بررسی عددی و تجربی اثر یک عملگر پلاسمایی بر کارایی ایرفویل NLF0414 در زوایای حمله پس از واماندگی

ﺖﻓﺎ 26 / 1 / 91

شﺮ 27 / 5 / 91

رد ﻪﺋارا ﺎﺳ ﻳ ﺖ 30 / 9 /

91

ﻞﻳﻮﻓﺮﻳا ﻲﻳارﺎﻛ ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ

يزﺮﻣ ﻪﻳﻻ ﻪﺑ مﻮﺘﻨﻣﻮ ﺐﺒﺳ

ﻞﺻﺎﺣ ﻲﻤﺠﺣ يﺎﻫوﺮﻴﻧ ﺮﻴﺛﺎﺗ ﺖﺤﺗ ﺖﻟﺎﺣ ود رد ،ﻒﻠﺘﺨﻣ ﻪﻠﻤﺣ يﺎﻳاوز و

ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﺮﻴﺛﺎﺗ ﻲﮕﻧﻮﮕﭼ و ناﺰﻴﻣ ﺎﺗ دﻮﺷ

ﺑﺎﺟ ﺐﺒﺳ ﺶﻳاﺪﺟ عوﺮﺷ ﻲﻜﻳدﺰﻧ رد و ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﻪﻛ داد نﺎﺸﻧ ﻲﺳرﺮﺑ ﻦﻳا ﻪ

ﺎﺟ

ﺐﺒﺳ ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﺶﻳاﺪﺟ عوﺮﺷ رد ﺮﻴﺧﺎﺗ ناﺰﻴﻣ ﻦﻳا

Numerical and plasma

Abstract- Plasma actuator is one of the newest

inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414 airfoil both experimentally and numerically

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the compressible

force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the flow passing over it. The results showed that pre

separation point

separation delay caused a angle of attack.

Keywords: Plasma Actuator, Active Flow Control Method, Separation Point, Stall Angel

رد ﻳ ﺖﻓﺎ ﺬﭘ ﻳ شﺮ رد ﻪﺋارا

ﻞﻳﻮﻓﺮﻳا ﻲﻳارﺎﻛ ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ

ﻲﮔﺪﻧﺎﻣاو زا ﺲﭘ ﻪﻠﻤﺣ يﺎﻳاوز رد

ﻲﻧﺎﻘﻟﺎﻃ ﺲﻤﺷ شرآ 4

ناﺮﻬﺗ ،

ﻣ ﻖﻳرﺰﺗ ﻪﻠﻴﺳو يزﺮﻣ ﻪﻳﻻ ﻪﺑ مﻮﺘﻨﻣﻮ

ﻞﺻﺎﺣ ﻲﻤﺠﺣ يﺎﻫوﺮﻴﻧ ﺮﻴﺛﺎﺗ ﺖﺤﺗ ﺖﻟﺎﺣ ود رد ،ﻒﻠﺘﺨﻣ ﻪﻠﻤﺣ يﺎﻳاوز و

ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﺮﻴﺛﺎﺗ ﻲﮕﻧﻮﮕﭼ و ناﺰﻴﻣ ﺎﺗ دﻮﺷ

ﺑﺎﺟ ﺐﺒﺳ ﺶﻳاﺪﺟ عوﺮﺷ ﻲﻜﻳدﺰﻧ رد و ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﻪﻛ داد نﺎﺸﻧ ﻲﺳرﺮﺑ ﻦﻳا ﺐﺒﺳ ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﺶﻳاﺪﺟ عوﺮﺷ رد ﺮﻴﺧﺎﺗ ناﺰﻴﻣ ﻦﻳا

ﻲﻣ ﻪﻠﻤﺣ ﻪﻳواز ﻦﻳا رد ﻞﻳﻮﻓﺮﻳا هدزﺎﺑ ﺖﻘﻴﻘﺣ رد ﺎﻳ و ﺎﺴﭘ يوﺮﻴﻧ ﺐﻳﺮﺿ ﻪﺑ اﺮﺑ يوﺮﻴﻧ ﺐﻳﺮﺿ ﺖﺒﺴﻧ دﻮﺷ

.

Numerical and plasma actuator

A. Salmasi

Plasma actuator is one of the newest

inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414 both experimentally and numerically

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the compressible 25m/s velocity airflow in two different cases: with

force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the flow passing over it. The results showed that pre

paration point, transferred the separation point from separation delay caused a

attack.

Plasma Actuator, Active Flow Control Method, Separation Point, Stall Angel

ﻞﻳﻮﻓﺮﻳا ﻲﻳارﺎﻛ ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ

ﻲﮔﺪﻧﺎﻣاو زا ﺲﭘ ﻪﻠﻤﺣ يﺎﻳاوز رد

ﻲﻧﺎﻘﻟﺎﻃ ﺲﻤﺷ شرآ

ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ ناﺮﻬﺗ ،

ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ ناﺮﻬﺗ ،

ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ ﻲﺘﻌﻨﺻ هﺎﮕﺸﻧاد ،ﺎﻀﻓاﻮﻫ ﻲﺳﺪﻨﻬﻣ ناﺮﻬﺗ ،

ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ناﺮﻬﺗ ،

shadaram@kntu.ac.ir

ﺑ ﻪﻛ ﺖﺳا ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا هدﺎﻔﺘﺳا نﺎﻳﺮﺟ ﻪ

ﻣ ﻖﻳرﺰﺗ ﻪﻠﻴﺳو

ﻞﻳﻮﻓﺮﻳا ﻲﺑﺮﺠﺗ و يدﺪﻋ يزﺎﺳ NLF0414

ﻞﺻﺎﺣ ﻲﻤﺠﺣ يﺎﻫوﺮﻴﻧ ﺮﻴﺛﺎﺗ ﺖﺤﺗ

ﺖﻋﺮﺳ ﺎﺑ يرﻮﺒﻋ ياﻮﻫ نﺎﻳﺮﺟ ﺖﺤﺗ رﻮﻛﺬﻣ ﻞﻳﻮﻓﺮﻳا ،رﻮﻈﻨﻣ ﻦﻳا ياﺮﺑ 25m/s

ﺖﻟﺎﺣ ود رد ،ﻒﻠﺘﺨﻣ ﻪﻠﻤﺣ يﺎﻳاوز و

ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﺮﻴﺛﺎﺗ ﻲﮕﻧﻮﮕﭼ و ناﺰﻴﻣ ﺎﺗ دﻮﺷ

ﺑﺎﺟ ﺐﺒﺳ ﺶﻳاﺪﺟ عوﺮﺷ ﻲﻜﻳدﺰﻧ رد و ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﻪﻛ داد نﺎﺸﻧ ﻲﺳرﺮﺑ ﻦﻳا ﺐﺒﺳ ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﺶﻳاﺪﺟ عوﺮﺷ رد ﺮﻴﺧﺎﺗ ناﺰﻴﻣ ﻦﻳا

ﻲﻣ ﻪﻠﻤﺣ ﻪﻳواز ﻦﻳا رد ﻞﻳﻮﻓﺮﻳا هدزﺎﺑ ﺖﻘﻴﻘﺣ رد ﺎﻳ و ﺎﺴﭘ يوﺮﻴﻧ ﺐﻳﺮﺿ ﻪﺑ اﺮﺑ يوﺮﻴﻧ ﺐﻳﺮﺿ ﺖﺒﺴﻧ

Numerical and experimental investigation on the effect of a actuator on NLF0414

Salmasi¹, A.

1- MSc. Student, Mech 2- Assoc. Prof 3- Assoc. Prof.

4- PhD,

* P. O. B.

Plasma actuator is one of the newest

inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414 both experimentally and numerically

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the velocity airflow in two different cases: with

force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the flow passing over it. The results showed that pre

transferred the separation point from

separation delay caused a 35% increase in the ratio of lift to drag coefficient or the efficiency of the airfoil in the same Plasma Actuator, Active Flow Control Method, Separation Point, Stall Angel

104 - 116

ﻞﻳﻮﻓﺮﻳا ﻲﻳارﺎﻛ ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ

ﻲﮔﺪﻧﺎﻣاو زا ﺲﭘ ﻪﻠﻤﺣ يﺎﻳاوز رد

ﻲﻳازﺮﻴﻣ دﻮﻌﺴﻣ

، 3

ﻲﻧﺎﻘﻟﺎﻃ ﺲﻤﺷ شرآ

ﻲﺘﻌﻨﺻ ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ

ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ

ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ ﻲﺘﻌﻨﺻ هﺎﮕﺸﻧاد ،ﺎﻀﻓاﻮﻫ ﻲﺳﺪﻨﻬﻣ ﻪﺟاﻮﺧ

ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ shadaram@kntu.ac.ir

ﺑ ﻪﻛ ﺖﺳا ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا هدﺎﻔﺘﺳا نﺎﻳﺮﺟ ﻞﻳﻮﻓﺮﻳا ﻲﺑﺮﺠﺗ و يدﺪﻋ يزﺎﺳ

ﺖﻋﺮﺳ ﺎﺑ يرﻮﺒﻋ ياﻮﻫ نﺎﻳﺮﺟ ﺖﺤﺗ رﻮﻛﺬﻣ ﻞﻳﻮﻓﺮﻳا ،رﻮﻈﻨﻣ ﻦﻳا ياﺮﺑ ﻲﻣ يزﺎﺳ

ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﺮﻴﺛﺎﺗ ﻲﮕﻧﻮﮕﭼ و ناﺰﻴﻣ ﺎﺗ دﻮﺷ

ﺑﺎﺟ ﺐﺒﺳ ﺶﻳاﺪﺟ عوﺮﺷ ﻲﻜﻳدﺰﻧ رد و ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﻪﻛ داد نﺎﺸﻧ ﻲﺳرﺮﺑ ﻦﻳا دﻮﺷ

. ﺐﺒﺳ ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﺶﻳاﺪﺟ عوﺮﺷ رد ﺮﻴﺧﺎﺗ ناﺰﻴﻣ ﻦﻳا

ﻲﻣ ﻪﻠﻤﺣ ﻪﻳواز ﻦﻳا رد ﻞﻳﻮﻓﺮﻳا هدزﺎﺑ ﺖﻘﻴﻘﺣ رد ﺎﻳ و ﺎﺴﭘ يوﺮﻴﻧ ﺐﻳﺮﺿ ﻪﺑ اﺮﺑ يوﺮﻴﻧ ﺐﻳﺮﺿ ﺖﺒﺴﻧ

experimental investigation on the effect of a NLF0414

Shadaram

Sc. Student, Mech. Eng Prof., Mech. Eng . Prof., Aerospace Eng

, Mech. Eng., K.

