Powell-Eyring模型的平行平板间库埃特流动
发布时间：2018-10-18 12:09
【摘要】：利用同伦摄动法求解了平行平板间Powell-Eyring流体的库埃特流动,得到了近似解,并用切比雪夫谱配置法验证近似解.在此基础上,研究了无量纲参数无量纲压力梯度Ω和Powell-Eyring流体和牛顿流体的黏度之比Reγ对速度剖面u的影响.结果表明,同伦摄动法的收敛速度较快,展开到1阶解就完全跟数值解吻合;速度振幅随Ω增加而减少,随Reγ增加而增加.
[Abstract]:By using the homotopy perturbation method, the Kuett flow of the Powell-Eyring fluid between parallel plates is solved, and the approximate solution is obtained. The approximate solution is verified by the Chebyshev spectrum collocation method. On this basis, the influence of dimensionless parameter dimensionless pressure gradient 惟 and viscosity ratio Re 纬 of Powell-Eyring fluid to Newtonian fluid on velocity profile u is studied. The results show that the convergence rate of the homotopy perturbation method is faster, and the expansion of the first order solution is completely consistent with the numerical solution, and the velocity amplitude decreases with the increase of 惟 and increases with the increase of Re 纬.
【作者单位】： 内蒙古财经大学统计与数学学院;
【基金】：内蒙古自治区自然科学基金(2015MS0113) 内蒙古自治区高等学校科学技术研究一般项目(NJZY14109)
【分类号】：O35
，
本文编号：2279079
[Abstract]:By using the homotopy perturbation method, the Kuett flow of the Powell-Eyring fluid between parallel plates is solved, and the approximate solution is obtained. The approximate solution is verified by the Chebyshev spectrum collocation method. On this basis, the influence of dimensionless parameter dimensionless pressure gradient 惟 and viscosity ratio Re 纬 of Powell-Eyring fluid to Newtonian fluid on velocity profile u is studied. The results show that the convergence rate of the homotopy perturbation method is faster, and the expansion of the first order solution is completely consistent with the numerical solution, and the velocity amplitude decreases with the increase of 惟 and increases with the increase of Re 纬.
【作者单位】： 内蒙古财经大学统计与数学学院;
【基金】：内蒙古自治区自然科学基金(2015MS0113) 内蒙古自治区高等学校科学技术研究一般项目(NJZY14109)
【分类号】：O35
，
本文编号：2279079
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