ﻪﭽﺨ ﻪﻟﺎﻘﻣ :
ﺖﻓﺎ 1 / 2 / 91
شﺮ 13 / 3 / 91
رد ﻪﺋارا ﺎﺳ ﻳ ﺖ 30 / 6 /
91
يا
ﻪﻧاﻮﺘﺳا يا رد ﺖﻟﺎﺣ
ﺖﺑﺎﺛ لﺪﻣ يزﺎﺳ
هدﺎﻔﺘﺳا زا لﺪﻣ
ﻪﺴﻳﺎﻘﻣ ﺞﻳﺎﺘﻧ ﻞﻴﻠﺤﺗ
يﺎﻫﺮﺘﻣارﺎﭘ ﺮﺛﻮﻣ
رد
رد ﻞﺻاﻮﻓ رود زا
ﺶﺨﭘ ﻪﺑادﺮﮔ يا
On
Abstract- Numerical simulation of turbulent flow and heat transfer in film cooling from a cylindrical hole in three dimensional case is considered
simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches show that the
moment closure (SMC) film cooling
moment closure models have more ability to better prediction of temperature Prandtl number dis
has been identified
the capability of simple eddy diffusivity model proposed for turbule
Keywords: Film
رﺎﺗ ﻳ ﻪﭽﺨ رد ﻳ ﺖﻓﺎ ﺬﭘ ﻳ شﺮ رد ﻪﺋارا
ﻪﻳﻻ يرﺎﻛ يا
يﺮﻠﮕﻴﺑ ﻲﺒﺘﺠﻣ ، 3
ﻚﻳ خارﻮﺳ ﻪﻧاﻮﺘﺳا
ﻞﺘﻧاﺮﭘ ﻲﮕﺘﻔﺷآ ﺖﺑﺎﺛ
ﻖﻴﻘﺤﺗ ﺮﺿﺎﺣ
، ﺎﺑ هدﺎﻔﺘﺳا
هﺪﺷ ﺖﺳا . ﻪﺴﻳﺎﻘﻣ
رد ﺶﻴﭘ ﻲﻨﻴﺑ يﺎﻫﺮﺘﻣارﺎﭘ
درﻮﻣ
،ﺮﻈﻧ زا 1 / 0 رد
ﻪﺒﺗﺮﻣ ود و لﺪﻣ ﺶﺨﭘ
On predicting
H. Naderi
Numerical simulation of turbulent flow and heat transfer in film cooling from a cylindrical hole in three dimensional case is considered
simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches show that the prescribed
moment closure (SMC) model
film cooling flow. Comparison between the n
moment closure models have more ability to better prediction of temperature Prandtl number distribution
een identified from 0.1 to 0.95
the capability of simple eddy diffusivity model for turbulent Prandtl number
Film Cooling, Turbulent Prandtl
ﻚﻨﺧ ﻪﻳﻻ يرﺎﻛ
يﺮﻠﮕﻴﺑ ﻲﺒﺘﺠﻣ ،
نﺎﻨﻤﺳ ،نﺎﻨﻤﺳ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷرا سﺎﻨﺷرﺎﻛ
rajabi@semnan.ac.ir
يرﺎﻛ ﻪﻳﻻ يا ياﺮﺑ
و ﺎﺑ ضﺮﻓ دﺪﻋ ﻞﺘﻧاﺮﭘ
ﺖﻴﻌﻗاو ﺖﺳا . رد ﻖﻴﻘﺤﺗ
ﻪﻳﻻ يا ﻪﺘﺧادﺮﭘ هﺪﺷ
ﻲﻳﺎﻧاﻮﺗ ﻞﺑﺎﻗ ﻲﻟﻮﺒﻗ رد
نآ رد ﻪﺳﺪﻨﻫ درﻮﻣ
زا شور ﺢﻳﺮﺻ ﻪﺒﺗﺮﻣ
هﺪﺷ ﺖﺳا .
redicting the
H. Naderi Mahabadi
1- 2- Ass 3- Ass
* P.
Numerical simulation of turbulent flow and heat transfer in film cooling from a cylindrical hole in three dimensional case is considered. For this purpose
simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches constant value of turbulent Prandtl number is far from reality. In the present study, second models with wall
Comparison between the n
moment closure models have more ability to better prediction of temperature tribution for film cooling
from 0.1 to 0.95 at the near of injection hole to far from it respectively the capability of simple eddy diffusivity model
nt Prandtl number instead of the ooling, Turbulent Prandtl
http://mechanics.journals.modares.ac.ir
69 - 79
نﺎﻳﺮﺟ ﻚﻨﺧ
يدﺎﺑآﺮﮔرز ﻲﺒﺟر ناﺮﻬﻣ
2
يﺮﻠﮕﻴﺑ ﻲﺒﺘﺠﻣ ،*
نﺎﻨﻤﺳ ،نﺎﻨﻤﺳ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷرا سﺎﻨﺷرﺎﻛ نﺎﻨﻤﺳ ،نﺎﻨﻤﺳ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ
هﺎﮕﺸﻧاد ، نﺎﻨﻤﺳ ، نﺎﻨﻤﺳ
rajabi@semnan.ac.ir
نﺎﻳﺮﺟ ﻚﻨﺧ يرﺎﻛ
ﻪﺑادﺮﮔ يا هدﺎﺳ و
ﻲﮕﺘﻔﺷآ ﺖﺑﺎﺛ رود زا ﺖﻴﻌﻗاو
رد ﻚﻨﺧ يرﺎﻛ ﻪﻳﻻ
ﻲﺗراﺮﺣ ﻪﺘﻔﺷآ ﻲﻳﺎﻧاﻮﺗ
ﻪﺘﻓﺮﮔ و هدوﺪﺤﻣ نآ
ﺞﻳﺎﺘﻧ ﻪﺑ ﺖﺳد هﺪﻣآ
85 / 0 (،
دﺎﻬﻨﺸﻴﭘ هﺪﺷ
-
ﺢﻳﺮﺻ
the turbulent cooling flow
Mahabadi1, M. Rajabi
MSc., Mech. Eng., Semnan Univ., Semnan, Iran Assis. Prof., Mech. Eng., Semnan Univ., Semnan, Iran Assis. Prof., Mech. Eng.
O. B. 35131-19111 Semnan,
Numerical simulation of turbulent flow and heat transfer in film cooling from a cylindrical hole in three . For this purpose, turbulent heat flux term of energy equation
simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches constant value of turbulent Prandtl number is far from reality. In the present study, second
with wall-reflection term Comparison between the numerical
moment closure models have more ability to better prediction of temperature for film cooling has been investigated
the near of injection hole to far from it respectively the capability of simple eddy diffusivity model in simulating film cooling heat transfer
instead of the ooling, Turbulent Prandtl Number, Second
mechanics.journals.modares.ac.ir ﻲﺸﻫوﮋﭘ ﻲﻤﻠﻋ ﻪﻠﺠﻣ
هرﺎﻤﺷ 4 نﺎﺑآ 1391 ص ص 69
رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ نﺎﻳﺮﺟ
يدﺎﺑآﺮﮔرز ﻲﺒﺟر ناﺮﻬﻣ
نﺎﻨﻤﺳ ،نﺎﻨﻤﺳ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷرا سﺎﻨﺷرﺎﻛ ﻲﺳﺪﻨﻬﻣ رﺎﻳدﺎﺘﺳا نﺎﻨﻤﺳ ،نﺎﻨﻤﺳ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ
ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ رﺎﻳدﺎﺘﺳا هﺎﮕﺸﻧاد ،
19111 - 35131
، rajabi@semnan.ac.ir
تراﺮﺣ ﻪﺘﻔﺷآ رد
ﻂﺳﻮﺗ لﺪﻣ ﺶﺨﭘ ﻪﺑادﺮﮔ
دﺪﻋ ﻞﺘﻧاﺮﭘ ﻲﮕﺘﻔﺷآ
لﺎﻘﺘﻧا تراﺮﺣ ﻪﺘﻔﺷآ
يﺮﺒﺟ - ﺢﻳﺮﺻ رﺎﺷ ﻲﺗراﺮﺣ
درﻮﻣ ﻲﺳرﺮﺑ راﺮﻗ ﻪﺘﻓﺮﮔ
ﻦﻴﻨﭽﻤﻫ
، ﺎﺑ ﻪﺴﻳﺎﻘﻣ ﺞﻳﺎﺘﻧ
ﻞﺘﻧاﺮﭘ ﻲﮕﺘﻔﺷآ ) 85
لﺪﻣ ،مود ﻪﺒﺗﺮﻣ لﺪﻣ ،ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ ،يا يﺮﺒﺟ يﺎﻫ
-
rbulent Prandtl cooling flow
, M. Rajabi Zargarabadi
Mech. Eng., Semnan Univ., Semnan, Iran Mech. Eng., Semnan Univ., Semnan, Iran Mech. Eng., Semnan Univ
19111 Semnan, rajabi@semnan.ac.ir
Numerical simulation of turbulent flow and heat transfer in film cooling from a cylindrical hole in three turbulent heat flux term of energy equation
simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches constant value of turbulent Prandtl number is far from reality. In the present study, second
reflection term is applied umerical and experimental moment closure models have more ability to better prediction of temperature
has been investigated.
