ﻞﻣﺎﻛ ﻲﺸﻫوﮋﭘ ﻪﻟﺎﻘﻣ رد ﺦﻳرﺎﺗ ﻳ ﺖﻓﺎ 7 / 3 / 92
ﺬﭘ ﺦﻳرﺎﺗ ﻳ شﺮ 27 / 5 / 92
ﻪﺋارا رد ﺎﺳ ﻳ ﺖ 30 / 10 / 92
ﺪﻳﺮﮔ ﺎﺑ ﻲﻌﻴﺒﻃ زﺎﮔ لﺎﻘ
ﺖﺳا هﺪﺷ ﻪﻌﻟﺎﻄﻣ .
ياﺮﺑ ﻲﻳﺎﻣد هدوﺪﺤﻣ ،ﺶﻳﺎﻣزآ
ﺪﻳدﺮﮔ بﺎ . ﻲﻨﺤﻨﻣ زا ﺶﻨﺗ يﺎﻫ -
ﻲﺘﺨﺳرﺎﻛ خﺮﻧ
ﺗ دﻻﻮﻓ ﻦﻳا مﺮﮔ ر ﺪﺷ ﺢﻳﺮﺸ
. ﻞﻴﻠﺤﺗ زا هدﺎﻔﺘﺳا ﺎﺑ
ﺮﺑاﺮﺑ ﺰﻴﻧ دﻻﻮﻓ ﻦﻳا ﻞﻜﺷ ﺮﻴﻴﻐﺗ ي kJ/mol
382
ﻲﺑﺮﺠﺗ ﻂﺑاور زا رﻮﻠﺒﺗ ﻚﻴﺘﻨﻴﺳ ًﺎﺘﻳﺎﻬﻧ و ﻲﺳرﺮﺑ
ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻚ
.
Investigation of transportation pipel
M. Nakhaei
1, S.H. Hashemi
2*1- PhD Student, Mech. Eng., Birjand Univ., Birja 2- Prof., Mech. Eng., Birjand Univ., Birjand, Iran
* P.O.B. 97175/615 Birjand, Iran. shhashemi@bi
Abstract-In this research, the hot def A temperature range between 950 and 1
1. The work hardening rate versus stres application of constitutive equations to regression analysis, the stress multiplie were calculated as 0.016 and 4.420, parameter (Z) on the characteristic poi recrystallization (DRX) kinetics of API Keywords: Hot Deformation, Dynami Recrystallization Kinetics.
ﻲﻣ ﻻﺎﺑ ﺎﻫدﻻ ﺶﻫﺎﻛ رﻮﻈﻨﻣ ﻪﺑ ﻲﻓﺮﻃ زا ؛ﺪﺷﺎﺑ
ﻪﻟﻮﻟ ﻦﻳا ﺮﻄﻗ ،لﺎ لﺎﺳ رد ﺎﻫ
ﺶﻳاﺰﻓا ﺮﻴﺧا يﺎﻫ
ﺖﺳا ﻪﺘﻓﺎﻳ ﺶﻫ ]
1 - 2 [.
دﻻﻮﻓ نﺎﻴﻣ ﻦﻳا رد
ŚƚƚƉ͗ͬͬŵŵĞ͘ŵŽĚĂƌĞƐ͘ĂĐ͘ŝƌ
ﻲﺸﻫوﮋﭘ ﻲﻤﻠﻋ ﻪﻠﺠﻣ
قﻮﻓ هدﺎﻌﻟا ﺪﻨﻔﺳا 1392
، هرود 13 هرﺎﻤﺷ 14 ص ص 150 - 159
ﻘﺘﻧا ﻪﻟﻮﻟ دﻻﻮﻓ رد ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠ
ﻲﻤﺷﺎﻫ ﺖﺠ
2
*
ﺪﻨﺟﺮﻴﺑ ،ﺪﻨﺟﺮﻴﺑ هﺎﮕﺸﻧاد ﺪﻨﺟﺮﻴﺑ ،ﺪﻨﺟ [email protected]
دﻻﻮﻓ مﺮﮔ ﻞﻜﺷ ﺮﻴﻴﻐﺗ ر
API X70ﻣ مﺮﮔ رﺎﺸﻓ نﻮﻣزآ ﻪﻠﻴﺳو ﻪﺑ
ﺶﻧﺮﻛ خﺮﻧ لﺎﻤﻋا ﺎﺑ داﺮﮔ توﺎﻔﺘﻣ يﺎﻫ
01 / 0
، 1 / 0 و 1 ﺎﺨﺘﻧا ﻪﻴﻧﺎﺛ ﺮﺑ
ﺎﻛ ﺖﺑاﻮﺛ ﻦﻴﻴﻌﺗ ياﺮﺑ ﻪﺼﺨﺸﻣ ﻂﺑاور دﺮﺑرﺎﻛ و هدﺎﻔﺘﺳا ﻲﻜﻴﻣﺎﻨﻳد د ﺶﻨﺗ ن )
n( ﺐﻴﺗﺮﺗ ﻪﺑ 016 / 0 و 420 / 4 لﺎﻌﻓ يژﺮﻧا و ﻪﺒﺳﺎﺤﻣ يزﺎﺳ
ﺮﻧز
-ﻦﻤﻟﻮﻫ )
Z( ﻲﻨﺤﻨﻣ هﮋﻳو طﺎﻘﻧ يور هدﺎﻔﺘﺳا ﺎﺑ نﻼﻴﺳ يﺎﻫ
ﺪﻳدﺮﮔ جاﺮﺨﺘﺳا رﺎﺘﻓر ﻦﻳا ﺮﺑ ﻢﻛﺎﺣ ﻪﻄﺑار و ﻪ .
ﻪﻟﻮﻟ ﻂﺧ دﻻﻮﻓ ،مﺮﮔ رﺎﺸﻓ نﻮﻣزآ ،ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮ API X70
ﻚﻴﺘﻨﻴﺳ ،
dynamic recrystallizatio line steel of grade API X70
and, Iran irjand.ac.ir
formation behavior of API X70 steel was investigated 1150 °C was used for experiments with different strain ss curves were used to reveal if dynamic recrystalliza o determine the hot working constants for the tested s er (α), the apparent stress exponent (n), and the activa and 382 kJ/mol, respectively. Furthermore, the e nts of flow curves was investigated using the obtain X70 steel was also studied and its governing equation ic Recrystallization, Hot Compression Test, API X7
ﻞﺻاﻮﻓ رد ﻲﻌﻴﺒﻃ زﺎﮔ لﺎﻘﺘﻧا رﻮﻈ ﻲﻣ هد ﺪﻧﻮﺷ . و ﻢﻴﻠﺴﺗ مﺎﻜﺤﺘﺳا ﻻﻮﻓ ﻦﻳا رد ﻲﮕﻣﺮﻘﭼ
ﻪﻨﻳﺰﻫ ﺎﻘﺘﻧا ﻂﺧ يﺎﻫ ﻫﺎﻛ ﺎﻬﻧآ ﺖﻣﺎﺨﺿ و
ﺠﻣ رﻮﻠﺒﺗ ﻲﺳرﺮﺑ API X70
ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ
،
1ﺠﺣﺪﻴﺳ
1 - ياﺮﺘﻛد يﻮﺠﺸﻧاد
،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ
2 - دﺎﺘﺳا
،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺟﺮﻴﺑ هﺎﮕﺸﻧاد
* ﻲﺘﺴﭘ قوﺪﻨﺻ ،ﺪﻨﺟﺮﻴﺑ 615
/ 97175
،
هﺪﻴﻜﭼ
ﺎﺘﻓر ﺮﺿﺎﺣ ﻖﻴﻘﺤﺗ رد-
ﻦﻴﺑ 950 ﺎﺗ 1150 ﻲﺘﻧﺎﺳ ﻪﺟرد ﮔ
دﺪﺠﻣ رﻮﻠﺒﺗ عﻮﻗو نداد نﺎﺸﻧ ياﺮﺑ ﺶﻨﺗ ﺐﻳﺮﺿ ،نﻮﻴﺳﺮﮔر )
α ( ناﻮﺗ و
ﺪﺷ ﻦﻴﻴﻌﺗ .
ﺮﺘﻣارﺎﭘ ﺮﺛا ﻦﻴﻨﭽﻤﻫ
ﻪﻌﻟﺎﻄﻣ دﻻﻮﻓ ﻦﻳا ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ ﺪﻴﻠﻛ نﺎﮔژاو : ﻮﻠﺒﺗ ،مﺮﮔ ﻞﻜﺷ ﺮﻴﻴﻐﺗ
on in gas 0
d by hot compression tests.
n rates of 0.01, 0.1 and 1 s- ation (DRX) occurred. The steel was discussed. Using ation energy (Qd) for DRX effect of Zener–Hollomon ned relations. The dynamic n was derived.
0 Pipeline Steel, Dynamic
1 - ﻪﻣﺪﻘﻣ
ﻈﻨﻣ ﻪﺑ ﻪﻟﻮﻟ طﻮﻄﺧ يﺎﻫدﻻﻮﻓ
دﺎﻔﺘﺳا ﻻﺎﺑ رﺎﺸﻓ ﺎﺑ و ﻲﻧﻻﻮﻃ
لﺎﻘﺘﻧا ﻪﻟﻮﻟ دﻻﻮﻓ رد ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﺳرﺮﺑ . . .
ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ رﺎﻜﻤﻫ و
سرﺪﻣ ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ قﻮﻓ
هدﺎﻌﻟا ﺪﻨﻔﺳا 1392
، ةرود 13 ةرﺎﻤﺷ
151
14ﺪﻳﺮﮔ ﺎﺑ ﻪﻟﻮﻟ ﻂﺧ
API X70يﺎﻫدﻻﻮﻓ ﻦﻳﺮﺗدﺮﺑرﺎﻛﺮﭘ زا ﻲﻜﻳ
ﻲﻣ ﻪﻟﻮﻟ ﻂﺧ ﺪﺷﺎﺑ
. دﻮﺒﻬﺑ رﻮﻈﻨﻣ ﻪﺑ ًﺎﻣﻮﻤﻋ دﻻﻮﻓ ﻦﻳا يور ﻖﻴﻘﺤﺗ
ﻪﻨﻴﻬﺑ ﻪﻠﻴﺳو ﻪﺑ ﻲﻜﻴﻧﺎﻜﻣ تﺎﻴﺻﻮﺼﺧ ندﺮﻛ
ﺪﻨﻳاﺮﻓ لﺎﻜﻴﻧﺎﻜﻣﻮﻣﺮﺗ
ﺖﺳا هﺪﺷ ﺰﻛﺮﻤﺘﻣ ﻲﻳﺎﻴﻤﻴﺷ ﺐﻴﻛﺮﺗ ﺎﻳ و .
