بررسی اثرات اتلاف لزجت روی انتقال حرارت سیال گازی در میکروکانال افقی با وجود رقت و هدایت محوری

رد يزﺎـﮔ لﺎﯿـﺳ تراﺮـﺣ لﺎـﻘﺘﻧا يور ﺖـﺟﺰﻟ فﻼـﺗا

ﻞﻣﺎﮐ ﯽﺸﻫوﮋﭘ ﻪﻟﺎﻘﻣ

ﯾ ﺖﻓﺎ 26 / 7 / 91

ﯾ شﺮ 9 / 12 / 91

ﺎﺳ ﯾ ﺖ 30 / 3 /

92

رد يزﺎـﮔ لﺎﯿـﺳ تراﺮـﺣ لﺎـﻘﺘﻧا يور ﺖـﺟﺰﻟ فﻼـﺗا

.ﺖﺳا هﺪﺷ ﯽﺳرﺮﺑ يدﺪﻋ ترﻮﺻ ﻪﺑ ﺖﻋﺮﺳ

و يﺎﻣد

ﺖﺳا ﻢﮐﺎﺣ لﺎﻧﺎﮐ .

لﻮﻃ

ﻢﮐﺎﺣ تﻻدﺎﻌﻣ يزﺎﺳ

،ﺖﺟﺰﻟ

،ﺖﻗر ﺖﯾاﺪﻫ

لﺎﻧﺎﮐ رد دﺎﻌﺑا ﺎﺑ يﺎﻫ دﺪﻋ زا ﻞﻘﺘﺴﻣ

ﺖﻠﺳﺎﻧ دﺪﻋ يور ﺮﺑ ﻪﻠﮑﭘ دﺪﻋ ﺶﯾاﺰﻓا ﺮﺛا

Effect of

in a horizontal microchannel with rarefaction and conduction

R. Mazooji

1- MSc. Student, Mech. Eng., Shahrekord Univ., Shahrekord, Iran 2- Assis. Prof., Mech. Eng.,

* P. O. B. 115 Shahrekord,

Abstract- H

and temperature at the channel inlet is uniform and

temperature jump boundary conditions, according to the slip flow reg developed flow at the outlet

discrete equations are solved using SIMPLE

rarefaction, axial conduction and thermal creep on heat transfer

Nusselt number in microchannels has a different value than in conventional channels.

experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman number values

increases,there is a weak

Keywords: Microchannel, Slip flow,

ﻞﻣﺎﮐ ﯽﺸﻫوﮋﭘ ﻪﻟﺎﻘﻣ رد ﺦﯾرﺎﺗ ﯾ

ﺬﭘ ﺦﯾرﺎﺗ ﯾ

ﻪﺋارا رد ﺎﺳ

رد يزﺎـﮔ لﺎﯿـﺳ تراﺮـﺣ لﺎـﻘﺘﻧا يور ﺖـﺟﺰﻟ فﻼـﺗا

.ﺖﺳا هﺪﺷ ﯽﺳرﺮﺑ يدﺪﻋ ترﻮﺻ ﻪﺑ راﻮﯾد يور ،نﺎﯾﺮﺟ ﯽﺷﺰﻐﻟ ﻢﯾژر ﻪﺑ ه

ﺖﺳا ﻢﮐﺎﺣ لﺎﻧﺎﮐ

.ﺪﺷﺎﺑ راﺮﻗﺮﺑ ﯽﯾﺎﻣد و ﯽﮑﯿﻣﺎﻨﯾدورﺪﯿﻫ ﯽﮕﺘﻓﺎﯾ ﻪﺘﺴﺴﮔ

ﻢﮐﺎﺣ تﻻدﺎﻌﻣ يزﺎﺳ

ﻪﻠﻤﺟ فﻼﺗا

،ﺖﺟﺰﻟ

ﺎﺑ نآ ﺮﯾدﺎﻘﻣ لﺎﻧﺎﮐ رد

ﻪﮐ شﺮﭘ راﺪﻘﻣ

،

ﺖﻠﺳﺎﻧ دﺪﻋ يور ﺮﺑ ﻪﻠﮑﭘ دﺪﻋ ﺶﯾاﺰﻓا ﺮﺛا

Effect of viscous dissipation on gaseous flow heat transfer in a horizontal microchannel with rarefaction and

conduction

R. Mazooji¹, A. Raisi

MSc. Student, Mech. Eng., Shahrekord Univ., Shahrekord, Iran Prof., Mech. Eng., Shahrekord Univ., Shahrekord, Iran

Shahrekord, Iran.

Hydrodynamics and Heat transfer of a and temperature at the channel inlet is uniform and

temperature jump boundary conditions, according to the slip flow reg flow at the outlet

discrete equations are solved using SIMPLE

rarefaction, axial conduction and thermal creep on heat transfer

Nusselt number in microchannels has a different value than in conventional channels.

experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman values. Heat transfer is

there is a weak increase in fully developed Nu number values but there is significant effect of Kn number on it.

Microchannel, Slip flow,

رد يزﺎـﮔ لﺎﯿـﺳ تراﺮـﺣ لﺎـﻘﺘﻧا يور ﺖـﺟﺰﻟ فﻼـﺗا يرﻮﺤﻣ

.ﺖﺳا هﺪﺷ ﯽﺳرﺮﺑ يدﺪﻋ ترﻮﺻ ﻪﺑ راﻮﯾد يور ،نﺎﯾﺮﺟ ﯽﺷﺰﻐﻟ ﻢﯾژر ﻪﺑ

.ﺪﺷﺎﺑ راﺮﻗﺮﺑ ﯽﯾﺎﻣد و ﯽﮑﯿﻣﺎﻨﯾدورﺪﯿﻫ ﯽﮕﺘﻓﺎﯾ يﺎﻫﺮﺘﻣارﺎﭘ

،ﻒﻠﺘﺨﻣ زا ﻪﻠﻤﺟ

لﺎﻧﺎﮐوﺮﮑﯿﻣ رد ﺖﻠﺳﺎﻧ دﺪﻋ ﺮﯾدﺎﻘﻣ ﻪﮐ ﺖﺳا نآ ﺎﻫ

ﺎﺑ

ﯽﻌﺿﻮﻣ ﯽﻣ دﻮﺷ

ﻢﻫ ﻦﯿﻨﭼ ﺖﻠﺳﺎﻧ دﺪﻋ يور ﺮﺑ ﻪﻠﮑﭘ دﺪﻋ ﺶﯾاﺰﻓا ﺮﺛا

iscous dissipation on gaseous flow heat transfer in a horizontal microchannel with rarefaction and

si^2*

MSc. Student, Mech. Eng., Shahrekord Univ., Shahrekord, Iran Shahrekord Univ., Shahrekord, Iran Iran. raisi@eng.sku.ac.ir

ydrodynamics and Heat transfer of a and temperature at the channel inlet is uniform and

temperature jump boundary conditions, according to the slip flow reg flow at the outlet. The numerical

discrete equations are solved using SIMPLE

rarefaction, axial conduction and thermal creep on heat transfer

Nusselt number in microchannels has a different value than in conventional channels.

experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman . Heat transfer is affected in two opposite directions by rarefaction increasing.

increase in fully developed Nu number values but there is significant effect of Kn number on it.

Microchannel, Slip flow, Rarefaction,

http://mme.modares.ac.ir

83 - 95

رد يزﺎـﮔ لﺎﯿـﺳ تراﺮـﺣ لﺎـﻘﺘﻧا يور ﺖـﺟﺰﻟ فﻼـﺗا ﺖﯾاﺪﻫ و ﺖﻗر دﻮﺟو

يرﻮﺤﻣ

لﺎﻧﺎﮐوﺮﮑﯿﻣ ﮏ .ﺖﺳا هﺪﺷ ﯽﺳرﺮﺑ يدﺪﻋ ترﻮﺻ ﻪﺑ

ﻪﺟﻮﺗ ﺎﺑ ،ﺎﻣد شﺮﭘ و ﺖﻋﺮﺳ شﺰﻐﻟ يزﺮﻣ طﺮﺷ راﻮﯾد يور ،نﺎﯾﺮﺟ ﯽﺷﺰﻐﻟ ﻢﯾژر ﻪﺑ

.ﺪﺷﺎﺑ راﺮﻗﺮﺑ ﯽﯾﺎﻣد و ﯽﮑﯿﻣﺎﻨﯾدورﺪﯿﻫ ﯽﮕﺘﻓﺎﯾ تاﺮﺛا .ﺪﻧا يﺎﻫﺮﺘﻣارﺎﭘ

لﺎﻧﺎﮐوﺮﮑﯿﻣ رد ﺖﻠﺳﺎﻧ دﺪﻋ ﺮﯾدﺎﻘﻣ ﻪﮐ ﺖﺳا نآ رد

دﺪﻋ ﻧﺎ ﺖﻠﺳ ﯽﻌﺿﻮﻣ

راﺮﻗ ﺮﯿﺛ ﯽﻣ ﺪﻫد . ﻢﻫ

.ﺖﺳا هدﻮﺑ ﻪﻈﺣﻼﻣ ﻞﺑﺎﻗ و يﻮﻗ نآ يور ﺮﺑ ﺖﻗر ﺮﺛا ﻪﮐ

iscous dissipation on gaseous flow heat transfer in a horizontal microchannel with rarefaction and

MSc. Student, Mech. Eng., Shahrekord Univ., Shahrekord, Iran Shahrekord Univ., Shahrekord, Iran

raisi@eng.sku.ac.ir

ydrodynamics and Heat transfer of a gaseous flow in

and temperature at the channel inlet is uniform and the rarefaction effect is imposed to the problem via temperature jump boundary conditions, according to the slip flow reg

The numerical methodology is based on the control volume finite difference scheme and discrete equations are solved using SIMPLE algorithm. Effects of

rarefaction, axial conduction and thermal creep on heat transfer

Nusselt number in microchannels has a different value than in conventional channels.

experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman ffected in two opposite directions by rarefaction increasing.

increase in fully developed Nu number values but there is significant effect of Kn number on it.

