s é¾ D .g, 3ÜÍ Mg(< 51 µm, <75 µm, <150 µm)Q 2ÜÍ Ti(<75 µm, <150 µm)õ ÄG. Photo 1o á õgÑ Äê Ta, Zr, Mg, Al ~, MÉ ,(SEM) ³, U¾ Ta2 Þ ÛK ê § às Í(Ê À´ «6K ½É =Í õ ê MDJ U Ñ s ?-¶ @Îæ, í OÑ ²GæD Ò U8« À´ Y×Q íÑ Kõ G. 2-3. /#tà Y×o Î Q0 L
(21) õ MÉIÖ .Ñ ¤ k³ 9sÊ, ~õ Q0L
(22) «Ñ b´ è³Gj MJQ. «), Q 0 åjõ Y×K Æ Gñ J Ê(bulk density)Í ³_G ´ Gñ ³K ÆQ« æ´ GÊ, 22-23 C 5 Ú 55-60% 5Í æ2 ÆQÑ Y×s G. Fig. 1ÑQ ç «, ~õ MJQ Q0 L
(23) õ ùé(ceramic fiber board) . Ñ 9so =Ñ õÄD Ñ ¤ k³ jG. Y× o _(DÍ = àD OÑ õ ÄDõ íöK =Ñ Y QG. K, ~.D Æ Ñ ñ s Æ GD .g YQê Y×o, Ê = õ ÄD õ ,àk³ K {, ³_ N ~ .D Í)õ OË´ õÄD Ñ ½G2 örs ÄG. Ä D Ñ ½ê _ ~.D Í)2 15~Ñ Ök³ GäGñ, ~ .D Í) DÖDõ MdG. á, 2 ³)¾ M ÍùÑ g MJ ~Ñ ôdQ- õ ÄD zÑ jê ,C(30 f/s) (¥ W1è¶(Sony DCR-VX1000)³ dM² H5s îûGÊ, d
(24) § «Ñ ¬g2 Ê (¥ W1è¶(Kodak Imager-HG2000; 2000 f/s)õ «ÄGñ D´ G.. 49. o. 2. Photo 2. Example of flame spread over Zr and Ti dust layer; (expo sure time=1/1000 sec).. 3.. /ûG Z +{. GO9 Z ;×K ~ do è « ãg d R¥« κGD )é Ñ dM² H5o Ý 1õ ÄGñ îûGk, QÑÑ ñ d «M- ¶o d gÑ g _G. Photo 2 3-1.. Photo 3. Determination of flame front by threshold level. Korean Chem. Eng. Res., Vol. 43, No. 1, February, 2005.
(25) 50. KÎ. ÑQ ç«, d zo õ¬³ @Îæ´(2 ãK è « ÷÷, ã2 dM² Ñz Ó´0¤´ ÝG Ê À2), ³ ÆQ GÑ Q0K d è ãÍ ¶ d
(26) _o +_ÉK õ ¤Í À. )[ d Ñ À´ d o ãÍ d Q¬J¯ à« 4n³, «õ .g Photo 3Ñ ÷ aê ç« ¬J¯ àk³ íGñ o ã DÖD ³_jõ ª³ G2 òj(threshold level)(_rs «Ä K d gs Gñ ³äJ¯ d «
(27) s _G. , d 6 d s ê k³ g~Q 2jd d k³ ¡hGñ d
(28) _s ³ädG. òj(threshold value)Ñ K 2jd ö ro d Î pixel éDÍ ³_j « Îõ , «Gõ k³ tG2 ör«. «), òj2 d éD(luminance) ¾ )Tæs ʳ Gñ _K(Photo 3). òjÑ K 2jd ö ro d OÑÆõ ,O ¤ Ç2 U8« À(O, á õgÑ Q ç« d
(29) _Ñ2 d OÑÆ _ÝÍ 1® ÇD )é Ñ éfÍ æ(2 :2. Fig. 3o, Q0 &ÿ 3 mmÑ À´ QÑ êÑ ñ d «k³ î ) b( d .jõ Æ K «. d
(30) Ú 2 dM² ö z³z îûK ê³ _G. õ
(31) «o z~Jk³ Íê Ý« îûæ(O, MJk³ Ý
(32) M ³_K ³ «G2 as < ¤ À. d M² ¿D2 Ti, Mg, Ta, Zr ¨k³ ÷
(33) 2), MJ ~@ dM² ó«2 dí@s K à , èù Ú ù « Ñ ¿j ÊK2 õgêÍ ÝÊæÊ À[7]. âÑ MJê Mg, Ta, Zr ~,@ d k³z Mök³ dM²2 kÎ äkGÊ èJk³ ³´÷
