نویسندگان
دانشکده مهندسی مکانیک، دانشگاه شهید چمران، اهواز
چکیده
رفتار بسیاری از سیالات را میتو راههای زیادی برای حل معادلات دیفرانسیل وجود دارد که شامل روشهای تحلیلی و عددی می‌شود. با این وجود حل بسیاری از معادلات دیفرانسیل مرتبه بالای بد وضع هنوز یک چالش اساسی به‌شمار میآید. معادلات دیفرانسیل حاکم بر نانوسیالات ویسکوالاستیک در مرزهای سیستم به‌طور عمومی بد وضع بوده و حل عددی آنها با چالشهای جدی مواجه است. از طرفی وجود نانوذرات در ابعاد بسیار ریز (زیر 100 نانومتر) باعث ایجاد پدیدههای انتقال حرارت و جرم جدید شده که بر پیچیدگی رفتار نانوسیالات ویسکوالاستیک میافزاید. بنابراین، ایجاد و یا گسترش روشهای تحلیلی یا نیمهایجاد و یا گسترش روشهای تحلیلی یا نیمهتحلیلی برای حل معادلات حاکم بر این نوع نانوسیالات امری ضروری است. در پژوهش حاضر، در یک ایده جدید و با استفاده از روشهای بهینه‌‌سازی هوشمند، روش جدیدی برای حل معادلات دیفرانسیل حاکم بر نانوسیالات ویسکوالاستیک ارائه شده است. با استفاده از بهینه‌‌سازی هوشمند سعی بر آن است تا با تغییر یک ایده ابتدایی به‌سوی جواب بهینه حرکت کرد که هم معادلات حاکم و هم شرایط مرزی را به‌خوبی ارضا کند. نتایج به‌دست آمده حاکی از توانایی و دقت بسیار خوب روش ارائه شده در حل معادلات دیفرانسیل مرتبه بالای حاکم بر نانوسیالات ویسکوالاستیک است.
کلیدواژه‌ها
عنوان مقاله [English]
A New Approach for Solving Heat and Mass Transfer Equations of Viscoelastic Nanofluids using Artificial Optimization Method
نویسندگان [English]
- A. Noghrehabadi
- R. Mirzaei
چکیده [English]
The behavior of many types of fluids can be simulated using differential equations. There are many approaches to solve differential equations, including analytical and numerical methods. However, solving an ill-posed high-order differential equation is still a major challenge. Generally, the governing differential equations of a viscoelastic nanofluid are ill-posed; hence, their solution is a challenging task. In addition, the presence of very tiny nanoparticles (lower than 100 nm) induces new heat and mass transfer mechanisms which can increase the complexity of the behavior of the viscoelastic nanofluids. Therefore, creating or developing new analytical or semi-analytical approaches to solve the governing equations of these types of nanofluids is highly demanded. In the present study, by using a new idea and utilizing an optimization approach, a new solution approach has been presented to solve the governing equations of viscoelastic nanofluids. By using the optimization method, a basic initial guess was changed toward an optimized solution satisfying all boundary conditions and the governing equations. The results indicate the robustness and accuracy of the presented method in dealing with the high-order ill-posed governing differential equations of viscoelastic nanofluids.
کلیدواژه‌ها [English]
- Viscoelastic nanofluid
- Similarity solution
- numerical approach
- Optimization method
- neural network
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