the near of injection hole to far from it respectively in simulating film cooling heat transfer
common value of 0.85 umber, Second Moment C
mechanics.journals.modares.ac.ir
هرود 12 هرﺎﻤﺷ
رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ
يدﺎﺑﺎﻬﻣ يردﺎﻧ ﻦﺴﺣ ،1
يدﺎﺑآﺮﮔرز ﻲﺒﺟر ناﺮﻬﻣ
نﺎﻨﻤﺳ ،نﺎﻨﻤﺳ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷرا سﺎﻨﺷرﺎﻛ 2 - ﻲﺳﺪﻨﻬﻣ رﺎﻳدﺎﺘﺳا
3 - ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ رﺎﻳدﺎﺘﺳا
،نﺎﻨﻤﺳ قوﺪﻨﺻ ﻲﺘﺴﭘ 19111
نﺎﻳﺮﺟ و لﺎﻘﺘﻧا تراﺮﺣ
ﻪﻟدﺎﻌﻣ يژﺮﻧا ﻂﺳﻮﺗ
ﻲﻣ ﺪﻫد ضﺮﻓ دﺪﻋ
يزﺎﺳ نﺎﻳﺮﺟ و لﺎﻘﺘﻧا
يﺎﻫ ﻪﺒﺗﺮﻣ مود يﺮﺒﺟ
ﻞﺘﻧاﺮﭘ ﻲﮕﺘﻔﺷآ درﻮﻣ
هﺪﻣآ ﺖﺳا . ﻦﻴﻨﭽﻤﻫ
ﺶﻴﭘ ضﺮﻓ دﺪﻋ ﻞﺘﻧاﺮﭘ
لﺪﻣ ،مود ﻪﺒﺗﺮﻣ لﺪﻣ ،ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ ،يا
Prandtl cooling flow
Zargarabadi
Mech. Eng., Semnan Univ., Semnan, Iran Mech. Eng., Semnan Univ., Semnan, Iran
, Semnan Univ., Semnan, Iran rajabi@semnan.ac.ir
Numerical simulation of turbulent flow and heat transfer in film cooling from a cylindrical hole in three turbulent heat flux term of energy equation
simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches constant value of turbulent Prandtl number is far from reality. In the present study, second is applied for modeling the turbulent flow and heat transfer in
experimental results moment closure models have more ability to better prediction of temperature field
. The range of this parameter for the desired geometry the near of injection hole to far from it respectively
in simulating film cooling heat transfer common value of 0.85.
Closure Models
رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ
يدﺎﺑﺎﻬﻣ يردﺎﻧ ﻦﺴﺣ
1 - نﺎﻨﻤﺳ ،نﺎﻨﻤﺳ هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷرا سﺎﻨﺷرﺎﻛ
2 3
*
،نﺎﻨﻤﺳ
ﻪﻴﺒﺷ يزﺎﺳ يدﺪﻋ نﺎﻳﺮﺟ
ﻲﺗراﺮﺣ ﻪﺘﻔﺷآ ﻪﻟدﺎﻌﻣ
تﺎﻘﻴﻘﺤﺗ نﺎﺸﻧ ﻲﻣ
هراﻮﻳد ﻪﺑ لﺪﻣ يزﺎﺳ
ﺪﻫد ﻪﻛ لﺪﻣ يﺎﻫ
ﻪﻣادا تاﺮﻴﻴﻐﺗ دﺪﻋ ﻞﺘﻧاﺮﭘ
ﻲﻜﻳدﺰﻧ نآ
، ﻪﺑ ﺖﺳد هﺪﻣآ
ﻦﻳﺰﮕﻳﺎﺟ راﺪﻘﻣ ﺞﻳار ﺶﻴﭘ
لﺪﻣ ،مود ﻪﺒﺗﺮﻣ لﺪﻣ ،ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ ،يا
Prandtl number
Zargarabadi2*, M. Biglari
Mech. Eng., Semnan Univ., Semnan, Iran Mech. Eng., Semnan Univ., Semnan, Iran
., Semnan, Iran rajabi@semnan.ac.ir
Numerical simulation of turbulent flow and heat transfer in film cooling from a cylindrical hole in three turbulent heat flux term of energy equation
simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches constant value of turbulent Prandtl number is far from reality. In the present study, second modeling the turbulent flow and heat transfer in
results show that the field in film cooling
range of this parameter for the desired geometry the near of injection hole to far from it respectively. Finally
in simulating film cooling heat transfer, Models, Explicit Algebraic
ﺶﻴﭘ ﺑ ﻲﻨﻴ رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ
يدﺎﺑﺎﻬﻣ يردﺎﻧ ﻦﺴﺣ
ﻦﻳا ﻖﻴﻘﺤﺗ
، ﻪﻴﺒﺷ
هﺪﺷ ﺖﺳا . رﺎﺷ ﻲﺗراﺮﺣ
ﻲﻟﺎﺣ ﺖﺳا ﻪﻛ تﺎﻘﻴﻘﺤﺗ
هاﺮﻤﻫ ﺢﻴﺤﺼﺗ هراﻮﻳد
ﻲﺑﺮﺠﺗ نﺎﺸﻧ ﻲﻣ ﺪﻫد
يا ﺪﻧراد . رد ﻪﻣادا
95 / 0 رد ﻲﻜﻳدﺰﻧ
، ﻪﺑ ناﻮﻨﻋ ﻦﻳﺰﮕﻳﺎﺟ
ﻚﻨﺧ ﻪﻳﻻ يرﺎﻛ لﺪﻣ ،مود ﻪﺒﺗﺮﻣ لﺪﻣ ،ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ ،يا
umber in film
, M. Biglari
Numerical simulation of turbulent flow and heat transfer in film cooling from a cylindrical hole in three turbulent heat flux term of energy equation is usually modeled simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches
constant value of turbulent Prandtl number is far from reality. In the present study, second modeling the turbulent flow and heat transfer in
show that the explicit algebraic film cooling. In addition
range of this parameter for the desired geometry Finally, in order to enhance , the value of 0.7 has Algebraic Models
ﺶﻴﭘ
هﺪﻴﻜﭼ - رد ﻦﻳا
ﻪﺳ يﺪﻌﺑ مﺎﺠﻧا هﺪﺷ
ﻲﻣ دﻮﺷ . ﻦﻳا رد ﻲﻟﺎﺣ
ﻪﺒﺗﺮﻣ مود ﻪﺑ هاﺮﻤﻫ
يدﺪﻋ ﺎﺑ ﺮﻳدﺎﻘﻣ ﻲﺑﺮﺠﺗ
ﻚﻨﺧ يرﺎﻛ ﻪﻳﻻ يا
خارﻮﺳ ﺎﺗ دوﺪﺣ 95
،هدﺎﺳ راﺪﻘﻣ 7 / 0
،
ﺪﻴﻠﻛ ﺎﮔژاو ن : ﻚﻨﺧ
film
Numerical simulation of turbulent flow and heat transfer in film cooling from a cylindrical hole in three- is usually modeled by simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches constant value of turbulent Prandtl number is far from reality. In the present study, second modeling the turbulent flow and heat transfer in algebraic second addition, turbulent range of this parameter for the desired geometry
in order to enhance the value of 0.7 has been
هﺪﻴﻜﭼ ﻪﺳ ﻲﻣ ﻪﺒﺗﺮﻣ يدﺪﻋ ﻚﻨﺧ خارﻮﺳ
،هدﺎﺳ ﺪﻴﻠﻛ
- by simple eddy diffusivity model with constant turbulent Prandtl number, while experimental and numerical researches constant value of turbulent Prandtl number is far from reality. In the present study, second modeling the turbulent flow and heat transfer in second urbulent range of this parameter for the desired geometry in order to enhance been
[ Downloaded from mme.modares.ac.ir on 2022-10-31 ]
ﺶﻴﭘ دﺪﻋ ﻲﻨﻴﺑ ﻚﻨﺧ نﺎﻳﺮﺟ رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ
يرﺎﻛ ...