ﻲﻟﺎﺣ رد ﻦﻳاﺮﺑﺎﻨﺑ رد ﻪﻛ
هﺪﻳﺪﭘ تﻻﺎﻘﻣ زا ﻲﻀﻌﺑ زا ﻞﺻﺎﺣ يرﺎﺘﺧﺎﺳﺰﻳر يﺎﻫ
ﺪﻨﻳاﺮﻓ يﺎﻫ
ﺖﺳا هﺪﺷ ﻲﺳرﺮﺑ لﺎﻜﻴﻧﺎﻜﻣﻮﻣﺮﺗ ]
3 - 5 [ يﺮﮕﻳد تﺎﻌﻟﺎﻄﻣ رد ،
ﺖﺳا ﻪﺘﻓﺮﮔ راﺮﻗ ﻪﺟﻮﺗ درﻮﻣ دﻻﻮﻓ ﻦﻳا ﻲﻳﺎﻴﻤﻴﺷ ﺐﻴﻛﺮﺗ دﻮﺒﻬﺑ ] 6،
7 [.
رد ﻦﻳا و رﺎﺘﺧﺎﺳﺰﻳر لﺮﺘﻨﻛ رﻮﻈﻨﻣ ﻪﺑ ﻪﻛ ﺖﺳا ﻲﻟﺎﺣ
ﻪﻌﻟﺎﻄﻣ ،مﺮﮔ درﻮﻧ ﻦﻴﺣ رﻮﻛﺬﻣ يﺎﻫدﻻﻮﻓ ﻲﻜﻴﻧﺎﻜﻣ تﺎﻴﺻﻮﺼﺧ رادرﻮﺧﺮﺑ يرﺎﻴﺴﺑ ﺖﻴﻤﻫا زا ﺰﻴﻧ ﺎﻫدﻻﻮﻓ ﻦﻳا مﺮﮔ رﺎﻛ رﺎﺘﻓر ﻲﻣ ﺪﺷﺎﺑ . ﺪﻧراد ﻲﻨﻴﻳﺎﭘ نﺪﺷ هﺪﻴﭼ رد ﺺﻘﻧ يژﺮﻧا ﻪﻛ ﻲﻳﺎﻫژﺎﻴﻟآ رد
) دﻻﻮﻓ رد ﺖﻴﻨﺘﺳآ زﺎﻓ ﺪﻨﻧﺎﻣ (
ﻲﻳﺎﺠﺑﺎﻧ ﺶﻫﺎﻛ خﺮﻧ ، ﺎﻫ
ﻂﺳﻮﺗ
ﻲﺑﺎﻳزﺎﺑ هﺪﻳﺪﭘ ﻲﺸﻧﺮﻛ يرﺎﻜﺘﺨﺳ خﺮﻧ ﺎﺑ ﻪﺴﻳﺎﻘﻣ رد
1ﻲﻓﺎﻛ ،
2ﻲﻳﺎﺠﺑﺎﻧ ﻲﻟﺎﮕﭼ ﻦﻳاﺮﺑﺎﻨﺑ ،ﺖﺴﻴﻧ ﺶﻳاﺰﻓا ﻪﺘﺳﻮﻴﭘ ترﻮﺻ ﻪﺑ ﺎﻫ
ﻲﻣ ﺪﺑﺎﻳ . ﺺﺨﺸﻣ راﺪﻘﻣ ﻚﻳ ﻪﺑ هدﺎﻣ ﻲﻠﺧاد يژﺮﻧا ﻪﻛ ﻲﻣﺎﮕﻨﻫ
ﻲﻣ ﻪﻧاد ،ﺪﺳر ﺶﻧﺮﻛ نوﺪﺑ يﺎﻫ
دﺪﺠﻣ رﻮﻠﺒﺗ هﺪﻳﺪﭘ ﻪﻠﻴﺳو ﻪﺑ
3،
4ﻪﻧاد ﻦﻳﺰﮕﻳﺎﺟ ﺞﻳرﺪﺗ ﻪﺑ ﺮﻴﻴﻐﺗ يﺎﻫ
ﻲﻣ ﻪﺘﻓﺎﻳ ﻞﻜﺷ ﺪﻧﻮﺷ
. ﻦﻳا ﻪﺑ
ﻲﻣ يور ﻞﻜﺷ ﺮﻴﻴﻐﺗ ﺎﺑ نﺎﻣﺰﻤﻫ ﻪﻛ دﺪﺠﻣ رﻮﻠﺒﺗ زا عﻮﻧ
،ﺪﻫد
ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﻣ ﻪﺘﻔﮔ
5دﻮﺷ ] 8 [.
دﺪﺠﻣ رﻮﻠﺒﺗ
نﺪﺷ مﺮﻧ يﺎﻫرﺎﻛ و زﺎﺳ ﻦﻳﺮﺘﻤﻬﻣ زا ﻲﻜﻳ ناﻮﻨﻋ ﻪﺑ ﻲﻜﻴﻣﺎﻨﻳد تﺎﻴﺻﻮﺼﺧ و رﺎﺘﺧﺎﺳﺰﻳر لﺮﺘﻨﻛ ياﺮﺑ ﻲﻤﻬﻣ هﺪﻳﺪﭘ ،ﻢﺴﺟ ﻲﻣ مﺮﮔ رﺎﻛ ﻦﻴﺣ رد ﻲﻜﻴﻧﺎﻜﻣ ﺑ
ﺪﺷﺎ . هﺪﻳﺪﭘ ﻦﻳا ﺮﻴﺛﺄﺗ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ
ﺶﻨﺗ يور طﺎﻘﻧ ندروآ ﺖﺳد ﻪﺑ ،ﻻﺎﺑ يﺎﻫﺎﻣد رد نﻼﻴﺳ يﺎﻫ
ﻪﺼﺨﺸﻣ ﻲﻧاﺮﺤﺑ ﺶﻨﺗ ﻪﻠﻤﺟ زا هدﺎﻣ نﻼﻴﺳ ﻲﻨﺤﻨﻣ يور
6)
7σc
(
لﺪﻣ ﺖﻬﺟ دﻻﻮﻓ مﺮﮔ ﻲﻧﻼﻴﺳ رﺎﺘﻓر ﻦﻴﻴﻌﺗ ﺖﻳﺎﻬﻧ رد و يزﺎﺳ
ﺪﻨﻳاﺮﻓ ﺖﺳا رادرﻮﺧﺮﺑ يرﺎﻴﺴﺑ ﺖﻴﻤﻫا زا ﻲﺘﻌﻨﺻ يﺎﻫ ]
9 [.
ﻞﻜﺷ ﺮﻴﻴﻐﺗ ﻦﻴﺣ رد ﻲﻤﻛ ﻲﻧاﺮﺤﺑ ﺶﻨﺗ ًﺎﻣﻮﻤﻋ ،ﻲﺘﻴﻨﺘﺳآ
ﺮﺜﻛاﺪﺣ ﺶﻨﺗ زا ﺮﺘﻤﻛ )
8σp
( ﻲﻣ ﺪﺷﺎﺑ . رﻮﻠﺒﺗ عوﺮﺷ ﺎﺑ ﻲﺗرﺎﺒﻋ ﻪﺑ
ﺎﺗ ﺶﻨﺗ ،ﻲﺘﺨﺳ رﺎﻛ راﺪﻘﻣ ندﻮﺑ ﺮﺗﻻﺎﺑ ﻞﻴﻟد ﻪﺑ ،ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ ﻲﻣ ﺶﻳاﺰﻓا ﺮﺜﻛاﺪﺣ ﻪﻄﻘﻧ ﻪﺑ نﺪﻴﺳر ﺪﺑﺎﻳ
.
1. Recovery Mechanism 2. Strain Hardening Rate 3. Strain-Free Grains
4. Recrystallization Mechanism 5. Dynamic Recrystallization (DRX) 6 . Characteristic Points
7. Critical Stress 8. Peak Stress
ﻦﻴﺑ ًﻻﻮﻤﻌﻣ ﻲﻧاﺮﺤﺑ ﺶﻧﺮﻛ هدوﺪﺤﻣ 65
/ 0 ﺎﺗ 8 / 0 ﺶﻧﺮﻛ
ﺮﺜﻛاﺪﺣ ) ε
p( ﻲﻣ ﻢﻴﻘﺘﺴﻣ تاﺪﻫﺎﺸﻣ ﻪﻠﻴﺳو ﻪﺑ ﻪﺘﺒﻟا ﻪﻛ ،ﺪﺷﺎﺑ
ﺖﺳا ﺺﻴﺨﺸﺗ ﻞﺑﺎﻗ ﺰﻴﻧ يرﺎﺘﺧﺎﺳﺰﻳر ]
10
، 11 [.
ﺶﻳاﺰﻓا ﺎﺑ
زا ﺪﻌﺑ ﺶﻧﺮﻛ ε
pدﺪﺠﻣ رﻮﻠﺒﺗ راﺪﻘﻣ ﺶﻳاﺰﻓا ﻞﻴﻟد ﻪﺑ ﺰﻴﻧ
ﺖﻟﺎﺣ ﺶﻨﺗ ﻪﺑ نﺪﻴﺳر ﺎﺗ ﺶﻨﺗ ،ﻲﺘﺨﺳ رﺎﻛ ﻞﺑﺎﻘﻣ رد ﻲﻜﻴﻣﺎﻨﻳد راﺪﻳﺎﭘ )
9σss
( ﺖﻓﺎﻳ ﺪﻫاﻮﺧ ﺶﻫﺎﻛ .
رﻮﻠﺒﺗ رﺎﺘﻓر ،هدﺎﻣ ﻚﻳ رد ﻪﺳ ﻪﺑ ﻪﺘﺴﺑاو ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ
ﻲﻣ ﺮﺘﻣارﺎﭘ ﺪﺷﺎﺑ
: ﺶﻧﺮﻛ خﺮﻧ و ﺎﻣد ،ﻪﻴﻟوا ﻪﻧاد هزاﺪﻧا .
ﻪﻧاد هزاﺪﻧا
رﻮﻠﺒﺗ ﻚﻴﺘﻨﻴﺳ و ﺮﺜﻛاﺪﺣ ﺶﻧﺮﻛ ،ﻲﻧاﺮﺤﺑ ﺶﻧﺮﻛ يور ﻪﻴﻟوا ﺖﺳا راﺬﮔﺮﻴﺛﺄﺗ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ ]
12 - 14 [.
ﻪﻴﻟوا ﻪﻧاد هزاﺪﻧا
ﻚﭼﻮﻛ ﺪﻫاﻮﺧ يﺮﺘﻤﻛ ﺮﺜﻛاﺪﺣ ﺶﻧﺮﻛ و ﻲﻧاﺮﺤﺑ ﺶﻧﺮﻛ ،ﺮﺗ
ﺿﻮﻣ ﻦﻳا ؛ﺖﺷاد ﻪﻧاد زﺮﻣ ﻲﺣاﻮﻧ ﻞﻴﻟد ﻪﺑ عﻮ
يا ﻪﻛ ﺖﺳا يﺮﺘﺸﻴﺑ
ﻊﻳﺮﺳ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻚﻴﺘﻨﻴﺳ ﺚﻋﺎﺑ ﻲﻣ يﺮﺗ
دﻮﺷ ] 15 [.