Rarefaction, Temperature

http://mme.modares.ac.ir

هرود ، 13 هرﺎﻤﺷ 6 ص ص

رد يزﺎـﮔ لﺎﯿـﺳ تراﺮـﺣ لﺎـﻘﺘﻧا يور ﺖـﺟﺰﻟ فﻼـﺗا ﺖﯾاﺪﻫ و ﺖﻗر دﻮﺟو

نﺎﯾﺮﺟ تراﺮﺣ لﺎﻘﺘﻧا و ﮏﯿﻣﺎﻨﯾدورﺪﯿﻫ يزﺎﮔ

ﯾ نورد لﺎﻧﺎﮐوﺮﮑﯿﻣ ﮏ

ﻪﺟﻮﺗ ﺎﺑ ،ﺎﻣد شﺮﭘ و ﺖﻋﺮﺳ شﺰﻐﻟ يزﺮﻣ طﺮﺷ ﻪﻌﺳﻮﺗ طﺮﺷ ﺎﻬﺘﻧا رد ﺎﺗ هﺪﺷ .ﺪﺷﺎﺑ راﺮﻗﺮﺑ ﯽﯾﺎﻣد و ﯽﮑﯿﻣﺎﻨﯾدورﺪﯿﻫ ﯽﮕﺘﻓﺎﯾ

هﺪﺷ ﻞﺣ ﻞﭙﻤﯿﺳ ﻢﺘﯾرﻮﮕﻟا زا هدﺎﻔﺘﺳا ﺎﺑ تاﺮﺛا .ﺪﻧا

لﺎﻧﺎﮐوﺮﮑﯿﻣ رد ﺖﻠﺳﺎﻧ دﺪﻋ ﺮﯾدﺎﻘﻣ ﻪﮐ ﺖﺳا نآ شﺮﭘ يﺮﯿﮕﻤﺸﭼ

ﺗ ﺖﺤﺗ ﻒﻟﺎﺨﻣ ﺖﻬﺟ ود رد ار تراﺮﺣ لﺎﻘﺘﻧا ﺄ

راﺮﻗ ﺮﯿﺛ

.ﺖﺳا هدﻮﺑ ﻪﻈﺣﻼﻣ ﻞﺑﺎﻗ و يﻮﻗ نآ يور ﺮﺑ ﺖﻗر ﺮﺛا ﻪﮐ ﺖﺟﺰﻟ فﻼﺗا

.

iscous dissipation on gaseous flow heat transfer in a horizontal microchannel with rarefaction and

gaseous flow in

the rarefaction effect is imposed to the problem via temperature jump boundary conditions, according to the slip flow reg

ology is based on the control volume finite difference scheme and algorithm. Effects of

rarefaction, axial conduction and thermal creep on heat transfer

Nusselt number in microchannels has a different value than in conventional channels.

experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman ffected in two opposite directions by rarefaction increasing.

increase in fully developed Nu number values but there is significant effect of Kn number on it.

Temperature Jump, Viscous

http://mme.modares.ac.ir

رﻮﯾﺮﻬﺷ 1392 هرود ،

رد يزﺎـﮔ لﺎﯿـﺳ تراﺮـﺣ لﺎـﻘﺘﻧا يور ﺖـﺟﺰﻟ فﻼـﺗا ﺖﯾاﺪﻫ و ﺖﻗر دﻮﺟو

* دﺮﮐﺮﻬﺷ ،دﺮﮐﺮﻬﺷ

نﺎﯾﺮﺟ تراﺮﺣ لﺎﻘﺘﻧا و ﮏﯿﻣﺎﻨﯾدورﺪﯿﻫ ﻪﺟﻮﺗ ﺎﺑ ،ﺎﻣد شﺮﭘ و ﺖﻋﺮﺳ شﺰﻐﻟ يزﺮﻣ طﺮﺷ

ﻪﻌﺳﻮﺗ طﺮﺷ ﺎﻬﺘﻧا رد ﺎﺗ هﺪﺷ هﺪﺷ ﻞﺣ ﻞﭙﻤﯿﺳ ﻢﺘﯾرﻮﮕﻟا زا هدﺎﻔﺘﺳا ﺎﺑ

.ﺖﺳا ﺮﮕﻧﺎﯿﺑ ﺞﯾﺎﺘﻧ لﺎﻧﺎﮐوﺮﮑﯿﻣ رد ﺖﻠﺳﺎﻧ دﺪﻋ ﺮﯾدﺎﻘﻣ ﻪﮐ ﺖﺳا نآ

،ﺖﺟﺰﻟ ﺐﺒﺳ دﺎﺠﯾا شﺮﭘ

ﺗ ﺖﺤﺗ ﻒﻟﺎﺨﻣ ﺖﻬﺟ ود رد ار تراﺮﺣ لﺎﻘﺘﻧا .ﺖﺳا هدﻮﺑ ﻪﻈﺣﻼﻣ ﻞﺑﺎﻗ و يﻮﻗ نآ يور ﺮﺑ ﺖﻗر ﺮﺛا ﻪﮐ

،ﯽﯾﺎﻣد شﺮﭘ ﺖﺟﺰﻟ فﻼﺗا

iscous dissipation on gaseous flow heat transfer in a horizontal microchannel with rarefaction and

gaseous flow in microchannel

the rarefaction effect is imposed to the problem via

temperature jump boundary conditions, according to the slip flow regime. The channel is sufficiently long to reach fully ology is based on the control volume finite difference scheme and algorithm. Effects of various parameters suc

rarefaction, axial conduction and thermal creep on heat transfer have been considered.

Nusselt number in microchannels has a different value than in conventional channels.

experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman ffected in two opposite directions by rarefaction increasing.

increase in fully developed Nu number values but there is significant effect of Kn number on it.

Viscous Dissipation

ﯽﺸﻫوﮋﭘ ﯽﻤﻠﻋ ﻪﻠﺠﻣ

رد يزﺎـﮔ لﺎﯿـﺳ تراﺮـﺣ لﺎـﻘﺘﻧا يور ﺖـﺟﺰﻟ فﻼـﺗا

ﺎﺑ ﯽﻘﻓا لﺎﻧﺎﮐوﺮﮑﯿﻣ ﺖﯾاﺪﻫ و ﺖﻗر دﻮﺟو

ﯽﺴﯿﺋر بﺎﯿﺳاﺮﻓا

2

*

هﺎﮕﺸﻧاد ،ﮏﯿﻧﺎﮑﻣ ﯽﺳﺪﻨﻬﻣ ﺪﺷرا ﯽﺳﺎﻨﺷرﺎﮐ يﻮﺠﺸﻧاد دﺮﮐﺮﻬﺷ ،دﺮﮐﺮﻬﺷ

دﺮﮐﺮﻬﺷ ،دﺮﮐﺮﻬﺷ هﺎﮕﺸﻧاد ،ﮏﯿﻧﺎﮑﻣ ﯽﺳﺪﻨﻬﻣ رﺎﯾدﺎﺘﺳا

raisi@eng.sku.ac.ir

نﺎﯾﺮﺟ تراﺮﺣ لﺎﻘﺘﻧا و ﮏﯿﻣﺎﻨﯾدورﺪﯿﻫ و ﺖﺳا ﻪﺟﻮﺗ ﺎﺑ ،ﺎﻣد شﺮﭘ و ﺖﻋﺮﺳ شﺰﻐﻟ يزﺮﻣ طﺮﺷ

ﻪﺘﻓﺮﮔ ﺮﻈﻧ رد ﺪﻨﻠﺑ ﯽﻓﺎﮐ ﻪﻌﺳﻮﺗ طﺮﺷ ﺎﻬﺘﻧا رد ﺎﺗ هﺪﺷ

و هﺪﺷ مﺎﺠﻧا لﺮﺘﻨﮐ هﺪﺷ ﻞﺣ ﻞﭙﻤﯿﺳ ﻢﺘﯾرﻮﮕﻟا زا هدﺎﻔﺘﺳا ﺎﺑ

ﯽﺳرﺮﺑ هﺪﺷ .ﺖﺳا

ﻦﺘﻓﺮﮔ فﻼﺗا

،ﺖﺟﺰﻟ

ﺗ ﺖﺤﺗ ﻒﻟﺎﺨﻣ ﺖﻬﺟ ود رد ار تراﺮﺣ لﺎﻘﺘﻧا .ﺖﺳا هدﻮﺑ ﻪﻈﺣﻼﻣ ﻞﺑﺎﻗ و يﻮﻗ نآ يور ﺮﺑ ﺖﻗر ﺮﺛا ﻪﮐ

،ﺖﻗر ،ﯽﺷﺰﻐﻟ

،ﯽﯾﺎﻣد شﺮﭘ

iscous dissipation on gaseous flow heat transfer in a horizontal microchannel with rarefaction and

microchannels is perform the rarefaction effect is imposed to the problem via

The channel is sufficiently long to reach fully ology is based on the control volume finite difference scheme and

parameters suc

been considered. The results indicate that the Nusselt number in microchannels has a different value than in conventional channels. Local Nu number

experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman ffected in two opposite directions by rarefaction increasing.

increase in fully developed Nu number values but there is significant effect of Kn number on it.

Dissipation.

