威廉逊流体在含有纳米颗粒的拉伸薄片上的流动

F. Deba, A. Rehman, Z. Khan, Saleem Iqbal, Naveed Sheikh
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引用次数: 3

摘要

本文试图研究含有纳米颗粒的Williamson流体流动问题的非牛顿粘弹性模型的行为,并假设纳米颗粒沿其表面沿两个方向以相同的恒定表面拉伸速度流过拉伸片。首先将质量守恒、线性动量守恒和能量守恒的边界层控制方程与适当的边界条件一起建模为一组非线性耦合偏微分方程。对纳米流体在拉伸薄片上流动的影响进行了数值研究。利用动量和传热的Navier-Stokes方程建立了Williamson流体的基本方程。在适当的相似变换的帮助下,将这对微分方程转化为最新的耦合非线性微分方程系统。利用四阶射击法对这些变换后的方程组进行数值计算。得到了模型方程组的主要物理性质为壁面剪应力和表面摩擦系数。通过表格和图表讨论了涉及到的重要的无量纲参数如Williamson流体参数和纳米颗粒体积分数的无量纲速度和热流分布的行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Flow of a Williamson Fluid over a Stretching Sheet Containing Nanoparticles
In this article, an attempt has been made to study the behavior of non-Newtonian viscoelastic model of a Williamson fluid flow problem containing nanoparticles and is assumed to be flowing over a stretching sheet stretched along its surface in both directions with the same constant surface stretching velocity. The boundary layer governing equations of the conservation of mass, conservation of linear momentum and the energy are first modeled into a set of nonlinear coupled partial differential equations along with the appropriate boundary conditions. A numerical study of impact of nanofluid flow over a stretching sheet is tabulated. The basic equations of Williamson fluid are modeled with the help of Navier-Stokes equations for momentum and heat transfer. With the assistance of appropriate similarity transformations these pair of PEDs is transformed into up-to-date system of coupled nonlinear ODEs. These transformed systems of equations are evaluated numerically with the assistance of shooting method using forth order. The dominant physical properties for system of equations of the model that is wall shear stress, and the coefficient of skin friction are acquired. The behavior of nondimensional velocity and thermal flow profiles are discussed for the important involved dimensionless parameters like the Williamson fluid parameter and the nanoparticles volume fraction through tables and graphs.
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