بررسی عددی اثر تلفات اصطکاکی و زبری سطح بر جریان سیال و انتقال‌ حرارت در میکروکانال‌ها با استفاده از بسط اختلالات

نویسندگان

دانشگاه صنعتی اصفهان

چکیده

در این مقاله اثر تلفات اصطکاکی و اثر زبری در میکروکانال‌ها در جریان لغزشی برروی انتقال حرارت و جریان سیال در میکروکانال‌ها با استفاده از بسط اختلالات معادلات حاکم بر جریان، بررسی شده است. جریان آرام و در حال توسعه هیدوردینامیکی و حرارتی، به‌صورت دوبعدی، تراکم‌ناپذیر و پایدار درنظر گرفته شده است. سیال عامل، هوا و بین دو صفحه موازی در جریان است. معادلات به‌دست آمده از بسط معادلات ناویر استوکس و انرژی بر‌حسب مراتب عدد نودسن به‌صورت عددی با شرایط مرزی مرتبه دو لغزش سرعت و پرش دما، حل شده‌اند. اثرات خزش گرمایی درنظر گرفته نشده است. میدان‌های سرعت و دما برای هر دو حالت شار حرارتی ثابت و دمای دیواره ثابت به‌دست آمده و بررسی شده است. اثرات ارتفاع زبری، فاصله میان المان‌های زبری، طول المان‌های زبری، عدد رینولدز و عدد نودسن برروی رفتار لغزشی گاز بررسی شده است. نتایج اثر قابل‌ توجه تلفات اصطکاکی و زبری را برروی جریان سیال و انتقال حرارت در میکروکانال نشان می‌دهد.‏

کلیدواژه‌ها


عنوان مقاله [English]

Numerical Study of Viscous Dissipation and Roughness Effects on Fluid Flow and Heat Transfer in Microchannels using Perturbation Method

نویسندگان [English]

  • R. Rajabi
  • M. Saghafian
چکیده [English]

In this paper, viscous dissipation and roughness effects on heat transfer and fluid flow are investigated in microchannels using perturbation method in slip flow regime. The flow is considered to be laminar, developing thermally and hydrodynamically, two-dimensional, incompressible and steady-state. The working fluid is air, flowing between two parallel plates. The equations obtained from developing Navier-Stokes and energy equations are solved numerically according to different orders of Knudsen number, with second-order velocity slip and temperature jump boundary conditions. The effects of thermal creep has been ignored. Tempreture and velocity fields are obtained and estimated for both constatnt heat flux and constant wall tempreture. The effects of roughness height, space between roughness elements, roughness elements length, Re number and Kn number on slip behavior of gas flow are investigated.The results indicate considerable effect of viscous dissipation and roughness on fluid flow and heat transfer in microchannel.

کلیدواژه‌ها [English]

  • Heat transfer
  • viscous dissipation
  • slip flow
  • microchannel
  • perturbation method
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