تاﺮﺛا ﯽﺳرﺮﺑ رد يزﺎـﮔ لﺎﯿـﺳ تراﺮـﺣ لﺎـﻘﺘﻧا يور ﺖـﺟﺰﻟ فﻼـﺗا

ﺎﺑ ﯽﻘﻓا لﺎﻧﺎﮐوﺮﮑﯿﻣ

ﯽﺟوزﺎﻣ رﺎﯿﻣار ،1

ﯽﺴﯿﺋر بﺎﯿﺳاﺮﻓا

هﺎﮕﺸﻧاد ،ﮏﯿﻧﺎﮑﻣ ﯽﺳﺪﻨﻬﻣ ﺪﺷرا ﯽﺳﺎﻨﺷرﺎﮐ يﻮﺠﺸﻧاد دﺮﮐﺮﻬﺷ ،دﺮﮐﺮﻬﺷ هﺎﮕﺸﻧاد ،ﮏﯿﻧﺎﮑﻣ ﯽﺳﺪﻨﻬﻣ رﺎﯾدﺎﺘﺳا ﺴﭘ قوﺪﻨﺻ ،دﺮﮐﺮﻬﺷ ﯽﺘ

115

، raisi@eng.sku.ac.ir

ﻦﯾا رد ﻖﯿﻘﺤﺗ نﺎﯾﺮﺟ تراﺮﺣ لﺎﻘﺘﻧا و ﮏﯿﻣﺎﻨﯾدورﺪﯿﻫ

لﺎﻧﺎﮐ ﺖﺧاﻮﻨﮑﯾ

ةزاﺪﻧا ﻪﺑ لﺎﻧﺎﮐوﺮﮑﯿﻣ ﻪﺘﻓﺮﮔ ﺮﻈﻧ رد ﺪﻨﻠﺑ ﯽﻓﺎﮐ

و هﺪﺷ مﺎﺠﻧا لﺮﺘﻨﮐ ﺮﺑ لﺎﻘﺘﻧا تراﺮﺣ

.ﺖﺳا توﺎﻔﺘ رد

ﺮﻈﻧ ﻦﺘﻓﺮﮔ

ﺪﺷﺎﺑ . ﺖﻗر ﺶﯾاﺰﻓا

، ﺗ ﺖﺤﺗ ﻒﻟﺎﺨﻣ ﺖﻬﺟ ود رد ار تراﺮﺣ لﺎﻘﺘﻧا

ﻒﯿﻌﺿ ﻪﺘﻓﺎﯾ ﯽﻟﺎﺣرد هدﻮﺑ

.ﺖﺳا هدﻮﺑ ﻪﻈﺣﻼﻣ ﻞﺑﺎﻗ و يﻮﻗ نآ يور ﺮﺑ ﺖﻗر ﺮﺛا ﻪﮐ

،لﺎﻧﺎﮐوﺮﮑﯿﻣ نﺎﯾﺮﺟ

،ﺖﻗر ،ﯽﺷﺰﻐﻟ

iscous dissipation on gaseous flow heat transfer in a horizontal microchannel with rarefaction and

s is performed numerically. Velocity the rarefaction effect is imposed to the problem via velocity

The channel is sufficiently long to reach fully ology is based on the control volume finite difference scheme and parameters such as viscous dissipation, The results indicate that the Local Nu number

experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman ffected in two opposite directions by rarefaction increasing. Also, as Peclet

increase in fully developed Nu number values but there is significant effect of Kn number on it.

تاﺮﺛا ﯽﺳرﺮﺑ ﺎﺑ ﯽﻘﻓا لﺎﻧﺎﮐوﺮﮑﯿﻣ

ﯽﺟوزﺎﻣ رﺎﯿﻣار

1 - هﺎﮕﺸﻧاد ،ﮏﯿﻧﺎﮑﻣ ﯽﺳﺪﻨﻬﻣ ﺪﺷرا ﯽﺳﺎﻨﺷرﺎﮐ يﻮﺠﺸﻧاد

2 - دﺮﮐﺮﻬﺷ ،دﺮﮐﺮﻬﺷ هﺎﮕﺸﻧاد ،ﮏﯿﻧﺎﮑﻣ ﯽﺳﺪﻨﻬﻣ رﺎﯾدﺎﺘﺳا

* ﺴﭘ قوﺪﻨﺻ ،دﺮﮐﺮﻬﺷ

هﺪﯿﮑﭼ - ﻦﯾا رد

نﺎﯾﺮﺟ يدورو ﻪﺑ

ةزاﺪﻧا ﻪﺑ لﺎﻧﺎﮐوﺮﮑﯿﻣ ﻢﺠﺣ يﺎﻨﺒﻣ ﺮﺑ و هﺪﺷ مﺎﺠﻧا لﺮﺘﻨﮐ

يرﻮﺤﻣ و شﺰﺧ

ﻣ لﻮﻤﻌﻣ .ﺖﺳا توﺎﻔﺘ

ﻦﻤﮑﻨﯾﺮﺑ ﯽﻣ ﺪﺷﺎﺑ

ﻪﻌﺳﻮﺗ ﻒﯿﻌﺿ ﻪﺘﻓﺎﯾ

ﺪﯿﻠﮐ :نﺎﮔژاو ،لﺎﻧﺎﮐوﺮﮑﯿﻣ

iscous dissipation on gaseous flow heat transfer in a horizontal microchannel with rarefaction and axial

ed numerically. Velocity velocity slip and The channel is sufficiently long to reach fully ology is based on the control volume finite difference scheme and h as viscous dissipation, The results indicate that the Local Nu number is found to experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman Also, as Peclet number increase in fully developed Nu number values but there is significant effect of Kn number on it.

تاﺮﺛا ﯽﺳرﺮﺑ ﺎﺑ ﯽﻘﻓا لﺎﻧﺎﮐوﺮﮑﯿﻣ

ﯽﺟوزﺎﻣ رﺎﯿﻣار

1 2

*

هﺪﯿﮑﭼ نﺎﯾﺮﺟ ةزاﺪﻧا ﻪﺑ لﺎﻧﺎﮐوﺮﮑﯿﻣ ﻢﺠﺣ يﺎﻨﺒﻣ ﺮﺑ يرﻮﺤﻣ ﻣ لﻮﻤﻌﻣ ﻦﻤﮑﻨﯾﺮﺑ ﻪﻌﺳﻮﺗ ﺪﯿﻠﮐ

iscous dissipation on gaseous flow heat transfer axial

ed numerically. Velocity and The channel is sufficiently long to reach fully ology is based on the control volume finite difference scheme and h as viscous dissipation, The results indicate that the found to experience a jump by the presence of viscous dissipation. The magnitude of the jump is independ of the Brinkman number increase in fully developed Nu number values but there is significant effect of Kn number on it.

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

ﯽﺷﺰﻐﻟ نﺎﯾﺮﺟ ﻢﯾژر رد راﺬﮔﺮﯿﺛ ﻪﻫد ﻞﯾاوا رد

1980 ،

ﻻﺎﺑ هدزﺎﺑ ﺎﺑ ﯽﯾﺎﺠﺑﺎﺟ تراﺮﺣ لﺎﻘﺘﻧا

ﻧآ .ﺪﻧداد راﺮﻗ ﯽﺳرﺮﺑ درﻮﻣ ﯽﮑﯾﺮﺘﮑﻟا ﻊﻤﺘﺠﻣ تاراﺪﻣ ياﺮﺑ ار ﺎﻬ

مارآ نﺎﯾﺮﺟ ياﺮﺑ ﯽ

رد ﻢﻃﻼﺘﻣ نﺎﯾﺮﺟ رد نآ راﺪﻘﻣ زا ﺮﺘﺸﯿﺑ ﺎﻫ ﺖﯿﻘﻓﻮﻣ و ﻖﯿﻘﺤﺗ ﻦﯾا زا ﺲﭘ .ﺪﺷﺎﺑ ﻞﺻﺎﺣ يﺎﻫ

.ﺖﻓﺮﮔ جوا تﺪﺷ ﻪﺑ ﺎﻫ رد تﺎﻌﻟﺎﻄﻣ ﻦ

ﯽﺑﺮﺠﺗ يﺎﻫرﺎﮐ

،

اﺮﺑ ار ي ﻌﻟﺎﻄﻣ ﮥ

ا ﻂﺳﻮﺗ ﯾ تﺮﺒ و

ﺳ رد ﺖﻋﺮﺳ ﺖﻓا و رﺎﺸﻓ ﺖﻓا ﯿ

لﺎ

ﻮﻘﻠﺣ و ي .دﻮﺑ ﺎﻬﻧآ

ﺢﻄﺴﻣ ﺚﻋﺎﺑ ﺖﻋﺮﺳ ﺮﺗ

ﻨﭼ ﯿ ﻦ داﺮﮔ ﯾ نﺎ

ﯾ ﺪﺑﺎ . كﻮﮑﺴﯿﺑ

ﻪﺳﺪﻨﻫ رد نﺎﻣز ﻪﺑ ﻪﺘﺴﺑاو ﯽﺷﺰﻐﻟ -

ﺮﺑ ﺎﻬﻧآ يدﺪﻋ رد .دﻮﺑ زا ﻞﯿﻠﺤﺗ ﻦﯾا

ﺪﺷ هدﺎﻔﺘﺳا يزﺮﻣ طﺮﺷ ناﻮﻨﻋ .

