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Journal of Engineering Volume 17 December 2011 Number 6 [ 1614 A GENERAL VELOCITY PROFILE FOR A LAMINAR BOUNDARY LAYER OVER FLAT PLATE WITH ZERO INCIDENCE Qussai J. Abdul-Ghafour* Department of Machines and Equipment, University of Technology, Baghdad, Iraq ABSTRACT A general velocity profile for a laminar flow over a flat plate with zero incidence is obtained by employing a new boundary condition to the other available boundary conditions. The general velocity profile is mathematically simple and nearest to the exact solution. Also other related values, boundary layer thickness, displacement thickness, momentum thickness and coefficient of friction are nearest to the exact solution compared with other corresponding values for other researchers. اﻟﺨﻼﺻﺔ اﻟ ﻟﻠﺠﺮﻳﺎن اﻟﻤﺘﺎﺧﻤﺔ اﻟﻄﺒﻘﺔ ﺧﻼل ﻟﻠﺴﺮﻋﺔ ﻋﺎﻣﺔ ﻣﻌﺎدﻟﺔ اﻳﺠﺎد ﺗﻢﺮفѧѧ ﺗﻮﻇﻴﻼلѧѧ اﻟﻤﺴﺘﻮي اﻟﺴﻄﺢ ﻓﻮق ﻄﺒﺎﻗﻲﻮﻓﺮةѧ اﻟﻤﺘѧ اﻟﻤﺤﻴﻄﻴﺮوفѧ اﻟﻈѧ اﻟﺎﻓﺔѧ ﺑﺎﻻﺿѧ ﺟﺪﻳ ﻣﺤﻴﻄﻲ. ﺴﻴﻄﺔѧﻴﺔѧ رﻳﺎﺿﻴﻐﺔѧ ذاتﺼﻠﺔѧ اﻟﻤﺴﺘﺤѧ اﻟﻌﺎﻣѧ اﻟﻤﻌﺎدﻟ اﻟﺘﺎم اﻟﺤﻞ ﻣﻦ ﻣﺎﺗﻜﻮن واﻗﺮب. ѧ اﻟﻌﻼﻗ ذاتﻴﻢѧ اﻟﻘ ﻻﻳﺠﺎد ﻟﻠﺴﺮﻋﺔ اﻟﻌﺎﻣﺔ اﻟﻤﻌﺎدﻟﺔ اﺳﺘﺨﺪام ﺗﻢ، ѧ اﻟﻤﺘﺎﺧﻤѧ اﻟﻄﺒﻘﻤﻚѧ و ﺳﻤﻚ اﻻزاﺣﺔ و اﻟﺰﺧﻢ ﺳﻤﻚ و اﻻﺣﺘﻜﺎك ﻣﻌﺎﻣﻞ

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Page 1: 295gdfgg1

Journal of Engineering Volume 17 December 2011 Number 6 [

1614

A GENERAL VELOCITY PROFILE FOR A LAMINAR BOUNDARY LAYER OVER FLAT PLATE WITH ZERO

INCIDENCE

Qussai J. Abdul-Ghafour* Department of Machines and Equipment, University of Technology, Baghdad, Iraq

ABSTRACT A general velocity profile for a laminar flow over a flat plate with zero incidence is obtained by employing a new boundary condition to the other available boundary conditions. The general velocity profile is mathematically simple and nearest to the exact solution. Also other related values, boundary layer thickness, displacement thickness, momentum thickness and coefficient of friction are nearest to the exact solution compared with other corresponding values for other researchers.

الخالصة

طباقي فوق السطح المستوي من خالل توظيف ظرف تم ايجاد معادلة عامة للسرعة خالل الطبقة المتاخمة للجريان ال وفرة ة المت ى الظروف المحيطي د باالضافة ال سيطة . محيطي جدي ة المستحصلة ذات صيغة رياضية ب ة العام المعادل

ة . واقرب ماتكون من الحل التام يم ذات العالق ة ، تم استخدام المعادلة العامة للسرعة اليجاد الق ة المتاخم وسمك الطبق معامل االحتكاك و سمك الزخم و االزاحةسمك