نﺎﻤﻫ ﺰﻴﻧ ﺶﻧﺮﻛ خﺮﻧ و ﺎﻣد هﺪﺷ ﻲﺳرﺮﺑ ﻖﻴﻘﺤﺗ ﻦﻳا رد ﻪﻛ ﻪﻧﻮﮔ
داﻮﻣ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ رﺎﺘﻓر ﺮﺑ ﻲﻬﺟﻮﺗ ﻞﺑﺎﻗ ﺮﻴﺛﺄﺗ ،ﺖﺳا ﺪﻧراد . دﺪﺠﻣ رﻮﻠﺒﺗ عﻮﻗو ﻲﻳﺎﻣد هدوﺪﺤﻣ رد ﻪﻜﻳرﻮﻃ ﻪﺑ ﺎﺑ ،
ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ،ﺶﻧﺮﻛ خﺮﻧ ﺶﻫﺎﻛ و ﺎﻣد ﺶﻳاﺰﻓا ﺖﺣار ﻲﻣ عﻮﻗو ﻪﺑ ﺮﺗ دﺪﻧﻮﻴﭘ
.
مﺎﺠﻧا ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ يزﺎﺴﻟﺪﻣ يور يدﺎﻳز تﺎﻘﻴﻘﺤﺗ ﺖﺳا هﺪﺷ ]
16 - 20 [.
،يزﺎﺴﻟﺪﻣ رد تﺎﻜﻧ ﻦﻳﺮﺘﻤﻬﻣ زا ﻲﻜﻳ
ﻲﻣ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ عوﺮﺷ ﻦﻴﻴﻌﺗ ﺪﺷﺎﺑ
. نﺎﺸﻧ تﺎﻘﻴﻘﺤﺗ
رﻮﻠﺒﺗ عﻮﻗو ﻪﻛ ﺖﺳا هداد ﻪﻄﻘﻧ ﻪﺑ ﻲﮕﺘﺴﺑ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ
دراد نﺎﻳﺮﺟ ﺶﻨﺗ ﻞﺑﺎﻘﻣ رد ﻲﺘﺨﺳرﺎﻛ خﺮﻧ ﻲﻨﺤﻨﻣ يور ﻒﻄﻋ ] 21
، 22 [.
سﺎﻧﻮﺟ و هداز ﻲﻔﺠﻧ ]
23 [ ار ﻲﻣﻮﺳ ﻪﺟرد ﻪﻟدﺎﻌﻣ
دﺎﻬﻨﺸﻴﭘ نﺎﻳﺮﺟ ﺶﻨﺗ و ﻲﺘﺨﺳرﺎﻛ خﺮﻧ ﻦﻴﺑ طﺎﺒﺗرا ﺢﻳﺮﺸﺗ ياﺮﺑ هدﺎﺳ ترﻮﺻ ﻪﺑ ار ﻒﻄﻋ ﻪﻄﻘﻧ ﻦﻴﻴﻌﺗ ﻪﻛ ﺪﻧدﺮﻛ ﻲﻤﻛ و ﺮﺗ
يﺮﺗ
ﻲﻣ ﻦﻜﻤﻣ ﺖﺧﺎﺳ
. شور لﺪﻣ ،ﺮﮕﻳد ﻲﻨﺤﻨﻣ يزﺎﺳ
ﺎﺑ نﺎﻳﺮﺟ يﺎﻫ
ﻪﺼﺨﺸﻣ ﻪﻄﺑار زا هدﺎﻔﺘﺳا ]
1024 [ ﺲﭙﺳ و مﺮﮔ رﺎﻛ ﻂﻳاﺮﺷ رد
ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ عوﺮﺷ ﻦﻴﻴﻌﺗ ياﺮﺑ ﻒﻄﻋ ﻪﻄﻘﻧ ﻪﺒﺳﺎﺤﻣ ﻲﻣ ﺪﺷﺎﺑ . هداز ﻲﻔﺠﻧ و هدازﺮﻴﻣ ]
25 [ ﻪﺴﻳﺎﻘﻣ شور ود ﻦﻳا زا يا
ﺪﻧداد مﺎﺠﻧا .
شﻼﺗ ،ﻦﻳا ﺮﺑ هوﻼﻋ عوﺮﺷ ندﺮﻛ لﺪﻣ ياﺮﺑ ﻲﻳﺎﻫ
ﻲﻜﻴﻣﺎﻨﻳد ﻲﺑﺎﻳزﺎﺑ لﺪﻣ زا هدﺎﻔﺘﺳا ﺎﺑ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ
11
] 26 [ ﻲﻜﻴﺗﺎﺘﺳا دﺪﺠﻣ رﻮﻠﺒﺗ ﻚﻴﺘﻨﻴﺳ ، ]
1227 [ ﻲﻟﺎﮕﭼ لﺪﻣ ،
9. Steady-State Stress 10. Constitutive Equation 11. Dynamic Recovery
12. Static Recrystallization (SRX)
لﺎﻘﺘﻧا ﻪﻟﻮﻟ دﻻﻮﻓ رد ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﺳرﺮﺑ . . .
ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ رﺎﻜﻤﻫ و
152
سرﺪﻣ ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ قﻮﻓ
هدﺎﻌﻟا ﺪﻨﻔﺳا 1392
، ةرود 13 ةرﺎﻤﺷ 14
ﻲﻳﺎﺠﺑﺎﻧ
1
ﺎﻫ ] 28 [ ﺖﺳا هﺪﺷ مﺎﺠﻧا ﺰﻴﻧ هﺮﻴﻏ و .
ﺮﮕﻳد فﺮﻃ زا
ﻤﻫ نﺎﻘﻘﺤﻣ ﻪﺟﻮﺗ دﺪﺠﻣ رﻮﻠﺒﺗ ﻚﻴﺘﻨﻴﺳ ﻪﺑ فﻮﻄﻌﻣ هراﻮ
ﺖﺳا هدﻮﺑ ﺰﻴﻧ ﻲﻜﻴﻣﺎﻨﻳد ]
28 - 30 [.
تﺎﺒﺳﺎﺤﻣ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ
دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﻤﺠﺣ ﺮﺴﻛ ،ﻞﻜﺷ ﺮﻴﻴﻐﺗ ﺮﺑاﺮﺑ رد ﺖﻣوﺎﻘﻣ ﻲﻣ ﻲﻬﺟﻮﺗ ﻞﺑﺎﻗ ﺖﻴﻤﻫا ياراد ﻲﻜﻴﻣﺎﻨﻳد ﺪﺷﺎﺑ
. ﺶﻧارﺎﻜﻤﻫ و ﻲﺟ
] 31 [ ﺶﻧﺮﻛ و ﺶﻨﺗ يﺎﻫرادﻮﻤﻧ ﻞﻴﻠﺤﺗ ﺮﺑ ﻲﻨﺘﺒﻣ شور ﻚﻳ
هزاﺪﻧا ياﺮﺑ ار ﻲﻘﻴﻘﺣ ﺮﻴﮔ
دﺎﻬﻨﺸﻴﭘ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ي
ﺪﻧدﺮﻛ . ﺪﻳﺮﮔ ﺎﺑ ﻪﻟﻮﻟ ﻂﺧ دﻻﻮﻓ مﺮﮔ ﻞﻜﺷ ﺮﻴﻴﻐﺗ رﺎﺘﻓر ﻪﻟﺎﻘﻣ ﻦﻳا رد
API X70
لﺪﻣ مﺮﮔ رﺎﺸﻓ نﻮﻣزآ ﻪﻠﻴﺳو ﻪﺑ
رد و هﺪﺷ يزﺎﺳ
ﻂﺑاور زا هدﺎﻔﺘﺳا ﺎﺑ نآ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻚﻴﺘﻨﻴﺳ ﻪﻣادا ﺖﺳا هﺪﺷ ﻲﺳرﺮﺑ ﻲﺑﺮﺠﺗ .
2 - ﻖﻴﻘﺤﺗ شور و داﻮﻣ
دﻻﻮﻓ ﻲﻳﺎﻴﻤﻴﺷ ﺐﻴﻛﺮﺗ رد ﻖﻴﻘﺤﺗ ﻦﻳا رد هﺪﺷ هدﺎﻔﺘﺳا
X70لوﺪﺟ 1 ﺖﺳا هﺪﺷ هداد نﺎﺸﻧ ]
32 [.
ﻪﻧﻮﻤﻧ ﻪﻧاﻮﺘﺳا يﺎﻫ يا
ياﺮﺑ
ﺮﻄﻗ ﺎﺑ مﺮﮔ رﺎﺸﻓ نﻮﻣزآ مﺎﺠﻧا 10
ﻲﻠﻴﻣ لﻮﻃ و ﺮﺘﻣ 15
ﻲﻠﻴﻣ
،ﺮﺘﻣ
ﻲﺟرﺎﺧ ﺮﻄﻗ ﺎﺑ ﻲﻠﺻا ﻪﻟﻮﻟ زا 1422
ﻲﻠﻴﻣ ﺖﻣﺎﺨﺿ و ﺮﺘﻣ 8
/ 19
ﻲﻠﻴﻣ ﻦﻴﺷﺎﻣ ﺮﺘﻣ يرﻮﻃ ﻪﺑ ،ﺪﻧﺪﺷ يرﺎﻛ
نآ ﻲﻟﻮﻃ رﻮﺤﻣ ﻪﻛ ﺎﻫ
ﻲﻣ ﻪﻟﻮﻟ درﻮﻧ ﺖﻬﺟ يزاﻮﻣ ﺪﺷﺎﺑ
. كﺎﻜﻄﺻا ﺮﺛا ﺶﻫﺎﻛ رﻮﻈﻨﻣ ﻪﺑ
ﻪﻧﻮﻤﻧ يﺎﻬﺘﻧا ود ﻦﻴﺑ ﻚﻓ حﻮﻄﺳ ﺎﺑ ﺎﻫ
ﺮﻴﻴﻐﺗ دﺎﺠﻳا و هﺎﮕﺘﺳد يﺎﻫ
ﺪﺷ هدﺎﻔﺘﺳا نﻮﻠﻔﺗ كزﺎﻧ قرو ﺪﻨﭼ زا ﻦﮕﻤﻫ ﻞﻜﺷ .
ﻲﻳﺎﻣد هدوﺪﺤﻣ رد رﺎﺸﻓ نﻮﻣزآ 950
ﺎﺗ 1150 ﻲﺘﻧﺎﺳ ﻪﺟرد داﺮﮔ
ﺶﻧﺮﻛ خﺮﻧ و يﺎﻫ
01 / 0
، 1 / 0 و 1 هﺎﮕﺘﺳد زا هدﺎﻔﺘﺳا ﺎﺑ ﻪﻴﻧﺎﺛ ﺮﺑ
مﺮﮔ رﺎﺸﻓ ﻚﻴﻳوز
/
2
لور ﺖﻗد ﺎﺑ ﻲﻜﻳﺮﺘﻜﻟا هرﻮﻛ ﻚﻳ ﻪﺑ ﺰﻬﺠﻣ 5
±
5
± ﻲﺘﻧﺎﺳ ﻪﺟرد ﺪﺷ مﺎﺠﻧا داﺮﮔ
. رد ﻞﻜﺷ 1 ﻪﻣﺎﻧﺮﺑ تﺎﻴﻠﻤﻋ يﺎﻫ
ﺖﺳا هﺪﺷ هداد نﺎﺸﻧ هﺪﺷ اﺮﺟا ﻲﻜﻴﻧﺎﻜﻣﻮﻣﺮﺗ .
