IJE TRANSACTIONS A: Basics Vol. 26, No. 10 (October 2013) 1213-1224   

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J. Rahmannezhad, A. Ramezani and M. Kalteh
( Received: December 09, 2012 – Accepted: May 16, 2013 )

Abstract    In this work, the stencil adaptive method is applied to investigate the effects of a magnetic field on mixed convection of Al2O3-water nanofluid in a square lid-driven cavity. The incompressible Navier-Stokes equations are solved by an adaptive mesh method which has superior numerical advantages compared to the traditional method on the uniform fine grid. The main objective of this study is to investigate the influence of several pertinent parameters such as the Reynolds number, the Hartmann number and the solid particle volume fraction on the heat transfer performance of the nanofluid. Based on the obtained numerical results, the heat transfer rate increases with an increase of the Reynolds number but, it decreases with an increase of the Hartmann number. Also, the results indicate that heat transfer of the nanofluid could be either enhanced or mitigated with respect to that of the base fluid depending on the Reynolds number.


Keywords    Mixed convection; Nanofluids; Hartmann number; Reynolds number; Stencil adaptive method


چکیده    در این کار، الگوریتم الگوی تطبیقي برای مطالعه اثرات میدان مغناطیسي بر روی انتقال حرارت مختلط نانو سیال آب-اکسید آلومینیوم درون یک حفره مربعي، به کار گرفته شده است. معادلات تراکم ناپذير ناویر-استوکس با به کار گیری یک روش تطبیقي تولید شبکه که برتریهای خوبي نسبت به روشهاي سنتي بر روی شبکه­های یکنواخت ریز دارد، حل شده­اند. هدف اصلي این تحقیق بررسي اثر چندین پارامتر مهم مانند عدد رینولدز، عدد هارتمن و کسر حجمي ذرات جامد بر روی نحوه انتقال حرارت نانوسیال است. بر اساس نتايج عددي حاصله، نرخ انتقال حرارت با بافزایش عدد رینولدز افزایش مي­یابد اما با افزایش عدد هارتمن این نرخ کاهش مي­یابد. همچنین، نتایج نشان مي­دهند که بسته به عدد رینولدز جریان انتقال حرارت نانوسیال نسبت به سیال پایه مي­تواند بهبود یابد یا اینکه دچار کاهش شود.


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