P. O. B. 15875-4416

Plasma actuator is one of the newest devices

inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414 both experimentally and numerically in presence of the body force vector indu

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the velocity airflow in two different cases: with

force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the flow passing over it. The results showed that presence of a pla

transferred the separation point from

% increase in the ratio of lift to drag coefficient or the efficiency of the airfoil in the same Plasma Actuator, Active Flow Control Method, Separation Point, Stall Angel

هرﺎﻤﺷ 6

، ﺪﻨﻔﺳا 1391 ص ص 4

ﻚﻳ ﻞﻳﻮﻓﺮﻳا ﻲﻳارﺎﻛ ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ

ﻲﮔﺪﻧﺎﻣاو زا ﺲﭘ ﻪﻠﻤﺣ يﺎﻳاوز رد

مارآدﺎﺷ ﷲﺪﺒﻋ

2

، *

ﻲﻳازﺮﻴﻣ دﻮﻌﺴﻣ

هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷرا ﻲﺳﺎﻨﺷرﺎﻛ يﻮﺠﺸﻧاد ﻲﺘﻌﻨﺻ

هﺎﮕﺸﻧاد ﻲﺘﻌﻨﺻ ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ

ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ ﻲﺘﻌﻨﺻ هﺎﮕﺸﻧاد ،ﺎﻀﻓاﻮﻫ ﻲﺳﺪﻨﻬﻣ هﺎﮕﺸﻧاد

ﻲﺘﻌﻨﺻ ﻪﺟاﻮﺧ

4416 - 15875

، shadaram@kntu.ac.ir

ﺑ ﻪﻛ ﺖﺳا ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا هدﺎﻔﺘﺳا نﺎﻳﺮﺟ ﻪﻴﺒﺷ ،ﻖﻴﻘﺤﺗ ﻞﻳﻮﻓﺮﻳا ﻲﺑﺮﺠﺗ و يدﺪﻋ يزﺎﺳ

ﺖﻋﺮﺳ ﺎﺑ يرﻮﺒﻋ ياﻮﻫ نﺎﻳﺮﺟ ﺖﺤﺗ رﻮﻛﺬﻣ ﻞﻳﻮﻓﺮﻳا ،رﻮﻈﻨﻣ ﻦﻳا ياﺮﺑ ﻪﻴﺒﺷ ﻲﺑﺮﺠﺗ و يدﺪﻋ ترﻮﺻ ود ﺮﻫ ﻪﺑ ﻲﻣ يزﺎﺳ

ﺑﺎﺟ ﺐﺒﺳ ﺶﻳاﺪﺟ عوﺮﺷ ﻲﻜﻳدﺰﻧ رد و ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﻪﻛ داد نﺎﺸﻧ ﻲﺳرﺮﺑ ﻦﻳا 18

ﻪﺟرد ﻲﻣ دﻮﺷ

ﻲﻣ ﻪﻠﻤﺣ ﻪﻳواز ﻦﻳا رد ﻞﻳﻮﻓﺮﻳا هدزﺎﺑ ﺖﻘﻴﻘﺣ رد ﺎﻳ و ﺎﺴﭘ يوﺮﻴﻧ ﺐﻳﺮﺿ ﻪﺑ اﺮﺑ يوﺮﻴﻧ ﺐﻳﺮﺿ ﺖﺒﺴﻧ لﺎﺘﺳا ﻪﻳواز ،ﺶﻳاﺪﺟ ﻪﻄﻘﻧ ،نﺎﻳﺮﺟ لﺮﺘﻨﻛ لﺎﻌﻓ شور ،ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ

experimental investigation on the effect of a NLF0414 airfoils’

m^2*, M. Mirzaei

Eng., K. N. Toosi Univ Eng., K. N. Toosi Univ.

, Aerospace Eng., K. N. Toosi Univ.

, K. N. Toosi Univ

4416 Tehran, shadaram@kntu.ac.ir

devices in flow control techniques which can delay separation by inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414

in presence of the body force vector indu

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the velocity airflow in two different cases: with no plasma actuator located on the airfoil and wi force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the

ence of a plasma actuator on the top surface of the airfoil transferred the separation point from x=16 mm to x=41 mm

% increase in the ratio of lift to drag coefficient or the efficiency of the airfoil in the same Plasma Actuator, Active Flow Control Method, Separation Point, Stall Angel

هرود 12 هرﺎﻤﺷ

ﺮﺛا ﻲﺑﺮﺠﺗ و يدﺪﻋ ﻲﺳرﺮﺑ ﻚﻳ

ﻲﮔﺪﻧﺎﻣاو زا ﺲﭘ ﻪﻠﻤﺣ يﺎﻳاوز رد

مارآدﺎﺷ ﷲﺪﺒﻋ

هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷرا ﻲﺳﺎﻨﺷرﺎﻛ يﻮﺠﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ

هﺎﮕﺸﻧاد

ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ ﻲﺘﻌﻨﺻ هﺎﮕﺸﻧاد ،ﺎﻀﻓاﻮﻫ ﻲﺳﺪﻨﻬﻣ ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ هﺎﮕﺸﻧاد

،ناﺮﻬﺗ قوﺪﻨﺻ ﻲﺘﺴﭘ 4416

لﺮﺘﻨﻛ ﻪﻨﻴﻣز رد ﻦﻳﻮﻧ يﺎﻫ لﺎﻌﻓ

ﺑ ﻪﻛ ﺖﺳا ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا هدﺎﻔﺘﺳا نﺎﻳﺮﺟ

ﻦﻳا زا فﺪﻫ ﻪﻴﺒﺷ ،ﻖﻴﻘﺤﺗ

ﺖﻋﺮﺳ ﺎﺑ يرﻮﺒﻋ ياﻮﻫ نﺎﻳﺮﺟ ﺖﺤﺗ رﻮﻛﺬﻣ ﻞﻳﻮﻓﺮﻳا ،رﻮﻈﻨﻣ ﻦﻳا ياﺮﺑ ﻪﻴﺒﺷ ﻲﺑﺮﺠﺗ و يدﺪﻋ ترﻮﺻ ود ﺮﻫ ﻪﺑ ﺑﺎﺟ ﺐﺒﺳ ﺶﻳاﺪﺟ عوﺮﺷ ﻲﻜﻳدﺰﻧ رد و ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﻪﻛ داد نﺎﺸﻧ ﻲﺳرﺮﺑ ﻦﻳا

ز رد ﻪﻠﻤﺣ ﻪﻳوا 18

ﻲﻣ ﻪﻠﻤﺣ ﻪﻳواز ﻦﻳا رد ﻞﻳﻮﻓﺮﻳا هدزﺎﺑ ﺖﻘﻴﻘﺣ رد ﺎﻳ و ﺎﺴﭘ يوﺮﻴﻧ ﺐﻳﺮﺿ ﻪﺑ اﺮﺑ يوﺮﻴﻧ ﺐﻳﺮﺿ ﺖﺒﺴﻧ لﺎﺘﺳا ﻪﻳواز ،ﺶﻳاﺪﺟ ﻪﻄﻘﻧ ،نﺎﻳﺮﺟ لﺮﺘﻨﻛ لﺎﻌﻓ شور ،ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ

experimental investigation on the effect of a airfoils’ efficiency

Mirzaei³, A. Shams Taleghani

Toosi Univ. of Tech., Tehran, Iran Toosi Univ. of Tech., Tehran, Iran

Toosi Univ. of Tech Toosi Univ. of Tech., Tehran, Iran

shadaram@kntu.ac.ir

in flow control techniques which can delay separation by inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414

in presence of the body force vector indu

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the no plasma actuator located on the airfoil and wi force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the

ma actuator on the top surface of the airfoil x=16 mm to x=41 mm at the angle of attack of

% increase in the ratio of lift to drag coefficient or the efficiency of the airfoil in the same Plasma Actuator, Active Flow Control Method, Separation Point, Stall Angel

ﺮﺛا ﻲﺑﺮﺠﺗ و يدﺪﻋ ﻲﺳرﺮﺑ NLF0414

ﻲﺳﺎﻤﻠﺳ ﻪﻔﻃﺎﻋ ،1

مارآدﺎﺷ ﷲﺪﺒﻋ

هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷرا ﻲﺳﺎﻨﺷرﺎﻛ يﻮﺠﺸﻧاد 2 - رﺎﻴﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ

3 - رﺎﻴﺸﻧاد ﻲﺳﻮﻃ ﻦﻳﺪﻟاﺮﻴﺼﻧ ﻪﺟاﻮﺧ ﻲﺘﻌﻨﺻ هﺎﮕﺸﻧاد ،ﺎﻀﻓاﻮﻫ ﻲﺳﺪﻨﻬﻣ

4 - ﺮﺘﻛد يا ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ

* ،ناﺮﻬﺗ

لﺮﺘﻨﻛ ﻪﻨﻴﻣز رد ﻦﻳﻮﻧ يﺎﻫ

ﻲﻣ ﺶﻳاﺪﺟ هﺪﻳﺪﭘ عﻮﻗو زا يﺮﻴﮔﻮﻠﺟ دﻮﺷ

. ﻦﻳا زا فﺪﻫ

ﺖﻋﺮﺳ ﺎﺑ يرﻮﺒﻋ ياﻮﻫ نﺎﻳﺮﺟ ﺖﺤﺗ رﻮﻛﺬﻣ ﻞﻳﻮﻓﺮﻳا ،رﻮﻈﻨﻣ ﻦﻳا ياﺮﺑ

ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ مﺪﻋ و رﻮﻀﺣ

، ﻪﻴﺒﺷ ﻲﺑﺮﺠﺗ و يدﺪﻋ ترﻮﺻ ود ﺮﻫ ﻪﺑ ﺑﺎﺟ ﺐﺒﺳ ﺶﻳاﺪﺟ عوﺮﺷ ﻲﻜﻳدﺰﻧ رد و ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﻪﻛ داد نﺎﺸﻧ ﻲﺳرﺮﺑ ﻦﻳا

ﻪﺑx=

41mm ز ردx=

ﻲﻣ ﻪﻠﻤﺣ ﻪﻳواز ﻦﻳا رد ﻞﻳﻮﻓﺮﻳا هدزﺎﺑ ﺖﻘﻴﻘﺣ رد ﺎﻳ و ﺎﺴﭘ يوﺮﻴﻧ ﺐﻳﺮﺿ ﻪﺑ اﺮﺑ يوﺮﻴﻧ ﺐﻳﺮﺿ ﺖﺒﺴﻧ لﺎﺘﺳا ﻪﻳواز ،ﺶﻳاﺪﺟ ﻪﻄﻘﻧ ،نﺎﻳﺮﺟ لﺮﺘﻨﻛ لﺎﻌﻓ شور ،ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ

experimental investigation on the effect of a efficiency

Shams Taleghani

., Tehran, Iran ., Tehran, Iran of Tech., Tehran, Iran

., Tehran, Iran shadaram@kntu.ac.ir

in flow control techniques which can delay separation by inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414 in presence of the body force vector induced by a specific plasma actuator.

