asymptotic solution for large prandtl number for the flow of a power-law fluid through a porous medium over a rotating disk with heat transfer and viscous dissipation

حل تقاربي لعدد براندتل الكبير لجريان مائع قانون القوة عبر وسط مسامي فوق قرص دوار مع انتقال الحرارة والتبديد اللزج

Clicks: 350
ID: 147389
2015
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Abstract
The steady flow with heat transfer through a porous medium of a non- Newtonian power-law fluid due to the uniform rotation of a disk of infinite extent is studied. The porous medium is assumed to obey Darcy's model which accounts for the drag exerted linearly by the porous medium on the steady flow. Von Karman similarity transformation is used to transform the governing boundary layer partial differential equations to ordinary differential equations. Therefore, the resulting momentum equations as well as the energy equations including the viscous dissipation term are solved asymptotically for large values of the porosity parameter and Prandtl number.
تتم دراسة الجريان المستقر المصحوب بانتقال الحرارة عبر وسط مسامي لمائع غير نيوتوني يتبع قانون القوى، والناتج عن الدوران المنتظم لقرص لا نهائي الامتداد. ويُفترض أن الوسط المسامي يخضع لنموذج دارسي، الذي يأخذ في الحسبان قوة الإعاقة المؤثرة خطيًا من قِبل الوسط المسامي على الجريان المستقر. كما يُستخدم تحويل التشابه لفون كارمان لتحويل المعادلات التفاضلية الجزئية الحاكمة للطبقة الحدية إلى معادلات تفاضلية اعتيادية. وبناءً على ذلك، تُحل معادلات كمية الحركة ومعادلات الطاقة الناتجة، متضمنةً حد التبدد اللزج، حلًا مقاربًا عند قيم كبيرة لمعامل المسامية ورقم براندتل.
Reference Key
attia2015kragujevacasymptotic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Hazem Ali Attia;Karem Mahmoud Ewis;Abdeen Mostafa A.M.
Journal conflict, security and development
Year 2015
DOI
10.5937/KgJSci1537005H
URL
http://scindeks-clanci.ceon.rs/data/pdf/1450-9636/2015/1450-96361537005H.pdf
Keywords
heat transfer viscous dissipation rotating disk porous medium non-newtonian fluid

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