ضریب اصطکاک جریان مغشوش سیال پایه و نانوسیال از دیدگاه آماری

نوع مقاله : مقاله پژوهشی

نویسندگان

• فرهاد وحیدی نیا
• قنبرعلی شیخ زاده

دانشگاه کاشان

10.22067/fum-mech.v31i1.81926

چکیده

در این مقاله، روابط ارائه شده در متون علمی برای ضریب اصطکاک جریان مغشوش سیّال پایه و نانوسیّال به‌صورت آماری بررسی و تحلیل شده است. به‌منظور تحلیل آماری و انتخاب بهترین تابع توزیع احتمال برای پارامتر ضریب اصطکاک، از 48 تابع توزیع احتمالاتی و 3 آمارۀ کولموگروف‑اسمیرنوف، اندرسون‑دارلینگ و مربع کای استفاده شده است. پس از تجزیه‌وتحلیل نتایج، مشخص گردید که بر اساس هر سه آماره، تابع توزیع احتمال ضریب اصطکاک در سیّال پایه و نانوسیّال، تابع توزیع احتمال جانسون اس‌بی‌ است. همچنین مشاهده گردید که تابع توزیع احتمال ضریب اصطکاک سیّال پایه و نانوسیّال نسبت به تابع توزیع نرمال پهن‌تر است. از طرفی دیگر، چولگی تابع توزیع احتمال جانسون اس‌بی‌ به طرف راست است.

کلیدواژه‌ها

• ضریب اصطکاک
• جریان مغشوش
• تابع توزیع احتمال جانسون اس‌بی‌
• آماره‌های کولموگروف اسمیرنوف
• اندرسون دارلینگ و مربع کای

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عنوان مقاله [English]

The Friction Factor of Turbulent Flow of the Base Fluid and Nanofluid in the Statistical Approach

نویسنده [English]

• Farhad Vahidinia

چکیده [English]

In this paper, the presented correlations in scientific literature for friction factor of turbulent flow in the base fluid and nanofluid has been analyzed statistically. In order to perform the statistical analysis and select the best probability distribution function for the friction factor, from 48 probability distribution functions and 3 statistic of Kolmogorov-Smirnov, Anderson-Darling and chi squared has been used. The results show that, based on all three statistics, the probability distribution function of the friction factor in the base fluid and nanofluid is the Johnson SB probability distribution function. Furthermore, it was observed that the probability distribution function of the friction factor of the base fluid and nanofluid is wider than the normal distribution function. On the other side, the probability distribution function of Johnson SB has a right skewness.

کلیدواژه‌ها [English]

• Friction factor
• Johnson SB Probability Distribution Function
• Turbulent Flow
• The Statistics of Kolmogorov-Smirnov
• Anderson-Darling and Chi Squared

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