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the no plasma actuator located on the airfoil and wi force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the

ma actuator on the top surface of the airfoil at the angle of attack of

% increase in the ratio of lift to drag coefficient or the efficiency of the airfoil in the same Plasma Actuator, Active Flow Control Method, Separation Point, Stall Angel

ﺮﺛا ﻲﺑﺮﺠﺗ و يدﺪﻋ ﻲﺳرﺮﺑ NLF0414

ﻲﺳﺎﻤﻠﺳ ﻪﻔﻃﺎﻋ

1 - هﺎﮕﺸﻧاد ،ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ ﺪﺷرا ﻲﺳﺎﻨﺷرﺎﻛ يﻮﺠﺸﻧاد

شور زا ﻲﻜﻳ لﺮﺘﻨﻛ ﻪﻨﻴﻣز رد ﻦﻳﻮﻧ يﺎﻫ

ﻲﻣ ﺶﻳاﺪﺟ هﺪﻳﺪﭘ عﻮﻗو زا يﺮﻴﮔﻮﻠﺟ ﻲﻣ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا ﺪﺷﺎﺑ

. ﺖﻋﺮﺳ ﺎﺑ يرﻮﺒﻋ ياﻮﻫ نﺎﻳﺮﺟ ﺖﺤﺗ رﻮﻛﺬﻣ ﻞﻳﻮﻓﺮﻳا ،رﻮﻈﻨﻣ ﻦﻳا ياﺮﺑ

ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ مﺪﻋ و رﻮﻀﺣ دﻮﺷ ﻲﺳرﺮﺑ ﻲﺑﻮﺧ

.

زا ﺶﻳاﺪﺟ ﻪﻄﻘﻧ نﺪﺷ 16mm

x=

ﺪﺻرد ي ﻲﻣ ﻪﻠﻤﺣ ﻪﻳواز ﻦﻳا رد ﻞﻳﻮﻓﺮﻳا هدزﺎﺑ ﺖﻘﻴﻘﺣ رد ﺎﻳ و ﺎﺴﭘ يوﺮﻴﻧ ﺐﻳﺮﺿ ﻪﺑ اﺮﺑ يوﺮﻴﻧ ﺐﻳﺮﺿ ﺖﺒﺴﻧ

لﺎﺘﺳا ﻪﻳواز ،ﺶﻳاﺪﺟ ﻪﻄﻘﻧ ،نﺎﻳﺮﺟ لﺮﺘﻨﻛ لﺎﻌﻓ شور ،ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ

experimental investigation on the effect of a efficiency after the

Shams Taleghani⁴

., Tehran, Iran

in flow control techniques which can delay separation by inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414 ced by a specific plasma actuator.

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the no plasma actuator located on the airfoil and wi force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the

ma actuator on the top surface of the airfoil at the angle of attack of 18 degree

% increase in the ratio of lift to drag coefficient or the efficiency of the airfoil in the same

ﺮﺛا ﻲﺑﺮﺠﺗ و يدﺪﻋ ﻲﺳرﺮﺑ

هﺪﻴﻜﭼ شور زا ﻲﻜﻳ-

ﻲﻣ ﺶﻳاﺪﺟ هﺪﻳﺪﭘ عﻮﻗو زا يﺮﻴﮔﻮﻠﺟ ﻲﻣ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ مﺪﻋ و رﻮﻀﺣ ﻪﺑ نﺎﻳﺮﺟ يور دﻮﺷ ﻲﺳرﺮﺑ ﻲﺑﻮﺧ

زا ﺶﻳاﺪﺟ ﻪﻄﻘﻧ نﺪﺷ ﺶﻳاﺰﻓا 35 ﺪﺻرد

ﺪﻴﻠﻛ نﺎﮔژاو لﺎﺘﺳا ﻪﻳواز ،ﺶﻳاﺪﺟ ﻪﻄﻘﻧ ،نﺎﻳﺮﺟ لﺮﺘﻨﻛ لﺎﻌﻓ شور ،ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ:

experimental investigation on the effect of a the stall

in flow control techniques which can delay separation by inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414 ced by a specific plasma actuator.

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the no plasma actuator located on the airfoil and with body force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the ma actuator on the top surface of the airfoil, close to the 18 degrees. This

% increase in the ratio of lift to drag coefficient or the efficiency of the airfoil in the same

هﺪﻴﻜﭼ ﻲﻣ ﺶﻳاﺪﺟ هﺪﻳﺪﭘ عﻮﻗو زا يﺮﻴﮔﻮﻠﺟ ﻲﻣ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ مﺪﻋ و رﻮﻀﺣ ﻪﺑ نﺎﻳﺮﺟ يور زا ﺶﻳاﺪﺟ ﻪﻄﻘﻧ نﺪﺷ ﺶﻳاﺰﻓا ﺪﻴﻠﻛ

experimental investigation on the effect of a l

in flow control techniques which can delay separation by inducing external momentum to the boundary layer of the flow. The purpose of this paper is to simulate a NLF0414 ced by a specific plasma actuator.

For this reason, the simulation is done both numerically and experimentally for a NLF0414 airfoil with the th body force produced by a plasma actuator located on the top of the airfoil in order to investigate the effect of plasma on the to the This

% increase in the ratio of lift to drag coefficient or the efficiency of the airfoil in the same

[ Downloaded from mme.modares.ac.ir on 2022-10-31 ]

ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﻚﻳ ﺮﺛا ﻲﺑﺮﺠﺗ و يدﺪﻋ ﻲﺳرﺮﺑ ﻲﻳارﺎﻛ

...

ﻲﺳﺎﻤﻠﺳ ﻪﻔﻃﺎﻋ رﺎﻜﻤﻫ و

نا

سرﺪﻣ ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ

ةرود 12 ةرﺎﻤﺷ 6 ، ﺪﻨﻔﺳا

1391

105

1 - ﻪﻣﺪﻘﻣ

نﺎﻳﺮﺟ لﺮﺘﻨﻛ ﻲﻳﺎﻧاﻮﺗ

، ياراد ،هاﻮﺨﻟد يﺮﻴﻴﻐﺗ دﺎﺠﻳا رﻮﻈﻨﻣ ﻪﺑ

ﺎﻗ يدﺮﺑرﺎﻛ و ﻲﻜﻳژﻮﻟﻮﻨﻜﺗ ﺖﻴﻤﻫا ﻪﻈﺣﻼﻣ ﻞﺑ

ﺖﺳا يا . لﺎﺣ رد

،ﺮﺿﺎﺣ رد يﺮﮕﻳد عﻮﺿﻮﻣ ﺮﻫ زا ﺶﻴﺑ ﺐﻠﻄﻣ ﻦﻳا ،ﻚﺷ نوﺪﺑ

ﻂﺳﻮﺗ تﻻﺎﻴﺳ ﻚﻴﻧﺎﻜﻣ ﻢﻠﻋ ﻘﻘﺤﻣ

ﺎﺳﺪﻨﻬﻣ و نﺎ ﻲﻣ لﺎﺒﻧد ن

دﻮﺷ

شور ﻪﺑ ﺎﺗ ﻪﻨﻳﺰﻫ و ﺮﺘﻬﺑ ﻲﻳارﺎﻛ ﺎﺑ ﻲﻳﺎﻫ

لﺮﺘﻨﻛ ﺖﻬﺟ ﺮﺘﻤﻛ يﺎﻫ

ﺪﻨﻨﻛ اﺪﻴﭘ ﺖﺳد نﺎﻳﺮﺟ .

ﻞﻴﻟد ﻦﻴﻤﻫ ﻪﺑ

، هدﺮﺘﺴﮔ تﺎﻘﻴﻘﺤﺗ يا

شور يور ﺮﺑ مﺎﺠﻧا نﺎﻳﺮﺟ لﺮﺘﻨﻛ لﺎﻌﻓﺮﻴﻏ و لﺎﻌﻓ ﻒﻠﺘﺨﻣ يﺎﻫ

دراد ﻪﻣادا ﺰﻴﻧ نﺎﻨﭽﻤﻫ و هﺪﺷ .

يد ﻊﻧﺎﻣ ﻪﻴﻠﺨﺗ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﺘﻜﻟا

ﻲﺤﻄﺳ ﻚﻳﺮ زا ﻲﻜﻳ 1

شور ﻲﻣ نﺎﻳﺮﺟ لﺎﻌﻓ لﺮﺘﻨﻛ ﻪﻨﻴﻣز رد حﺮﻄﻣ يﺎﻫ ﺪﺷﺎﺑ

. ﻦﻳا

لﺮﺘﻨﻛ ﻪﻨﻴﻣز رد دﻮﺧ ﺪﻨﻤﺷزرا يﺎﻳاﺰﻣ ﻞﻴﻟد ﻪﺑ ﺮﮕﻠﻤﻋ ،نﺎﻳﺮﺟ

ﻪﺑ ،نﺎﻘﻘﺤﻣ زا يرﺎﻴﺴﺑ ﻪﺟﻮﺗ درﻮﻣ ﺮﻴﺧا ﻪﻫد رد هﮋﻳو

، ﻪﺘﻓﺮﮔ راﺮﻗ

ﺖﺳا . ﻲﮔﮋﻳو ﻪﻠﻤﺟ زا ﻲﻣ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﻦﻳا ﻢﻬﻣ يﺎﻫ

ناﻮﺗ

تﺎﻌﻄﻗ ﻦﺘﺷاﺪﻧ ﻪﺑ كﺮﺤﺘﻣ

، و ﻊﻳﺮﺳ ﻲﻳﻮﮕﺨﺳﺎﭘ ﺖﻴﻠﺑﺎﻗ

كﺪﻧا ﻲﻧﺎﻣز ﺮﻴﺧﺎﺗ

، رﺎﺘﺧﺎﺳ ﻲﮔدﺎﺳ

، يژﺮﻧا ﻢﻛ فﺮﺼﻣ و

ﺶﻫﺎﻛ

ﻪﻨﻳﺰﻫ ﺮﻴﻤﻌﺗ و ﻞﻴﻤﻜﺗ ،ﻲﺗﺎﻴﻠﻤﻋ يﺎﻫ دﻮﻤﻧ هرﺎﺷا

.

ﻪﺘﻔﮔ يﺎﻳاﺰﻣ ﻞﻴﻟد ﻪﺑ ،ﻲﻳﺎﻤﺳﻼﭘ يﺎﻫﺮﮕﻠﻤﻋ درﻮﻣ رد هﺪﺷ

ﺎﻫﺮﮕﻠﻤﻋ عﻮﻧ ﻦﻳا زا هدﺎﻔﺘﺳا ﻪﻨﻴﻣز رد يرﺎﻴﺴﺑ تﺎﻘﻴﻘﺤﺗ هزوﺮﻣا ﻨﻛ رﻮﻈﻨﻣ ﻪﺑ نﺎﻨﭽﻤﻫ و ﺖﺳا ﻪﺘﻓﺮﮔ مﺎﺠﻧا نﺎﻳﺮﺟ يزﺮﻣ ﻪﻳﻻ لﺮﺘ

ﺖﺳا مﺎﺠﻧا لﺎﺣ رد ﺰﻴﻧ .