يدﺎﺑﺎﻬﻣ يردﺎﻧ ﻦﺴﺣ و
رﺎﻜﻤﻫ نا
70
سر
ةرود 12 ةرﺎﻤﺷ 4 ، نﺎﺑآ 1391
1 - ﻪﻣﺪﻘﻣ
زا ﻲﻜﻳ شور ﻦﻴﺑرﻮﺗ نﺎﻣﺪﻧار ندﺮﺑﻻﺎﺑ يﺎﻫ ﺎﻣد ﺶﻳاﺰﻓا زﺎﮔ يﺎﻫ
ي
زﺎﮔ قاﺮﺘﺣا ﻪﻈﻔﺤﻣ رد ﺖﺳا
. قاﺮﺘﺣا ﻪﻈﻔﺤﻣ رد ﺎﻣد ﺶﻳاﺰﻓا
ﺶﻳاﺰﻓا ﻪﺑ ﺮﺠﻨﻣ يدورو يﺎﻣد
ﻲﻣ ﻦﻴﺑرﻮﺗ ﻮﺷ
د . ﺎﻣد يدورو رد
ﺎﺗ ﻲﺘﺣ ﻦﻴﺑرﻮﺗ دوﺪﺣ
2400 ﻲﻣ ﻻﺎﺑ ﻦﻳﻮﻠﻛ ﻪﺟرد رد ﻦﻳا و دور
هﺮﭘ و قاﺮﺘﺣا ﻪﻈﻔﺤﻣ ﻪﻛ ﺖﺳا ﻲﻟﺎﺣ ﻞﻤﺤﺗ ﻲﻳﺎﻧاﻮﺗ ﻦﻴﺑرﻮﺗ يﺎﻫ
ﻦﻴﻨﭼ ﻲﻳﺎﻣد ﺪﻧراﺪﻧ ار . ياﺮﺑ ﺶﻳاﺰﻓا و ﺮﻤﻋ دﺮﻛرﺎﻛ لﻮﺒﻗ ﻞﺑﺎﻗ
ﻦﻴﺑرﻮﺗ هﺮﭘ ﺖﺤﺗ
يﺎﻫرﺎﺑ ﻲﺗراﺮﺣ
، دﻮﺒﻬﺑ ﺮﺑ هوﻼﻋ ﺖﻴﻓﺮﻇ
ﻲﺗراﺮﺣ ﻮﻣ ﺶﺷﻮﭘ زا هدﺎﻔﺘﺳا و دا يﺎﻫ
ﻲﺗراﺮﺣ ﻚﻴﻨﻜﺗ ، يﺎﻫ ﺮﺛﻮﻣ
ﻚﻨﺧ يرﺎﻛ ﺰﻴﻧ ﻲﻣ ﺖﺴﻳﺎﺑ دﺮﻴﮔ راﺮﻗ هدﺎﻔﺘﺳا درﻮﻣ .
ﻚﻨﺧ يرﺎﻛ
ﻪﻳﻻ شور زا ﻲﻜﻳ يا ﻚﻨﺧ لواﺪﺘﻣ و ﺮﺛﻮﻣ يﺎﻫ
ﻦﻴﺑرﻮﺗ هﺮﭘ يرﺎﻛ
ﻲﻣ ﺪﺷﺎﺑ . شور ﻦﻳا رد
، ﻦﻴﺑ ﻚﻨﺧ ﻪﻳﻮﻧﺎﺛ لﺎﻴﺳ ﻪﻳﻻ ﻚﻳ دﺎﺠﻳا ﺎﺑ
نآ روﺎﺠﻣ غاد يﺎﻫزﺎﮔ و ﺢﻄﺳ
، زا ﺢﻄﺳ ﺖﻈﻓﺎﺤﻣ ﺮﺑ هوﻼﻋ
ﺶﻫﺎﻛ ﺰﻴﻧ يزﺮﻣ ﻪﻳﻻ ﻂﺳﻮﺘﻣ يﺎﻣد ،غاد يﺎﻫزﺎﮔ ﻲﻣ
ﺑﺎﻳ ﺪ 1] . [
ﻚﻨﺧ ﻪﻳﻻ يرﺎﻛ يا
ﻲﻜﻳ زا لواﺪﺘﻣ شور ﻦﻳﺮﺗ ﻚﻨﺧ يﺎﻫ
يرﺎﻛ
ﻦﻴﺑرﻮﺗ هﺮﭘ ﻦﻳا رد يرﺎﻴﺴﺑ يدﺪﻋ و ﻲﺑﺮﺠﺗ تﺎﻘﻴﻘﺤﺗ و هدﻮﺑ
هﺪﺷ مﺎﺠﻧا ﻪﻨﻴﻣز ﺖﺳا
.
ﺮﺘﺸﻴﺑ رد يدﺪﻋ تﺎﻘﻴﻘﺤﺗ
لﺪﻣ زا ، ياﺮﺑ لوا ﻪﺒﺗﺮﻣ يﺎﻫ
ﺶﻴﭘ ﻪﺘﻔﺷآ تراﺮﺣ لﺎﻘﺘﻧا و نﺎﻳﺮﺟ ﻲﻨﻴﺑ ﻚﻨﺧ رد
ﻪﻳﻻ يرﺎﻛ يا
هﺪﺷ هدﺎﻔﺘﺳا ﺖﺳا
. گﺮﺑدﺮﺑ 2] ﻪﻴﺒﺷ ﺎﺑ[ رد نﺎﻳﺮﺟ يدﺪﻋ يزﺎﺳ
ﻚﻨﺧ ياﺮﺠﻣ ﻞﺧاد لﺪﻣ زا هدﺎﻔﺘﺳا ﺎﺑ هﺮﭘ يرﺎﻛ
ﻲﮕﺘﻔﺷآ يﺎﻫ
مود ﻪﺒﺗﺮﻣ لﺪﻣ و لوا ﻪﺒﺗﺮﻣ ﻛ داد نﺎﺸﻧ ،1
لﺪﻣ ﻪ لوا ﻪﺒﺗﺮﻣ يﺎﻫ
ﺶﻴﭘ ﻪﺑ ردﺎﻗ ﺎﺑ هاﺮﻤﻫ نﺎﻳﺮﺟ رد تراﺮﺣ لﺎﻘﺘﻧا ﺢﻴﺤﺻ ﻲﻨﻴﺑ
ﺪﻨﺘﺴﻴﻧ ﻲﻳاﺪﺟ .
