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Monte Carlo Method for Calculating View Factor of Truncated Cone Radiators | ||
| Journal of Heat and Mass Transfer Research | ||
| دوره 10، شماره 2 - شماره پیاپی 20، بهمن 2023، صفحه 269-278 اصل مقاله (738.92 K) | ||
| نوع مقاله: Full Length Research Article | ||
| شناسه دیجیتال (DOI): 10.22075/jhmtr.2023.30700.1444 | ||
| نویسندگان | ||
| Mojtaba Mirhosseini* ؛ Amirpouya Hosseini | ||
| School of Advanced Technologies, Iran University of Science and Technology, Tehran, Iran | ||
| تاریخ دریافت: 30 اردیبهشت 1402، تاریخ بازنگری: 30 آذر 1402، تاریخ پذیرش: 03 دی 1402 | ||
| چکیده | ||
| To address radiative heat transfer problems, the determination of view factors is crucial. In this study, the focus is placed on the calculation of the view factor using the Monte Carlo method, specifically for truncated cone radiators. Although reference books offer theoretical relations for computing the view factor, a new approach employing the Monte Carlo method is utilized to ensure the accuracy of the general solution. To measure the accuracy, three types of cases are considered: positive, negative, and zero-angle truncated cones with a fixed disk (ring) at the base of the cone. The results are presented for various ratios between the height of the truncated cone and the radii of the ring and base side of the cone. Additionally, the impact of different angles of the truncated cone on the view factor is investigated. In the zero-angle case, five different L/r1 are examined, in the positive angle case, seven different positive angles in two different L/r1 are studied, and in the negative angle case, three negative angles in three different L/r1 are studied. For positive angles, the maximum difference between the results of Monte Carlo method and theoretical method is 42.81% and occurred in L/r1 equal to 5 and 40 degrees. While for zero-angle the maximum difference is 30.16% and occurred in L/r1 equal to 10. In the negative angle case, the maximum difference is 36.66% and occurred in L/r1 equal to 0.2 and -15 degrees. | ||
| کلیدواژه‌ها | ||
| Radiation؛ Ray tracing method؛ Monte Carlo method؛ Configuration factor؛ Frustum؛ Cone angle | ||
| عنوان مقاله [English] | ||
| روش مونت کارلو برای محاسبه ضریب دید رادیاتورهای مخروطی ناقص | ||
| چکیده [English] | ||
| برای حل مسائل انتقال حرارت تشعشعی، تعیین ضرایب دید امری بسیار حیاتی محسوب می‌شود. در این مطالعه، تمرکز بر روی محاسبه ضریب دید با استفاده از روش مونت کارلو برای رادیاتورهای به شکل مخروط ناقص می باشد. هرچند کتاب‌های مرجع روابط تحلیلی برای محاسبه ضریب دید را ارائه می‌دهند، اما در این مطالعه از یک رویکرد نوین با استفاده از روش مونت کارلو به منظور تضمین دقت در نتایج بهره گرفته شده است. برای بررسی دقت، سه نوع حالت مخروط ناقص (با زاویه های مثبت، منفی، و صفر) با یک دیسک (حلقه) ثابت در قاعده مخروط مدنظر قرار گرفته‌اند. نتایج برای نسبت‌های مختلف بین ارتفاع مخروط ناقص و شعاع حلقه و قاعده مخروط ارائه شده‌اند. به علاوه، تأثیر زوایای مختلف مخروط ناقص بر ضریب دید مورد بررسی قرار گرفته است. در حالت زاویه صفر، پنج مقدار مختلف از نسبت L/r1 مورد بررسی قرار گرفته‌اند؛ در حالت زاویه مثبت، هفت زاویه مثبت مختلف در دو مقدار مختلف از L/r1 مورد مطالعه قرار گرفته‌اند؛ و در حالت زاویه منفی، سه زاویه منفی در سه مقدار مختلف از L/r1 بررسی شده‌اند. برای زوایای مثبت، بیشترین اختلاف بین نتایج روش مونت کارلو و روش تحلیلی %42.81 است که در L/r1 برابر با 5 و زاویه 40 درجه رخ داده است. در حالی که برای حالت زاویه صفر، بیشترین اختلاف %30.16 و در L/r1 برابر با 10 رخ داده است. در حالت زاویه منفی، بیشترین اختلاف %36.66 و در L/r1 برابر با 0.2 و زاویه منفی ۱۵ درجه رخ داده است. | ||
| کلیدواژه‌ها [English] | ||
| تشعشع؛ روش ردیابی اشعه, روش مونت کارلو؛ ضریب شکل؛ مخروط ناقص؛ زاویه مخروط | ||
| مراجع | ||
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