ﺶﻧارﺎﻜﻤﻫ و ﻚﻴﻠﻣ ]

1 [ ﻲﻧﺎﺴﻛ ﻦﻴﺘﺴﺨﻧ

نﺎﻳﺮﺟ ﻂﺳﻮﺗ ﻪﻴﻠﺨﺗ ﻚﻳ زا ﻞﺻﺎﺣ ﺖﺟ يوﺮﻴﻧ زا ﻪﻛ ﺪﻧدﻮﺑ ﺶﻫﺎﻛ ﺖﻳﺎﻬﻧ رد و ﺎﻤﺳﻼﭘ ﻪﻴﺣﺎﻧ ﻚﻳ دﺎﺠﻳا رﻮﻈﻨﻣ ﻪﺑ ﻢﻴﻘﺘﺴﻣ ﺪﻧدﺮﻛ هدﺎﻔﺘﺳا ﺖﺨﺗ تﺎﺤﻔﺻ يور ﺮﺑ ﺎﺴﭘ يوﺮﻴﻧ .

نآ زا ﺲﭘ ﺎﻫ

رادﺮﺑ ﺪﻴﻟﻮﺗ رﻮﻈﻨﻣ ﻪﺑ ﻲﻜﻳﺮﺘﻜﻟا ﻪﻴﻠﺨﺗ ﻞﻤﻋ زا ﻲﻔﻠﺘﺨﻣ داﺮﻓا ﺶﻳاﺰﻓا و نﺎﻳﺮﺟ يزﺮﻣ ﻪﻳﻻ ﺶﻳاﺪﺟ لﺮﺘﻨﻛ و ﻲﻤﺠﺣ يوﺮﻴﻧ ﺪﻧدﺮﻛ هدﺎﻔﺘﺳا ﻒﻠﺘﺨﻣ مﺎﺴﺟا يور ﺮﺑ اﺮﺑ يوﺮﻴﻧ .

ﺶﻧارﺎﻜﻤﻫ و تﺮﻓ ]

2 [ ﻪﻠﻤﺟ زا ﺎﻘﻘﺤﻣ

ﻲﻧ ﻪﺑ ﻪﻛ ﺪﻨﺘﺴﻫ

زا يرﻮﺒﻋ نﺎﻳﺮﺟ ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا هدﺎﻔﺘﺳا ﺮﻴﺛﺎﺗ ﻲﺳرﺮﺑ ﻞﻳﻮﻓﺮﻳا يور ﺪﻨﺘﺧادﺮﭘ ﺎﻫ

. نآ ﻪﻨﻴﻣز رد ﺎﻫ تاﺮﻴﺛﺎﺗ نﻮﭼ ﻲﻳﺎﻫ

ﺮﺘﻣارﺎﭘ و ﺲﻧﺎﻛﺮﻓ ،يدورو ژﺎﺘﻟو ،ﺎﻫدوﺮﺘﻜﻟا ﺲﻨﺟ ،ﻪﺳﺪﻨﻫ يﺎﻫ

هداد مﺎﺠﻧا يدﺎﻳز تﺎﻘﻴﻘﺤﺗ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﺮﮕﻳد ﺪﻧا

. ﻦﻴﻨﭽﻤﻫ

كﺮﻛ نﻮﭼ يداﺮﻓا ﺶﻧارﺎﻜﻤﻫ و

] 3 [ ار ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﺮﻴﺛﺎﺗ

لﺎﺑ ﺮﺑ ﺪﻨﭼ يﺎﻫ لﺎﺑ و ﻲﺋﺰﺟ

ﺑ ﻲﻳﺎﻫ كﺮﺤﺘﻣ ﻲﻟﺮﺘﻨﻛ حﻮﻄﺳ ﺎ

هدﺮﻛ ﻲﺳرﺮﺑ ﺪﻧا

. نآ ﻲﺳرﺮﺑ رد ﺎﻫ زا هدﺎﻔﺘﺳا ﻪﻛ ﺪﻨﺘﻓﺎﻳرد نﺎﺸﻳﺎﻫ

1. AC Surface Dielectric Barrier Discharge Plasma Actuator

يور ﺮﺑ اﺮﺑ يوﺮﻴﻧ رد ﻲﻬﺟﻮﺗ ﻞﺑﺎﻗ ﺶﻳاﺰﻓا ﺐﺒﺳ ﺮﮕﻠﻤﻋ عﻮﻧ ﻦﻳا ﻲﻣ ﻞﻳﻮﻓﺮﻳا دﻮﺷ

.

ﻲﻠﻴﻄﺘﺴﻣ دوﺮﺘﻜﻟا ود زا ﻲﻠﻛ رﻮﻃ ﻪﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﻞﻜﺷ

يد ﻖﻳﺎﻋ ﻚﻳ ﻂﺳﻮﺗ ﻪﻛ ﺖﺳا هﺪﺷ ﻞﻴﻜﺸﺗ ﺮﮕﻳﺪﻜﻳ زا ﻚﻳﺮﺘﻜﻟا

هﺪﺷ اﺪﺟ ﺪﻧا

. دوﺮﺘﻜﻟا ﺶﻨﻴﭼ ﺎﺑ و نرﺎﻘﺘﻣﺎﻧ ًﻼﻣﺎﻛ ترﻮﺻ ﻪﺑ ﺎﻫ

ﻲﻛﺪﻧا ) ﻲﻠﻴﻣ سﺎﻴﻘﻣ رد يﺮﺘﻣ

( ﻲﻣ ﻲﮔدﺎﺘﻓا ﻢﻫ يور ﺪﺷﺎﺑ

. ﻲﻜﻳ

دوﺮﺘﻜﻟا زا ﺎﻫ

) ﻲﻧﺎﻗﻮﻓ دوﺮﺘﻜﻟا (

و ﻪﺘﻓﺮﮔ راﺮﻗ اﻮﻫ ضﺮﻌﻣ رد

يﺮﮕﻳد ) ﻲﻨﻴﻳﺎﭘ دوﺮﺘﻜﻟا (

يد هدﺎﻣ ﻚﻳ ﻂﺳﻮﺗ ًﻼﻣﺎﻛ ﺰﻴﻧ ﻚﻳﺮﺘﻜﻟا

ﺖﺳا هﺪﺷ هﺪﻴﺷﻮﭘ .

زا هدﺎﺳ ﻲﻳﺎﻤﻧ رد ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﻦﻳا

ﻞﻜﺷ 1 ﺖﺳا هﺪﺷ هداد نﺎﺸﻧ .

ﻞﻜﺷ يد ﻪﻴﻠﺨﺗ ﻊﻧﺎﻣ ﺮﮕﻠﻤﻋ ﻚﻳ زا ﻲﻳﺎﻤﻧ1 ﻲﺤﻄﺳ ﻚﻳﺮﺘﻜﻟا

دوﺮﺘﻜﻟا ﻪﻛ ﻲﻧﺎﻣز ﺘﻣ ژﺎﺘﻟو ﻚﻳ ﻪﻠﻴﺳو ﻪﺑ ﺎﻫ

ﻪﻳﺬﻐﺗ بوﺎﻨ

هﺰﻴﻧﻮﻳ ﺐﺒﺳ ژﺎﺘﻟو ﻦﻳا رﻮﺒﻋ ،ﺪﻧﻮﺷ يﻻﺎﺑ رد اﻮﻫ تارذ نﺪﺷ

دوﺮﺘﻜﻟا ﻲﻣ ﺎﻤﺳﻼﭘ ﻞﻴﻜﺸﺗ و ﻖﻳﺎﻋ زا هﺪﻴﺷﻮﭘ دﻮﺷ

. ناﺪﻴﻣ ﺮﺛا رد

تارذ ،نﺎﻳﺮﺟ رﻮﺒﻋ زا ﻞﺻﺎﺣ ﻲﻜﻳﺮﺘﻜﻟا هﺰﻴﻧﻮﻳ

دﺎﺠﻳا ﺐﺒﺳ هﺪﺷ

ﻲﻣ ﻲﻤﺠﺣ يوﺮﻴﻧ رادﺮﺑ ﻚﻳ ﺖﺤﺗ ار رﺎﺑ نوﺪﺑ ياﻮﻫ ﻪﻛ ﺪﻧﻮﺷ

ﻲﻣ راﺮﻗ ﺮﻴﺛﺎﺗ ﺪﻨﻫد

. ﺮﮕﻳد ترﺎﺒﻋ ﻪﺑ

، هﺪﺷﺪﻴﻟﻮﺗ ﻲﻤﺠﺣ يوﺮﻴﻧ

ﺟ لﺎﻌﻓ لﺮﺘﻨﻛ ﺖﻬﺟ ﻲﻣﺰﻴﻧﺎﻜﻣ ﻲﻣ ﻪﻛ ﺖﺳا نﺎﻳﺮ

ترﻮﺻ ﻪﺑ ﺪﻧاﻮﺗ

ﻳادﺮﻴﻏ ﺎﻳ ﻢﻳاد ﻪﺼﺨﺸﻣ ،ﻢ

يﺎﻫ راﺮﻗ ﺮﻴﺛﺎﺗ ﺖﺤﺗ ار لﺎﻴﺳ ﺖﻋﺮﺳ

ﺪﻫد . ا ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﻦﻳا نرﺎﻘﺘﻣﺎﻧ ﻲﺣاﺮﻃ ﺖﻘﻴﻘﺣ رد ﺖﺳ

ﻲﻤﺠﺣ يوﺮﻴﻧ ﺪﻴﻟﻮﺗ ﻪﻠﻴﺳو ﻪﺑ ﻪﻛ ﻲﻣ ﻲﻧﺎﻳﺮﺟ دﺎﺠﻳا ﺐﺒﺳ

دﻮﺷ

ﻲﻣ دﺎﺠﻳا ﺖﺟ ﻚﻳ ﻂﺳﻮﺗ ﻪﻛ ﺖﺳا ﻲﻧﺎﻳﺮﺟ ﻪﻴﺒﺷ رﺎﻴﺴﺑ ﻪﻛ دﻮﺷ

.

دﺎﺠﻳا يوﺮﻴﻧ رادﺮﺑ ﺖﻳﺎﻬﻧ رد بﺎﺘﺷ ﺐﺒﺳ هﺪﺷ

ﻲﻧﺎﻬﮔﺎﻧ يﺮﻴﮔ

هراﻮﻳد روﺎﺠﻣ نﺎﻳﺮﺟ ﺎﻳ

، لﺎﻴﺳ ﻪﺑ مﻮﺘﻨﻤﻣ ﻖﻳرﺰﺗ ،ﺮﮕﻳد ترﺎﺒﻋ ﻪﺑ

ﻲﻣ دﻮﺷ ] 3 - 6 [.

ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ يدﺪﻋ يزﺎﺴﻟﺪﻣ

ﺶﻟﺎﭼ زا ﻲﻜﻳ ﻢﻫ زﻮﻨﻫ ﻪﻨﻴﻣز ﻦﻳا رد حﺮﻄﻣ يﺎﻫ

ﺖﺳا . نﻮﻨﻛﺎﺗ

لﺪﻣ ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ ﻊﻳزﻮﺗ يزﺎﺴﻟﺪﻣ ﺖﻬﺟ ﻲﻔﻠﺘﺨﻣ يﺎﻫ

[ Downloaded from mme.modares.ac.ir on 2022-10-31 ]

ﺖﺳا ﻪﻌﺳﻮﺗ لﺎﺣ رد ﻢﻫ زﻮﻨﻫ و هﺪﺷ ﻪﺋارا ﺮﮕﻠﻤﻋ زا .