ﻪﻧﻮﻤﻧ ﺖﺳا ﺺﺨﺸﻣ ﻞﻜﺷ ﻦﻳا رد ﻪﻛ ﻪﻧﻮﮔ نﺎﻤﻫ ﺶﻴﭘ زا ﺪﻌﺑ ﺎﻫ
يﺎﻣد رد مﺮﮔ 1200
ﻲﺘﻧﺎﺳ ﻪﺟرد تﺪﻣ ﻪﺑ داﺮﮔ
10 ﻪﺑ ﻪﻛ ﻪﻘﻴﻗد
تارذ ﻲﻣﺎﻤﺗ نﺪﺷ ﻞﺣ زا نﺎﻨﻴﻤﻃا و نﺪﺷ ﻪﺘﻴﻨﺘﺳآ رﻮﻈﻨﻣ ﻲﻣ بﺎﺨﺘﻧا يژﺎﻴﻟآوﺮﻜﻴﻣ دﻮﺷ
] 8 [ دﺮﺳ ﻞﻜﺷ ﺮﻴﻴﻐﺗ يﺎﻫﺎﻣد ﺎﺗ ،
تﺪﻣ ﻪﺑ يراﺪﻬﮕﻧ زا ﺲﭘ و هﺪﺷ 5
ﺎﻣد ﻢﻫ رﻮﻈﻨﻣ ﻪﺑ ﻪﻘﻴﻗد
ﻪﻧﻮﻤﻧ نﺪﺷ يﺎﻫﺎﻣد رد ،ﺎﻫ
950
، 1050
، 1100 و 1150 ﻪﺟرد
1. Dislocation Density Model 2. Zwick/Roll
ﻲﺘﻧﺎﺳ داﺮﮔ ) دﺪﺠﻣ رﻮﻠﺒﺗ مﺪﻋ يﺎﻣد يﻻﺎﺑ هدوﺪﺤﻣ (
3خﺮﻧ ﺎﺑ
ﺶﻧﺮﻛ ﻒﻠﺘﺨﻣ يﺎﻫ 01
/ 0
، 1 / 0 و 1 راﺮﻗ رﺎﺸﻓ ﺖﺤﺗ ﻪﻴﻧﺎﺛ ﺮﺑ
ﻲﻣ ﺪﻧﺮﻴﮔ ) عﻮﻤﺠﻣ رد 12
مﺮﮔ رﺎﺸﻓ نﻮﻣزآ .(
ﻞﻜﺷ 1 رﺎﺸﻓ نﻮﻣزآ رد هﺪﺷ اﺮﺟا ﻲﻜﻴﻣﺎﻨﻳدﻮﻣﺮﺗ تﺎﻴﻠﻤﻋ تﺎﻴﺋﺰﺟ
ﺮﺿﺎﺣ ﻖﻴﻘﺤﺗ رد مﺮﮔ
دﺪﺠﻣ رﻮﻠﺒﺗ هﺪﻳﺪﭘ ﻞﻴﻤﻜﺗ و عﻮﻗو زا نﺎﻨﻴﻤﻃا رﻮﻈﻨﻣ ﻪﺑ ﻦﻳا عﻮﻗو ﻪﻛ ﻞﻜﺷ ﺮﻴﻴﻐﺗ ﻂﻳاﺮﺷ زا ﻪﺘﺳد نآ رد ﻲﻜﻴﻣﺎﻨﻳد
ﻪﻧﻮﻤﻧ ﻪﻤﻫ ،ﺖﺳا ﻞﻤﺘﺤﻣ هﺪﻳﺪﭘ ﺶﻧﺮﻛ ﺎﺗ ﺎﻫ
7 / 0 راﺮﻗ رﺎﺸﻓ ﺖﺤﺗ
ﺪﻨﺘﻓﺮﮔ ] 9 [.
ﻪﻧﻮﻤﻧ ﺲﭙﺳ ﻲﺘﻴﻨﺘﺳآ رﺎﺘﺧﺎﺳﺰﻳر ﻆﻔﺣ رﻮﻈﻨﻣ ﻪﺑ ﺎﻫ
ﻲﺳرﺮﺑ و ﻻﺎﺑ يﺎﻫﺎﻣد رد ﻪﻧاد هزاﺪﻧا يﺪﻌﺑ يﺎﻫ
ﻪﺑ قﺎﺗا يﺎﻣد ﺎﺗ ،
ﻲﻣ ﻚﻨﺧ بآ رد ﺖﻋﺮﺳ ﺪﻧﻮﺷ
.
3 - حﺮﺷ و ﺞﻳﺎﺘﻧ
3 - 1 - ﻲﻨﺤﻨﻣ ﻲﺘﺨﺳرﺎﻛ خﺮﻧ ﻞﻴﻠﺤﺗ و نﻼﻴﺳ يﺎﻫ
ﻲﻨﺤﻨﻣ ﻲﻘﻴﻘﺣ ﺶﻨﺗ يﺎﻫ –
دﻻﻮﻓ ياﺮﺑ ﻲﻘﻴﻘﺣ ﺶﻧﺮﻛ رد
X70ﻞﻜﺷ 2 ﺖﺳا هﺪﺷ هداد نﺎﺸﻧ .
ﺎﻣد ﺖﺳا ﺺﺨﺸﻣ ﻪﻛ ﻪﻧﻮﮔ نﺎﻤﻫ
ﺶﻧﺮﻛ خﺮﻧ و ﻪﻈﺣﻼﻣ ﻞﺑﺎﻗ ﺮﻴﺛﺄﺗ ﻒﻠﺘﺨﻣ يﺎﻫ
نﻼﻴﺳ ﺶﻨﺗ ﺮﺑ يا
ﻦﻳا و ﺎﻫﺎﻣد رد ﺶﻧﺮﻛ خﺮﻧ ﺶﻳاﺰﻓا ﺎﺑ ﻪﻛ يرﻮﻃ ﻪﺑ ،ﺪﻧراد دﻻﻮﻓ ﺶﻳاﺰﻓا ﺎﺑ ﺮﮕﻳد فﺮﻃ زا و ﺶﻳاﺰﻓا نﻼﻴﺳ ﺶﻨﺗ ،ﻪﺑﺎﺸﻣ ﺶﻧﺮﻛ
ﻲﻣ ﺶﻫﺎﻛ نﻼﻴﺳ ﺶﻨﺗ ،ﻪﺑﺎﺸﻣ ﺶﻧﺮﻛ و ﺶﻧﺮﻛ خﺮﻧ رد ﺎﻣد ﺪﺑﺎﻳ
.
ﻲﻨﺤﻨﻣ ﺐﻠﻏا رد ﺎﻫ
) ﻞﻜﺷ صﻮﺼﺧ ﻪﺑ يﺎﻫ
2 - د ﺎﺗ ب ( ﺪﺷر ،
رد و ﺮﺜﻛاﺪﺣ ﺶﻨﺗ ﻪﺑ نﺪﻴﺳر ﺎﺗ ﺶﻨﺗ ﻊﻳﺮﺳ و ﻪﻴﻟوا ﺶﻫﺎﻛ ﻪﻣادا
راﺪﻳﺎﭘ ﺖﻟﺎﺣ ﺶﻨﺗ ﻪﺑ نﺪﻴﺳر ﺎﺗ نآ ﻲﺠﻳرﺪﺗ )
هﺪﻨﻫد نﺎﺸﻧ ﻪﻛ
ﻲﻣ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ عﻮﻗو ﺪﺷﺎﺑ
( ﺖﺳا هﺪﻫﺎﺸﻣ ﻞﺑﺎﻗ ، .
3. No-Recrystallization Temperature (Tnr)
ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ رﺎﻜﻤﻫ و
153
ﺮﻈ ﻖﺑﺎﻄﻣ API 5L ] 32 [
Cu V Cr Ni Ti
01 /
0 0/04 0/01 0/187 0/018
- - - - 0/06
يﺎﻣد 1100 ﻲﺘﻧﺎﺳ ﻪﺟرد داﺮﮔ
يﺎﻣد 1150 ﻲﺘﻧﺎﺳ ﻪﺟرد داﺮﮔ
نﻼﻴﺳ
، ﺶﻧﺮﻛ خﺮﻧ يﺎﻫ
01 / 0
، 1 / 0 و 1 ﻪﻴﻧﺎﺛ ﺮﺑ
ﻲﻨﺤﻨﻣ ﻪﺼﺨﺸﻣ ط ﺶﻨﺗ ﻞﻣﺎﺷ دﻻﻮﻓ نﻼﻴﺳ
ﺮﺜﻛاﺪﺣ ) σ
p( راﺪﻳﺎﭘ ﺖﻟﺎﺣ ﺶﻨﺗ و )
σ
ss( رد
ﺶﻧﺮﻛ خﺮﻧ و داﺮﮕﻴﺘﻧﺎﺳ 1
/ 0 يور ﻪﻴﻧﺎﺛ ﺮﺑ
ﻲﺘ - ﺶﻨﺗ )
θ-σ ( ﺖﺳا هﺪﺷ هداد نﺎﺸﻧ .
ﻲﻨﺤﻨﻣ ﻒﻄﻋ ﻪﻄﻘﻧ ﺖﺳا ﺺﺨﺸﻣ ﻪ
θ-σ
ﻲﻨﺤﻨﻣ ﻪﻨﻴﻤﻛ ﻪﻄﻘﻧ ﺎﻳ
–dθ/dσ
) ﻞﻜﺷ 3 -
ﺶﻨﺗ هﺪﻨﻫد نﺎﺸﻧ ،ﺮﺜﻛاﺪﺣ ﺶﻨﺗ زا ﻞﺒﻗ ﺶ ﻲﻣ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﺪﺷﺎﺑ
] 25 [.
مﺮﮔ رﺎﻛ ﺖﺑ
يور ﻞﻜﺷ ﺮﻴﻴﻐﺗ يﺎﻣد و ﺶﻧﺮﻛ خﺮﻧ ﺮﺛا ند
ﺮﻧز ﺮﺘﻣارﺎﭘ زا نا -
ﻦﻤﻟﻮﻫ ) (
Zﻪﻄﺑار رد )
2 (
لﺎﻘﺘﻧا ﻪﻟﻮﻟ دﻻﻮﻓ رد . . .