(34) ,}æ³ d
(35) « ³_G( :I. «ao d
(36) ö õ½É ³zÍ d« ö Mök³ äkGj ÿ4 « GD )éÑ ³´÷2 k³ ¯g è@ê. Mg2 éo d (luminous flame)s D OÑ G
(37) õG2), õ á2 dKk³ _æ2 + äí« @ ê. «Ñ äg, Ti Î2 D O do îûæ( :Ik ~ ,
(38) s õ ¬Í M²G2 ak³ _æÉ. PMMA(polymethyl methacrylate) è dM²(0.12 mm/s)õ ÊsG
(39) ~ õ « kÎ o as < ¤ Àk, OÑ Ti è dM². 2 7.1 mm/s³ á õg Y׬ ~ OÑ Íß I(Fig. 3). 3-2. ?L Ïÿ£ ;×| dM² á dí@ &ÿ Ú è dM²õ Table 1 Ñ ÷,2), dM²Í Íß Ã Ti dí@ &ÿ2 0.4 mm ³ Íß Êk ¬z~o 1 mm ««. dM²Í Ǥ´ dí@ &ÿ2 Êo s Ý«Ê À2), MJ @o ,
(40) k³z 1 mm « _« z~O« Íùæ´ dM²Í «P´ ,2 as < ¤ ÀÉ. MJ@ &ÿ ¡dÑ ñ dM² õ Æ K ê, ~ Q0 MJ &ÿÑ K dM² ¡d2 kÎ ÊIk «6K Y³z Q0 &ÿÑ K o JÊ ¶ê. ~ dM² á Q0
(41) s Æ g Ý
(42) , õÑ K dí@ê Ê5 s ç4 ù dê z~« À2), «2 Q0 ,
(43) k³z z³ ä« ,} ê as ÂK. õÍ D =Ñ äG2Í, Ê,
(44) Ñ äG2Í2 dí WÙYê ò WÙY ó« Ñ g _ê[8]. dí WÙY« ò WÙYÝ o Al, Mg, Zn Ùo D =Ñ õG, Ti, Ta, Fe, C, Boron Ùo Ê,
(45) Ñ ,
(46) õK. Ta àD OÑ ùd5 M¬ ªj2 2,987.0 C³[9], aYo 3,030 C, WY 5,300 C k³ kÎ 4 ,
(47) õÑ g õ¬Í M²KÊ @Îê. Table 22 MJ @ &ÿ ¡dÑ ñ M-õ Æ K a k³, &ÿ ÍÑ ¶ M-2 ((O, &ÿ 5 mm « Ñ2 M- ¡dÍ M Ý«( :2. U¾, Ti d M²Í Q0 &ÿÑ ÊG( :2 ao, dí@« 0.4 mm ³ ~ ,
(48) sO« Íùæ´ õG
(49) M²GD )ék ³ ¶ê. WG Y×s .g +_K PMMA ~ M2 7-8 mm³ MJ ~Ñ Wg kÎ Ã as < ¤ ÀÉ. K, MJ KDí ~, smoldering õÑ K dM²2 0.01-0.1 mm/s³ <s Àk[1-3], «Ñ WK
(50) ~@ dM² 2 kÎ ¿Ê O ¤ À. ~ M-2 0.4-1.7 mm³, 2.65 m/s dM²³ °èFt« Ã H M-Í àD O STP(standard temperature and pressure) =Ñ 0.6 mm ¯ as ÊsO ), ~ õ .× « kÎ Ã as < ¤ À. o. o. o. 2. Table 1. Thickness of oxide and spread rate after fire spread over dust layer Dust sample (Mean diam7). Thickness of oxide [mm]. Spread rate [mm/s]. Ti(<75.0 µm) Ta(30.8 µm) Mg(51.5 µm) Zr(26.5 µm). 0.4 0.8 0.9 1.0. 7.1 2.5 5.1 1.7. Table 2. Quenching distance of metal dust layer in air. Fig. 3. Location of flame front of dust layer with time.. ¤@¤ C43× C1 2005 2. Thickness of dust layer [mm] 1.0 3.0 5.0 7.0. Mg [mm] 0.9 1.0 1.1 1.2. Ti [mm] 0.4 0.4 0.5 0.5. Zr mm 0.9 0.8 1.0 1.0. Ta mm 1.4 1.6 1.7 1.6. PMMA [mm] No spread 7.0 8.0 8.0.