نارﺎﻜﻤﻫ و يداﻮﺟ 3]
لﺪﻣ ﻪﺑ ﺮﮕﻳد ﻲﻘﻴﻘﺤﺗ رد [ يزﺎﺳ
ﺶﻨﺗ ﻚﻨﺧ نﺎﻳﺮﺟ رد زﺪﻟﻮﻨﻳر يﺎﻫ ﻪﻳﻻ يرﺎﻛ
زا هدﺎﻔﺘﺳا ﺎﺑ يا
ﺞﻳﺎﺘﻧ ﻪﻛ ﺪﻧﺪﻴﺳر ﻪﺠﻴﺘﻧ ﻦﻳا ﻪﺑ و ﺪﻨﺘﺧادﺮﭘ مود ﻪﺒﺗﺮﻣ لﺪﻣ ﻪﻴﺒﺷ ﻖﻴﻗد رﺎﻴﺴﺑ مود ﻪﺒﺗﺮﻣ يدﺪﻋ يزﺎﺳ ﺪﻣ زا ﺮﺗ
ل ﻪﺒﺗﺮﻣ يﺎﻫ
ﻚﻳدﺰﻧ ﻲﺑﺮﺠﺗ ﺮﻳدﺎﻘﻣ ﻪﺑ و هدﻮﺑ لوا ﻲﻣ ﺮﺗ
ﺪﺷﺎﺑ . و ﻲﻠﻳﺪﻤﻧ
نارﺎﻜﻤﻫ 4]
رد نﺎﻳﺮﺟ مود ﻪﺒﺗﺮﻣ ﻲﮕﺘﻔﺷآ لﺪﻣ ﻲﺳرﺮﺑ ﻪﺑ [
لﺪﻣ ﻚﻨﺧ يزﺎﺳ ﻪﻳﻻ يرﺎﻛ
ﺪﻨﺘﺧادﺮﭘ ﻦﻴﺑرﻮﺗ هﺮﭘ يا .
نآ نﺎﺸﻧ ﺎﻫ
ﺎﺑ ﻲﺑﻮﺧ ﺖﻘﺑﺎﻄﻣ ،مود ﻪﺒﺗﺮﻣ ﻲﮕﺘﻔﺷآ لﺪﻣ ﺞﻳﺎﺘﻧ ﻪﻛ ﺪﻧداد ﻲﻟﺎﺣ رد دراد ﻲﻫﺎﮕﺸﻳﺎﻣزآ ﺮﻳدﺎﻘﻣ رد لوا ﻪﺒﺗﺮﻣ لﺪﻣ ﻪﻛ
ﺶﻴﭘ ﻚﻨﺧ ﻲﺒﻧﺎﺟ ﻊﻳزﻮﺗ ﻲﻨﻴﺑ ﻪﻳﻻ يرﺎﻛ
ﺖﺳا ناﻮﺗﺎﻧ يا .
رد
ﻚﻨﺧ ﻪﻨﻴﻣز رد يدﺪﻋ تﺎﻘﻴﻘﺤﺗ ﻲﺧﺮﺑ ﻪﻳﻻ يرﺎﻛ
شور ،يا
1. Second moment closure
ﻴﺒﺷ ﻪ ﻢ ﻴﻘﺘﺴﻣ يدﺪﻋ يزﺎﺳ ]2
5 ﻪﻴﺒﺷ و [ ﻪﺑادﺮﮔ يزﺎﺳ يا
3گرﺰﺑ 6] ﻪﺑ [ هﺪﺷ ﻪﺘﻓﺮﮔ رﺎﻛ ﺖﺳا
. شور ﺎﻫ ي ﻢﻴﻘﺘﺴﻣ يدﺪﻋ
ﻖﻴﻗد شور زا ﺮﺗ ﺎﻨﺒﻣ ﺮﺑ يﺎﻫ
ﻂﺳﻮﺘﻣ تﻻدﺎﻌﻣ ي هﺪﺷ يﺮﻴﮔ
ﺮﻳوﺎﻧ - ﺲﻛﻮﺘﺳا ﻲﻣ4
ﺪﻨﺷﺎﺑ
، ﻲﻳﻻﺎﺑ رﺎﻴﺴﺑ ﻲﺗﺎﺒﺳﺎﺤﻣ ﻪﻨﻳﺰﻫ ﻲﻟو
ﺪﻧراد . ﻂﺳﻮﺘﻣ تﻻدﺎﻌﻣ زا ،ﻞﻴﻟد ﻦﻴﻤﻫ ﻪﺑ ناﻮﻨﻋ ﻪﺑ هﺪﺷ يﺮﻴﮔ
ﻲﻣ هدﺎﻔﺘﺳا ﻲﺳﺪﻨﻬﻣ يﺎﻫدﺮﺑرﺎﻛ رد ﺐﻟﺎﻏ شور دﻮﺷ
.
لﺪﻣ ﻪﻨﻴﻣز رد يزﺎﺳ
ﻪﻠﻤﺟ ﻪﻟدﺎﻌﻣ رد ﻪﺘﻔﺷآ ﻲﺗراﺮﺣ رﺎﺷ
ﻪﺑادﺮﮔ ﺶﺨﭘ لﺪﻣ ﺎﺒﻟﺎﻏ ،يژﺮﻧا ﻮﻟرﺎﻫو ﻲﻟاد هدﺎﺳ يا
7] ضﺮﻓ ﺎﺑ[
ﻪﺑ ﺖﺑﺎﺛ ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ ﺖﺳا ﻪﺘﻓر رﺎﻛ
لﺪﻣ ﻦﻳا رد .
، ﺎﺑ
ﺮﻟﺎﻜﺳا ﺖﻴﻤﻛ ﺮﻫ ﻪﺘﻔﺷآ رﺎﺷ ،نﺎﻳداﺮﮔ ﺶﺨﭘ ضﺮﻓ زا هدﺎﻔﺘﺳا ﺖﻴﻤﻛ نآ ﻂﺳﻮﺘﻣ ﺮﻳدﺎﻘﻣ نﺎﻳداﺮﮔ ﺐﺴﺣ ﺮﺑ ﺖﻬﺟ ﺮﻫ رد رد
ﻲﻣ ﻪﺒﺳﺎﺤﻣ ﺖﻬﺟ نﺎﻤﻫ دﻮﺷ
8] .[ لﺪﻣ ﻦﻳا
، ﺮﻈﻧرد ﻞﻴﻟد ﻪﺑ
ﺎﻳداﺮﮔ ﺶﺨﭘ ضﺮﻓ ﻦﺘﻓﺮﮔ ن
) ﻢﻫ آ ﻲﺗراﺮﺣ رﺎﺷ ندﻮﺑ ﺖﻬﺟ ﻪﺘﻔﺷ
ﺎﻣد نﺎﻳداﺮﮔ ﺎﺑ (
ﺖﺑﺎﺛ ضﺮﻓ و ﺐﻳﺮﻘﺗ ،ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ ندﻮﺑ
ﻲﻔﻴﻌﺿ رﺎﻴﺴﺑ لﺪﻣ رد
ﻪﺑ ﻪﺘﻔﺷآ ﻲﺗراﺮﺣ رﺎﺷ يزﺎﺳ رﺎﻤﺷ
ﻲﻣ ﺪﻳآ 9] .[ لﺪﻣ ياﺮﺑ ﺑ يزﺎﺳ
ﺮ راد
،ﻪﺘﻔﺷآ ﻲﺗراﺮﺣ رﺎﺷ لﺪﻣ
ﻒﻠﺘﺨﻣ يﺎﻫ
يﺮﺒﺟ مود ﻪﺒﺗﺮﻣ -
نآ ﻲﻳﺎﻧاﻮﺗ ﻪﻛ دراد دﻮﺟو ﺢﻳﺮﺻ رد ﺎﻫ
ﺶﻴﭘ نﺎﻳﺮﺟ رد تراﺮﺣ لﺎﻘﺘﻧا ﻲﻨﻴﺑ ﺪﻨﻧﺎﻣ ﻲﺳﺪﻨﻬﻣ هﺪﻴﭽﻴﭘ يﺎﻫ
رد نﺎﻳﺮﺟ لﺎﻧﺎﻛ
ﻞﻜﺷU 10] ﻚﻨﺧ ،[ يدرﻮﺧﺮﺑ يرﺎﻛ 11]
و [
ﻚﻨﺧ ﻪﻳﻻ يرﺎﻛ يا
12] ﻪﺑ [ ﺖﺳا هﺪﻴﺳر تﺎﺒﺛا .