ق هدﺎﻌﻟا ﺪﻨﻔﺳا 1392
، ةرود 13 ةرﺎﻤﺷ 14
ﻛﺮﺗ ﻴ ﺐ ﺷ ﻴ ﻤ ﻴﺎ ﻲﻳ دﻻﻮﻓ API X70 هاﺮﻤﻫ
ﺎﺑ دﺎﻘﻣ ﻳﺮ ﺮﺜﻛاﺪﺣ درﻮﻣ ﻈﻧ
Mo Nb Al S P Si M
24 /
0 0/05 0/03 0/015 0/008 0/2 1
- - - 0/015 0/025 - 1
ﺶﻨﺗ ،ﻞﻜﺷ ﺮﻴﻴﻐﺗ يﺎﻣد ﺶﻫﺎﻛ ﺖﺳ ) ﻞﻜﺷ 2 - ﻒﻟا .(
ﻲﻟﺎﺣ رد ﻪﻛ
ﺶﻧﺮﻛ خﺮ دﺪﺠﻣ رﻮﻠﺒﺗ ،ﻦﻴﻳﺎﭘ يﺎﻫ
ﺮﺜﻛاﺪﺣ ﻪﻄ (
ﻲﻣ هﺪﻳد دﻮﺷ ) ﻞﻜﺷ
ﻲﻨﺤﻨﻣ يور نﻼﻴﺳ يﺎﻫ
ﻲﺘﺨﺳرﺎﻛ خﺮﻧ ﺮﺑ ﻲﻨ )
θ ( طﺎﻘﻧ ،
دﺪﺠﻣ رﻮﻠﺒﺗ عوﺮﺷ و هدﺎﻣ ن ﻲﻣ ار ﻲﺘﺨﺳرﺎﻛ خ ﻪﻄﺑار زا ناﻮﺗ
1 1
1 1
− +
− +
−
= −
=
i i
i i
i d i
d
ε ε
σ σ ε θ σ
9 ﻲﺘﻧﺎﺳ ﻪﺟرد داﺮﮔ
1 ﻲﺘﻧﺎﺳ ﻪﺟرد داﺮﮔ
ج -
د -
ﻞﻜﺷ 2 ﻲﻨﺤﻨﻣ يﺎﻫ
ﻞﻜﺷ رد 3 طﺎﻘﻧ
ﻲﻧاﺮﺤﺑ ) σ
c( ﺶﻨﺗ ،
يﺎﻣد 1100 ﻪﺟرد
ﻲﻨﺤﻨﻣ ﺘﺨﺳرﺎﻛ خﺮﻧ ﻪﻛ ﻪﻧﻮﮔ نﺎﻤﻫ
) ﻞﻜﺷ 3 - ﻒﻟا ( ﻳ و
ب ( ﺶﻨﺗ ﻞﺑﺎﻘﻣ رد
عوﺮﺷ ياﺮﺑ ﻲﻧاﺮﺤﺑ
3 - 1 - 2 - ﻦﻴﻴﻌﺗ ﺑاﻮﺛ
داد نﺎﺸﻧ رﻮﻈﻨﻣ ﻪﺑ ﻲﻣ نﻼﻴﺳ ﺶﻨﺗ اﻮﺗ
دﺮﻛ هدﺎﻔﺘﺳا ]
34 [.
د ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﺳرﺮﺑ
سرﺪﻣ ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ قﻮﻓ
لوﺪﺟ 1 ﺗ
Mn C يژﺎﻴﻟآ ﺮﺻﺎﻨﻋ
5
/ 0/05 ﻲﻧزو ﺪﺻرد 4
/ 0/24 ﺮﺜﻛاﺪﺣ
ﻛ ﺎﻳ ﺶﻧﺮﻛ خﺮﻧ ﺶﻳاﺰﻓا ﺎﺑ ﻞﺑﺎﻗ ﺮﺘﻤﻛ ﺮﺜﻛاﺪﺣ ﺳا هﺪﻫﺎﺸﻣ
ﺮﻧ و ﻻﺎﺑ ﻞﻜﺷ ﺮﻴﻴﻐﺗ يﺎﻫﺎﻣد رد بوﺎﻨﺘﻣ ﻲﻜﻴﻣﺎﻨﻳد )
ﻄﻘﻧ ﺪﻨﭼ ﺎﺑ
2 - د .(
3 - 1 - 1 - ﻪﺼﺨﺸﻣ طﺎﻘﻧ ﻦﻴﻴﻌﺗ
ﻞﻴﻠﺤﺗ زا هدﺎﻔﺘﺳا ﺎﺑ ﻨﺘﺒﻣ يﺎﻫ
ﻲﻨﺤﻨﻣ ﻪﺼﺨﺸﻣ نﻼﻴﺳ يﺎﻫ
ﻲﻜﻴﻣﺎﻨﻳد ﻲﻣ ﻦﻴﻴﻌﺗ
دﻮﺷ . خﺮﻧ
) 1 ( دروآ ﺖﺳد ﻪﺑ ]
33 [.
) 1 (
ﻒﻟا - يﺎﻣد 950
ب - يﺎﻣد 050
ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ رﺎﻜﻤﻫ و
سرﺪﻣ ﻚ قﻮﻓ
هدﺎﻌﻟا ﺪﻨﻔﺳا 1392
، ةرود 13 ةرﺎﻤﺷ 14
n p
T A R
Q σ
ε (1) ln ln
ln+ = ′+ ′
A p
T R
Q βσ
ε + (1)=ln ′′+ ln
) sinh(
[ln ln
1) (
ln A n P
T R
Q ασ
ε+ = +
ﻂﺑاور ﻦﻴﻓﺮﻃ زا ﻲﺋﺰﺟ ﻖ )
6 ( ﺎﺗ ) 8 ( ﺖﺑاﻮﺛ ،
ﻂﺑاور زا ه )
9 ( ﺎﺗ ) 11 ( ﻲﻣ ﻦﻴﻴﻌﺗ ﺪﻧﻮﺷ
.
T n
p
∂
= ∂
′ σ
ε ln
ln
T
p
∂
= ∂ σ β lnε
n T
P
∂
= ∂
)]
ln[sinh(
ln ασ ε
ﻂ ) 9 ( ﺎﺗ ) 11 ( ﻲﻣ ﺖﺑﺎﺛ ناﻮﺗ زا ار رﻮﻛﺬﻣ يﺎﻫ
رد ﻪﻛ ﻪﻃﻮﺑﺮﻣ يﺎﻫ ﻞﻜﺷ
4 هﺪﺷ هداد نﺎﺸﻧ
د.
ﻲﻨﺤﻨﻣ ﺐﻴﺷ ﺖﺳا ﺺﺨﺸﻣ ﻞﺑﺎﻘﻣ رد
lnέﻒ ( ﺐﻴﺷ ، ﻞﺑﺎﻘﻣ رد
lnέσ
p) ﻞﻜﺷ 4 - ب ( و
ln{sinh(ασp)}
ﻞ )
ﻞﻜﺷ 4 - ج ( ﺐﻴﺗﺮﺗ ﻪﺑ
ß و ﻲﻣ هدﺎﻔﺘﺳا
nدﻮﺷ
. ﺮﻳدﺎﻘﻣ سﺎﺳا ﺮﺑ
هداد ﻲﻄﺧ نﻮﻴﺳﺮﮔر ﺮﻳدﺎﻘﻣ ،ﻲﺑﺮﺠﺗ يﺎﻫ
،
n’ﺮﺑاﺮ 886 / 5
، 092 / 0 و 420 / 4 هﺪﻣآ ﺖﺳد ﻪﺑ
ﻪ ياﺮﺑ ﻪﺒﺳﺎﺤﻣ α ﻪﻄﺑار زا
α=ß/n’هدﺎﻔﺘﺳا
016 / 0 ﺖﺳا هﺪﻣآ ﺖﺳد ﻪﺑ نآ ياﺮﺑ .
يژ لﺎﻌﻓ يزﺎﺳ
ﻂﺑاور ﻦﻴﻓﺮﻃ زا ﻲﻌﻴﺒﻃ )
3 ( ﺎﺗ ) 5 ( ﺲﭙﺳ و
ﻞﺻﺎﺣ ﻂﺑاور ﻦﻴﻓ )
ﻂﺑاور ) 6 ( ﺎﺗ ) 8 ((
خﺮﻧ رد
) 12 ( ﺎﺗ ) 14 ( ﻲﻣ ﺖﺳد ﻪﺑ ﺪﻳآ
.
ε σ
) (1
) ln(
T n R
Q P
∂
′∂
=
ε β σ
) (1
) (
T R
Q P
∂
= ∂
لﺎﻘﺘﻧا ﻪﻟﻮﻟ دﻻﻮﻓ رد . . .
ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ
) exp(RT Z =ε Q
ﺮﻧز -
،ﻦﻤﻟﻮﻫ لﺎﻌﻓ يژﺮﻧا
Qيزﺎﺳ
ﺮﺑاﺮﺑ ﺎﻫزﺎﮔ ﻲﻣﻮﻤ 314472
/ 8 لوژ
ﻲﻣ ﻖﻠﻄﻣ ﺪﺷﺎﺑ
. ﻪﻄﺑار ﻖﺑﺎﻄﻣ )
2 (،
،ﺮﺘﻤﻛ ﻞﻜﺷ ﺮﻴﻴﻐﺗ يﺎﻫﺎﻣد و ﺮﺗﻻ و ﺮﺜﻛاﺪﺣ ﺶ ﻪﻠﻴﺳو ﻪﺑ ًﺎﻣﻮﻤﻋ
Zو ﻲﻳﺎﻤﻧ ،ﻲﻧاﻮﺗ ﻂﺑاور ناﻮﻨﻋ ﺖﺤﺗ ﻲ ﻲﻣ نﺎﻴﺑ ،ﺪﻧﻮﺷ دﻮﺷ
] 35 [.
np
A Z = ′σ ′
) exp( p A
Z = ′′ βσ
p n
A
Z = [lnsinh(ασ )]
،ﺪﺷ ﺮﻛذ ﻪﻛ ﻪﻧﻮﮔ ﺮﻧز ﺮﺘﻣارﺎﭘ
Z-
ß
nو ﻲﻣ ﺖﺑﺎﺛ ﺪﻨﺷﺎﺑ .
ﻂﺑاور رد )
3 ( ﺎﺗ ) 5 ( ﻦﺘﻓﺮﮔ و
ﻂﺑاور هﺪﻣآ ﺖﺳد ﻪﺑ تﻻدﺎ )
6 ( ﺎﺗ )
6 (
) 7 (
) 8 (
]ﻖﺘﺸﻣ ﻦﺘﻓﺮﮔ ﺎﺑ
،
n’ß و دﺎﻔﺘﺳا ﺎﺑ
n) 9 (
) 10 (
) 11 ( ﻂﺑاور ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ
ﻲﻨﺤﻨﻣ ﻢﺳر ﻖﻳﺮﻃ ﻫ
دروآ ﺖﺳد ﻪﺑ ،ﺖﺳا نﺎﻤﻫ ﻪﻛ رﻮﻃ
lnσp
) ﻞﻜﺷ 4 - ﻒﻟا
lnέ
ﺐﻴﺷ ﻞﺑﺎﻘﻣ رد
ﻪﺒﺳﺎﺤﻣ ياﺮﺑ
،
n’ر زا ﻞﺻﺎﺣ ﻂﺳﻮﺘﻣ و
ßﺮﺑ ﺐﻴﺗﺮﺗ ﻪﺑ
nﺖﺳا . ﻦﻳا ﻦﻤﺿ ﻪﻛ
هﺪﺷ ] 33 [ راﺪﻘﻣ و
3 - 1 - 3 - ﺮﻧا ﻦﻴﻴﻌﺗ
ﻃ ﻢﺘﻳرﺎﮕﻟ ﻦﺘﻓﺮﮔ ﺎﺑ ﻓﺮﻃ زا ﻲﺋﺰﺟ ﻖﺘﺸﻣ ﻂﺑاور ،ﺖﺑﺎﺛ ﺶﻧﺮﻛ
) 12 (
) 13 (
ﻒﻟ (
ب ( يﺎﻣد رد دﻻﻮﻓ نﻼﻴﺳ 1100
ﻪﺟرد
ﺶﻧﺮﻛ 1 / 0 ﻪﻴﻧﺎﺛ ﺮﺑ
ﻲ ( راﺪﻳﺎﭘ ﺖﻟﺎﺣ ﺶﻨﺗ
د ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﺳرﺮﺑ
154 ) 2 (
،ﻪﻄﺑار ﻦﻳا رد ز ﺮﺘﻣارﺎﭘ
Z) لﻮﻣ ﺮﺑ لوژﻮﻠﻴﻛ (،
ﻤﻋ ﺖﺑﺎﺛ
Rو ،لﻮﻣ ﺮﺑ ﻦﻳﻮﻠﻛ ﺮﺑ ﻣ يﺎﻣد
Tراﺪﻘﻣ ﺶﻧﺮﻛ خﺮﻧ رد ،
Zﺎﺑ يﺎﻫ
ﻲﻣ ﺮﺘﺸﻴﺑ ﺪﺷﺎﺑ
. ﺶﻨﺗ ﻦﻴﺑ طﺎﺒﺗرا
ﻂﺑاور ) 3 ( ﺎﺗ ) 5 ( ﺐﻴﺗﺮﺗ ﻪﺑ ﻪﻛ
ﻲﻣ هﺪﻴﻣﺎﻧ ﻚﻴﻟﻮﺑﺮﭙﻳﺎﻫ سﻮﻨﻴﺳ ) 3 (
) 4 (
) 5 ( ﻂﺑاور رد )
3 ( ﺎﺗ ) 5 ( نﺎﻤﻫ
،ﻦﻤﻟﻮﻫ
σpو ﺮﺜﻛاﺪﺣ ﺶﻨﺗ
،
n’ﻪﻄﺑار نداد راﺮﻗ ﺎﺑ )
2 (
ﺎﻌﻣ فﺮﻃ ود زا ﻲﻌﻴﺒﻃ ﻢﺘﻳرﺎﮕﻟ ) 8 ( ﻫاﻮﺧ ﺖﺳد ﻪﺑ ﻨ
آ ﺪ ﺪﻣ .