ا لﺪﻣ ﻦﻳ ﺎﻫ

شور زا ﻲﻋﻮﻨﺘﻣ هدوﺪﺤﻣ ﻞﻣﺎﺷ ﻲﻣ ﺎﻫ

هدﺎﺳ ﻞﻣﺎﺷ ﻪﻛ ﺪﻨﺷﺎﺑ ﻦﻳﺮﺗ

لﺪﻣ ﺎﻫ

، نآ رد ﻪﻛ ﻲﻄﺧ ضﺮﻓ زا ﺎﻫ

ﻲﻤﺠﺣ يوﺮﻴﻧ ﻊﻳزﻮﺗ ندﻮﺑ

ﻲﻣ هدﺎﻔﺘﺳا ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ دﻮﺷ

، هﺪﻴﭽﻴﭘ ﺎﺗ نآ ﻦﻳﺮﺗ

ﻲﻣ ﺎﻫ ﺪﺷﺎﺑ .

هدﺎﺳ زا ﻲﻜﻳ لﺪﻣ ﻦﻳﺮﺗ

ﻪﻴﺒﺷ ﺖﻬﺟ ﺎﻫ يوﺮﻴﻧ يدﺪﻋ يزﺎﺳ

ﺳﻼﭘ ﺮﮕﻠﻤﻋ زا ﻲﺷﺎﻧ ﻲﻤﺠﺣ ﺶﻧارﺎﻜﻤﻫ و يﺎﺷ ﻂﺳﻮﺗ ﻲﻳﺎﻤ

] 7 [

ﺖﻬﺟ ﻲﻧﺎﻣز ﻂﺳﻮﺘﻣ ﻲﻄﺧ ﻊﻳزﻮﺗ ﻚﻳ زا نآ رد ﻪﻛ ﺪﺷ ﻪﺋارا ﻪﻴﺒﺷ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ رادﺮﺑ يزﺎﺳ

ﻲﻣ هدﺎﻔﺘﺳا ژﺎﺘﻟو ،ﺲﻧﺎﻛﺮﻓ ،ﺎﻫدوﺮﺘﻜﻟا هزاﺪﻧا ﻪﺑ نآ راﺪﻘﻣ و دﻮﺷ

دراد ﻲﮕﺘﺴﺑ اﻮﻫ ﺖﺑﺎﺛ صاﻮﺧ زا ﻲﺧﺮﺑ و ﺮﮕﻠﻤﻋ يدورو ]

7

، 8 [ .

نآ ﻦﻳا رد ﺎﻫ ﺎﻤﺳﻼﭘ تاﺮﻴﺛﺎﺗ ﻪﻛ ﺪﻨﺘﻓﺎﻳرد ﻲﺑﺮﺠﺗ ﻖﻳﺮﻃ ﻪﺑ لﺪﻣ

يد هدﺎﻣ زا هﺪﻴﺷﻮﭘ دوﺮﺘﻜﻟا ﻲﻧﺎﻗﻮﻓ ﺢﻄﺳ يور ﺮﺑ ﻂﻘﻓ ﻚﻳﺮﺘﻜﻟا

ﺖﺳا ﻪﺟﻮﺗ ﻞﺑﺎﻗ .

ﻦﻳا ﺮﺑ هوﻼﻋ

، نآ ﺎﻤﺳﻼﭘ تﺪﺷ ﻪﻛ ﺪﻨﺘﻓﺎﻳرد ﺎﻫ

اﻮﻫ ضﺮﻌﻣ رد دوﺮﺘﻜﻟا ﻪﺒﻟ يور ﺮﺑ و ﻪﺘﺷاد ار راﺪﻘﻣ ﻦﻳﺮﺘﺸﻴﺑ

ﻴﻧ ﻲﻜﻳﺮﺘﻜﻟا ناﺪﻴﻣ تﺪﺷ ﺶﻳاﺰﻓا ﺎﺑ راﺪﻘﻣ ﻦﻳا ﻲﻣ ﺶﻳاﺰﻓا ﺰ

ﺪﺑﺎﻳ .

نآ ﺎﻫ

، فﺮﺻ ﻦﻴﻨﭽﻤﻫ و تاﺪﻫﺎﺸﻣ ﻦﻳا زا هدﺎﻔﺘﺳا ﺎﺑ ﺮﻈﻧ

ﺖﺳا راﺬﮔﺮﻴﺛﺎﺗ ﺎﻤﺳﻼﭘ تﺪﺷ ﺮﺑ ﻪﻛ ﻲﻠﻣاﻮﻋ ﺮﻳﺎﺳ زا ندﺮﻛ

، ﻲﻟﺪﻣ

ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ نآ سﺎﺳا ﺮﺑ ﻪﻛ ﺪﻧدﺮﻛ ﻪﺋارا دوﺮﺘﻜﻟا يﻻﺎﺑ رد ﻚﭼﻮﻛ ﻲﺜﻠﺜﻣ ﻪﻴﺣﺎﻧ ﻚﻳ رد ﻂﻘﻓ ﻲﻳﺎﻤﺳﻼﭘ هﺪﻴﺷﻮﭘ هﺪﺷ ﻲﻣ ﻞﻴﻜﺸﺗ ﻧ و دﻮﺷ

لﺎﻤﻋا ﻲﻤﺠﺣ يوﺮﻴ ﻂﺳﻮﺗ هﺪﺷ

ﻲﻣ لﺎﻤﻋا لﺎﻴﺳ ﻪﺑ ﻪﻴﺣﺎﻧ ﻦﻳا رد ﻂﻘﻓ ﺰﻴﻧ ﺮﮕﻠﻤﻋ دﻮﺷ

. دﻮﺟو ﺎﺑ

،شور ﻦﻳا لﺎﻤﻋا ﻲﮔدﺎﺳ مﺎﺠﻧا ﻲﺑﺮﺠﺗ تﺎﻘﻴﻘﺤﺗ

نﺎﺸﻧ ﻪﺘﻓﺮﮔ

ﻲﻣ ﻲﻄﺧ ضﺮﻓ ﻪﻛ ﺪﻫد زا ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ ﻊﻳزﻮﺗ ندﻮﺑ

زا ﻞﺻﺎﺣ هﺪﻳﺪﭘ ﺮﺑ ﻢﻛﺎﺣ ﻚﻳﺰﻴﻓ ﺎﺑ ﻲﺒﺳﺎﻨﻣ قﺎﺒﻄﻧا ﺮﮕﻠﻤﻋ و ﻪﺘﺷاﺪﻧ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﺖﻬﺟ ﻲﺒﺳﺎﻨﻣ ﺖﻗد زا ﻪﺠﻴﺘﻧ رد

ﺖﺴﻴﻧ رادرﻮﺧﺮﺑ هﺪﻳﺪﭘ ﻦﻳا يزﺎﺴﻟﺪﻣ ]

9 [.

لﺪﻣ زا ﺮﮕﻳد ﻲﻜﻳ ﻲﻓﺮﻌﻣ يﺎﻫ

يوﺮﻴﻧ يزﺎﺴﻟﺪﻣ ﺖﻬﺟ هﺪﺷ

ﺶﻧارﺎﻜﻤﻫ و نزﻮﺳ ﻂﺳﻮﺗ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ ﻲﻤﺠﺣ ] 5

، 9 [ ﺪﺷ ﻪﺋارا . نآ ﻲﻳﺎﻀﻓ ﻊﻳزﻮﺗ ﻞﺣ ﻚﻤﻛ ﻪﺑ ،لﺪﻣ ﻦﻳا رد ﺎﻫ

فاﺮﻃا رد رﺎﺑ ﻲﻟﺎﮕﭼ و ﻲﻜﻳﺮﺘﻜﻟا ﻞﻴﺴﻧﺎﺘﭘ ناﻮﻨﻋ ﻪﺑ ﻪﻛ ﺮﮕﻠﻤﻋ

ﻪﺳﺪﻨﻫ ،ﺮﮕﻠﻤﻋ يدورو ژﺎﺘﻟو راﺪﻘﻣ زا ﻲﻌﺑﺎﺗ )

ﺖﻣﺎﺨﺿ و لﻮﻃ

ﺎﻫدوﺮﺘﻜﻟا ( يد هدﺎﻣ صاﻮﺧ و ﻲﻣ ﻒﻳﺮﻌﺗ ﻚﻳﺮﺘﻜﻟا

ﻊﻳزﻮﺗ ؛ﺪﻧﻮﺷ

ﻊﻗاو ترﻮﺻ ﻪﺑ ار ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ يوﺮﻴﻧ ﻪﻧﺎﻳاﺮﮔ

يزﺎﺴﻟﺪﻣ يﺮﺗ

ﺪﻧدﺮﻛ . نآ ترﻮﺻ ﻪﺑ ار ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ ،لﺪﻣ ﻦﻳا رد ﺎﻫ

ﻲﻟﺎﻤﻋا ژﺎﺘﻟو زا ﻲﻌﺑﺎﺗ تﻻدﺎﻌﻣ رد ﺲﭙﺳ و هدﺮﻛ ﻒﻳﺮﻌﺗ

ﺪﻧدﺮﻛ يراﺬﮕﻳﺎﺟ ﺲﻛﻮﺘﺳاﺮﻳﻮﻧ .

ﻚﻳدﺰﻧ ﻞﻴﻟد ﻪﺑ ﺞﻳﺎﺘﻧ ندﻮﺑ ﺮﺗ

ا رد ،ﻞﺻﺎﺣ ﻲﺑﺮﺠﺗ ﺞﻳﺎﺘﻧ ﻪﺑ لﺪﻣ ﻦﻳا زا ﻞﺻﺎﺣ زا ﻖﻴﻘﺤﺗ ﻦﻳ

ﺶﻧارﺎﻜﻤﻫ و نزﻮﺳ لﺪﻣ ]

5

، 9 [ ﻪﻴﺒﺷ ﺖﻬﺟ ﻲﻤﺠﺣ يوﺮﻴﻧ يزﺎﺳ

ﻲﻣ هدﺎﻔﺘﺳا ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ دﻮﺷ

.