ﯽﺷﺰﻐﻟ ﺖﻋﺮﺳ و ﺪﻨﺘﺷاد ﺪﯿﮐ ﻖﺑﺎﻄﺗ ﺐﯾﺮﺿ و ﻦﺳدﺎﻧ دﺪﻋ ﯽﮑﭼﻮﮐ

نورد زﺎﮔ نﺎﯾﺮﺟ ياﺮﺑ ار مارآ يرﺎﺒﺟا ﯽﯾﺎﺠﺑﺎﺟ ،ﺖﺑﺎﺛ ﯽﺗراﺮﺣ رﺎﺷ يزﺮﻣ طﺮﺷ ﺎﺑ و

ﻪﻌﻟﺎﻄﻣ درﻮﻣ يرﻮﺌﺗ رﻮﻃ ﻪﺑ ﯽﯾﺎﻣد شﺮﭘ و

لﺎﯿﺳ ياﺮﺑ ار ﺎﻣد ﻞﯿﻓوﺮﭘ و ﻦﯿﮕﻧﺎﯿﻣ ﺖﻠﺳﺎﻧ دﺪﻋ ﺎﻬﻧآ .ﺪﻧداد راﺮﻗ يور ﺮﺑ ار دﻮﺧ

راد يﺮﺘﺸﯿﺑ دﺮﺑرﺎﮐ ﻪﮐ ﯽﺜﻠﺜﻣ و ﯽﻠﯿﻄﺘﺴﻣ ﻊﻃﺎﻘﻣ ﻧﺪ

، ﺰﮐﺮﻤﺘﻣ

لﺎﻘﺘﻧا رد تراﺮﺣ

نﺎﯾﺮﺟ ضﺮﻓ ﺎﺑ ار يﺪﻌﺑ ﺖ

يﺎﻫ ﺎﻣد ﺖﺑﺎﺛ

ﺖﺟﺰﻟ فﻼﺗا و ﻪﮐ

2. Spectral Element Method

ﯽﺷﺰﻐﻟ نﺎﯾﺮﺟ ﻢﯾژر رد راﺬﮔﺮﯿﺛ

.دﺮﮐ هرﺎﺷا ﻞﯾذ يﺎﻫرﺎﮐ ﻪﺑ ناﻮﺗ ﻪﻫد ﻞﯾاوا رد

ﻻﺎﺑ هدزﺎﺑ ﺎﺑ ﯽﯾﺎﺠﺑﺎﺟ تراﺮﺣ لﺎﻘﺘﻧا

ﻧآ .ﺪﻧداد راﺮﻗ ﯽﺳرﺮﺑ درﻮﻣ ﯽﮑﯾﺮﺘﮑﻟا ﻊﻤﺘﺠﻣ تاراﺪﻣ ياﺮﺑ ار ﯾﺎﺠﺑﺎﺟ تراﺮﺣ لﺎﻘﺘﻧا ﺐﯾﺮﺿ

مارآ نﺎﯾﺮﺟ ياﺮﺑ ﯽ

رد ﻢﻃﻼﺘﻣ نﺎﯾﺮﺟ رد نآ راﺪﻘﻣ زا ﺮﺘﺸﯿﺑ ﺎﻫ ﺖﯿﻘﻓﻮﻣ و ﻖﯿﻘﺤﺗ ﻦﯾا زا ﺲﭘ .ﺪﺷﺎﺑ

لﺎﻧﺎﮐ .ﺖﻓﺮﮔ جوا تﺪﺷ ﻪﺑ ﺎﻫ

ﯾﺮﺗراﺬﮔﺮﯿﺛﺄﺗ ﻪﻠﻤﺟ زا ناﻮﺗ رد تﺎﻌﻟﺎﻄﻣ ﻦ

.ﺖﺴﻧاد ﺎﻫ رد

ﺎﺘﺳار ي ﯽﺑﺮﺠﺗ يﺎﻫرﺎﮐ

و ﯽﻠﯿﻠﺤﺗ دﺪﻋ

ي اﺮﺑ ار

ﺪﻧدﻮﻤﻧ ﻪﺋارا .

ا رد ﯾ ﻦ ﻣز ﯿ ﻪﻨ ا ﻂﺳﻮﺗ

ﺳ رد ﺖﻋﺮﺳ ﺖﻓا و رﺎﺸﻓ ﺖﻓا ﻄﺘﺴﻣ ﯿﻠ ﯽ ﻮﻘﻠﺣ و

زﻮﺗ ﯾ ﻊ ﺢﻄﺴﻣ ﺚﻋﺎﺑ ﺖﻋﺮﺳ

ﻪﺘﺳﻮ ﻣ ﯽ دﻮﺷ ﻢﻫ . ﻨﭼ

ﯽ ﻣ ﺶﻫﺎﮐ ﯽ ﯾ

ﻪﺳﺪﻨﻫ رد نﺎﻣز ﻪﺑ ﻪﺘﺴﺑاو ﯽﺷﺰﻐﻟ

ﻮﯿﺷ .ﺪﻧدﺮﮐ لﺪﻣ يدﺪﻋ ترﻮﺻ ة

ﯽﻣﻮﻫﻮﻣ رد .دﻮﺑ2

ﺪﺷ هدﺎﻔﺘﺳا يزﺮﻣ طﺮﺷ ناﻮﻨﻋ ﯽﺷﺰﻐﻟ ﺖﻋﺮﺳ و ﺪﻨﺘﺷاد ﺪﯿﮐ ﻖﺑﺎﻄﺗ ﺐﯾﺮﺿ و ﻦﺳدﺎﻧ دﺪﻋ ﯽﮑﭼﻮﮐ

نورد زﺎﮔ نﺎﯾﺮﺟ ياﺮﺑ ار مارآ يرﺎﺒﺟا ﯽﯾﺎﺠﺑﺎﺟ ،ﺖﺑﺎﺛ ﯽﺗراﺮﺣ رﺎﺷ يزﺮﻣ طﺮﺷ ﺎﺑ و

ﻪﻌﻟﺎﻄﻣ درﻮﻣ يرﻮﺌﺗ رﻮﻃ ﻪﺑ ﯽﯾﺎﻣد شﺮﭘ و

لﺎﯿﺳ ياﺮﺑ ار ﺎﻣد ﻞﯿﻓوﺮﭘ و ﻦﯿﮕﻧﺎﯿﻣ ﺖﻠﺳﺎﻧ دﺪﻋ ﺎﻬﻧآ .ﺪﻧداد راﺮﻗ ﮥﻌﻟﺎﻄﻣ ﺲﭙﺳ .ﺪﻧدروآ ﺖﺳﺪﺑ ،ﻢﮐاﺮﺗ

يور ﺮﺑ ار دﻮﺧ

راد يﺮﺘﺸﯿﺑ دﺮﺑرﺎﮐ ﻪﮐ ﯽﺜﻠﺜﻣ و ﯽﻠﯿﻄﺘﺴﻣ ﻊﻃﺎﻘﻣ لﺎﺳ رد

2006 لﺎﻘﺘﻧا

ود يﺎﻫ نﺎﯾﺮﺟ ضﺮﻓ ﺎﺑ ار يﺪﻌﺑ

ﺑ يرﻮﺤﻣ ﺖﯾاﺪﻫ زا ﺮﻈﻧ ﻟﺎﺣ ياﺮ

ﺖ

.ﺪﻧدﺮﮐ ﯽﺳرﺮﺑ ﺖﺑﺎﺛ ﯽﺗراﺮﺣ رﺎﺷ و ﺖﻗر تاﺮﺛا

ﺖﺟﺰﻟ فﻼﺗا و

Spectral Element Method

ﺄﺗ و ﺺﺧﺎﺷ يﺎﻫرﺎﮐ زا ﯽﺷﺰﻐﻟ نﺎﯾﺮﺟ ﻢﯾژر رد راﺬﮔﺮﯿﺛ

.دﺮﮐ هرﺎﺷا ﻞﯾذ يﺎﻫرﺎﮐ ﻪﺑ ناﻮﺗ 3

ﮥﻟﺄﺴﻣ [ ﻻﺎﺑ هدزﺎﺑ ﺎﺑ ﯽﯾﺎﺠﺑﺎﺟ تراﺮﺣ لﺎﻘﺘﻧا

ﻧآ .ﺪﻧداد راﺮﻗ ﯽﺳرﺮﺑ درﻮﻣ ﯽﮑﯾﺮﺘﮑﻟا ﻊﻤﺘﺠﻣ تاراﺪﻣ ياﺮﺑ ار ﯾﺎﺠﺑﺎﺟ تراﺮﺣ لﺎﻘﺘﻧا ﺐﯾﺮﺿ

رد ﻢﻃﻼﺘﻣ نﺎﯾﺮﺟ رد نآ راﺪﻘﻣ زا ﺮﺘﺸﯿﺑ ﺎﻫ ﺖﯿﻘﻓﻮﻣ و ﻖﯿﻘﺤﺗ ﻦﯾا زا ﺲﭘ .ﺪﺷﺎﺑ

وﺮﮑﯿﻣ نﻮﻣاﺮﯿﭘ تﺎﻌﻟﺎﻄﻣ ،نآ زا لﺎﻧﺎﮐ

ﯽﻣ ار ﻖﯿﻘﺤﺗ ﻦﯾا ﺞﯾﺎﺘﻧ ﯾﺮﺗراﺬﮔﺮﯿﺛﺄﺗ ﻪﻠﻤﺟ زا ناﻮﺗ

لﺎﻧﺎﮐوﺮﮑﯿﻣ تراﺮﺣ لﺎﻘﺘﻧا .ﺖﺴﻧاد ﺎﻫ

لﺪﻣ ﺎﻫ ي و ﯽﻠﯿﻠﺤﺗ

لﺎﻧﺎﮐوﺮﮑ ﺎﻫ ﺪﻧدﻮﻤﻧ ﻪﺋارا

ﺎﻫرﺎﮐ ﻪﮐ ا رد

ﻌﺗ ،ﺪﺷ مﺎﺠﻧا ﯿﯿ

ﻦ ﺳ رد ﺖﻋﺮﺳ ﺖﻓا و رﺎﺸﻓ ﺖﻓا

ﻣ رد ﯿ لﺎﻧﺎﮐوﺮﮑ ﻄﺘﺴﻣ

ور شﺰﻐﻟ ي

زﻮﺗ

ﺮﺟ ﻪﺑ ﺖﺒﺴﻧ نآ نﺪﺷ ﯾ

نﺎ ﭘﯿ ﻪﺘﺳﻮ

ﺷ ﺖﺤﺗ اﺮ ﯾ ﻂ ﺷﺰﻐﻟ ﯽ

نﺎﯾﺮﺟ [ ﻪﺳﺪﻨﻫ رد نﺎﻣز ﻪﺑ ﻪﺘﺴﺑاو ﯽﺷﺰﻐﻟ

ﻮﯿﺷ .ﺪﻧدﺮﮐ لﺪﻣ يدﺪﻋ ترﻮﺻ ﯽﻔﯿﻃ يﺎﻫ -

ﯽﻣﻮﻫﻮﻣ

ﮥﺒﺗﺮﻣ ﺖﻋﺮﺳ شﺰﻐﻟ طﺮﺷ ﻪﺑ ﻻﺎﺑ

ﺪﺷ هدﺎﻔﺘﺳا يزﺮﻣ طﺮﺷ ناﻮﻨﻋ

ﺄﺗ ﻖﺑﺎﻄﺗ ﺐﯾﺮﺿ ﺖ ﯽﺷﺰﻐﻟ ﺖﻋﺮﺳ و ﺪﻨﺘﺷاد ﺪﯿﮐ

زا ﯽﺷﺎﻧ ار هراﻮﯾد ﻖﺑﺎﻄﺗ ﺐﯾﺮﺿ و ﻦﺳدﺎﻧ دﺪﻋ ﯽﮑﭼﻮﮐ

ﯽﻣ ﯽﮑﯿﻣﺎﻨﯾدورﺪﯿﻫ .ﺪﻨﺘﺴﻧاد

نورد زﺎﮔ نﺎﯾﺮﺟ ياﺮﺑ ار مارآ يرﺎﺒﺟا ﯽﯾﺎﺠﺑﺎﺟ هاﻮﺨﻟد ﻊﻄﻘﻣ ﺎﺑ ،ﺖﺑﺎﺛ ﯽﺗراﺮﺣ رﺎﺷ يزﺮﻣ طﺮﺷ ﺎﺑ و