(51) MJ ~,(s M²G @ õU ê .× UÍ. Fig. 4. Difference of flame spread rate over dust layer by sample holder.. 51. Fig. 6. Relation of spread rate and quenching distance in dust layer.. dM²2 M- ò¤Ñ WG2 Y« Ñ <s À. «Ñ äg, Íõ ~ Ú MJ Î2 )« k Î Jk +_ör, ÆQ« ¶ _
(52) Jk³ WGGD κG. á õgÑ2 MJ ~Ñ dM²Q M- Q +_s QG. MJ ~ M-Í dHÆW Dªßj ÑÑ MJ ~ dM² Dtê _o îªÍ À 2 as @ÎK
(53) , 8M Ú .× Í (,³ O®K ÂÍ ÀÊ O ¤ À. Fig. 6o àD O, ¬DF MJ ~(&ÿ 3 mm)Ñ À´ dM²(SR)Q M-(QD) îªõ Æ. K «. î _Í Êo Mg, Zrõ ¯WG
(54) ¶ MJ¯ îo kÎ j ÷÷Ê À. K, ½ ñ Mg, Ti ê õ ¯WG
(55) ¶ SRê QD îîª2 0.9 « k³ j ¯_ æÉ. «6K ê³z, á õgÑ Æ K MJ ~Ñ À´ dM²Í ÍG
(56) M-Í Ê4,Ê O ¤ À k-¶ @Îæ, SRê QD ¬J¯ .× +« ÍDG Ê ¶ê. 3-4. ÏO{ »| Óÿg£ GO9§ df³ l Í)¯ N Í ÆßÑ Q« ÄæÊ À k÷, Mg ~,« õG2 Î 0d ä (õf³ ÊÄO ÍD « À. «6K Y )éÑ N ~.D OÑ õ U Ñ ¬K Dð (Rs »D .Gñ N -O Æ Ñ N ¡dÑ ñ dM²Kªõ Æ G. Fig. 7ÑQ ç«, ~.D ³ N. õ ÍQÿ
(57) d¬ «s ?IG
(58) , M ³_G j M²G2 àD OÑQ2 -, d
(59) «o 8_G äkJk³ «GÊ Àk, dM²2 N ÍQ Wÿ ÝG2 as < ¤ À. Fig. 8ê ç«, O ÝQ Wÿ b( QÑo L´(2), d «« ¯_æ2 2 3.6-3.7 vol% O ³º« Í Kª dM² ¶Ê ¶ê. õÍ K(æ2 M Ñ À´ dM² 2 1.20 mm/s³, àD O 5.06 mm/sÑ WGñ kÎ Ê. N ÍQ Wÿ, dM²KªÑ M-2 ÍG, à D O ÎÑ WGñ u 8 ¯ as <I. −1. Fig. 5. Variation of quenching distance with thickness of dust layer.. Fig. 42 Q0 L
(60) ùM ó«Ñ K dM²Ñ s <4ÝD .K ak³, CFB(ceramic fiber board)Q ùMÍ ¬Jk³ à z(brass)f &ÿ 3 mm Q0 L
(61) Ñ dM ²õ WGK a«. Ti, Mg dM²2 Brass fÝ CFBfÑ ¿j ÷
(62) 2), «2 Q0 L
(63) ù Y óÑ K k³ @Îê. 6÷ dM² ÍWSs Ý
(64) , TiÝ MgÍ
(65) ¿. «ao ,
(66) õG2 TiÑ Wg, D õG2 Mg Ñ À´ Ê ùMÍ s ( G2 «
(67) ¿D )ék³ _ê. ½É ½ Ú MJ@ &ÿÍ M-Ñ Âj 2 Ñ ¬Gñ Æ K a« Fig. 5«. ½ « Ǥ´ MÍ ÍG2 s Ý«Ê, ~@ &ÿÑ ¬K Ê o ¿( : . K, dM² Í uñ TiÍ MgÑ WGñ ½ ¡dÑ ¬K « Êo ak³ ÷
(68) . 3-3. GO9Ø ×G»÷£ K Íõ í0 õ.× ÍÑ À´, ôd á õ(,³ 2 d M²Q M-Í À. Íõ Í) Î, d M² Ú M-Ñ ¬K )«2 kÎ Qk, ê³z. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. Korean Chem. Eng. Res., Vol. 43, No. 1, February, 2005.