زا ﻲﻜﻳ رد
ﻦﻳﺮﺗﺪﻳﺪﺟ ﻚﻨﺧ ﻪﻨﻴﻣز رد تﺎﻘﻴﻘﺤﺗ
ﻪﻳﻻ يرﺎﻛ ﻲﺒﺟر ،يا
ﻲﻧاﺮﻬﺗ يﺪﻳدزﺎﺑ و يدﺎﺑآﺮﮔرز 13]
ﺶﻨﺗ مود ﻪﺒﺗﺮﻣ لﺪﻣ زا [ يﺎﻫ
ﺪﻟﻮﻨﻳر
5ز و زﺮﺟار ﻲﻨﻤﺿ يﺮﺒﺟ مود ﻪﺒﺗﺮﻣ لﺪﻣ و
نارﺎﻜﻤﻫ 14]
ﺶﻴﭘ ياﺮﺑ [ آ تراﺮﺣ لﺎﻘﺘﻧا و نﺎﻳﺮﺟ ﻲﻨﻴﺑ
ﺷ ﻪﺘﻔ
ﻚﻨﺧ رد ﻪﻳﻻ يرﺎﻛ
ﺪﻧدﺮﻛ هدﺎﻔﺘﺳا يا .
نآ ﻪﻛ ﺪﻧداد نﺎﺸﻧ ﺎﻫ
ﺐﻴﻛﺮﺗ لﺪﻣ ود ﻦﻳا
، ﻪﺑادﺮﮔ ﺶﺨﭘ لﺪﻣ ﺎﺑ ﻪﺴﻳﺎﻘﻣ رد هدﺎﺳ يا
،6
دراد ﻲﺑﺮﺠﺗ ﺞﻳﺎﺘﻧ ﺎﺑ ﻲﺑﻮﺧ رﺎﻴﺴﺑ ﺖﻘﺑﺎﻄﻣ .
ﻪﺑ ﺖﻠﻋ ﻪﻓﺮﺻ ،دﺮﺑرﺎﻛ رد ﻲﺘﺣار و تﺎﺒﺳﺎﺤﻣ ﻪﻨﻳﺰﻫ رد ﻲﻳﻮﺟ
مﺮﻧ رد هدﺎﻔﺘﺳا ﺖﻴﻠﺑﺎﻗ ،ﻲﺗﺎﺒﺳﺎﺤﻣ تﻻﺎﻴﺳ ﻚﻴﻣﺎﻨﻳد يﺎﻫراﺰﻓا
ﻪﺑادﺮﮔ ﺶﺨﭘ لﺪﻣ زا هدﺎﻔﺘﺳا ﻚﻨﺧ رد هدﺎﺳ يا
ﻪﻳﻻ يرﺎﻛ يا
ﺞﻳار ﻲﻣ ﺪﺷﺎﺑ . ﻲﻣ لﺪﻣ ﻦﻳا ﺖﻗد ندﺮﺑﻻﺎﺑ ﻪﺑ ﻚﻤﻛ ﺪﻧاﻮﺗ
ﻚﻤﻛ
ﻪﻴﺒﺷ ﻪﺑ ﻲﻧﺎﻳﺎﺷ ﻚﻨﺧ يدﺪﻋ يزﺎﺳ
ﻪﻳﻻ يرﺎﻛ ﺪﻳﺎﻤﻧ يا
. ﻦﻳا رد
2. Direct numerical simulation 3. Large eddy simulation
4. Reynolds averaged Navier-Stokes (RANS) 5. Reynolds stress model (RSM)
6. Simple eddy diffusivity (SED)
[ Downloaded from mme.modares.ac.ir on 2022-10-31 ]
ﺶﻴﭘ دﺪﻋ ﻲﻨﻴﺑ ﻚﻨﺧ نﺎﻳﺮﺟ رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ
يرﺎﻛ ...
يدﺎﺑﺎﻬﻣ يردﺎﻧ ﻦﺴﺣ و
رﺎﻜﻤﻫ نا
سر
ةرود 12 ةرﺎﻤﺷ 4 ، نﺎﺑآ
1391
71
نﺎﺸﻧ تﺎﻘﻴﻘﺤﺗ ﻪﻨﻴﻣز ﻲﻣ
ﻫد ﻞﺘﻧاﺮﭘ دﺪﻋ زا هدﺎﻔﺘﺳا ﻪﻛ ﺪ
ﺶﻴﭘ رد ﻲﻳاﺰﺴﺑ ﺮﻴﺛﺎﺗ ﺮﻴﻐﺘﻣ ﻲﮕﺘﻔﺷآ ﺮﺘﻬﺑ ﻪﭼ ﺮﻫ ﻲﻨﻴﺑ
ﻣارﺎﭘ ناﻮﻨﻋ ﻪﺑ ،ﻪﺘﻔﺷآ ﻲﺗراﺮﺣ رﺎﺷ تاﺮﺛا رد راﺬﮔﺮﻴﺛﺎﺗ يﺮﺘ
ﻚﻨﺧ ﻪﻳﻻ يرﺎﻛ دراد يا
12،13] .[
نﺎﻤﻫ ﻲﻜﻳ ،ﺪﻳدﺮﮔ هرﺎﺷا ﻪﻛ رﻮﻃ زا
شور لﺪﻣ حﻼﺻا يﺎﻫ
ﻪﺑادﺮﮔ ﺶﺨﭘ يا
رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ ﺢﻴﺤﺼﺗ ، يﺎﻫدﺮﺑرﺎﻛ
ﻲﺳﺪﻨﻬﻣ ﻒﻠﺘﺨﻣ ﺖﺳا
. نارﺎﻜﻤﻫ و ﻮﻴﻟ 15]
لﺪﻣ دﺎﻬﻨﺸﻴﭘ ﺎﺑ [
ﺶﻴﭘ ﻪﺑ ،ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ ﻚﻨﺧ رد ﻲﺸﺨﺑﺮﺛا ﻲﻨﻴﺑ
ﻪﻳﻻ يرﺎﻛ يا
ﺮﻴﺛﺎﺗ ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ ﺢﻴﺤﺼﺗ ﻪﻛ ﺪﻧداد نﺎﺸﻧ و ﻪﺘﺧادﺮﭘ ﺶﻴﭘ رد ﻲﻬﺟﻮﺗ ﻞﺑﺎﻗ دراد ﻲﺸﺨﺑﺮﺛا ﻲﻨﻴﺑ
. ﺮﮕﻳد رد ﺎﻘﻴﻘﺤﺗ
ت
] 16 - 19 [ نﺎﻳﺮﺟ رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ ﺰﻴﻧ ﺎﺑ ﻒﻠﺘﺨﻣ يﺎﻫ
لﺪﻣ دﺎﻬﻨﺸﻴﭘ و ﻪﺘﻓﺮﮔ راﺮﻗ ﻲﺳرﺮﺑ درﻮﻣ ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ يﺎﻫ
هدوﺪﺤﻣ ﺺﺨﺸﻣ نآ تاﺮﻴﻴﻐﺗ ﺖﺳا هﺪﺷ
.
رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ يﻻﺎﺑ ﺖﻴﻤﻫا ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ
لﺪﻣ ﺗراﺮﺣ رﺎﺷ يزﺎﺳ ﻲ
ﺖﻗد ﺶﻳاﺰﻓا رد نآ ﺮﻴﺛﺎﺗ و ﻪﺘﻔﺷآ
ﻲﺗﺎﺒﺳﺎﺤﻣ
، نﺎﻳﺮﺟ رد نآ تاﺮﻴﻴﻐﺗ هﻮﺤﻧ و هدوﺪﺤﻣ ﺖﺳا مزﻻ
ﻚﻨﺧ ﻪﻳﻻ يرﺎﻛ ددﺮﮔ ﻲﺳرﺮﺑ يا
. يﻻﺎﺑ ﺖﻴﻠﺑﺎﻗ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ
لﺪﻣ مود ﻪﺒﺗﺮﻣ يﺎﻫ ﺶﻴﭘ رد
ﻲﻨﻴﺑ ﻪﻔﻟﻮﻣ اﺬﮔﺮﻴﺛﺎﺗ يﺎﻫ رد ر
ﻪﺘﻔﺷآ تراﺮﺣ لﺎﻘﺘﻧا و نﺎﻳﺮﺟ
، هدﺎﻔﺘﺳا زا لﺪﻣ ﻦﻳا ﻲﻣ ﺎﻫ ﻧاﻮﺗ ﺪ
ﻪﺑ ﻲﻧﺎﻳﺎﺷ ﻚﻤﻛ حﻼﺻا
و هدوﺪﺤﻣ ﻞﺘﻧاﺮﭘ دﺪﻋ تاﺮﻴﻴﻐﺗ هﻮﺤﻧ
ﺪﻳﺎﻤﻧ ﻲﮕﺘﻔﺷآ .
ﻦﻳا زا ﺮﺿﺎﺣ ﻖﻴﻘﺤﺗ رد ور زا
لﺪﻣ يﺎﻫ ﻪﺒﺗﺮﻣ
مود رد ﺶﻴﭘ ﻲﻨﻴﺑ لﺎﻘﺘﻧا و نﺎﻳﺮﺟ تاراﺮﺣ
ﻚﻨﺧ رد ﻪﺘﻔﺷآ يرﺎﻛ
ﻪﻳﻻ يا هدﺎﻔﺘﺳا هﺪﺷ و لﺪﻣ ﻪﺘﻔﺷآ ﻲﺗراﺮﺣ رﺎﺷ مود ﻪﺒﺗﺮﻣ يﺎﻫ
لﺪﻣ ﺎﺑ درﻮﻣ دﻮﺟﻮﻣ ﻲﺑﺮﺠﺗ ﺮﻳدﺎﻘﻣ و لوا ﻪﺒﺗﺮﻣ ﺞﻳار يﺎﻫ
ﺖﺳا ﻪﺘﻓﺮﮔ راﺮﻗ ﻪﺴﻳﺎﻘﻣ .
ﻪﻣادا رد
، ﻞﺘﻧاﺮﭘ دﺪﻋ ﻪﺒﺳﺎﺤﻣ ﻦﻤﺿ
،ﻲﮕﺘﻔﺷآ تاﺮﻴﻴﻐﺗ
ﻒﻠﺘﺨﻣ ﻊﻃﺎﻘﻣ رد ﺖﻴﻤﻛ ﻦﻳا ﻚﻨﺧ رد
يرﺎﻛ
ﻪﻳﻻ ﻲﺳرﺮﺑ يا و هﺪﻳدﺮﮔ
ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ دﺪﻋ راﺪﻘﻣ نﺎﻳﺎﭘ رد رد
ﻚﻨﺧ يرﺎﻛ ﺖﺳا هﺪﺷ حﻼﺻا .
2 - يزﺮﻣ ﻂﻳاﺮﺷ و ﻪﺳﺪﻨﻫ
ﻖﻴﻘﺤﺗ ﻦﻳا رد ﻲﺳرﺮﺑ درﻮﻣ ﻪﺳﺪﻨﻫ ﺎﺑ ﻖﺑﺎﻄﻣ
ﻲﻠﻫﻮﻛ ﻲﺑﺮﺠﺗ رﺎﻛ
درﺎﮔﻮﺑ و 20] ود ﻞﻣﺎﺷ ﻪﻛ ﺖﺳا[ ﺖﻤﺴﻗ
و ﻲﻠﺻا نﺎﻳﺮﺟ لﺎﻧﺎﻛ
ﻚﻨﺧ لﺎﻴﺳ ﻖﻳرﺰﺗ خارﻮﺳ هﺪﻨﻨﻛ
ﺖﺳا . ﻞﻜﺷ رد ﻪﺳﺪﻨﻫ ﻦﻳا 1
نﺎﺸﻧ ﺖﺳا هﺪﺷ هداد .
نﺎﻳﺮﺟ ﻲﻠﺻا لﺎﻧﺎﻛ ﻪﺑ ﻲﻠﻴﻄﺘﺴﻣ ﺐﻌﻜﻣ
دﺎﻌﺑا 5D / 1
× 10D
× 1D / 58 ﺖﺳا . ﻞﺤﻣ رد خارﻮﺳ ﺰﻛﺮﻣ ﻪﻠﺻﺎﻓ
نﺎﻳﺮﺟ ﺖﺳدﻻﺎﺑ زا ،نﺎﻳﺮﺟ ﻲﻠﺻا ﺮﺒﻌﻣ هراﻮﻳد ﺎﺑ ﻊﻃﺎﻘﺗ 1
/ 22 ﺎﺗ و ﻦﻴﻳﺎﭘ
نﺎﻳﺮﺟ ﺖﺳد 35
ﻲﻣ ﻖﻳرﺰﺗ خارﻮﺳ ﺮﻄﻗ هزاﺪﻧا ﺮﺑاﺮﺑ ﺪﺷﺎﺑ
.
ﻖﻳرﺰﺗ ﻪﻳواز 35
ﻖﻳرﺰﺗ خارﻮﺳ ﺮﻄﻗ ،ﻪﺟرد 1
/ 11 ﻲﻠﻴﻣ و ﺮﺘﻣ
خارﻮﺳ لﻮﻃ 4
ا ﺮﺑاﺮﺑ ﻲﻣ نآ ﺮﻄﻗ هزاﺪﻧ ﺪﺷﺎﺑ
.
