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首页> 外文期刊>Applied Mathematical Modelling >Analysis of shear banding phenomena in non-isothermal flow of fluids governed by the diffusive Johnson-Segalman model
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Analysis of shear banding phenomena in non-isothermal flow of fluids governed by the diffusive Johnson-Segalman model

机译：扩散Johnson-Segalman模型控制的非等温流体中的剪切带现象

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摘要

This article investigates phenomena associated with shear banded flows of viscoelastic fluids in both pipe flow and coaxial annular flow. We in particular computationally analyze the effects of stress diffusion, non-isothermal flow conditions and annular gap size on the shear stress path selection (and the selected shear stress value) in shear banded flow of viscoelastic fluids described by the non-local Diffusive Johnson-Segalman (DJS) constitutive model. The DJS model is one of such constitutive models which allows us for a non-zero inter-facial layer between regions of high and low shear rates within the flow field. Temperature effects due to polymer orientation changes, entropic effects (resulting from stress work), conduction heat transfer, Arrhenius chemical kinetics as well as the influence of slip and related frictional heating on the wall are all accounted for. The time dependent model formulated to capture gap effect in the axial annular flow problem (under certain values of the relevant parameters), reduces to the system of equations governing a pipe flow setup. Semi-implicit finite difference methods are employed for the solution process of the coupled nonlinear time dependent partial differential equations governing the flow problem. We discuss with graphical representations the effect of temperature, stress diffusion, wall slip, suction/injection and annular gap size on the related shear rate path selection phenomena for certain material parameter values.
机译：本文研究在管道流动和同轴环形流动中与粘弹性流体的剪切带流动有关的现象。我们特别地通过非局部扩散约翰逊方程描述了在粘弹性流体的剪切带流动中应力扩散，非等温流动条件和环形间隙尺寸对剪切应力路径选择（和所选剪切应力值）的影响的计算方法。 Segalman（DJS）本构模型。 DJS模型就是这种本构模型之一，它使我们能够在流场内高剪切率和低剪切率区域之间形成非零界面层。都考虑了由于聚合物取向变化，熵效应（由于应力作用而产生），传导热传递，Arrhenius化学动力学以及壁上的滑移和相关的摩擦热的影响而产生的温度效应。为捕获轴向环形流问题中的间隙效应（在相关参数的某些值下）而制定的时变模型简化为控制管道流量设置的方程组。半隐式有限差分法用于控制流动问题的耦合非线性时间相关偏微分方程的求解过程。我们以图形表示形式讨论了温度，应力扩散，壁滑，吸力/喷射力和环形间隙尺寸对某些材料参数值的相关剪切速率路径选择现象的影响。

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