تﺎﻘﻴﻘﺤﺗ نﻮﻨﻛﺎﺗ يدوﺪﺤﻣ

ﺮﮕﻠﻤﻋ زا هدﺎﻔﺘﺳا ﻪﻨﻴﻣز رد

ﺮﺜﻛا ﻪﻛ ﺖﺳا ﻪﺘﻓﺮﮔ مﺎﺠﻧا نﺎﻳﺮﺟ لﺮﺘﻨﻛ ﺖﻬﺟ ﻲﻳﺎﻤﺳﻼﭘ نآ

ﺎﻫ

ﻛ نﻮﭼ ﻲﺗﺎﻋﻮﺿﻮﻣ درﻮﻣ رد نﺎﻳﺮﺟ يزﺮﻣ ﻪﻳﻻ ﺶﻳاﺪﺟ لﺮﺘﻨ

مارآ ] 10 [ ﺮﺳ ناﺰﻴﻣ ﺶﻫﺎﻛ و لﺮﺘﻨﻛ ، و

اﺪﺻ ] 11

، 12 [ ﻦﻴﻨﭽﻤﻫ و

ﻞﻳﻮﻓﺮﻳا يور ﺮﺑ ﻲﻜﻴﻣﺎﻨﻳد لﺎﺘﺳا لﺮﺘﻨﻛ ﺎﻫ

] 13

، 14 [ ﺖﺳا هدﻮﺑ .

ﺎﺠﻧا تﺎﻘﻴﻘﺤﺗ ﺮﺜﻛا م

ﺮﮕﻠﻤﻋ يور ﺮﺑ ﻪﺘﻓﺮﮔ رد ﻲﻳﺎﻤﺳﻼﭘ يﺎﻫ

نﺎﻳﺮﺟ و ﻪﺘﻓﺮﮔ مﺎﺠﻧا ﻦﻴﻳﺎﭘ زﺪﻟﻮﻨﻳر داﺪﻋا زﺪﻟﻮﻨﻳر داﺪﻋا ﺎﺑ يﺎﻫ

ﻲﻤﻧ ﺮﺑرد ار ﻻﺎﺑ دﺮﻴﮔ

. ﻦﻳاﺮﺑﺎﻨﺑ

، زا هدﺎﻔﺘﺳا ﻖﻴﻘﺤﺗ ﻦﻳا رد فﺪﻫ

نﺎﻳﺮﺟ يزﺮﻣ ﻪﻳﻻ ﺶﻳاﺪﺟ لﺮﺘﻨﻛ رﻮﻈﻨﻣ ﻪﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﻲﻣ ﻻﺎﺑ زﺪﻟﻮﻨﻳر داﺪﻋا رد ﻪﺘﻔﺷآ ﺪﺷﺎﺑ

. ﻦﻴﻨﭽﻤﻫ

، ﻖﻴﻘﺤﺗ ﻦﻳا رد

،

ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ ﺮﻴﺛﺎﺗ ﻞﻳﻮﻓﺮﻳا ﻚﻳ يور

لﺪﻣ

NLF0414 ﻻﺎﺑ لﺎﺘﺳا ﻪﻳواز ﺎﺑ

ﻲﻣ ﻲﺳرﺮﺑ ﺚﺤﺒﻣ ﻪﻛ دﻮﺷ

نﻮﻨﻛﺎﺗ و هدﻮﺑ ﻪﻨﻴﻣز ﻦﻳا رد يﺪﻳﺪﺟ ﭻﻴﻫ

يور ﺮﺑ ﻲﺳرﺮﺑ ﻪﻧﻮﮔ

ﻞﻳﻮﻓﺮﻳا ﻦﻳا ﺖﺳا هﺪﺸﻧ مﺎﺠﻧا ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ رﻮﻀﺣ رد ﺎﻫ

.

ﻲﻓﺮﻃ زا

، ﺮﻴﺛﺎﺗ ﻲﺳرﺮﺑ ،ﻖﻴﻘﺤﺗ ﻦﻳا رد ﺮﮕﻠﻤﻋ رﻮﻀﺣ

ﻞﻳﻮﻓﺮﻳا يور ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺎﺑ رﻮﻛﺬﻣ

ود ﺮﻫ ﻪﺑ ،ﻻﺎﺑ زﺪﻟﻮﻨﻳر دﺪﻋ

يدﺪﻋ و ﻲﺑﺮﺠﺗ ترﻮﺻ

، مﺎﺠﻧا ﺖﺳا ﻪﺘﻓﺮﮔ زا ﻞﺻﺎﺣ ﺞﻳﺎﺘﻧ ﺎﺗ

ﻪﻴﺒﺷ هﺪﺷ ﻪﺴﻳﺎﻘﻣ ﻞﺻﺎﺣ ﻲﺑﺮﺠﺗ ﺞﻳﺎﺘﻧ ﺎﺑ ﻞﻳﻮﻓﺮﻳا يدﺪﻋ يزﺎﺳ

دﻮﺷ ﻞﺻﺎﺣ نﺎﻨﻴﻤﻃا يدﺪﻋ ﺞﻳﺎﺘﻧ ﺖﺤﺻ زا و .

نﺎﻤﻫ ﻪﻛ رﻮﻃ

ﺶﻴﭘ ﺪﺷ ﻪﺘﻔﮔ ﺮﺗ

، ﻲﺳرﺮﺑ ﻦﻳا رد ﺶﻧارﺎﻜﻤﻫ و نزﻮﺳ لﺪﻣ زا

] 5

، 9 [ ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ يزﺎﺴﻟﺪﻣ ﺖﻬﺟ يوﺮﻴﻧ ﺲﭙﺳ و هﺪﺷ هدﺎﻔﺘﺳا يدﺪﻋ ترﻮﺻ ﻪﺑ ﻲﻳﺎﻤﺳﻼﭘ

ﻞﻳﻮﻓﺮﻳا ﻲﻧﺎﻗﻮﻓ ﺢﻄﺳ يور ﺮﺑ ﻞﺻﺎﺣ ﻲﻤﺠﺣ و

ﻪﻠﺻﺎﻓ رد

6mm / 9 ﻞﻳﻮﻓﺮﻳا كﻮﻧ زا

، ﺢﻄﺳ يور ﺮﺑ ﺮﮕﻠﻤﻋ ﻪﻴﺒﻌﺗ ﻞﺤﻣ ﻪﻛ

ﺖﺳا ﻞﻳﻮﻓﺮﻳا ﻲﻧﺎﻗﻮﻓ

، ﻲﻣ لﺎﻤﻋا لﺎﻴﺳ ﻪﺑ ﺎﺗ دﻮﺷ

ﻪﻠﻴﺳو ﻦﻳﺪﺑ

ﺮﺑ ار ﺶﻳاﺪﺟ و هدﺮﻛ اﺪﻴﭘ ﺶﻳاﺰﻓا نﺎﻳﺮﺟ يزﺮﻣ ﻪﻳﻻ مﻮﺘﻨﻤﻣ ﻪﺑ ﻞﻳﻮﻓﺮﻳا ﺢﻄﺳ يور دزاﺪﻧا ﺮﻴﺧﺎﺗ

.

2 - ﻪﻴﺒﺷ يدﺪﻋ يزﺎﺳ زا ﻞﺻﺎﺣ يوﺮﻴﻧ

ﺮﮕﻠﻤﻋ

ﺎﻫوﺮﻴﻧ ﻊﻳزﻮﺗ ﻦﻴﻴﻌﺗ ياﺮﺑ و نزﻮﺳ لﺪﻣ ﻂﺳﻮﺗ ﻲﻤﺠﺣ ي

ﺶﻧارﺎﻜﻤﻫ ]

5 [ ، ﻪﻄﺑار زا ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ راﺪﻘﻣ

) 1 ( ﻲﻣ ﻪﺒﺳﺎﺤﻣ ﻞﺑﺎﻗ ﺪﺷﺎﺑ

.

) 1 ( E

f_b =ρ_c

[ Downloaded from mme.modares.ac.ir on 2022-10-31 ]

ﺮﺑ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ ﻚﻳ ﺮﺛا ﻲﺑﺮﺠﺗ و يدﺪﻋ ﻲﺳرﺮﺑ ﻲﻳارﺎﻛ

...

ﻲﺳﺎﻤﻠﺳ ﻪﻔﻃﺎﻋ رﺎﻜﻤﻫ و

نا

سرﺪﻣ ﻚﻴﻧﺎﻜﻣ ﻲﺳﺪﻨﻬﻣ

ةرود 12 ةرﺎﻤﺷ 6 ، ﺪﻨﻔﺳا

1391

107

فﺮﺻ ﻲﺴﻴﻃﺎﻨﻐﻣ ناﺪﻴﻣ ﻲﻧﺎﻣز تاﺮﻴﻴﻐﺗ زا ﺮﮔا دﻮﺷ ﺮﻈﻧ

، ﻪﻛ

رد ًﻻﻮﻤﻌﻣ تﻻدﺎﻌﻣ ،ﺖﺳا ﻪﻧﻮﮔ ﻦﻴﻤﻫ ﺰﻴﻧ ﺎﻤﺳﻼﭘ

لﻮﺴﻛﺎﻣ ﻪﺑ 1

ترﻮﺻ

≈0

×

∇ E

ﻲﻣ ﻪﺻﻼﺧ دﻮﺷ

] 15

، 16 [ . ﺖﺳﺎﻨﻌﻣ ﻦﻳﺪﺑ ﻦﻳا

ﻲﻣ ﻪﻛ زا ار ﻲﻜﻳﺮﺘﻜﻟا ناﺪﻴﻣ ناﻮﺗ يدﺪﻋ ﻞﻴﺴﻧﺎﺘﭘ ﻚﻳ نﺎﻳداﺮﮔ

دﺮﻛ ﻪﺒﺳﺎﺤﻣ .

) 2 (

Φ

−∇

= E

ﻢﻳراد سﻮﮔ نﻮﻧﺎﻗ زا هدﺎﻔﺘﺳا ﺎﺑ :

) 3 (

c

ρ ) (εE =

⋅

∇

ﺎﻳ و :

) 4 (

ρc

) (ε∇ =−

⋅

∇ Φ

قﻮﻓ ﻪﻄﺑار رد ﻪﻛ هزاﺪﻧا ﺪﺣاو ε

ﺐﺴﺣ ﺮﺑ ﻪﺘﻴﺴﻳﺮﺘﻜﻟا يﺮﻴﮔ

دارﺎﻓ ﻲﻣ ﻪﻛ ﺖﺳا2

ﻪﺑ ﺪﻧاﻮﺗ دﻮﺷ ﻪﺒﺳﺎﺤﻣ ﺮﻳز ترﻮﺻ .

) 5 (

o rε ε ε =

قﻮﻓ ﻪﻄﺑار رد

r ، هزاﺪﻧا ﺪﺣاو ε ﻲﺒﺴﻧ ﻪﺘﻴﺴﻳﺮﺘﻜﻟا يﺮﻴﮔ

و ﻂﺳﻮﺘﻣ εo

هزاﺪﻧا ﺪﺣاو ﺖﺳا دازآ يﺎﻀﻓ ﻪﺘﻴﺴﻳﺮﺘﻜﻟا يﺮﻴﮔ

.