) ﻒﻟا) ب
ﻞﻜﺷ 3 ﻲﻨﺤﻨﻣ ﻪﺼﺨﺸﻣ طﺎﻘﻧ ﺳ
ﻛ خﺮﻧ و داﺮﮕﻴﺘﻧﺎﺳ
ﻒﻄﻋ ﻪﻄﻘﻧ ) ﻲﻧاﺮﺤﺑ ﺶﻨﺗ
ﺮﺜﻛاﺪﺣ ﺶﻨﺗ
ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ رﺎﻜﻤﻫ و
155
هداد ﻲﻄﺧ نﻮﻴﺳﺮﮔ يژﺮﻧا راﺪﻘﻣ ،ﻲﺑﺮﺠﺗ يﺎﻫ
سﺎﺳا ﺮ سﻮﻨﻴﺳ و ﻲﻳﺎﻤﻧ ،ﻲﻧاﻮﺗ ﻂﺑاور
ﺮﺑاﺮﺑ ﺐ 376
، 388 و 382 لﻮﻣ ﺮﺑ لوژﻮﻠﻴﻛ
ﻲﮕﺘﺴﺒﻤﻫ ﺐ )
R2
( هداد ﻞﻜﺷ رد ﺎﻫ 5
،
9 / 0
R2=ﻞﻜﺷ رد 5
-
،ﻒﻟا 943 / 0
R2=رد
/
R2=0 ﻞﻜﺷ رد 5 - ﻲﻣ ﺖﺳد ﻪﺑ ج ﺪﻳآ
.
) ﻒﻟا (
) ب (
) ج (
يژﺮﻧا ﻪﺒﺳﺎﺤﻣ ﺖﻬﺟ هﺪﺷ هدﺎﻔﺘﺳا ﻲﺑﺮﺠﺗ ي لﺎﻌﻓ يزﺎﺳ
لﺎﻘﺘﻧا ﻪﻟﻮﻟ دﻻﻮﻓ رد . . .
ق هدﺎﻌﻟا ﺪﻨﻔﺳا 1392
، ةرود 13 ةرﺎﻤﺷ 14
ε ασ
) (1
)]
sinh(
[ln T Rn
Q P
∂
= ∂
ﻪﺒﺳ ﺖﺑﺎﺛ n’
ﻪﺒﺳ ﺖﺑﺎﺛ ß
ﻪﺒﺳ ﺖﺑﺎﺛ n ﻪﺒﺳﺎﺤﻣ ياﺮﺑ هﺪﺷ ه ﺖﺑﺎﺛ
يﺎﻫ ﺮﻴﻴﻐﺗ
دﻻﻮﻓ مﺮﮔ ln{sinh(ασ
سﻮﻜﻌﻣ ﺐﺴﺣ ﺮﺑ
سﺎﺳا ﺮﺑ ﺐﻴﺷ ﻦﻴﮕﻧﺎﻴﻣ ﻪﺒﺳﺎﺤ ﮔر زا ﻞﺻﺎﺣ ﺮﻳدﺎﻘﻣ
لﺎﻌﻓ يزﺎﺳ ) (
Qﺮﺑ
ﺐﻴﺗﺮﺗ ﻪﺑ ﻚﻴﻟﻮﺑﺮﭙﻳﺎﻫ ﻲﻣ ﺖﺳد ﻪﺑ ﺪﻳآ
.
ﺐﻳﺮﺿ ﻞﻴﻠﺤﺗ ﺎﺑ راﺪﻘﻣ ﻂﺳﻮﺘﻣ 949
ﻞﻜﺷ 5 - و ب 952
ﻞﻜﺷ 5 هداد يﺎﻫ
د ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﺳرﺮﺑ
سرﺪﻣ ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ قﻮﻓ
) 14 (
ﻒﻟا - ﺳﺎﺤﻣ
ب - ﺳﺎﺤﻣ
ج - ﺳﺎﺤﻣ
ﻞﻜﺷ 4 هداد هدﺎﻔﺘﺳا ﻲﺑﺮﺠﺗ يﺎﻫ ﮔ ﻞﻜﺷ
ﻢﺳر ﺎﺑ
lnσp،
σpو
σp)}ﻖﻠﻄﻣ يﺎﻣد )
ﻞﻜﺷ
5
(
ﺤﻣ و
ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ رﺎﻜﻤﻫ و
سرﺪﻣ ﻚ قﻮﻓ
هدﺎﻌﻟا ﺪﻨﻔﺳا 1392
، ةرود 13 ةرﺎﻤﺷ 14
ﺶﻧار ] 31 [ ﻪﺴﻳﺎﻘﻣ ﺎﺑ ﺲﭙﺳ و هﺪﺷ هدﺎﻔﺘﺳا
ﻪ ) 16 ( ﺖﺑﺎﺛ ، يﺎﻫ و
kﺖﺳا هﺪﺷ ﻦﻴﻴﻌﺗ
m.
ﻪﺒﺳﺎﺤﻣ رﻮﻈﻨﻣ ﻪﺑ ش
XRﻪﻄﺑار زا )
17 (
2 2
2 2
WR DR R WR
X σ σ
σ σ
−
= −
R²= 0 و lnZ= 5.804lnσp+ 6.533
R²= 0.
و lnZ= 0.09σp+ 25.63
و lnZ= 4.385 ln{sinh(ασp)} + 30.40 ﻦﻴﺑ ﻪﺼﺨﺸﻣ ﻂﺑاور ندروآ ﺖﺳد ﻪﺑ ﺖﻬﺟ ﻲﺑﺮﺠ
ﻲﮕﺘﺴﺒﻤﻫ ﺐﻳﺮﺿ ﺮﻳدﺎﻘﻣ هاﺮﻤﻫ ﻪﺑ ﺮﺜﻛ )
R2 (
لﺎﻘﺘﻧا ﻪﻟﻮﻟ دﻻﻮﻓ رد . . .
ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ
ﻲﻣ ﺺﺨﺸﻣ رﻮ ﻪﻄﺑار ﻪﻛ دﻮﺷ
) 14 ((
ﺎﺑ ار قﺎﺒﻄﻧا ﻦﻳﺮﺘﻬﺑ ، ) ﻞﻜﺷ 5 - ندﻮﺑ اراد ﺎﺑ ج
382 ﺖﺳد ﻪﺑ لﻮﻣ ﺮﺑ لوژﻮﻠﻴﻛ
لﺎﻌﻓ يژﺮﻧا رﺎﻛ ﻦﻳا ﺢﻴﺤﺻ يزﺎﺳ
ﺞﻳﺎﺘﻧ ﺮﻳﺎﺳ ﺎﺑ راﺪﻘﻣ ﻦﻳا ﻪﺴﻳﺎﻘ راﺪﻘﻣ 379 ياﺮﺑ لﻮﻣ ﺮﺑ لوژﻮﻠﻴﻛ
ﻲﻧاﺮﻬﺸﻟا ﻖ ]
36 [ ﻣ ، راﺪﻘ 375
نﺎﺒ ] 37 [ راﺪﻘﻣ و 393 لوژﻮﻠﻴﻛ
ﻲﻣ نﺎﺸﻧ ار ﻲﺒﺳﺎﻨﻣ ﻖﻴﺒﻄ ﺪﻫد
.
ﺶﻨﺗ وZ ﺮﺜﻛاﺪﺣ
ﻪﺼﺨﺸﻣ ﻪﻄﺑار ،ﺮﺜﻛاﺪﺣ ﺶﻨﺗ و
Z3 ( ﺎﺗ ) 5 ( ﻢﺳر و ﻞﺑﺎﻘﻣ رد
lnZﻞﻜﺷ 6 ( ﺖﺳا هﺪﻣآ ﺖﺳد ﻪﺑ ، .
ﻞﻜﺷ رد هﺪﺷ ﻢ 6
رادﻮﻤﻧ ، ﻞﻜﺷ
ﻲﮕﺘﺴﺒﻤﻫ ﺎﺑ
987 / 0
R2=ار نﺎﺸﻧ
ﺖﻬﺟ ﻞﻜﺷ ﻦﻳا رد هﺪﻣآ ﺖﺳد ﻦ ﺮﺜﻛاﺪﺣ ﺶﻨﺗ و
Zهدﺎﻔﺘﺳا
ﻲﻣ نﺎﺸﻧ ار ط ﺪﻫد
.
13 3
0 . 0 [sinh(
10 59 . 1
10 ) exp(382
Z ε RT
×
×
=
= ×
ﻲﻜﻴﻣﺎﻨﻳد د ﻲﻳﺎﺠ ﺶﻳاﺰﻓا ﻪﺘﺳﻮﻴﭘ ترﻮﺻ ﻪﺑ ﺎﻫ
،ﻲﻧاﺮﺤﺑ ﺶﻧﺮﻛ مﺎﻧ ﻪﺑ ﺺﺨﺸﻣ ﺶ ﻲﻜﻳدﺰﻧ رد و ﻪﺘﻓﺮﮔ ﻞﻜﺷ ﻲﻜﻴ ﺪﺷر ﻞﻜﺷ ﺮﻴﻴﻐﺗ يﺎﻫﺪﻧﺎﺑ و ﻲ
ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ ر زا هدﺎﻔﺘﺳا ﺎﺑ
3 [.