ﺖﻋﺮﺳ شﺰﻐﻟ طﺮﺷ ﻪﻌﻟﺎﻄﻣ درﻮﻣ يرﻮﺌﺗ رﻮﻃ ﻪﺑ ﯽﯾﺎﻣد شﺮﭘ و

لﺎﯿﺳ ياﺮﺑ ار ﺎﻣد ﻞﯿﻓوﺮﭘ و ﻦﯿﮕﻧﺎﯿﻣ ﺖﻠﺳﺎﻧ دﺪﻋ ﺎﻬﻧآ .ﺪﻧداد راﺮﻗ ﮥﻌﻟﺎﻄﻣ ﺲﭙﺳ .ﺪﻧدروآ ﺖﺳﺪﺑ ،ﻢﮐاﺮﺗ

راد يﺮﺘﺸﯿﺑ دﺮﺑرﺎﮐ ﻪﮐ ﯽﺜﻠﺜﻣ و ﯽﻠﯿﻄﺘﺴﻣ ﻊﻃﺎﻘﻣ ﺶﻧارﺎﮑﻤﻫ و ﻦﯿﺘﺳ 7]

لﺎﺳ رد[

لﺎﻧﺎﮐوﺮﮑﯿﻣ و ﺎﻫ ود يﺎﻫ

ﺑ يرﻮﺤﻣ ﺖﯾاﺪﻫ زا ﺮﻈﻧ

.ﺪﻧدﺮﮐ ﯽﺳرﺮﺑ ﺖﺑﺎﺛ ﯽﺗراﺮﺣ رﺎﺷ و

ﺄﺗ و ﺺﺧﺎﺷ يﺎﻫرﺎﮐ زا .دﺮﮐ هرﺎﺷا ﻞﯾذ يﺎﻫرﺎﮐ ﻪﺑ ناﻮﺗ

ﻦﻣﺮﮐﻮﺗ ﺰﯿﭘ و 2]

، 3

ﻧآ .ﺪﻧداد راﺮﻗ ﯽﺳرﺮﺑ درﻮﻣ ﯽﮑﯾﺮﺘﮑﻟا ﻊﻤﺘﺠﻣ تاراﺪﻣ ياﺮﺑ ار د نﺎﺸﻧ ﻪﮐ ﺪﻧدا ﯾﺎﺠﺑﺎﺟ تراﺮﺣ لﺎﻘﺘﻧا ﺐﯾﺮﺿ

وﺮﮑﯿﻣ نورد لﺎﻧﺎﮐ

رد ﻢﻃﻼﺘﻣ نﺎﯾﺮﺟ رد نآ راﺪﻘﻣ زا ﺮﺘﺸﯿﺑ ﺎﻫ

ﯽﻣ لﻮﻤﻌﻣ دﺎﻌﺑا ﺖﯿﻘﻓﻮﻣ و ﻖﯿﻘﺤﺗ ﻦﯾا زا ﺲﭘ .ﺪﺷﺎﺑ

وﺮﮑﯿﻣ نﻮﻣاﺮﯿﭘ تﺎﻌﻟﺎﻄﻣ ،نآ زا ﯽﻣ ار ﻖﯿﻘﺤﺗ ﻦﯾا ﺞﯾﺎﺘﻧ لﺎﻧﺎﮐوﺮﮑﯿﻣ تراﺮﺣ لﺎﻘﺘﻧا داﺪﻌﺗ ي ﻘﻘﺤﻣ زا ﺎ ن

نﺎ ﻣ رد ﯿ لﺎﻧﺎﮐوﺮﮑ

زا ﺘﺴﺨﻧ ﯿ ﻦ ﺎﻫرﺎﮐ

ورﺎﭙﺳا 4] ﻌﺗ ،ﺪﺷ مﺎﺠﻧا [

ي رﺎﺟ ي ﻣ رد

ﺘﻓﺎ ﺪﻨ ﺗ ﻪﮐ ﺄﺛ ﯿﺮ

ﺮﺟ ﻪﺑ ﺖﺒﺴﻧ نآ نﺪﺷ رﻮﺤﻣ رﺎﺸﻓ ي

ﺷ ﺖﺤﺗ

ﺲﯿﮐادﺎﯿﻧرﺎﮐو ]

5 نﺎﯾﺮﺟ [

ﻪﺑ ار وﺮﮑﯿﻣ يﺎﻫ ﻮﯿﺷ .ﺪﻧدﺮﮐ لﺪﻣ يدﺪﻋ ترﻮﺻ

نﺎﻤﻟا شور سﺎﺳا ﯽﻔﯿﻃ يﺎﻫ

ﮥﺒﺗﺮﻣ ﺖﻋﺮﺳ شﺰﻐﻟ طﺮﺷ ﯿﻤﻫا ﺮﺑ ﺎﻬﻧآ ﺄﺗ ﻖﺑﺎﻄﺗ ﺐﯾﺮﺿ ﺖ

رد گرﺰﺑ زا ﯽﺷﺎﻧ ار هراﻮﯾد

ﯽﻣ ﯽﮑﯿﻣﺎﻨﯾدورﺪﯿﻫ ﻮﯿﻟ و وز 6]

نورد زﺎﮔ نﺎﯾﺮﺟ ياﺮﺑ ار مارآ يرﺎﺒﺟا ﯽﯾﺎﺠﺑﺎﺟ[

وﺮﮑﯿﻣ لﺎﻧﺎﮐ هاﻮﺨﻟد ﻊﻄﻘﻣ ﺎﺑ

ﺖﻋﺮﺳ شﺰﻐﻟ طﺮﺷ لﺎﯿﺳ ياﺮﺑ ار ﺎﻣد ﻞﯿﻓوﺮﭘ و ﻦﯿﮕﻧﺎﯿﻣ ﺖﻠﺳﺎﻧ دﺪﻋ ﺎﻬﻧآ .ﺪﻧداد راﺮﻗ

ﻞﺑﺎﻗ ﮥﻌﻟﺎﻄﻣ ﺲﭙﺳ .ﺪﻧدروآ ﺖﺳﺪﺑ ،ﻢﮐاﺮﺗ

راد يﺮﺘﺸﯿﺑ دﺮﺑرﺎﮐ ﻪﮐ ﯽﺜﻠﺜﻣ و ﯽﻠﯿﻄﺘﺴﻣ ﻊﻃﺎﻘﻣ ﺪﻧدﺮﮐ . ﺶﻧارﺎﮑﻤﻫ و ﻦﯿﺘﺳ

وﺮﮑﯿﻣ ﻪﻟﻮﻟ لﺎﻧﺎﮐوﺮﮑﯿﻣ و ﺎﻫ

و ﯽﺷﺰﻐﻟ فﺮﺻ

ﺑ يرﻮﺤﻣ ﺖﯾاﺪﻫ زا ﺮﻈﻧ

.ﺪﻧدﺮﮐ ﯽﺳرﺮﺑ ﺖﺑﺎﺛ ﯽﺗراﺮﺣ رﺎﺷ و

يرﺎﺠﺗ يﺎﻫ زا

ﻪﺘﻓﺎﯾ يدﺎﯾز رﺎﯿﺴﺑ جاور ﻮﻧﺎﻧ و وﺮﮑﯿﻣ دﺎﻌﺑا ﺎﺑ ﯽﮑﯿﻧﺎﮑﻣ ﻞﯾﺎﺳو ﻪﮐ ﺪﻨﺘﺴﻫ ﺎﻫ

،تراﺮﺣ لﺎﻘﺘﻧا ﺪﻨﻧﺎﻣ ﻒﻠﺘﺨﻣ فاﺪﻫا ﺎﺑ لﺎﯿﺳ لﺎﻘﺘﻧا رﻮﻈﻨﻣ .ﺪﻧﺮﯿﮔ

لﺎﮑﯿﻧﺎﮑﻣوﺮﺘﮑﻟاوﺮﮑﯿﻣ يﺎﻫ

1

يﺎﻫ و ﺎﻫ ﻦﯾا ﺎﺗ ﺖﺳا

زا ﺮﮕﯾد ﯽﮑﯾ .دﻮﺷ ﻞﯾﺪﺒﺗ راﺪﻓﺮﻃﺮﭘ يﺎﻫ

،ﺪﺑﺎﯾ ﺖﯿﻤﻫا ﺎﻫ ﻢﮐ يﺎﻫ

وﺮﮐﺎﻣ دﺎﻌﺑا ﺎﺑ يﺎﻫ

يﺎﻣد و ﺖﻋﺮﺳ ﺎﺑ ﺮﺑاﺮﺑ ،ﺪﻣﺎﺟ ﺢﻄﺳ يور لﺎﯿﺳ يﺎﻣد و ﺖﻋﺮﺳ رد ﻖﯿﻗر يﺎﻫزﺎﮔ نﺎﯾﺮﺟ ياﺮﺑ

لﺎﻧﺎﮐوﺮﮑﯿﻣ رد زﺎﮔ ن ،ﺎﻫ

دوﺪﺤﻣ ﯽﺳﺎﻤﻣ ﺖﻋﺮﺳ ﮏﯾ ﺎﺑ لﺎﻧﺎﮐ

شﺮﭘ ﮏﯾ ﺰﯿﻧ هراﻮﯾد و لﺎﯿﺳ يﺎﻣد ﻦﯿﺑ ﻦﯿﻨﭼ

ﻦﯾا ﻪﺑ نﺎﻘﻘﺤﻣ ،هﺪﺷ ﺮﮐذ ﻂﯾاﺮﺷ دﻮﺟو ﺎﺑ .دراد دﻮﺟو ﯽﯾﺎﻣد تاﺮﺛا ﺖﻠﻋ ﻪﺑ ﯽﮕﺘﺳﻮﯿﭘ تﺎﯿﺿﺮﻓ ﺪﻨﭼ ﺮ

