جواب دقیق به فرم بسته برای انتقال حرارت از فین تابشی به شکل مستطیل

Subject Areas : International Journal of Industrial Mathematics

الیاس شیوانیان ¹ , فاطمه سهرابی ²

1 - گروه ریاضی کاربردی، دانشگاه بین المللی امام خمینی، قزوین، ایران.
2 - گروه ریاضی کاربردی، دانشگاه بین المللی امام خمینی، قزوین، ایران.

Received: 2020-05-31 Accepted : 2021-08-29 Published : 2021-10-01

Keywords: جواب تحلیلی دقیق, جواب یکتا, توزیع دما, بازدهی فین, نرخ انتقال,

Abstract :

در این مقاله، مساله تعیین انتقال حرارت از فین تابشی به شکل مستطیل بررسی می شود. ما حرارت یک بعدی و پایا در پره در نظر می گیریم و از تبادل تابشی بین پره های مجاور و بین پره و سطح اولیه آن صرفنظر می کنیم. نشان داده می شود که معادله فین حاکم، که یک معادله دیفرانسیل درجه دوم غیر خطی است، بصورت دقیق قابل حل است. جوابهای تحلیلی دقیق و به فرم بسته به شکل ضمنی برای تفسیر فیزیکی و بهینه سازی برای حداکثر انتقال حرارت مناسب ارایه می شود. علاوه بر این، جواب تحلیلی دقیق برای سرعت انتقال حرارت و بازده فین می شود.

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