(69) KÎ. 52. MJ ~@ dM²(1.73-7.1 mm/s)2 PMMA ~@ dM² (0.06-0.08 mm/s)Ñ WGñ kÎ ¿(O, Q 0 ÜÍ Ú &ÿÑ îªÇ« d o M ³_K ³ « K(Fig. 3, 4). K, _ê MJ ~@ M-2 0.4-1.7 mm³, PMMA Ê~É ~@ 7-8 mmÑ Wg kÎ Êo ak³ é. « & Y³z ~@ õ .× o PMMAÝ kÎ ¿Ê, Ti Ý2 MgÍ
(70) 8MK ak³ _ê. (2) MJ@ 2 mm « Ñ dM² á dí@ &ÿ2 u 1 mm «³ ,
(71) @Ñ ÍbÒ òÑO õG, àD O _ (DÍ =Ñ À´ ~ dM²2 ~@ & ÿ(_«)Ñ ¬K Ê « kÎ ÊI. (3) Mg Î, 0 jh ~.D O Kª 2 3.6-3.7 vol%³, M-2 àD OÑ Wg u 8 «. (4) àD O, MJ ~@ dM²Q M- ò¤2, PMMA ÎQ ç«, o îîªõ Ý. ¶, «Ë õ (,Ñ À´ ¬J¯ .× +« ÍDGÊ @Îê. (1). Fig. 7. Location of flame front over dust layer with increasing of N2 concentration.. +S. Fig. 8. Quenching distance of Mg with decreasing of O2 concentration in N2 diluted air.. 4.. û «. á õgÑ2 MÉàÆ èMk³ Ä
(72) « ÍG2 MÉf\ ß f\ fÆ OÑò0Í æ2 § ~ èd .× Ñ ¬K Dðõgõ ¤}GD .Gñ, ~ d õ U s àDQ 0 ~.DÑ Æ G. d õU ²5 ê .× ÍÑ 1¤J¯ dM²Q M-õ É í èK Y×ßjõ «ÄGñ ÑsGÊ ÁêJk³ +_ ÍDG´ G. ê {ê ço ·s »É.. ¤@¤ C43× C1 2005 2. 1. Ohlemiller, T. J., “Smoldering Combustion Propagation Through a Permeable Horizontal Fuellayer,” Combust. Flame, 81, 341-353(1990). 2. Bakhman, N. N., “Smoldering Wave Propagation Mechanism; Critical Condition,” Combust., Explosion and Shock Waves, 29, 14-17(1993). 3. Bakhman, N. N., “Smoldering Wave Propagation Mechanism; Smoldering Velocity and Temperaturein Smoldering Zone,” Combust., Explosion and Shock Waves, 29, 18-24(1993). 4. El-Sayed, S. A. and Abel-latif, A. M., “Smoldering Combustion of Dust Layer on Hot Surface,” J. Loss Prev. in Process Indust., 13, 509-517(2000). 5. Eckhoff, R. K., “Dust Explosion in the Process Industries; 2nd ed.,” BH(1997). 6. Siwek, R. and Pellmont, G, Safety Technical Indices: Methods of Determination and Factors Influencing Hazard Evaluation in Dust Handling Equipment. Proc. of Euromech Colloquium 208, Explosion in Industry, Germany(1986). 7. Chernenko, E. V., Combust., Explos and Shock Waves, 30(5), 617-620(1994). 8. Glassman, I., “Combustion - 3rd Edition,” Academic Press, San Diego(1996). 9. Reynolds, W. C., STANJAN - Chemical Equilibrium Code, Stanford University(1987)..
(73)
관련 문서
웹 표준을 지원하는 플랫폼에서 큰 수정없이 실행 가능함 패키징을 통해 다양한 기기를 위한 앱을 작성할 수 있음 네이티브 앱과
_____ culture appears to be attractive (도시의) to the
• Guard time is chosen larger than the expected delay spread such that Guard time is chosen larger than the expected delay spread, such that. multipath components from one
When Pr is small, it means that heat diffuses very quickly compared to the velocity (momentum). This means the thickness of the thermal boundary layer is much bigger than
Average of the indexed values of the following data: (1) Total value of the indexed score for disability-adjusted life years (the number of years lost due to illness,
Suppose that the average annual safe rate is 2% lower than the growth rate, so that ER f , the gross rate of return over a unit period—say 25 years—is 0.98 25 = 0.6, then
A frame size error in a frame that could alter the state of the entire connection MUST be treated as a connection error (Section 5.4.1); this includes any frame carrying a
1 John Owen, Justification by Faith Alone, in The Works of John Owen, ed. John Bolt, trans. Scott Clark, "Do This and Live: Christ's Active Obedience as the