طﺮﺷ لﺎﻤﻋا ﺎﺑ

.ﺖﺳا هدﺎﻔﺘﺳا ﻞﺑﺎﻗ ﯽﺷﺰﻐﻟ نﺎﯾﺮﺟ ي و ﺖﻋﺮﺳ تاﺮﺛا ﻪﺑ زﺎﮔ نﺎﯾﺮﺟ ﻢﯾژر ﻪﮐ ﺎﻫ ﻂﺑر

ﺪﺷﺎﺑ

ﻦﯾا ﻪﺑ ﺰﯿﻧ نﺎﯾﺮﺟ ﻢﯾژر و يراﺬﮔ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ار نﺎﯾﺮﺟ ﻢﯾژر ناﻮﺗ

1. MEMS

ﺄﺗ و ﺺﺧﺎﺷ يﺎﻫرﺎﮐ زا ﯽﻣ .دﺮﮐ هرﺎﺷا ﻞﯾذ يﺎﻫرﺎﮐ ﻪﺑ ناﻮﺗ

ﻦﻣﺮﮐﻮﺗ ﻧآ .ﺪﻧداد راﺮﻗ ﯽﺳرﺮﺑ درﻮﻣ ﯽﮑﯾﺮﺘﮑﻟا ﻊﻤﺘﺠﻣ تاراﺪﻣ ياﺮﺑ ار د نﺎﺸﻧ وﺮﮑﯿﻣ نورد ﯽﻣ لﻮﻤﻌﻣ دﺎﻌﺑا وﺮﮑﯿﻣ نﻮﻣاﺮﯿﭘ تﺎﻌﻟﺎﻄﻣ ،نآ زا ﯽﻣ ار ﻖﯿﻘﺤﺗ ﻦﯾا ﺞﯾﺎﺘﻧ لﺎﻧﺎﮐوﺮﮑﯿﻣ تراﺮﺣ لﺎﻘﺘﻧا داﺪﻌﺗ ﺮﺟ ﯾ نﺎ

زا ورﺎﭙﺳا

زﺎﮔ ي

رد ﯾ ﺘﻓﺎ ﺮﺟ ﻪﺑ ﺖﺒﺴﻧ نآ نﺪﺷ

رﻮﺤﻣ رﺎﺸﻓ ﺲﯿﮐادﺎﯿﻧرﺎﮐو ﻪﺑ ار وﺮﮑﯿﻣ يﺎﻫ نﺎﻤﻟا شور سﺎﺳا ﮥﺒﺗﺮﻣ ﺖﻋﺮﺳ شﺰﻐﻟ طﺮﺷ ﯿﻤﻫا ﺮﺑ ﺎﻬﻧآ رد گرﺰﺑ ﯽﻣ ﯽﮑﯿﻣﺎﻨﯾدورﺪﯿﻫ

ﻮﯿﻟ و وز وﺮﮑﯿﻣ ﺖﻋﺮﺳ شﺰﻐﻟ طﺮﺷ لﺎﯿﺳ ياﺮﺑ ار ﺎﻣد ﻞﯿﻓوﺮﭘ و ﻦﯿﮕﻧﺎﯿﻣ ﺖﻠﺳﺎﻧ دﺪﻋ ﺎﻬﻧآ .ﺪﻧداد راﺮﻗ ﺮﯿﻏ راد يﺮﺘﺸﯿﺑ دﺮﺑرﺎﮐ ﻪﮐ ﯽﺜﻠﺜﻣ و ﯽﻠﯿﻄﺘﺴﻣ ﻊﻃﺎﻘﻣ ﺪﻧدﺮﮐ وﺮﮑﯿﻣ و ﯽﺷﺰﻐﻟ .ﺪﻧدﺮﮐ ﯽﺳرﺮﺑ ﺖﺑﺎﺛ ﯽﺗراﺮﺣ رﺎﺷ و

هدﺎﻔﺘﺳا و ﯽﺗﺎﻘﯿﻘﺤﺗ يﺎﻫزﺎﯿﻧ ﺮﯿﺧا يﺎﻫ يرﺎﺠﺗ يﺎﻫ

ﻪﺘﻓﺎﯾ يدﺎﯾز رﺎﯿﺴﺑ جاور ﻮﻧﺎﻧ و وﺮﮑﯿﻣ دﺎﻌﺑا ﺎﺑ ﯽﮑﯿﻧﺎﮑﻣ ﻞﯾﺎﺳو ﻢﺘﺴﯿﺳ ﻦﯾا يﺎﻫ

ﻪﮐ ﺪﻨﺘﺴﻫ ﺎﻫ

،تراﺮﺣ لﺎﻘﺘﻧا ﺪﻨﻧﺎﻣ ﻒﻠﺘﺨﻣ فاﺪﻫا ﺎﺑ لﺎﯿﺳ لﺎﻘﺘﻧا رﻮﻈﻨﻣ ﯽﻣ راﺮﻗ هدﺎﻔﺘﺳا درﻮﻣ ﯽﻧﺎﺳر

.ﺪﻧﺮﯿﮔ

لﺎﮑﯿﻧﺎﮑﻣوﺮﺘﮑﻟاوﺮﮑﯿﻣ يﺎﻫ ﻢﺘﺴﯿﺳ ﯽﺳرﺮﺑ ﺖﯿﻤﻫا ﻦﯿﻨﭼ يﺎﻫ

گﺮﯾﻮﻣ رد نﺎﯾﺮﺟ ﻪﻠﻤﺟ زا ﺎﻫ و ﺎﻫ

هﺪﺷ ﺚﻋﺎﺑ

ﻦﯾا ﺎﺗ ﺖﺳا

زا ﺮﮕﯾد ﯽﮑﯾ .دﻮﺷ ﻞﯾﺪﺒﺗ راﺪﻓﺮﻃﺮﭘ يﺎﻫ ﻧﺎﮐوﺮﮑﯿﻣ رد زﺎﮔ نﺎﯾﺮﺟ لﺎ

،ﺪﺑﺎﯾ ﺖﯿﻤﻫا ﺎﻫ

نﺎﯾﺮﺟ و وﺮﮑﯿﻣ دﺎﻌﺑا رد نﺎﯾﺮﺟ ﻦﯿﺑ ﯽﺒﺴﻧ ﻪﺑﺎﺸﺗ دﻮﺟو ﻢﮐ يﺎﻫ

وﺮﮐﺎﻣ دﺎﻌﺑا ﺎﺑ يﺎﻫ

يﺎﻣد و ﺖﻋﺮﺳ ﺎﺑ ﺮﺑاﺮﺑ ،ﺪﻣﺎﺟ ﺢﻄﺳ يور لﺎﯿﺳ يﺎﻣد و ﺖﻋﺮﺳ رد ﻖﯿﻗر يﺎﻫزﺎﮔ نﺎﯾﺮﺟ ياﺮﺑ

لﺎﻧﺎﮐوﺮﮑﯿﻣ رد زﺎﮔ ن

دوﺪﺤﻣ ﯽﺳﺎﻤﻣ ﺖﻋﺮﺳ ﮏﯾ ﺎﺑ لﺎﻧﺎﮐ

شﺮﭘ ﮏﯾ ﺰﯿﻧ هراﻮﯾد و لﺎﯿﺳ يﺎﻣد ﻦﯿﺑ ﻦﯿﻨﭼ

ﻦﯾا ﻪﺑ نﺎﻘﻘﺤﻣ ،هﺪﺷ ﺮﮐذ ﻂﯾاﺮﺷ دﻮﺟو ﺎﺑ .دراد دﻮﺟو ﯽﯾﺎﻣد تاﺮﺛا ﺖﻠﻋ ﻪﺑ ﯽﮕﺘﺳﻮﯿﭘ تﺎﯿﺿﺮﻓ ﺪﻨﭼ ﺮ

ﺲﮐﻮﺘﺳاﺮﯾوﺎﻧ تﻻدﺎﻌﻣ ﺎﻣا ،ﺖﺴﯿﻧ راﺮﻗﺮﺑ ﺖﻗر طﺮﺷ لﺎﻤﻋا ﺎﺑ

.ﺖﺳا هدﺎﻔﺘﺳا ﻞﺑﺎﻗ ﯽﺷﺰﻐﻟ نﺎﯾﺮﺟ ي و ﺖﻋﺮﺳ تاﺮﺛا ﻪﺑ زﺎﮔ نﺎﯾﺮﺟ ﻢﯾژر ﻪﮐ ﺎﻫ

يﺮﯾﺬﭘ (خﺎﻣ دﺪﻋ) ﻂﺑر

ﯽﻣ ﺖﻗر ،ﺮﺘﻣارﺎﭘ ﻦﯾﺮﺗ ﺪﺷﺎﺑ

ﻦﯾا ﻪﺑ ﺰﯿﻧ نﺎﯾﺮﺟ ﻢﯾژر و يراﺬﮔ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ار نﺎﯾﺮﺟ ﻢﯾژر ناﻮﺗ