ﻪﻟدﺎﻌﻣ زا ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ ﻪﻛ ﺖﺳا ﺺﺨﺸﻣ ﺪﻨﭼﺮﻫ ) 1 ( ﻢﻫ زﻮﻨﻫ ﺎﻣا ،دراد نﺎﻳﺮﺟ ناﺪﻴﻣ يور ﺮﺑ يدﺎﻳز ﺮﻴﺛﺎﺗ ﻪﻳﻻ يور ﺮﺑ ﺖﺟﺰﻟ ﺶﻫﺎﻛ و ﻲﻌﺿﻮﻣ يﺎﻣد ﺶﻳاﺰﻓا تاﺮﻴﺛﺎﺗ

ﺖﺳا هﺪﺸﻧ ظﺎﺤﻟ ﻪﻟدﺎﻌﻣ ﻦﻳا رد يزﺮﻣ .

نﺎﺸﻧ ﺮﻴﺧا تﺎﺒﺳﺎﺤﻣ

ﻲﻣ ﻲﻣ ﻪﻛ ﺪﻫد ﺮﺑ ﺖﺟﺰﻟ و ﺎﻣد تاﺮﻴﻴﻐﺗ زا ﻲﺷﺎﻧ تاﺮﻴﺛﺎﺗ زا ناﻮﺗ

فﺮﺻ ﻲﻳﺎﻤﺳﻼﭘ ﺮﮕﻠﻤﻋ زا ﻞﺻﺎﺣ ﻲﻤﺠﺣ يوﺮﻴﻧ يور و هدﺮﻛ ﺮﻈﻧ

دﺮﻛ ضﺮﻓ ﻊﺒﻨﻣ ﻪﻠﻤﺟ ﻚﻳ ﻪﺑ ﻪﻴﺒﺷ ﺮﺘﺸﻴﺑ ار ﺎﻤﺳﻼﭘ ﻪﻴﺣﺎﻧ .

ﻪﻜﻨﻳا ﻞﻴﻟد ﻪﺑ ﻪﺑ زﺎﮔ تارذ

ﻲﻣ هﺰﻴﻧﻮﻳ ﻲﺘﺨﺳ ﺪﻧﻮﺷ

، ﻲﻣ ناﻮﺗ

مﺮﺗ ﻞﻴﺴﻧﺎﺘﭘ دﺮﻛ ﻢﻴﺴﻘﺗ اﺰﺠﻣ ﺖﻤﺴﻗ ود ﻪﺑ ار Φ

: لوا مﺮﺗ

ﻲﺟرﺎﺧ ﻲﻜﻳﺮﺘﻜﻟا ناﺪﻴﻣ زا ﻞﺻﺎﺣ ﻞﻴﺴﻧﺎﺘﭘ ﻞﻣﺎﺷ )

(ϕ مﺮﺗ و

ﻞﺻﺎﺣ ﻞﻴﺴﻧﺎﺘﭘ ﻞﻣﺎﺷ ﻪﻛ مود ﻪﻴﺣﺎﻧ رد ﻞﻛ رﺎﺑ ﻲﻟﺎﮕﭼ زا

ﻲﻳﺎﻤﺳﻼﭘ )

(φ ﺖﺳا .

) 6 ( ϕ

φ+

= Φ

لﻮﻃ ﺮﮔا

3يﺎﺑد ﻚﭼﻮﻛ گرﺰﺑ هراﻮﻳد يور ﺮﺑ دﻮﺟﻮﻣ رﺎﺑ و

ﻲﻣ ،ﺪﺷﺎﺒﻧ ﻂﺳﻮﺗ ار ﺎﻤﺳﻼﭘ ﻪﻴﺣﺎﻧ رد رادرﺎﺑ تارذ ﻊﻳزﻮﺗ ناﻮﺗ

دﺮﻛ يزﺎﺴﻟﺪﻣ هراﻮﻳد يور ﺮﺑ دﻮﺟﻮﻣ ﻞﻴﺴﻧﺎﺘﭘ .

يﺎﺑد لﻮﻃ

d) (λ

ﻲﻣ ﻒﻳﺮﻌﺗ ﺮﻳز ترﻮﺻ ﻪﺑ دﻮﺷ

] 5 [:

) 7 (





 





= +

e i

e i o

d T T

T kT n e² ₀ λ ε

1. Maxwell 2. Permittivity 3. Debye

رد ﻪﻛ ﻪﻄﺑار ﻦﻳا

،ﻲﺗﺎﻣﺪﻘﻣ رﺎﺑ e no

،ﻪﻨﻴﻣز يﺎﻤﺳﻼﭘ ﻲﻟﺎﮕﭼ

k

ﺖﺑﺎﺛ ﻦﻣﺰﺘﻟﻮﺑ

،4

Ti e و ﻪﺑ ﺰﻴﻧ T

دوﺮﺘﻜﻟا و نﻮﻳ يﺎﻣد ﺐﻴﺗﺮﺗ

ﻲﻣ ﺪﺷﺎﺑ . ﻦﻳاﺮﺑﺎﻨﺑ

، ﻲﻣ لﻮﻣﺮﻓ ياﺮﺑ اﺰﺠﻣ ﻪﻟدﺎﻌﻣ ود زا ناﻮﺗ يﺪﻨﺑ

ﻲﻜﻳﺮﺘﻜﻟا ناﺪﻴﻣ ﻪﺑ طﻮﺑﺮﻣ ﻲﻟوا ﻪﻛ دﺮﻛ هدﺎﻔﺘﺳا ﻞﻴﺴﻧﺎﺘﭘ ود ﻦﻳا ﺎﻫدوﺮﺘﻜﻟا يور ﺮﺑ ﻲﻟﺎﻤﻋا ژﺎﺘﻟو زا ﻞﺻﺎﺣ ﻲﺟرﺎﺧ :

) 8 (

r

(ε ϕ) 0

∇ ⋅ ∇ =

ﺖﺳا رادرﺎﺑ تارذ زا ﻞﺻﺎﺣ ﻞﻴﺴﻧﺎﺘﭘ يﺮﮕﻳد و .

) 9 (

r c o

(ε φ) (ρ ε )

∇ ⋅ ∇ = −

ﻪﻟدﺎﻌﻣ رد )

8 ( ناﻮﻨﻋ ﻪﺑ ﺎﻫدوﺮﺘﻜﻟا يور ﺮﺑ ﻲﻟﺎﻤﻋا ژﺎﺘﻟو زا

ﻦﺘﻓﺎﻳ ياﺮﺑ يزﺮﻣ ﻂﻳاﺮﺷ ﻞﻴﺴﻧﺎﺘﭘ ﻊﻳزﻮﺗ

ﻲﻜﻳﺮﺘﻜﻟا )

(ϕ هدﺎﻔﺘﺳا

ﻲﻣ دﻮﺷ . ﻪﻴﺣﺎﻧ و يزﺮﻣ ﻂﻳاﺮﺷ ﻪﻟدﺎﻌﻣ ياﺮﺑ ﻲﺗﺎﺒﺳﺎﺤﻣ

) 8 ( رد

ﻞﻜﺷ 2 ﺖﺳا هﺪﺷ هداد نﺎﺸﻧ دوﺮﺘﻜﻟا ﺖﻔﺟ ﻚﻳ ياﺮﺑ .

ﻪﻟدﺎﻌﻣ 8 ﺪﻳﺎﺑ

، هﺪﺷ هداد نﺎﺸﻧ يزﺮﻣ ﻂﻳاﺮﺷ زا هدﺎﻔﺘﺳا ﺎﺑ

ﻞﻜﺷ رد 2 ﺐﺳﺎﻨﻣ راﺪﻘﻣ ﻦﻴﻨﭽﻤﻫ و εr

اﻮﻫ ياﺮﺑ

، دﻮﺷ ﻞﺣ . ﺮﺑ

زا ﻲﺒﺳﺎﻨﻣ ﻦﻴﮕﻧﺎﻴﻣ زا ﺪﻳﺎﺑ ﺰﻴﻧ هراﻮﻳد و اﻮﻫ نﺎﻴﻣ زﺮﻣ يور

1

εr

و

2

εr

ﺐﺳﺎﻨﻣ ﺖﻗد ﺎﺑ ،ﻲﻜﻳﺮﺘﻜﻟا ناﺪﻴﻣ ﺎﺗ دﻮﺷ هدﺎﻔﺘﺳا يﺮﺗ

،

ﻪﻴﺒﺷ دﻮﺷ يزﺎﺳ .

ﻪﺒﺳﺎﺤﻣ ﻲﮕﻧﻮﮕﭼ زا ﻲﻳﺎﻤﺷ εr

زﺮﻣ يور ﺮﺑ

ﻞﻜﺷ رد هراﻮﻳد و اﻮﻫ نﺎﻴﻣ 3

ﺖﺳا هﺪﺷ هداد نﺎﺸﻧ .

ﻞﻜﺷ ﻪﻟدﺎﻌﻣ ياﺮﺑ يزﺮﻣ ﻂﻳاﺮﺷ و ﻲﺗﺎﺒﺳﺎﺤﻣ ﻪﻴﺣﺎﻧ2 )

8 (

ﻞﻜﺷ هزاﺪﻧا ﺪﺣاو ﻪﺒﺳﺎﺤﻣ هﻮﺤﻧ 3 دارﺎﻓ ﺐﺴﺣ ﺮﺑ ﻪﺘﻴﺴﻳﺮﺘﻜﻟا يﺮﻴﮔ

زﺮﻣ يور ﺮﺑ ]

17 [

4. Boltzmann

[ Downloaded from mme.modares.ac.ir on 2022-10-31 ]

ﻪﻄﻘﻧ ﻞﻜﺷ ﻦﻳا رد 1

ﻪﻄﻘﻧ ،اﻮﻫ ﺖﻤﺳ يور ﺮﺑ 2

يور ﺮﺑ

يد هدﺎﻣ ﺖﻤﺳ ﻚﻳﺮﺘﻜﻟا

و ﻪﻄﻘﻧ f ﺮﺑ يور هدﺎﻣ و اﻮﻫ نﺎﻴﻣ زﺮﻣ

يد ﺖﺳا ﻪﺘﻓﺮﮔ راﺮﻗ ﻚﻳﺮﺘﻜﻟا .

ﺮﺑ زﺮﻣ يور ﻲﻜﻳﺮﺘﻜﻟا ناﺪﻴﻣ ،

ﻞﻜﺷ رد هﺪﺷ هداد نﺎﺸﻧ 3

ﻲﻣ ﻪﺒﺳﺎﺤﻣ ﺮﻳز ترﻮﺻ ﻪﺑ دﻮﺷ

.

