کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5470957 | 1519385 | 2017 | 40 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
New asymptotic heat transfer model in thin liquid films
ترجمه فارسی عنوان
مدل انتقال گرمای نامتقارن جدید در فیلم های مایع نازک
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کلمات کلیدی
انتقال گرما، فیلم مایع نازک، مدل سازی همبسته، امواج طولانی، خواص وابستگی حرارتی، اثر مارانگونی،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
چکیده انگلیسی
In this article, we present a model of heat transfer occurring through a liquid film flowing down a vertical wall. This new model is formally derived using the method of asymptotic expansions by introducing appropriately chosen dimensionless variables. In our study the small parameter, known as the film parameter, is chosen as the ratio of the flow depth to the characteristic wavelength. A new Nusselt solution is obtained, taking into account the hydrodynamic free surface variations and the contributions of the higher order terms coming from temperature variation effects. Comparisons are made with numerical solutions of the full Fourier equations in a steady state frame. The flow and heat transfer are coupled through Marangoni and temperature dependent viscosity effects. Even if these effects have been considered separately before, here a fully coupled model is proposed. Another novelty consists in the asymptotic approach in contrast to the weighted residual approach which have been formerly applied to these problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 48, August 2017, Pages 844-859
Journal: Applied Mathematical Modelling - Volume 48, August 2017, Pages 844-859
نویسندگان
Marx Chhay, Denys Dutykh, Marguerite Gisclon, Christian Ruyer-Quil,