Comparison of G-Hot Plate and Three Point Methods to Measure Thermal Conductivity of Fibrous Insulation

Torabi, Amin; Nikouei, Seyed Mohammad

doi:10.22034/jsst.2025.1508

Comparison of G-Hot Plate and Three Point Methods to Measure Thermal Conductivity of Fibrous Insulation

Document Type : Original Research Paper

Authors

Amin Torabi ¹

Seyed Mohammad Nikouei ²

¹ PhD., Department of Engineering Aerospace, Shahid Sattari Aeronautical University, Tehran, Iran

² Phd., Department of Engineering Aerospace, Shahid Sattari Aeronautical University, Tehran, Iran

10.22034/jsst.2025.1508

Abstract

Laboratory methods for steady-state and transient testing are two well-known approaches for measuring the heat transfer coefficient. Transient methods are more widely used due to their lower cost and broader temperature range. However, their application in fibrous insulation is more limited due to the low thermal conductivity and non-homogeneous nature of these materials. Guarded hot plate and three-point methods are two significant transient techniques for measuring the heat transfer coefficient in fibrous insulations. This paper compares these two testing methods, with the primary evaluation criterion being the minimum variance in the final experimental results. The variance of the final results is inversely proportional to the determinant of the sensitivity matrix. To compute the sensitivity matrix, the transient temperature distribution across the insulation thickness is first calculated using an initial estimate of the heat transfer coefficient, obtained from other experimental sources. Changes in the number and placement of thermal sensors, the insulation geometry, and the test duration affect the determinant of the sensitivity matrix. The optimal experiment is determined by identifying the maximum determinant of this matrix. Studies show that in the three-point method, the optimal setup consists of two thermal sensors placed on an insulation layer with a thickness of 2 cm, over a duration of 100 seconds. In contrast, in the guarded hot plate method, the optimal setup includes two thermal sensors on insulation with a height of 5 cm, over a 300-second testing period. The analysis indicates that the variance of the final results in the three-point method is lower than in the guarded hot plate method, which can significantly enhance the accuracy of heat transfer coefficient measurements.

Keywords

Experiment Design

High Temperature Insulator

Transient Experiment

3 point method

Guarded Hot plate method

Subjects

Mechanical Engineering

Article Title Persian

مقایسه روش‌های آزمایش صفحه داغ حفاظ‌دار و سه نقطه برای اندازه‌گیری ضریب انتقال حرارتی در عایق‌های فیبری

Authors Persian

امین ترابی ¹

سید محمد نیکویی ²

¹ دکتری مهندسی هوافضا، دانشکده مهندسی هوافضا، دانشگاه شهید ستاری، تهران، ایران

² دکتری مهندسی هوافضا، دانشکده مهندسی هوافضا، دانشگاه شهید ستاری، تهران، ایران

Abstract Persian

روش‌های آزمایشگاهی پایا و گذرا دو روش شناخته‌شده برای اندازه‌گیری ضریب انتقال حرارت هستند. روش‌های گذرا به دلیل هزینه پایین و طیف دمایی گسترده‌تر کاربرد بیشتری دارند. ولی در مورد عایق‌های فیبری کاربرد روش‌های گذرا کمتر است. این موضوع به دلیل رسانایی ضعیف، نمونه‌های غیرهمگن در این عایق‌ها است. صفحه داغ حفاظ‌دار و سه نقطه، دو روش مهم در اندازه‌گیری ضریب انتقال حرارت در عایق‌های فیبری محسوب می‌شوند. این مقاله به مقایسه این دو روش آزمایش پرداخته و معیار اصلی بررسی، حداقل واریانس در نتیجه نهایی آزمایش است. واریانس نتیجه نهایی نسبت معکوس با دترمینان ماتریس حساسیت دارد. برای محاسبه ماتریس حساسیت، ابتدا توزیع دما در ضخامت عایق حرارتی به‌صورت گذرا و با در نظر گرفتن تخمین اولیه برای ضرایب انتقال حرارت محاسبه می‌شود. این تخمین اولیه از داده‌های آزمایشگاهی منابع دیگر به‌دست آمده است. تغییر در تعداد سنسورهای حرارتی، محل قرارگیری آنها، هندسه عایق و مدت زمان آزمایش باعث تغییر در مقدار دترمینان ماتریس حساسیت خواهد شد. آزمایش بهینه با یافتن مقدار بیشینه این دترمینان مشخص می‌شود. بررسی‌ها نشان می‌دهند که در روش آزمایش گذرای سه نقطه، حالت بهینه استفاده از دو سنسور حرارتی بر روی عایق با ضخامت ۲ سانتی‌متر طی ۱۰۰ ثانیه است، در حالی که در روش صفحه داغ حفاظ‌دار، حالت بهینه شامل دو سنسور حرارتی روی عایق با ارتفاع ۵ سانتی‌متر طی ۳۰۰ ثانیه می‌باشد. تحلیل‌ها نشان می‌دهند که واریانس نتیجه نهایی در روش سه نقطه، کمتر از روش صفحه داغ حفاظ‌دار است، که می‌تواند تأثیر مهمی بر دقت اندازه‌گیری ضریب انتقال حرارت داشته باشد.

Keywords Persian

طراحی آزمایش

عایق حرارتی دما بالا

آزمایش گذرا

روش سه نقطه

روش صفحه داغ حفاظ‌دار

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