)(
exp[(
1
C
R k C
X ε
ε ε −
−
−
=
،ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﻤﺠ و
kεC
ﻲﻣ ﻲﻧاﺮﺤﺑ ﺶﻧﺮﻛ ﺪﻨﺷﺎﺑ
.
ﻪﺒﺳﺎﺤ
XRهﺪﺷ ﻲﻓﺮﻌﻣ شور زا رﺎﻜﻤﻫ و ﻲﺟ ﻂﺳﻮﺗ
ﻪﻄﺑار ﺎﺑ ﻞﺻﺎﺣ ﺞﻳﺎﺘﻧ شور ﻦﻳا ﻖﺑﺎﻄﻣ
ﺖﺳا هﺪﺷ هدﺎﻔﺘﺳا .
) 17 (
ﻒﻟا - 0.981
ب - .980
ج - R²= 0.987
ﻞﻜﺷ 6 هداد ﺠﺗ يﺎﻫ ﺜﻛاﺪﺣ ﺶﻨﺗ وZ
د ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﺳرﺮﺑ
156 ﻮﻛﺬﻣ ﺮﻳدﺎﻘﻣ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ
ﻚﻴﻟﻮﺑﺮﭙﻳﺎﻫ سﻮﻨﻴﺳ )
ﻪﻄﺑار
هداد دراد ﻲﻫﺎﮕﺸﻳﺎﻣزآ يﺎﻫ
952 /
R2=0 .(
لﺎﻌﻓ يژﺮﻧا ﻦﻳاﺮﺑﺎﻨﺑ يزﺎﺳ
ناﻮﻨﻋ ﻪﺑ رﻮﻛﺬﻣ ﻪﻄﺑار زا هﺪﻣآ ﺪﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ رد مﺮﮔ .
ﻘﻣ
ﻣ لﺎﺜﻣ ناﻮﻨﻋ ﻪﺑ ،ﻲﻫﺎﮕﺸﻳﺎﻣزآ دﻻﻮﻓ
API X70ﻖﻴﻘﺤﺗ رد
ﺒﺷ ﻖﻴﻘﺤﺗ رد لﻮﻣ ﺮﺑ لوژﻮﻠﻴﻛ وز ﻖﻴﻘﺤﺗ رد لﻮﻣ ﺮﺑ ]
20 [ ﻄﺗ ،
3 - 1 - 4 - ﺮﺘﻣارﺎﭘ ﻦﻴﺑ طﺎﺒﺗرا Z
ﻦﻴﺑ طﺎﺒﺗرا ﻲﺳرﺮﺑ رﻮﻈﻨﻣ ﻪﺑ
Zنآ ﻦﻴﺑ ﻂﺑاور سﺎﺳا ﺮﺑ ﺎﻫ )
3
lnσp
،
σpو
ln{sinh(ασp)}) ﺷ
ﻲﻨﺤﻨﻣ سﺎﺳا ﺮﺑ ﻢﺳر يﺎﻫ
6 - قﺎﺒﻄﻧا ﻦﻳﺮﺘﺸﻴﺑ ج ﻫ ﺐﻳﺮﺿ
ﻲﻣ ﺪﻫد . ﻪﺑ ﻪﻄﺑار زا ﻦﻳاﺮﺑﺎﻨﺑ ﻦﻴﺑ ﻪﺼﺨﺸﻣ ﻪﻄﺑار جاﺮﺨﺘﺳا
ﻲﻣ دﻮﺷ . ﻪﻄﺑار ) 15 ( طﺎﺒﺗرا ﻦﻳا
) 15 (
385 .
)]4
16×σP
3 - 2 - دﺪﺠﻣ رﻮﻠﺒﺗ ﻚﻴﺘﻨﻴﺳ
ﺠﺑﺎﻧ ،مﺮﮔ ﻞﻜﺷ ﺮﻴﻴﻐﺗ ﻦﻴﺣ رد ﻲﻣ ﺶﻧﺮﻛ ﻚﻳ رد ﻪﻜﻨﻳا ﺎﺗ ﺪﻨﺑﺎﻳ
ﻪﻧاﻮﺟ يﺎﻫ ﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ
ﻲﻳﻮﻠﻗود يﺎﻫزﺮﻣ ،ﻪﻧاد يﺎﻫزﺮﻣ ﻲﻣ ﺪﻨﻨﻛ ] 38 [.
رﻮﻠﺒﺗ ﻚﻴﺘﻨﻴﺳ
ﻪﻄﺑار ) 16 ( ﻲﻣ ﺢﻳﺮﺸﺗ دﻮﺷ
] 39
) 16 (
])m
ﻪﻄﺑار ﻦﻳا رد
XRﺠﺣ ﺮﺴﻛ
ﺖﺑﺎﺛ
mو هدﺎﻣ ﻪﺑ طﻮﺑﺮﻣ يﺎﻫ
C
ﺤﻣ رﻮﻈﻨﻣ ﻪﺑ ﻪﻟﺎﻘﻣ ﻦﻳا رد
ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ رﺎﻜﻤﻫ و
157
ي
ﺪﻳﺮﮔ ﺎﺑ ﻪﻟﻮﻟ ﻂﺧ دﻻﻮﻓ مﺮﮔ
API X70ﻪﺑ
ﻲﻳﺎﻣد هدوﺪﺤﻣ رد مﺮﮔ 950
ﺎﺗ 1150 ﻪﺟرد
ﺶﻧﺮ يﺎﻫ 01 / 0
، 1 / 0 و 1 لﺪﻣ ﻪﻴﻧﺎﺛ ﺮﺑ يزﺎﺳ
زا هدﺎﻔﺘﺳا ﺎﺑ ﺰﻴﻧ نآ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒ ﺖﺳا هﺪﺷ ﻲ .
ﻪﺑ ﺞﻳﺎﺘﻧ ﻲﻣ نﺎﺸﻧ هﺪﻣآ ﺖﺳد -
ﻲ ﺶﻨﺗ يﺎﻫ -
دﻻﻮﻓ ﺶﻧﺮﻛ
API X70ﻲﺳرﺮﺑ
ﺶﻧﺮﻛ خﺮﻧ و ﺎﻫﺎﻣد ﻦﻳا رد ﻪﺘﻓر رﺎﻛ ﻪﺑ يﺎﻫ
ﺮﺜﻛاﺪﺣ ﺶﻨﺗ ﻚﻳ ﺎﺑ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ر راﺪﻳﺎﭘ ﺖﻟﺎﺣ ﺶﻨﺗ ﻪﺑ نﺪﻴﺳر ﺎﺗ ﺶﻨﺗ رد
ﺮﺷ رد لﺎﺣ و ﻦﻴﻳﺎﭘ يﺎﻣد ﺎﺑ ﻞﻜﺷ ﺮﻴﻴﻐﺗ ﻂﻳا
ﺪﻨ 950 ﻲﺘﻧﺎﺳ ﻪﺟرد ﺶﻧﺮﻛ خﺮﻧ و داﺮﮔ
1 ﺮﺑ
يﺎﻣد ﺎﺑ ﻞﻜﺷ ﺮﻴﻴﻐﺗ ﻂﻳاﺮﺷ رد و ﻲﻜﻴﻣﺎﻨﻳد ﻦﻴﻳﺎ ) ﺪﻨﻧﺎﻣ 1150 ﻲﺘﻧﺎﺳ ﻪﺟرد خﺮﻧ و داﺮﮔ
ﻪ ( د بوﺎﻨﺘﻣ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ رﺎﺘﻓر هﺪﻳ
ﺪﻨﻧﺎﻣ ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻢﻬﻣ ﺶﻧﺮﻛ
ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ )
شور زا هدﺎﻔﺘﺳا ﺎﺑ
( ﺶﻨﺗ ،راﺪﻳﺎﭘ ﺖﻟﺎﺣ ﺶﻧﺮﻛ ،ﺮﺜﻛاﺪﺣ ﺶﻧﺮﻛ ،
هداد ﻪﻠﻴﺳو ﻪﺑ راﺪﻳﺎﭘ ﺖﻟﺎﺣ ﺶﻨﺗ و ﺮﺜ ﻪﺑ يﺎﻫ
ﻲﻘﻴﻘﺣ - ﺮﻛ ﻧ ﺶ ﺖﺨﺳ خﺮﻧ و ﻲﻘﻴﻘﺣ ﻪﺑ يرﺎﻛ
لﺎﻌﻓ ي يزﺎﺳ
Q) (
،ﻲﻧاﻮﺗ ﻂﺑاور سﺎﺳا ﺮﺑ
ﺮﺑاﺮﺑ ﺐﻴﺗﺮﺗ ﻪﺑ ﻚﻴﻟﻮﺑﺮﭙﻳﺎ 376
، 388 و 382
ﺖﺳا هﺪﻣآ ﺖﺳد ﻪﺑ .
ﺐﻳﺮﺿ ﻞﻴﻠﺤﺗ ﺎﺑ
هداد سﻮﻨﻴﺳ ﻪﻄﺑار ﻪﻛ ﺪﺷ ﺺﺨﺸﻣ ،ﺎﻫ
قﺎﺒﻄﻧا ﻦ هداد ﺎﺑ ار
دراد ﻲﻫﺎﮕﺸﻳﺎﻣزآ يﺎﻫ .
ل يزﺎﺳ 382 هﺪﻣآ ﺖﺳد ﻪﺑ لﻮﻣ ﺮﺑ لوژﻮﻠﻴﻛ
لﺎﻌﻓ يژﺮﻧا ناﻮﻨﻋ مﺮﮔ رﺎﻛ ﺢﻴﺤﺻ يزﺎﺳ
ﺪﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ رد .
ﻲﻣ ﻲﮔﮋﻳو ﺢﻳﺮﺸﺗ رﻮﻈﻨﻣ ﻪﺑ ﺪﻧاﻮﺗ ﺮﻴﻴﻐﺗ يﺎﻫ
API X70
ﺷ ﻪﻌﻟﺎﻄﻣ
،ﻖﻴﻘﺤﺗ ﻦﻳا رد هﺪ
3
13 4.
382 10
exp( )
1.59 10 [sinh(0.016 P)]
Z ε RT
σ
= ×
= × × ×
لﺎﻘﺘﻧا ﻪﻟﻮﻟ دﻻﻮﻓ رد . . .
ق هدﺎﻌﻟا ﺪﻨﻔﺳا 1392
، ةرود 13 ةرﺎﻤﺷ 14
رد ﻪﻛ ﻞﻜﺷ 7 هﺪﺷ هداد نﺎﺸﻧ
،ﻲﻜﻴﻣﺎﻨﻳد ﻲﺑﺎﻳزﺎﺑ و ﻲﺘﺨﺳ σ
DRﺐﻴﺗﺮﺗ ﻪﺑ ﻪﻛ هدﻮﺑ يرﺎﺟ ﺶﻨﺗ ﺶﻨﺗ ،ﺮﺜﻛاﺪﺣ ﺶﻨﺗ ﺎﺗ ﻲﻧاﺮﺤﺑ
σ
*ﻢﺳر ﺎﺑ ،ﺖﺳا هﺪﺷ ﺺﺨﺸﻣ
ﺖﺳا هﺪﻣآ ﺖﺳد ﻪﺑ .
