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On the Study of Viscoelastic Walters' B Fluid in Boundary Layer Flows

机译:边界层流动中粘弹性沃尔特斯B流体的研究

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Viscoelastic Walters' B fluid flows for three problems, stagnation-point flow, Blasius flow, and Sakiadis flow, have been investigated. In each problem, Cauchy equations are changed to a nondimensional differential equations using stream functions and with assumption of boundary layer flow. The fourth-order predictor-corrector finite-difference method for solving these nonlinear differential equations has been employed. The results that have been obtained using this method are compared with the results of the last studies, and it is clarified that this method is more accurate. It is also shown that the results of last study about Sakiadis flow of Walter's B fluid are not true. In addition, the effects of order of discretization in the boundaries are investigated. Moreover, it has been discussed about the valid region of Weissenberg numbers for the second-order approximation of viscoelastic fluids in each case of study.
机译:研究了粘弹性Walters B流体的三个问题,分别是滞流,Blasius流和Sakiadis流。在每个问题中,柯西方程都使用流函数并假设边界层流而变为无量纲微分方程。已经采用四阶预测器-校正器有限差分法来求解这些非线性微分方程。使用该方法获得的结果与最近的研究结果进行了比较,并且可以证明该方法更加准确。还表明,最近关于沃尔特B流体Sakiadis流动的研究结果是不正确的。另外,研究了边界中离散顺序的影响。此外,已经讨论了在每种研究情况下用于粘弹性流体二阶近似的魏森伯格数的有效区域。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第2期|p.477-494|共18页
  • 作者单位

    Department of Mechanical Engineering, College of Engineering, University of Tehran,Tehran 1439955961, Iran;

    Department of Mechanical Engineering, College of Engineering, University of Tehran,Tehran 1439955961, Iran;

    Department of Mechanical Engineering, College of Engineering, University of Tehran,Tehran 1439955961, Iran;

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