) 10 (







∆

= −







∆

= −











∆

−

2 2

2

1 1 1 12

2 1

ε φ φ ε

φ φ ε

φ φ

f f f

f

f

x x x

هزاﺪﻧا ﺪﺣاو ﻦﺘﻓﺎﻳ ياﺮﺑ زﺮﻣ ﻪﺘﻴﺴﻳﺮﺘﻜﻟا يﺮﻴﮔ

f ) (ε ﺪﻳﺎﺑ ،

نﺎﻴﻣ هزاﺪﻧا ﺪﺣاو ﻦﻴﺑ ﻲﺒﺳﺎﻨﻣ ﻲﺑﺎﻳ اﻮﻫ ﻪﺘﻴﺴﻳﺮﺘﻜﻟا يﺮﻴﮔ

1 ) (ε و

هزاﺪﻧا ﺪﺣاو يد هدﺎﻣ ﻪﺘﻴﺴﻳﺮﺘﻜﻟا يﺮﻴﮔ

ﻚﻳﺮﺘﻜﻟا

2) (ε ﺮﻳز ﻮﺤﻧ ﻪﺑ

مﺎﺠﻧا دﻮﺷ :

) 11 (

12 1 2 12

2 1

2 1

x x x

x_{f f}

f

∆ + ∆

∆

= ∆

ε ε

ε ε ε

لﺎﻤﻋا ﻢﻴﻘﺘﺴﻣ ژﺎﺘﻟو ﻂﻳاﺮﺷ ناﻮﻨﻋ ﻪﺑ ﻲﻳﻻﺎﺑ دوﺮﺘﻜﻟا ﻪﺑ هﺪﺷ

زا ﺖﺳا ترﺎﺒﻋ يزﺮﻣ :

) 12 (

) ( )

(t φ^maxf t φ =

ﻲﻣ ار جﻮﻣ ﺪﻴﻟﻮﺗ ﻊﺑﺎﺗ و ﻲﺳﻮﻨﻴﺳ جﻮﻣ ﻚﻳ ترﻮﺻ ﻪﺑ ناﻮﺗ

ﻪﻄﺑار ترﻮﺻ ﻪﺑ ﺮﻳز

:

) 13 ( )

2 sin(

)

(t t

f = πω

دﺮﻛ ضﺮﻓ ﺮﻳز ترﻮﺻ ﻪﺑ ﻲﻌﺑﺮﻣ جﻮﻣ ﻚﻳ ترﻮﺻ ﻪﺑ ﺎﻳ و :

) 14 (







<

−

≥

= 1 sin(2 ) 0

0 ) 2 sin(

1 )

( for t

t for

t

f πω

πω

قﻮﻓ ﻪﻄﺑار رد ﻪﻛ و ﺲﻧﺎﻛﺮﻓ ω

φmax

ﻲﻣ جﻮﻣ ﻪﻨﻣاد ﺪﺷﺎﺑ

.

ﺎﺗ دﻮﺷ ضﺮﻓ ﻦﻴﻣز ناﻮﻨﻋ ﻪﺑ ﻲﻨﻴﻳﺎﭘ دوﺮﺘﻜﻟا ﻪﻛ ﺖﺳا ﺮﺘﻬﺑ ﺖﻓﺮﮔ ﺮﻈﻧرد ﺮﻔﺻ ار نآ يور ﺮﺑ ﻲﻜﻳﺮﺘﻜﻟا ﻞﻴﺴﻧﺎﺘﭘ راﺪﻘﻣ ناﻮﺘﺑ .

طﺮﺷ ﺰﻴﻧ ﻲﻧوﺮﻴﺑ يﺎﻫزﺮﻣ رد

=0

∂

∂φ n

ﺖﺳا راﺮﻗﺮﺑ .

راﺪﻘﻣ

ﻞﻛ رﺎﺑ ﻲﻟﺎﮕﭼ ﻲﻣ ﺰﻴﻧ ار ﺎﻤﺳﻼﭘ ﻞﺧاد رد ﻪﻄﻘﻧ ﺮﻫ رد

زا ناﻮﺗ

دﺮﻛ ﻪﺒﺳﺎﺤﻣ ﺮﻳز ﻪﻄﺑار .

) 15 (

c o i e o

o

i e

o

e(n n )

en [exp(e kT ) exp(e kT )]

ρ ε ε

φ φ

ε

= −

≈ − +

ﻪﻄﺑار ﻦﻳا رد ﻪﻛ

ni e و ﻪﺑ n

رد دوﺮﺘﻜﻟا و نﻮﻳ ﻲﻟﺎﮕﭼ ﺐﻴﺗﺮﺗ

ﺎﻤﺳﻼﭘ ﻞﺧاد و

ﭘ φ ﺖﺳا ﻲﻌﺿﻮﻣ ﻲﻜﻳﺮﺘﻜﻟا ﻞﻴﺴﻧﺎﺘ .

ﻂﺴﺑ ﺎﺑ

يﺮﺳ ﻂﺳﻮﺗ ﻲﻳﺎﻤﻧ ﻊﺑاﻮﺗ ياﺮﺑ رﻮﻠﻴﺗ يﺎﻫ

<<T

ﻪﻟدﺎﻌﻣ ϕ ) 15 (

ﻲﻣ ﻪﺻﻼﺧ ﺮﻳز ﻪﻟدﺎﻌﻣ ﻪﺑ دﻮﺷ

.

) 16 ( ε ϕ

ε

ρ 1 )]

( 1 ) )[(

(

2

e i o

o o

c

kT kT n

e +

−

=

ﻪﻟدﺎﻌﻣ زا هدﺎﻔﺘﺳا ﺎﺑ ﺲﭙﺳ )

7 ( ﻲﻣ ﻪﻟدﺎﻌﻣ ناﻮﺗ )

16 ( ﻪﺑ ار

دﺮﻛ ﻪﺻﻼﺧ ﺮﻳز ترﻮﺻ :

) 17 ( ϕ

λ ε

ρ_{c o}=(−1 ²_d)

ًﺎﺒﻗﺎﻌﺘﻣ و ﺑ ﺮﻳز ترﻮﺻ ﻪﺑ ﺰﻴﻧ ﻲﻜﻳﺮﺘﻜﻟا ﻞﻴﺴﻧﺎﺘﭘ

ﻪ ﻲﻣ ﺖﺳد ﺪﻳآ

:

) 18 ( )

( ρcλ²d εo

ϕ= −

ﻪﻟدﺎﻌﻣ يراﺬﮕﻳﺎﺟ ﺎﺑ )

18 ( ﻪﻟدﺎﻌﻣ رد )

9 ( ﻪﻄﺑار ﺮﺑ يا

مﺮﺗ ﺐﺴﺣ ﺎﻤﺳﻼﭘ ﻞﺧاد رد ﻪﻄﻘﻧ ﺮﻫ رد ﻞﻛ رﺎﺑ ﻲﻟﺎﮕﭼ يﺎﻫ

ﺑ ﻪ ﻲﻣ ﺖﺳد ﺪﻳآ

.

) 19 (

2 d c c

r ρ ) ρ λ

(ε∇ =

⋅

∇

ﻦﺘﻓﺎﻳ ياﺮﺑ ρc

ﻪﻟدﺎﻌﻣ ، )

19 ( ﺎﺑ و اﻮﻫ ﻪﻴﺣﺎﻧ رد ﻂﻘﻓ ﺪﻳﺎﺑ

ﻞﻜﺷ رد هﺪﺷ هداد نﺎﺸﻧ يزﺮﻣ ﻂﻳاﺮﺷ 4

دﻮﺷ ﻞﺣ .

ﻞﻜﺷ ﻪﻟدﺎﻌﻣ ﻞﺣ ياﺮﺑ يزﺮﻣ ﻂﻳاﺮﺷ و ﻲﺗﺎﺒﺳﺎﺤﻣ ﻪﻴﺣﺎﻧ4 )

19 (

يور ﺮﺑ ﻞﻛ رﺎﺑ ﻲﻟﺎﮕﭼ ياﺮﺑ ﺮﻔﺻ يدﻮﻤﻋ نﺎﻳداﺮﮔ طﺮﺷ هراﻮﻳد ﻲﻣﺎﻤﺗ ﺪﻣﺎﺟ يﺎﻫ

، ﺣﺎﻧ ﺰﺟ ﻪﺑ ﻪﻴ

دوﺮﺘﻜﻟا ﻂﺳﻮﺗ ﻪﻛ يا

رد ﻲﻨﻴﻳﺎﭘ ﺮﺑ

ﺳا هﺪﺷ ﻪﺘﻓﺮﮔ

،ﺖ ﻲﻣ لﺎﻤﻋا ياﺮﺑ رﺎﺑ ﻲﻟﺎﮕﭼ و دﻮﺷ

ﻲﻣ ﻪﺘﻓﺮﮔ ﺮﻈﻧرد ﺮﻔﺻ ﺰﻴﻧ ﻲﺟرﺎﺧ يﺎﻫزﺮﻣ دﻮﺷ

. ﻦﻴﻳﺎﭘ رد ﺖﺳد

رﺎﺑ ﻲﻟﺎﮕﭼ ،ﻲﻨﻴﻳﺎﭘ دوﺮﺘﻜﻟا ﻪﻴﺣﺎﻧ يﻻﺎﺑ ،اﻮﻫ ضﺮﻌﻣ رد دوﺮﺘﻜﻟا لﺎﻤﻋا ژﺎﺘﻟو ﻲﻧﺎﻣز تاﺮﻴﻴﻐﺗ ﺎﺑ ﻪﻛ دﻮﺷ ﻒﻳﺮﻌﺗ ﻲﺗرﻮﺻ ﻪﺑ ﺪﻳﺎﺑ يور ﺮﺑ هﺪﺷ ﺪﻨﻛ ﺖﻘﺑﺎﻄﻣ ﻲﻧﺎﻗﻮﻓ دوﺮﺘﻜﻟا

.

) 20 ( )

( ) ( )

,

( ^max

,_w xt _c G x f t

c ρ

ρ =

قﻮﻓ ﻪﻄﺑار رد ﻪﻛ

،

max

ρc

رد رﺎﺑ ﻲﻟﺎﮕﭼ زﺎﺠﻣ راﺪﻘﻣ ﻢﻤﻳﺰﻛﺎﻣ

ﻪﻴﺣﺎﻧ ) ﺐﺴﺣ ﺮﺑ

m3

Coulomb

( ﺖﺳا . ﺮﺑ رﺎﺑ ﻲﻟﺎﮕﭼ تاﺮﻴﻴﻐﺗ

هراﻮﻳد يور

w

ρc,

ﺖﻬﺟ رد نﺎﻳﺮﺟ

) (x مﺎﻧ ﻪﺑ ﻊﺑﺎﺗ ﻚﻳ ﻂﺳﻮﺗ

) G(x

ﻲﻣ ﻒﻳﺮﻌﺗ دﻮﺷ

، ﻪﻛ

) G(x

ﻲﻣ ار ﻪﺑ ناﻮﺗ ﻪﻧﻮﮔ ﻦﻴﻴﻌﺗ يا

ﻲﺒﺳﺎﻨﻣ ﺖﻗد ﺎﺑ ار ﻲﻨﻴﻳﺎﭘ دوﺮﺘﻜﻟا يور ﺮﺑ ﺎﻤﺳﻼﭘ ﻊﻳزﻮﺗ ﻪﻛ دﺮﻛ ﺒﺷ ﻪﻴ ﺪﻨﻛ يزﺎﺳ .

نﺎﺸﻧ ﻲﺑﺮﺠﺗ تﺎﻌﻟﺎﻄﻣ ﻲﻣ

ﻊﻳزﻮﺗ ﻪﻛ ﺪﻫد

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