هراﻮﻳد لﺎﻧﺎﻛ ﻲﻧﺎﺘﺤﺗ نﺎﻳﺮﺟ
ﻲﻠﺻا خارﻮﺳ و ﻖﻳرﺰﺗ ترﻮﺻ ﻪﺑ
ﻚﻴﺗﺎﺑﺎﻳدآ ضﺮﻓ
هﺪﺷ ﺪﻧا . ﻲﺒﻧﺎﺟ حﻮﻄﺳ لﺎﻧﺎﻛ
حﻮﻄﺳ نرﺎﻘﺗ
ﻲﻣ ﺪﻨﺷﺎﺑ و ﺢﻄﺳ نرﺎﻘﺗ ناﻮﻨﻋ ﻪﺑ ﺰﻴﻧ خارﻮﺳ طﺮﺷ
نرﺎﻘﺗ يزﺮﻣ
ﻒﻳﺮﻌﺗ هﺪﺷ ﺖﺳا . رد يدورو لﺎﻧﺎﻛ نﺎﻳﺮﺟ
،ﻲﻠﺻا زا طﺮﺷ يزﺮﻣ
ﺖﻋﺮﺳ هدﺎﻔﺘﺳا هﺪﺷ و راﺪﻘﻣ نآ رد يدورو ﺑ ﻪ ترﻮﺻ ﻚﻳ
ﻞﻴﻓوﺮﭘ ﺖﺧاﻮﻨﻜﻳ و
ﺮﺑاﺮﺑ ﺎﺑ 10 هﺪﺷ ﻪﺘﻓﺮﮔ ﺮﻈﻧرد ﻪﻴﻧﺎﺛ ﺮﺑ ﺮﺘﻣ
ﺖﺳا . يدورو خارﻮﺳ رﺰﺗ ﻳ ﻖ طﺮﺷ يزﺮﻣ ﺖﻋﺮﺳ و ﺮﺑاﺮﺑ ﺎﺑ 8 / 3
ﻪﻴﻧﺎﺛ ﺮﺑ ﺮﺘﻣ ﻲﻣ
ﺪﺷﺎﺑ . تﺪﺷ ﻲﮕﺘﻔﺷآ نﺎﻳﺮﺟ دازآ ﺮﺑاﺮﺑ ﺎﺑ 6 / 0
ﺪﺻرد و ﺖﺒﺴﻧ ﺶﻣد ﺮﺑاﺮﺑ ﺎﺑ 4 / 0 و ﻲﻠﻫﻮﻛ لﺪﻣ ﻖﺒﻃ ،
درﺎﮔﻮﺑ 20] ﺖﺳا[ .
ﻞﻜﺷ 1 ﻨﻫ ﻞﺣ ناﺪﻴﻣ ﻪﺳﺪ
3 - ﻢﻛﺎﺣ تﻻدﺎﻌﻣ
3 - 1 - ﻪﺘﻔﺷآ نﺎﻳﺮﺟ تﻻدﺎﻌﻣ
هﺪﻴﭽﻴﭘ رﺎﻴﺴﺑ مود ﻪﺒﺗﺮﻣ لﺪﻣ ﻲﻠﻛ ﻞﻜﺷ لﺪﻣ زا ﺮﺗ
ﻪﺒﺗﺮﻣ يﺎﻫ
ﻲﻣ لوا ﺪﺷﺎﺑ . ﺶﻨﺗ زا ﻚﻳ ﺮﻫ لﺪﻣ ﻦﻳا رد ﺎﺑ زﺪﻟﻮﻨﻳر يﺎﻫ
ﻲﻣ ﻪﺒﺳﺎﺤﻣ لﺎﻘﺘﻧا ﻞﻴﺴﻧاﺮﻔﻳد ﻪﻟدﺎﻌﻣ ﻚﻳ زا هدﺎﻔﺘﺳا ﻪﺑ ﻪﻛ دﻮﺷ
ﻪﺑ ﻚﻴﻠﺒﻤﺳ ترﻮﺻ ﺖﺳا ﺮﻳز ﻞﻜﺷ
21] :[
ﻪﻠﻤﺟ ،ﺪﻴﻟﻮﺗ يﺎﻫ Pij
،ﻲﻟﻮﻜﻟﻮﻣ ﻲﮔﺪﻨﺒﺴﭼ ﺶﺨﭘ و ،
L Dij ، , د ﻲﻣ ﺮﻳز مﺮﻓ ﻪﺑ ﻖﻴﻗد ﺮﻳدﺎﻘﻣ يارا ﺪﻨﺷﺎﺑ
] 21 [.
) 1 (
= ,+ ,+ + −
) 2 ( = − ()
+ ()
) 3 ( , =
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ﺶﻴﭘ دﺪﻋ ﻲﻨﻴﺑ ﻚﻨﺧ نﺎﻳﺮﺟ رد ﻲﮕﺘﻔﺷآ ﻞﺘﻧاﺮﭘ
يرﺎﻛ ...
يدﺎﺑﺎﻬﻣ يردﺎﻧ ﻦﺴﺣ و
رﺎﻜﻤﻫ نا
72
سر
ةرود 12 ةرﺎﻤﺷ 4 ، نﺎﺑآ 1391
ﻪﻠﻤﺟ ،ﻲﮕﺘﻔﺷآ ﺶﺨﭘ يﺎﻫ T
Dij, رﺎﺸﻓ ، -
1ﺶﻧﺮﻛ ij ، و φ
كﻼﻬﺘﺳا
،2
εij
، لﺪﻣ ﻪﺑ زﺎﻴﻧ ﻪﻨﻴﻣز ﻦﻳا رد ﻪﻛ ﺪﻧراد يزﺎﺳ
هﺪﺷ ﻪﺋارا ﻲﻔﻠﺘﺨﻣ تادﺎﻬﻨﺸﻴﭘ ﻪﻛ
نآ نﺎﻴﻣ زا ﻚﻴﻠﺠﻧﺎﻫ لﺪﻣ ﺎﻫ
و رﺪﻧﻻ 21] بﺎﺨﺘﻧا [ ﺖﺳا هﺪﺷ .
ﻪﻠﻤﺟ مﺮﻓ ﻪﺑ ﻲﮕﺘﻔﺷآ ﺶﺨﭘ
لﺪﻣ ﺮﻳز ﻲﻣ يزﺎﺳ دﻮﺷ
.
) 4 ( ,=
(
(
+
+ !"!%#"$
& ))
لﺪﻣ ياﺮﺑ يزﺎﺳ
ﻪﻠﻤﺟ رﺎﺸﻓ - ﺶﻧﺮﻛ ﻪﻄﺑار زا )
5 ( هدﺎﻔﺘﺳا
ﻲﻣ دﻮﺷ ] 21 [:
) 5 ( = ,'+ ,(+ ,)
رد ﻦﻳا ﻪﻄﺑار 1 ، , φij ﻪﻠﻤﺟ رﺎﺸﻓ - ﺪﻨﻛ ﺶﻧﺮﻛ و3
2 , φij
ﻪﻠﻤﺟ ﻊﻳﺮﺳ ﺶﻧﺮﻛ رﺎﺸﻓ ﺖﺳا4
. ﻦﻳا راﺪﻘﻣ ﻪﻠﻤﺟ
ﺎﻫ ﻖﻳﺮﻃ زا
تﻻدﺎﻌﻣ ) 6 ( و ) 7 ( دﻮﺑ ﺪﻫاﻮﺧ ﻪﺒﺳﺎﺤﻣ ﻞﺑﺎﻗ 21]
:[
) 6 ( ,'= '
( − 2 3 , )
) 7 ( ,(= -.(/.
+ /
.)
ﺑ زﺪﻟﻮﻨﻳر ﻲﮕﺘﻔﺷآ لﺪﻣ ﻚﻳ مود ﻪﺒﺗﺮﻣ لﺪﻣ بﻮﺴﺤﻣ ﻻﺎ
ﻲﻣ ﺶﻴﭘ ﻪﺑ ردﺎﻗ ﻪﻛ دﻮﺷ هراﻮﻳد ﻲﻜﻳدﺰﻧ رد نﺎﻳﺮﺟ ﻲﻨﻴﺑ
ﻲﻤﻧ ﺪﺷﺎﺑ . ﻪﻴﺣﺎﻧ رد لﺪﻣ ﻦﻳا شﺮﺘﺴﮔ و ﻞﻜﺸﻣ ﻦﻳا ﻞﺣ ياﺮﺑ
،هراﻮﻳد ﻚﻳدﺰﻧ ﻪﻠﻤﺟ
،لﺎﻘﺘﻧا ﻪﻟدﺎﻌﻣ يﺎﻫ كﻼﻬﺘﺳا ،ε
،ﻚﻴﭘوﺮﺘﻧﺰﻳاﺮﻴﻏ εij
رﺎﺸﻓ و ، - ،ﺶﻧﺮﻛ φij
، ﺪﻧراد حﻼﺻا ﻪﺑ زﺎﻴﻧ .
