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Physical Overview of the Instability in Laminar Wall-Bounded Flows of Viscoplastic and Viscoelastic Fluids at Subcritical Reynolds Numbers | ||
Journal of Heat and Mass Transfer Research | ||
دوره 10، شماره 1 - شماره پیاپی 19، شهریور 2023، صفحه 135-146 اصل مقاله (565.63 K) | ||
نوع مقاله: Review Article | ||
شناسه دیجیتال (DOI): 10.22075/jhmtr.2023.31061.1455 | ||
نویسندگان | ||
Hamed Mirzaee* 1؛ Goodarz Ahmadi2؛ Roohollah Rafee1؛ Farhad Talebi1 | ||
1Faculty of Mechanical Engineering, Semnan University, Semnan, Iran | ||
2Department of Mechanical and Aerospace Engineering, Clarkson University, Potsdam, NY, USA | ||
تاریخ دریافت: 05 تیر 1402، تاریخ بازنگری: 10 شهریور 1402، تاریخ پذیرش: 10 شهریور 1402 | ||
چکیده | ||
This paper reviews the latest findings on instability and subcritical transition to turbulence in wall-bounded flows (i.e., pipe Poiseuille flow, plane channel flow, and plane Couette flow). Among the non-Newtonian fluids, viscoelastic and viscoplastic fluids were investigated. The main focus was on the early stage of transitional flow and the appearance of coherent structures. The scaling of threshold disturbance amplitude for the onset of natural transition was discussed. In addition, the transition of Newtonian fluids was compared with that of non-Newtonian fluids. Accordingly, the scaling for the transition of viscoelastic (i.e., highly elastic) fluid can be shown as Ac=O(Wig), where Wi is the Weissenberg number, g≤-1 is a scaling constant, and Ac is the critical perturbation amplitude. Moreover, the viscoelastic fluid flow at high Re numbers (i.e., Re>>1) is more stable than the Newtonian fluid flow in terms of the critical disturbance magnitude. Interestingly, the scaling for instability of viscoplastic fluid can be read as Rec=O(Bib), where Bi is the Bingham number and b≤1 is a constant. It was noted that exploration of perturbations like vortices, streaks, and traveling waves together with their amplitudes could clarify the instability and transition process. Hence, this paper focused on physical behavior and realizations of the transitional flow. Finally, a summary of consequential implications and some open issues for future works were presented and discussed. | ||
کلیدواژهها | ||
Flow, Instability؛ Transition؛ Perturbation؛ Amplitude؛ Non-Newtonian fluids | ||
عنوان مقاله [English] | ||
مرور فیزیکی ناپایداری در جریان های محدود به دیوار سیالات ویسکوپلاستیک و ویسکوالاستیک در اعداد رینولدز زیر بحرانی | ||
چکیده [English] | ||
این مقاله آخرین یافته ها درباره ناپایداری و انتقال به آشفتگی زیر بحرانی در جریان های محدود به دیوار (جریان پوازی لوله، جریان کانال صفحه ای و جریان کوئت صفحه ای) را مرور می کند. از میان سیالات غیر نیوتنی، سیالات ویسکوپلاستیک و ویسکوالاستیک بررسی شدند. تمرکز اصلی بر مرحله ابتدایی جریان انتقالی و پدیدار شدن ساختارهای منظم بود. مرتبه سنجی دامنه اغتشاشات بحرانی برای شروع انتقال طبیعی مورد بحث قرار گرفت. علاوه بر این، انتقال سیالات نیوتنی با انتقال سیالات غیر نیوتنی مقایسه گردید. بر طبق آن، مرتبه سنجی برای انتقال سیالات ویسکوالاستیک (بسیار الاستیک) می تواند بصورت Ac=O(Wig) نشان داده شود که Wi عدد وایزنبرگ، g≤-1 یک ثابت و Ac دامنه اغتشاش بحرانی می باشند. همچنین جریان سیالات ویسکوالاستیک در اعداد رینولدز زیاد (Re>>1) از جریان سیالات نیوتنی از لحاظ اندازه اغتشاش بحرانی پایدارتر است. جالب توجه است که مرتبه سنجی برای انتقال سیالات ویسکوپلاستیک بصورت Rec=O(Bib) خوانده می شود که Bi عدد بینگهام و b≤1 یک ثابت می باشند. اشاره شد که بررسی اغتشاشاتی مانند گردابه ها، رگه ها و امواج در حال حرکت همراه با دامنه هایشان می تواند ناپایداری و فرایند انتقال را روشن نماید. به همین دلیل، این مقاله بر رفتار فیزیکی و مشاهدات جریان انتقالی متمرکز گردید. در انتها، خلاصه ای از نتایج مهم و برخی مسائل باز برای کارهای آینده ارائه و بحث شدند. | ||
کلیدواژهها [English] | ||
جریان, ناپایداری, انتقال, اغتشاش, دامنه, سیالات غیر نیوتنی | ||
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