:دﺮﮐ يﺪﻨﺑ

ﻦﺳدﺎﻧ دﺪﻋ ﺐﺴﺣ ﺮﺑ ]

1 [

MEMS

هدﺎﻔﺘﺳا و ﯽﺗﺎﻘﯿﻘﺤﺗ يﺎﻫزﺎﯿﻧ ﺮﯿﺧا يﺎﻫ ﻪﺘﻓﺎﯾ يدﺎﯾز رﺎﯿﺴﺑ جاور ﻮﻧﺎﻧ و وﺮﮑﯿﻣ دﺎﻌﺑا ﺎﺑ ﯽﮑﯿﻧﺎﮑﻣ ﻞﯾﺎﺳو

ﺶﺨﺑ ﻦﯾﺮﺗ ﻢﺘﺴﯿﺳ ﻦﯾا يﺎﻫ

،تراﺮﺣ لﺎﻘﺘﻧا ﺪﻨﻧﺎﻣ ﻒﻠﺘﺨﻣ فاﺪﻫا ﺎﺑ لﺎﯿﺳ لﺎﻘﺘﻧا رﻮﻈﻨﻣ ﯽﻣ راﺮﻗ هدﺎﻔﺘﺳا درﻮﻣ ﯽﻧﺎﺳر

ﺘﺴﯿﺳ رد دﺎﻌﺑا ﻦﯾا ﺎﺑ ﯽﯾﺎﻫ ﻢ

لﺎﮑﯿﻧﺎﮑﻣوﺮﺘﮑﻟاوﺮﮑﯿﻣ يﺎﻫ ﻢﺘﺴﯿﺳ ﯽﺳرﺮﺑ ﺖﯿﻤﻫا ﻦﯿﻨﭼ گﺮﯾﻮﻣ رد نﺎﯾﺮﺟ ﻪﻠﻤﺟ زا ﺎﻫ

وﺮﮑﯿﻣ دﺎﻌﺑا ﺎﺑ ﯽﺗﺎﯿﺣ يﺎﻫ

، هﺪﺷ ﺚﻋﺎﺑ

زا ﺮﮕﯾد ﯽﮑﯾ .دﻮﺷ ﻞﯾﺪﺒﺗ راﺪﻓﺮﻃﺮﭘ يﺎﻫ ﻧﺎﮐوﺮﮑﯿﻣ رد زﺎﮔ نﺎﯾﺮﺟ

نﺎﯾﺮﺟ و وﺮﮑﯿﻣ دﺎﻌﺑا رد نﺎﯾﺮﺟ ﻦﯿﺑ ﯽﺒﺴﻧ ﻪﺑﺎﺸﺗ دﻮﺟو .ﺪﺷﺎﺑ

لﺎﻧﺎﮐ رد وﺮﮐﺎﻣ دﺎﻌﺑا ﺎﺑ يﺎﻫ

يﺎﻣد و ﺖﻋﺮﺳ ﺎﺑ ﺮﺑاﺮﺑ ،ﺪﻣﺎﺟ ﺢﻄﺳ يور لﺎﯿﺳ يﺎﻣد و ﺖﻋﺮﺳ ﻂﯾاﺮﺷ ﻦﯾا ﺎﻣا ،ﺪﺷﺎﺑ

رد ﻖﯿﻗر يﺎﻫزﺎﮔ نﺎﯾﺮﺟ ياﺮﺑ

ﺎﯾﺮﺟ رد .ﺖﺴﯿﻧ راﺮﻗﺮﺑ ﺎﻫ لﺎﻧﺎﮐوﺮﮑﯿﻣ رد زﺎﮔ ن

دوﺪﺤﻣ ﯽﺳﺎﻤﻣ ﺖﻋﺮﺳ ﮏﯾ ﺎﺑ لﺎﻧﺎﮐ

شﺮﭘ ﮏﯾ ﺰﯿﻧ هراﻮﯾد و لﺎﯿﺳ يﺎﻣد ﻦﯿﺑ ﻦﯿﻨﭼ

ﻦﯾا ﻪﺑ نﺎﻘﻘﺤﻣ ،هﺪﺷ ﺮﮐذ ﻂﯾاﺮﺷ دﻮﺟو ﺎﺑ .دراد دﻮﺟو ﯽﯾﺎﻣد تاﺮﺛا ﺖﻠﻋ ﻪﺑ ﯽﮕﺘﺳﻮﯿﭘ تﺎﯿﺿﺮﻓ ﺪﻨﭼ ﺮ

ﺲﮐﻮﺘﺳاﺮﯾوﺎﻧ تﻻدﺎﻌﻣ ﺎﻣا ،ﺖﺴﯿﻧ راﺮﻗﺮﺑ ﺖﻗر .ﺖﺳا هدﺎﻔﺘﺳا ﻞﺑﺎﻗ ﯽﺷﺰﻐﻟ نﺎﯾﺮﺟ ي

و ﺖﻋﺮﺳ تاﺮﺛا ﻪﺑ زﺎﮔ نﺎﯾﺮﺟ ﻢﯾژر ﻪﮐ ﺎﻫ

ﻢﮐاﺮﺗ ﺖﯿﻠﺑﺎﻗ و (زﺪﻟﻮﻨﯾر دﺪﻋ) ﺖﺟﺰﻟ يﺮﯾﺬﭘ

ﻢﻬﻣ ﺎﻫ ﯽﻣ ﺖﻗر ،ﺮﺘﻣارﺎﭘ ﻦﯾﺮﺗ ﻦﯾا ﻪﺑ ﺰﯿﻧ نﺎﯾﺮﺟ ﻢﯾژر و يراﺬﮔ

ﯽﻣ ﻪﺑ ﻪﺟﻮﺗ ﺎﺑ ار نﺎﯾﺮﺟ ﻢﯾژر ناﻮﺗ

ﻪﺘﺳد :دﺮﮐ يﺪﻨﺑ

يزﺎﮔ يﺎﻫ ﻦﺳدﺎﻧ دﺪﻋ ﺐﺴﺣ ﺮﺑ

هدﺎﻔﺘﺳا و ﯽﺗﺎﻘﯿﻘﺤﺗ يﺎﻫزﺎﯿﻧ ﺮﯿﺧا يﺎﻫ ﻪﺘﻓﺎﯾ يدﺎﯾز رﺎﯿﺴﺑ جاور ﻮﻧﺎﻧ و وﺮﮑﯿﻣ دﺎﻌﺑا ﺎﺑ ﯽﮑﯿﻧﺎﮑﻣ ﻞﯾﺎﺳو

ﻢﻬﻣ زا ﺎﻫ ﺶﺨﺑ ﻦﯾﺮﺗ

،تراﺮﺣ لﺎﻘﺘﻧا ﺪﻨﻧﺎﻣ ﻒﻠﺘﺨﻣ فاﺪﻫا ﺎﺑ لﺎﯿﺳ لﺎﻘﺘﻧا رﻮﻈﻨﻣ ﺖﺧﻮﺳ و ﯽﯾﺎﺠﺑﺎﺟ ﯽﻣ راﺮﻗ هدﺎﻔﺘﺳا درﻮﻣ ﯽﻧﺎﺳر