حﻼﺻا ياﺮﺑ ﻪﻠﻤﺟ
و رﺪﻧﻻ دﺎﻬﻨﺸﻴﭘ زا هراﻮﻳد ﻚﻳدﺰﻧ يﺎﻫ
ﺎﻤﻴﺷ 22] هدﺎﻔﺘﺳا [ هﺪﺷ ﺖﺳا . ﻪﻄﺳاو ﻪﺑ و هراﻮﻳد ﻲﻜﻳدﺰﻧ رد
ﻚﻳدﺰﻧ ﺪﻳﺪﺸﺗ ﻲﭘوﺮﺗوﺰﻳا ﻆﻔﺣ ﻪﺑ ﻞﻳﺎﻤﺗ ،نﺎﻳﺮﺟ ﻚﻳﺰﻴﻓ ﻪﺑ نﺪﺷ
ﻲﻣ و ﺪﺑﺎﻳ w ﻪﻠﻤﺟ
ij, سﺎﻜﻌﻧا ﺎﻳ هراﻮﻳد ﺢﻴﺤﺼﺗ ناﻮﻨﻋ ﻪﺑ ،φ
هراﻮﻳد
، 5
ﻪﺑ ﻪﻠﻤﺟ رﺎﺸﻓ - ﻪﻓﺎﺿا ﺶﻧﺮﻛ ﻲﻣ
دﻮﺷ 21] .[ ,) = 011
345−2
3,456+ 0.4501(45 −(;, ) − 0)<
=> > + > >? (8) ﺮﺑ لﺎﻘﺘﻧا ﻪﻟدﺎﻌﻣ سﺎﺳا ﻦﻳا كﻼﻬﺘﺳا
ﻞﻜﺷ ﻪﺑ ﻪﻄﺑار
) 9 (
دﻮﺑ ﺪﻫاﻮﺧ :
1. Pressure strain 2. Dissipation
3. Slow pressure strain 4. Rapid pressure strain 5. Wall reflection term
) 9 (
= <
+
+ <' +@ − <(<0<̃ + B
نآ رد ﻪﻛ
،ﺪﻴﻟﻮﺗ ﻲﻓﺎﺿا ترﺎﺒﻋ ﺮﮕﻧﺎﻴﺑψ حﻼﺻا ترﺎﺒﻋ ζ
و هراﻮﻳد ﻚﻳدﺰﻧ fε
ﺖﺳا هراﻮﻳد ﻚﻳدﺰﻧ ﻲﻳاﺮﻴﻣ ﻊﺑﺎﺗ .
ياﺮﺑ
ﻪﺒﺳﺎﺤﻣ ﻪﻠﻤﺟ
كﻼﻬﺘﺳا ﻚ ﻴﭘوﺮﺘﻧﺰﻳاﺮﻴﻏ
εij كﻼﻬﺘﺳا زا
ﻲﮕﺘﻔﺷآ ،ε
ﻪﻟدﺎﻌﻣ زا )
10 ( هدﺎﻔﺘﺳا ﻲﻣ دﻮﺷ ] 21 [:
) 10 ( =2
3,45
ﺐﻳاﺮﺿ ﻪﻠﻤﺟ تﻻدﺎﻌﻣ ﻒﻠﺘﺨﻣ يﺎﻫ )
8 ( ﺎﺗ ) 10 ( لوﺪﺟ رد 1
ﺖﺳا هﺪﺷ هداد نﺎﺸﻧ .
لوﺪﺟ 1 ﺐﻳاﺮﺿ ﻪﻠﻤﺟ ﻒﻠﺘﺨﻣ يﺎﻫ تﻻدﺎﻌﻣ
) 8 ( ﺎﺗ ) 10 (
B = 3−2 +7 9 <(6̃
− 0.5̂( 0),
@ = <'F 0),' ε
G, 0),= HGI−(0.002 J)(K F = 1 − 0.6HGI−'OMNPK, = −!Q!%SR
<= 0.18 , <'= 1.45 , <(= 1.9 = /
+ /
3 - 2 - تﻻدﺎﻌﻣ ﻪﺘﻔﺷآ تراﺮﺣ لﺎﻘﺘﻧا
لﺪﻣ ﺶﻨﺗ رﻮﺴﻧﺎﺗ ﺪﻨﻧﺎﻣ ﺰﻴﻧ ﻪﺘﻔﺷآ ﻲﺗراﺮﺣ رﺎﺷ مود ﻪﺒﺗﺮﻣ يﺎﻫ
زﺪﻟﻮﻨﻳر ﺪﻨﺘﺴﻫ مود ﻪﺒﺗﺮﻣ ﻖﻴﻗد ﻞﻴﺴﻧاﺮﻔﻳد ﻪﻟدﺎﻌﻣ ياراد .
ﺮﻳز ﻞﻜﺷ ﻪﺑ تراﺮﺣ ﻪﺘﻔﺷآ رﺎﺷ رادﺮﺑ لﺎﻘﺘﻧا ﻞﻣﺎﻛ ﻪﻟدﺎﻌﻣ ﺖﺳا 23] :[
) 11 ( U
= V+ ΠV− V+ V
ترﺎﺒﻋ ﻪﺘﻔﺷآ و ﻲﻟﻮﻜﻟﻮﻣ ﺶﺨﭘ يﺎﻫ رﺎﺸﻓ ﺢﻴﺤﺼﺗ ،
و
ﻪﺑ زﺎﻴﻧ و هدﻮﺑ مﻮﻠﻌﻣﺎﻧ يﻻﺎﺑ ﻪﺒﺗﺮﻣ ﻂﺑاور ياراد كﻼﻬﺘﺳا
لﺪﻣ ﻞﻴﺴﻧاﺮﻔﻳد ﻪﻟدﺎﻌﻣ ﻪﺳ ﻞﺣ ترﻮﺻ ﻦﻳا رد ﻪﻛ ﺪﻧراد يزﺎﺳ
ﻪﺟﻮﺗ ﻞﺑﺎﻗ ﺶﻳاﺰﻓا ﻪﺘﻔﺷآ ﻲﺗراﺮﺣ رﺎﺷ ﻲﭘرد ار ﻲﺗﺎﺒﺳﺎﺤﻣ ﻪﻨﻳﺰﻫ
ﺖﺷاد ﺪﻫاﻮﺧ .
لﺪﻣ هدﺎﺳ ﺐﻳﺮﻘﺗ ياﺮﺑ ﻲﻔﻠﺘﺨﻣ يﺎﻫ رﺎﺷ رادﺮﺑ ﺮﺗ
ﻪﺘﻔﺷآ ﻲﺗراﺮﺣ نﺎﻴﻣ ﻦﻳا رد ﻪﻛ ﺖﺳا هﺪﺷ ﻪﺋارا
لﺪﻣ ﻪﺒﺗﺮﻣ يﺎﻫ
يﺮﺒﺟ مود -
ﺢﻳﺮﺻ
، ﺮﺘﻤﻛ ﻲﮔﺪﻴﭽﻴﭘ و ﻲﺗﺎﺒﺳﺎﺤﻣ ﻪﻨﻳﺰﻫ ﻞﻴﻟد ﻪﺑ
ﻪﻨﻳﺰﮔ ،ﻻﺎﺑ ﺖﻗد لﺎﺣ ﻦﻴﻋ رد و ﺶﻴﭘ رد ﺐﺳﺎﻨﻣ يا
ﺎﺷ ﻲﻨﻴﺑ ر
ﻪﺑ ﻪﺘﻔﺷآ تراﺮﺣ ﻲﻣ بﺎﺴﺣ
ﺪﻨﻳآ . لﺪﻣ ﻦﻳا ﻲﻣ ار ﺎﻫ ﻞﻜﺷ ﻪﺑ ناﻮﺗ
ﻲﻠﻛ ﻪﻟدﺎﻌﻣ ﻖﺑﺎﻄﻣ )
12 ( داد نﺎﺸﻧ 24]
:[
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