محاسبه تولید انتروپی تابش سطحی با توسعه روش تابش خالص در محفظه‌ای مایل همراه با جابه‌جایی طبیعی

نوع مقاله : مقاله پژوهشی

نویسندگان

گروه مهندسی مکانیک، دانشگاه بیرجند، بیرجند، ایران.

چکیده

در این مقاله با توسعه روش تابش خالص، تولید انتروپی تابش سطحی در محفظه‌ای ‌مایل همراه با جابه‌جایی طبیعی تحلیل و بررسی شده است. معادلات حاکم با فرمول‌بندی تابع جریان-ورتیسیتی با ‏روش تفاضل‌محدود و معادلات تابش سطحی با روش تابش خالص طیفی حل می‌گردند. تولید انتروپی تابش سطحی، شامل انتروپی تابشی در میدان و در ماده است. در این روش، با حل معادلات تابش خالص به‌صورت طیفی، شدت تابش ورودی و خروجی از سطوح بدست می‌آید آنگاه، انتروپی تابشی در ماده و شدت انتروپی تابشی طیفی محاسبه و در‌پایان با استفاده از شدت انتروپی تابشی طیفی، انتروپی تابشی در میدان محاسبه می‌گردد. جهت صحت محاسبه تولید انتروپی تابش سطحی، روش تابش خالص توسعه داده با قانون دوم ترمودینامیک، اعتبارسنجی شده است. تأ‌ثیر عدد رایلی، ضریب صدور و زاویه محفظه بر تولید انتروپی بررسی می‌شود. نتایج نشان می‌دهد که با افزایش زاویه محفظه تولید انتروپی تابش سطحی کاهش می‌یابد. کمترین تولید انتروپی در زاویه90 درجه، حالتی که دیواره گرم دیواره پایینی محفظه باشد، اتفاق می‌افتد. همچنین 85% ‏تولید انتروپی کل‎‏ ‏ناشی از ‏تابش سطحی می‌باشد به‌طوری‌که تولید انتروپی ناشی از تأثیر تابش سطحی، ‏‎520‎‏% نسبت به حالتی‌که از ‏تابش سطحی چشم‌پوشی می‌گردد، افزایش می‌یابد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Calculation of Surface Radiation Entropy Generation by Developing the Net Radiation Method in an Inclined Enclosure with Natural Convection

نویسندگان [English]

  • Mehdi Fathipour
  • Ali Safavinejad
Department of Mechanical Engineering, University of Birjand, Birjand, Iran
چکیده [English]

In this article, by developing the net radiation method, the entropy generation of surface radiation in an inclined enclosure with natural convection has been investigated. The governing equations are solved by the stream-vorticity function with the finite difference method and the surface radiation equations are solved with the net spectral radiation method. Surface radiation entropy generation includes radiation entropy in the field and in the matter. In this method, by solving the equations of net radiation in a spectral form, the intensity of the incoming and outgoing radiation from the surfaces is obtained, then the radiation entropy in the matter and the intensity of the spectral radiation entropy are calculated, and finally, the radiation entropy in the field is calculated using the intensity of the spectral radiation entropy. In order to accurately calculate the entropy generation of surface radiation, the developed net radiation method has been validated with the second law of thermodynamics. The effect of Rayleigh number, emissivity and enclosure angle on entropy generation is investigated. The results show that the surface radiation entropy generation decreases with the increase of the enclosure angle. The lowest entropy generation occurs at an angle of 90 degrees, when the hot wall is the lower wall of the enclosure. Also, 85% of the total entropy generation is due to surface radiation. So that the entropy generation due to the effect of surface radiation increases by 520% compared to the case where surface radiation is ignored.

کلیدواژه‌ها [English]

  • surface radiation entropy
  • developed net radiation method
  • An inclined enclosure

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