ﺘﺴﯿﺳ رد دﺎﻌﺑا ﻦﯾا ﺎﺑ ﯽﯾﺎﻫ يا راد ﻢﻫ .ﺪﻧ ﻢﺘﺴﯿﺳ ﯽﺳرﺮﺑ ﺖﯿﻤﻫا ﻦﯿﻨﭼ

لﺎﻧﺎﮐوﺮﮑﯿﻣ رد نﺎﯾﺮﺟ ﻪﺑﺎﺸﻣ گﺮﯾﻮﻣ رد نﺎﯾﺮﺟ ﻪﻠﻤﺟ زا ﺎﻫ

وﺮﮑﯿﻣ دﺎﻌﺑا ﺎﺑ ﯽﺗﺎﯿﺣ يﺎﻫ

ﻪﻨﯿﻣز زا ﯽﮑﯾ ﻪﺑ ﻪﻨﯿﻣز زا ﺮﮕﯾد ﯽﮑﯾ .دﻮﺷ ﻞﯾﺪﺒﺗ راﺪﻓﺮﻃﺮﭘ يﺎﻫ

هﺪﺷ ﺚﻋﺎﺑ ﻪﮐ يدراﻮﻣ

ﻧﺎﮐوﺮﮑﯿﻣ رد زﺎﮔ نﺎﯾﺮﺟ

نﺎﯾﺮﺟ و وﺮﮑﯿﻣ دﺎﻌﺑا رد نﺎﯾﺮﺟ ﻦﯿﺑ ﯽﺒﺴﻧ ﻪﺑﺎﺸﺗ دﻮﺟو ﯽﻣ ﺎﻀﻓاﻮﻫ ﻊﯾﺎﻨﺻ رد رﺎﺸﻓ .ﺪﺷﺎﺑ

يﺎﻣد و ﺖﻋﺮﺳ ﺎﺑ ﺮﺑاﺮﺑ ،ﺪﻣﺎﺟ ﺢﻄﺳ يور لﺎﯿﺳ يﺎﻣد و ﺖﻋﺮﺳ ﻂﯾاﺮﺷ ﻦﯾا ﺎﻣا ،ﺪﺷﺎﺑ

ﺎﯾﺮﺟ رد .ﺖﺴﯿﻧ راﺮﻗﺮﺑ ﺎﻫ ةراﻮﯾد دوﺪﺤﻣ ﯽﺳﺎﻤﻣ ﺖﻋﺮﺳ ﮏﯾ ﺎﺑ لﺎﻧﺎﮐ

شﺮﭘ ﮏﯾ ﺰﯿﻧ هراﻮﯾد و لﺎﯿﺳ يﺎﻣد ﻦﯿﺑ ﻦﯿﻨﭼ

ﻦﯾا ﻪﺑ نﺎﻘﻘﺤﻣ ،هﺪﺷ ﺮﮐذ ﻂﯾاﺮﺷ دﻮﺟو ﺎﺑ .دراد دﻮﺟو ﯽﯾﺎﻣد ﻫ ﻪﮐ ﺪﻧا

تاﺮﺛا ﺖﻠﻋ ﻪﺑ ﯽﮕﺘﺳﻮﯿﭘ تﺎﯿﺿﺮﻓ ﺪﻨﭼ ﺮ

ﺲﮐﻮﺘﺳاﺮﯾوﺎﻧ تﻻدﺎﻌﻣ ﺎﻣا ،ﺖﺴﯿﻧ راﺮﻗﺮﺑ ﺖﻗر هدوﺪﺤﻣ رد

.ﺖﺳا هدﺎﻔﺘﺳا ﻞﺑﺎﻗ ﯽﺷﺰﻐﻟ نﺎﯾﺮﺟ ي

لﺎﻧﺎﮐوﺮﮐﺎﻣ فﻼﺧﺮﺑ و ﺖﻋﺮﺳ تاﺮﺛا ﻪﺑ زﺎﮔ نﺎﯾﺮﺟ ﻢﯾژر ﻪﮐ ﺎﻫ

ﻢﮐاﺮﺗ ﺖﯿﻠﺑﺎﻗ و (زﺪﻟﻮﻨﯾر دﺪﻋ) ﺖﺟﺰﻟ لﺎﻧﺎﮐوﺮﮑﯿﻣ رد ،دﻮﺷ ﻢﻬﻣ ﺎﻫ

ﺖﯿﻤﮐ ﻦﺳدﺎﻧ دﺪﻋ ﺎﺑ ﻪﮐ ﻦﯾا ﻪﺑ ﺰﯿﻧ نﺎﯾﺮﺟ ﻢﯾژر و يراﺬﮔ

ﯽﻣ هداد عﺎﺟرا ﺖﯿﺻﺎﺧ دﻮﺷ

. ﯽﻣ

ﺎﻧ دﺪﻋ ﺐﺴﺣ ﺮﺑ ﻦﺳد

ﻪﺘﺳد

نﺎﯾﺮﺟ ﻢﯾژر عاﻮﻧا يزﺎﮔ يﺎﻫ

1 - ﻪﻣﺪﻘﻣ

لﺎﺳ رد هدﺎﻔﺘﺳا و ﯽﺗﺎﻘﯿﻘﺤﺗ يﺎﻫزﺎﯿﻧ ﺮﯿﺧا يﺎﻫ ﻪﺘﻓﺎﯾ يدﺎﯾز رﺎﯿﺴﺑ جاور ﻮﻧﺎﻧ و وﺮﮑﯿﻣ دﺎﻌﺑا ﺎﺑ ﯽﮑﯿﻧﺎﮑﻣ ﻞﯾﺎﺳو

لﺎﻧﺎﮐ .ﺖﺳا ﻢﻬﻣ زا ﺎﻫ

ﻪﺑ ،تراﺮﺣ لﺎﻘﺘﻧا ﺪﻨﻧﺎﻣ ﻒﻠﺘﺨﻣ فاﺪﻫا ﺎﺑ لﺎﯿﺳ لﺎﻘﺘﻧا رﻮﻈﻨﻣ

ﺖﺧﻮﺳ و ﯽﯾﺎﺠﺑﺎﺟ لﺎﻧﺎﮐ ﺘﺴﯿﺳ رد دﺎﻌﺑا ﻦﯾا ﺎﺑ ﯽﯾﺎﻫ

هﮋﯾو ﺖﯿﻤﻫا يا

لﺎﻧﺎﮐوﺮﮑﯿﻣ رد نﺎﯾﺮﺟ ﻪﺑﺎﺸﻣ ﺖﻓﺎﺑ ﺮﮕﯾد وﺮﮑﯿﻣ دﺎﻌﺑا ﺎﺑ ﯽﺗﺎﯿﺣ يﺎﻫ

ﻪﻨﯿﻣز زا ﯽﮑﯾ ﻪﺑ ﻪﻨﯿﻣز هﺪﺷ ﺚﻋﺎﺑ ﻪﮐ يدراﻮﻣ نﺎﯾﺮﺟ و وﺮﮑﯿﻣ دﺎﻌﺑا رد نﺎﯾﺮﺟ ﻦﯿﺑ ﯽﺒﺴﻧ ﻪﺑﺎﺸﺗ دﻮﺟو ﯽﻣ ﺎﻀﻓاﻮﻫ ﻊﯾﺎﻨﺻ رد رﺎﺸﻓ يﺎﻣد و ﺖﻋﺮﺳ ﺎﺑ ﺮﺑاﺮﺑ ،ﺪﻣﺎﺟ ﺢﻄﺳ يور لﺎﯿﺳ يﺎﻣد و ﺖﻋﺮﺳ ﯽﻣ هراﻮﯾد ﻂﯾاﺮﺷ ﻦﯾا ﺎﻣا ،ﺪﺷﺎﺑ

لﺎﻧﺎﮐوﺮﮑﯿﻣ ﺎﯾﺮﺟ رد .ﺖﺴﯿﻧ راﺮﻗﺮﺑ ﺎﻫ

ﺮﺑ لﺎﯿﺳ يور ةراﻮﯾد

ﯽﻣ ﻢﻫ .دﺰﻐﻟ شﺮﭘ ﮏﯾ ﺰﯿﻧ هراﻮﯾد و لﺎﯿﺳ يﺎﻣد ﻦﯿﺑ ﻦﯿﻨﭼ

ﻦﯾا ﻪﺑ نﺎﻘﻘﺤﻣ ،هﺪﺷ ﺮﮐذ ﻂﯾاﺮﺷ دﻮﺟو ﺎﺑ .دراد دﻮﺟو ﯽﯾﺎﻣد هﺪﯿﺳر ﻪﺠﯿﺘﻧ ﻫ ﻪﮐ ﺪﻧا

ﺲﮐﻮﺘﺳاﺮﯾوﺎﻧ تﻻدﺎﻌﻣ ﺎﻣا ،ﺖﺴﯿﻧ راﺮﻗﺮﺑ ﺖﻗر ﯽﺷﺰﻐﻟ يزﺮﻣ هدوﺪﺤﻣ رد

لﺎﻧﺎﮐوﺮﮐﺎﻣ فﻼﺧﺮﺑ ﻢﮐاﺮﺗ ﺖﯿﻠﺑﺎﻗ و (زﺪﻟﻮﻨﯾر دﺪﻋ) ﺖﺟﺰﻟ هداد ﯽﻣ لﺎﻧﺎﮐوﺮﮑﯿﻣ رد ،دﻮﺷ

ﺖﯿﻤﮐ ﻦﺳدﺎﻧ دﺪﻋ ﺎﺑ ﻪﮐ ﯽﻣ هداد عﺎﺟرا ﺖﯿﺻﺎﺧ ﻞﮑﺷ 1 ﺎﻧ دﺪﻋ ﺐﺴﺣ ﺮﺑ

ﻞﮑﺷ 1 نﺎﯾﺮﺟ ﻢﯾژر عاﻮﻧا

1 لﺎﺳ رد ﻪﺘﻓﺎﯾ يدﺎﯾز رﺎﯿﺴﺑ جاور ﻮﻧﺎﻧ و وﺮﮑﯿﻣ دﺎﻌﺑا ﺎﺑ ﯽﮑﯿﻧﺎﮑﻣ ﻞﯾﺎﺳو لﺎﻧﺎﮐ .ﺖﺳا ﻪﺑ ﺖﺧﻮﺳ و ﯽﯾﺎﺠﺑﺎﺟ لﺎﻧﺎﮐ هﮋﯾو ﺖﯿﻤﻫا لﺎﻧﺎﮐوﺮﮑﯿﻣ رد نﺎﯾﺮﺟ ﻪﺑﺎﺸﻣ ﺖﻓﺎﺑ ﺮﮕﯾد ﻪﻨﯿﻣز زا ﯽﮑﯾ ﻪﺑ ﻪﻨﯿﻣز هﺪﺷ ﺚﻋﺎﺑ ﻪﮐ يدراﻮﻣ نﺎﯾﺮﺟ و وﺮﮑﯿﻣ دﺎﻌﺑا رد نﺎﯾﺮﺟ ﻦﯿﺑ ﯽﺒﺴﻧ ﻪﺑﺎﺸﺗ دﻮﺟو ﯽﻣ ﺎﻀﻓاﻮﻫ ﻊﯾﺎﻨﺻ رد رﺎﺸﻓ يﺎﻣد و ﺖﻋﺮﺳ ﺎﺑ ﺮﺑاﺮﺑ ،ﺪﻣﺎﺟ ﺢﻄﺳ يور لﺎﯿﺳ يﺎﻣد و ﺖﻋﺮﺳ ﯽﻣ هراﻮﯾد لﺎﻧﺎﮐوﺮﮑﯿﻣ ﺮﺑ لﺎﯿﺳ ﯽﻣ ﻦﯾا ﻪﺑ نﺎﻘﻘﺤﻣ ،هﺪﺷ ﺮﮐذ ﻂﯾاﺮﺷ دﻮﺟو ﺎﺑ .دراد دﻮﺟو ﯽﯾﺎﻣد هﺪﯿﺳر ﻪﺠﯿﺘﻧ ﺲﮐﻮﺘﺳاﺮﯾوﺎﻧ تﻻدﺎﻌﻣ ﺎﻣا ،ﺖﺴﯿﻧ راﺮﻗﺮﺑ ﺖﻗر ﯽﺷﺰﻐﻟ يزﺮﻣ لﺎﻧﺎﮐوﺮﮐﺎﻣ فﻼﺧﺮﺑ ﻢﮐاﺮﺗ ﺖﯿﻠﺑﺎﻗ و (زﺪﻟﻮﻨﯾر دﺪﻋ) ﺖﺟﺰﻟ هداد ﺖﯿﻤﮐ ﻦﺳدﺎﻧ دﺪﻋ ﺎﺑ ﻪﮐ ﯽﻣ هداد عﺎﺟرا ﺖﯿﺻﺎﺧ ﻞﮑﺷ

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