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首页> 外文期刊>Mathematics >Application of Recursive Theory of Slow Viscoelastic Flow to the Hydrodynamics of Second-Order Fluid Flowing through a Uniformly Porous Circular Tube
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Application of Recursive Theory of Slow Viscoelastic Flow to the Hydrodynamics of Second-Order Fluid Flowing through a Uniformly Porous Circular Tube

机译：缓慢粘弹性流动递归理论在均匀多孔圆管流动的二阶流体流体动力学中的应用

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摘要

Slow velocity fluid flow problems in small diameter channels have many important applications in science and industry. Many researchers have modeled the flow through renal tubule, hollow fiber dialyzer and flat plate dialyzer using Navier Stokes equations with suitable simplifying assumptions and boundary conditions. The aim of this article is to investigate the hydrodynamical aspects of steady, axisymmetric and slow flow of a general second-order Rivlin-Ericksen fluid in a porous-walled circular tube with constant wall permeability. The governing compatibility equation have been derived and solved analytically for the stream function by applying Langlois recursive approach for slow viscoelastic flows. Analytical expressions for velocity components, pressure, volume flow rate, fractional reabsorption, wall shear stress and stream function have been obtained correct to third order. The effects of wall Reynolds number and certain non-Newtonian parameters have been studied and presented graphically. The obtained analytical expressions are in agreement with the existing solutions in literature if non-Newtonian parameters approach to zero. The solutions obtained in this article may be considered as a generalization to the existing work. The results indicate that there is a significant dependence of the flow variables on the wall Reynolds number and non-Newtonian parameters.
机译：小直径通道中的缓慢速度流体流动问题在科学和工业中具有许多重要的应用。许多研究人员使用Navier Stokes方程式通过肾小管，中空纤维透析器和平板透析器进行了模拟，具有适当简化假设和边界条件。本文的目的是研究一种具有恒定壁渗透性的多孔壁圆形管中一般二阶脊髓纺刺流体的稳态，轴对称和慢速流动的流体动力学方面。通过应用Langlois递归方法对慢粘弹性流动来分析和解的控制兼容性方程。对于第三顺序，已经获得了用于速度分量，压力，体积流量，分数重吸收，壁剪切应力和流功能的分析表达。墙壁雷诺数和某些非牛顿参数的影响已被图示和呈现。如果非牛顿参数接近零，所获得的分析表达式与文献中的现有解决方案一致。本文中获得的溶液可被视为现有工作的概括。结果表明，流量变量对墙雷诺数和非牛顿参数存在显着依赖性。

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