粘塑性材料rayleigh - bsamadard对流中的壁面滑移效应

IF 1.7 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Multidiscipline Modeling in Materials and Structures Pub Date : 2023-10-13 DOI:10.1108/mmms-05-2023-0185
Mohammad Saeid Aghighi, Christel Metivier, Sajad Fakhri
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引用次数: 0

摘要

目的研究粘塑性流体对滑移的敏感性。本研究的目的是确定滑移是否影响腔体中粘塑性流体的瑞利-巴姆纳德对流,如果影响,在什么条件下。设计/方法/方法使用粘塑性(Bingham)流体模型对壁滑移进行了评估。采用有限元法对耦合守恒方程进行了数值求解。对瑞利数、屈服数、滑移屈服数和摩擦数等参数进行了模拟。壁面滑移决定了两个基本的屈服应力:一个特定的屈服应力值,超过这个值壁面滑移就不可能发生(S_Yc);最大屈服应力(Y_c),超过此应力就不可能有对流流动。在低瑞利数时,Y_c小于S_Yc。因此,在达到无滑移状态之前,流动达到了稳定(传导)状态。然而,对于更显著的瑞利数,Y_c大于S_Yc。因此,流将在低产量数字滑,而保持无滑在高产量数字。在壁面上滑动的可能性增加了浮力,促进了瑞利-布氏对流的发生。独创性/价值本研究的一个重要方面在于其对滑移对腔内粘塑性材料自然对流流动的影响的全面检查,这是以前没有研究过的。该研究有助于对滑移引起的粘塑性流体行为有新的认识。
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Wall slip effects in Rayleigh–Bénard convection of viscoplastic materials
Purpose According to the research, viscoplastic fluids are sensitive to slipping. The purpose of this study is to determine whether slip affects the Rayleigh–Bénard convection of viscoplastic fluids in cavities and, if so, under what conditions. Design/methodology/approach The wall slip was evaluated using a model created for viscoplastic (Bingham) fluids. The coupled conservation equations were solved numerically using the finite element method. Simulations were performed for various parameters: the Rayleigh number, yield number, slip yield number and friction number. Findings Wall slip determines two essential yield stresses: a specific yield stress value beyond which wall slippage is impossible (S_Yc); and a maximum yield stress beyond which convective flow is impossible (Y_c). At low Rayleigh numbers, Y_c is smaller than S_Yc. Hence, the flow attained a stable (conduction) condition before achieving the no-slip condition. However, for more significant Rayleigh numbers Y_c exceeded S_Yc. Thus, the flow will slip at low yield numbers while remaining no-slip at high yield numbers. The possibility of slipping on the wall increases the buoyancy force, facilitating the onset of Rayleigh–Bénard convection. Originality/value An essential aspect of this study lies in its comprehensive examination of the effect of slippage on the natural convection flow of viscoplastic materials within a cavity, which has not been previously investigated. This research contributes to a new understanding of the viscoplastic fluid behavior resulting from slipping.
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来源期刊
CiteScore
3.70
自引率
5.00%
发文量
60
期刊介绍: Multidiscipline Modeling in Materials and Structures is published by Emerald Group Publishing Limited from 2010
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