ﻪﻜﻳرﻮﻃ ﻪﺑ
رﻮﺤﻣ و σ يرﺎﺟ ﺶﻨﺗ ناﻮﻨﻋ ﻪﺑ
زا ﺶﻨﺗ ﺶﻳاﺰﻓا ﺎﺑ هدوﺪﺤﻣ ﻦﻳا
*
، σ ﻪﻄﺑار ﻖﺒﻃ و ﻪﺘﻓﺎﻳ ﺶﻫﺎﻛ
ﻲﻣ ﺶﻳاﺰﻓا ﻲﻜ ﺪﺑﺎﻳ
.
زا ،راﺪﻳﺎﭘ ﺖﻟﺎﺣ ﺶﻨﺗ ﺎﺗ ﺮﺜﻛاﺪﺣ ﺖﺳا هﺪﺷ هدﺎﻔﺘﺳا ﺶﻳﺎﻣزآ زا هﺪﻣ .
ﺖﻟﺎﺣ ﺶﻨﺗ ﺎﺗ ﺮﺜﻛاﺪﺣ ﺶﻨﺗ زا ﺶ ﻲﻣ ﺶﻳاﺰﻓا ﻲﻜﻴ ﺪﺑﺎﻳ
.
ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠ
XR)
( ﺖﺑﺎﺛ ،
kيﺎﻫ
ﻪﻄﺑار نﻮﻴﺳ )
16 ( زا هدﺎﻔﺘﺳا ﺎﺑ
εC،
و ﻒﻠﺘﺨﻣ يﺎﻫﺎﻣد ياﺮﺑ ار ﺮﻳدﺎﻘﻣ ﻲﻣ ﺪﻫد .
يﺎﻣد رد ﺶﻨﺗ ﻞﺑﺎﻘﻣ رد ﻲ 1100
ﺶﻧﺮﻛ خﺮ 1
/ 0 ﻪﻴﻧﺎﺛ ﺮﺑ
ﻪﻄﺑار ﻪﺑ طﻮﺑﺮﻣ هﺪﻣآ ﺖﺳ )
16 (
(s-1) έ T(°C)
1 / 0 1050
1 / 0 1100
1 / 0 1150
4 - ﻪﺠﻴﺘﻧ يﺮﻴﮔ
ﮔ ﻞﻜﺷ ﺮﻴﻴﻐﺗ رﺎﺘﻓر رﺎﺸﻓ نﻮﻣزآ ﻪﻠﻴﺳو ﻲﺘﻧﺎﺳ ﺮﻛ خﺮﻧ و داﺮﮔ
ﺒﺗ ﻚﻴﺘﻨﻴﺳ و هﺪﺷ ﻲﺳرﺮﺑ ﻲﺑﺮﺠﺗ ﻂﺑاور ﻪﻛ ﺪﻫد :
1 - ﻲﻨﺤﻨﻣ ﺐﻠﻏا
د هدوﺪﺤﻣ رد هﺪﺷ رﺎﺘﻓر ياراد ،ﻖﻴﻘﺤﺗ ﺶﻫﺎﻛ ﻪﻣادا رد و ﻲﻣ ﺪﻨﺷﺎﺑ . ﺣ ﻦﻳا ﺎﺑ
ﻻﺎﺑ ﺶﻧﺮﻛ خﺮﻧ )
ﻨﻧﺎﻣ
ﻪﻴﻧﺎﺛ ( ﻲﺑﺎﻳزﺎﺑ رﺎﺘﻓر ﺎﭘ ﺶﻧﺮﻛ خﺮﻧ و ﻻﺎﺑ
ﺶﻧﺮﻛ 01 / 0 ﻪﻴﻧﺎﺛ ﺮﺑ
ﻲﻣ دﻮﺷ .
2 - ﺎﻫﺮﺘﻣارﺎﭘ ي
عوﺮﺷ ياﺮﺑ ﻲﻧاﺮﺤﺑ نارﺎﻜﻤﻫ و هدازﺮﻴﻣ (
ﺜﻛاﺪﺣ ﺶﻨﺗ ،ﻲﻧاﺮﺤﺑ ﺶﻨﺗ زا هﺪﻣآ ﺖﺳد ﺖﺳا هﺪﻣآ ﺖﺳد .
3 - يژﺮﻧا راﺪﻘﻣ
ﺎﻫ سﻮﻨﻴﺳ و ﻲﻳﺎﻤﻧ لﻮﻣ ﺮﺑ لوژﻮﻠﻴﻛ ﻲﮕﺘﺴﺒﻤﻫ
R2)
( د
ﻦﻳﺮﺘﻬﺑ ،ﻚﻴﻟﻮﺑﺮﭙﻳﺎﻫ لﺎﻌﻓ يژﺮﻧا ﻦﻳاﺮﺑﺎﻨﺑ ﻪﺑ رﻮﻛﺬﻣ ﻪﻄﺑار زا هﺪﺷ ﺶﻳﺎﻣزآ دﻻﻮﻓ
4 - ﻣ ﺮﻳز ﻪﻄﺑار
دﻻﻮﻓ مﺮﮔ ﻞﻜﺷ دﻮﺷ هدﺎﻔﺘﺳا :
385
د ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﺳرﺮﺑ
سرﺪﻣ ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ قﻮﻓ
نﺎﻤﻫ ﻪﻄﺑار ﻦﻳا رد ﻪﻧﻮﮔ
،ﺖﺳا σ
WRرﺎﻛ ﺮﺜﻛاﺪﺣ ﺶﻨﺗ
SS
) σ ( و راﺪﻳﺎﭘ ﺖﻟﺎﺣ ﺶﻨﺗ σ
ﻲﻣ ﻦﻴﻴﻌﺗ ﻞﻳذ دﻮﺷ
:
- ﺶﻨﺗ ﻦﻴﺑ هدوﺪﺤﻣ رد ﺎﺑ ﻪﻛ هدوﺪﺤﻣ ﻦﻳا رد يرﺎﺟ
ﻲﻨﺤﻨﻣ ﺮﺑ سﺎﻤﻣ ﻂﺧ ﺑ
θ-σهﺪﺷ ﻢﺳر سﺎﻤﻣ ﻂﺧ ﻊﻃﺎﻘﺗ ﺖﺳا هﺪﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧ رد .
رد
ﺎﺗ ﻲﻧاﺮﺤﺑ ﺶﻨﺗ
،ﺮﺜﻛاﺪﺣ ﺶﻨﺗ
) 17 ( ﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﺮﺴﻛ
- ﺣ ﺶﻨﺗ ﻦﻴﺑ هدوﺪﺤﻣ رد ﺪﻣآ ﺖﺳد ﻪﺑ ﺶﻨﺗ ﻲﻌﻗاو ﺮﻳدﺎﻘﻣ
ﺶﻨﺗ ﺶﻫﺎﻛ ﺎﺑ هدوﺪﺤﻣ ﻦﻳا رد ﻮﻠﺒﺗ ﺮﺴﻛ ،راﺪﻳﺎﭘ ﻴﻣﺎﻨﻳد دﺪﺠﻣ ر
ﺠﻣ رﻮﻠﺒﺗ ﺮﺴﻛ ﻦﻴﻴﻌﺗ زا ﺲﭘ و ﻲﻣ ار
mﺳﺮﮔر ﻞﻴﻠﺤﺗ ﺎﺑ ناﻮﺗ
ε و
XRدروآ ﺖﺳد ﻪﺑ .
لوﺪﺟ 2 ﻣ ﻦﻳا زا يداﺪﻌﺗ
ﺶﻧﺮﻛ خﺮﻧ 1
/ 0 ﻣ نﺎﺸﻧ ﻪﻴﻧﺎﺛ ﺮﺑ
ﻞﻜﺷ 7 ﻲﺘﺨﺳرﺎﻛ خﺮﻧ ﻲﻨﺤﻨﻣ
ﺮﻧ و داﺮﮕﻴﺘﻧﺎﺳ ﻪﺟرد لوﺪﺟ 2 ﺮﻳدﺎﻘﻣ وk ﺳد ﻪﺑm
m k
912 / 0 581
/ 1
693 / 1 825
/ 0
472 / 1 179
/ 1
لﺎﻘﺘﻧا ﻪﻟﻮﻟ دﻻﻮﻓ رد ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻲﺳرﺮﺑ . . .
ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ رﺎﻜﻤﻫ و
158
سرﺪﻣ ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ قﻮﻓ
هدﺎﻌﻟا ﺪﻨﻔﺳا 1392
، ةرود 13 ةرﺎﻤﺷ 14
5 - ﺖﺑاﻮﺛ و
kﻚﻴﺘﻨﻴﺳ ﺢﻳﺮﺸﺗ رﻮﻈﻨﻣ ﻪﺑ ﻪﻛ ﺮﻳز ﻪﻄﺑار
mﻲﻣ هدﺎﻔﺘﺳا ﻲﻜﻴﻣﺎﻨﻳد دﺪﺠﻣ رﻮﻠﺒﺗ ﻞﻴﻠﺤﺗ زا هدﺎﻔﺘﺳا ﺎﺑ ،دﻮﺷ
ﻲﻨﺤﻨﻣ ﻲﻘﻴﻘﺣ ﺶﻨﺗ يﺎﻫ -
رد و هﺪﻣآ ﺖﺳد ﻪﺑ ،ﻲﻘﻴﻘﺣ ﺶﻧﺮﻛ
لوﺪﺟ 2 ﺖﺳا هﺪﺷ هداد
.1 exp[( )( C ) ]m
R
C
X k ε ε
ε
= − − −
5 - ﺮﻜﺸﺗ و ﺮﻳﺪﻘﺗ
نداد راﺮـﻗ رﺎـﻴﺘﺧا رد ظﺎﺤﻟ ﻪﺑ ﺪﻳﺪﺳ تاﺰﻴﻬﺠﺗ و ﻪﻟﻮﻟ ﺖﻛﺮﺷ زا دﻻﻮﻓ
API X70ﻢﻴـﻜﺣ هﺎﮕـﺸﻧاد رد راﺪـﻟﺎﻣ سﺪﻨﻬﻣ يﺎﻗآ زا و
يراوﺰﺒــﺳ )
راوﺰﺒــﺳ ﻢــﻠﻌﻣ ﺖــﻴﺑﺮﺗ (
مﺎــﺠﻧا رد يرﺎــﻜﻤﻫ ﺖــﻬﺟ
نﻮﻣزآ ﻲﻣ ﺮﻜﺸﺗ مﺮﮔ رﺎﺸﻓ يﺎﻫ ﻮﺷ
د . ﻢﻫ زا لوا هﺪﻨـﺴﻳﻮﻧ ﻦﻴـﻨﭼ
يﺎﻗآ ﻲﻤﻠﻋ ﻲﻳﺎﻤﻨﻫار و يرﺎﻜﻤﻫ ﺪﻴـﺷرﻮﺧ ﺶـﺧر دﻮﻌﺴﻣ ﺮﺘﻛد
ﻲﻣ ﺮﻜﺸﺗ و ﻲﻧادرﺪﻗ ﺪﻳﺎﻤﻧ
.
6 - ﻊﺟاﺮﻣ
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ﻲﻌﺨﻧ ﻲﻔﻄﺼﻣ رﺎﻜﻤﻫ و
سرﺪﻣ ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ قﻮﻓ
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