具有指数型非线性运动学的薄膜在多孔移动和非平面薄片上的稳定流动

IF 2.3 4区 工程技术 Q1 MATHEMATICS, APPLIED
Naeem Ullah, D. N. K. Marwat, Montaha Mohamed Ibrahim Mohamed, Sana Ben Moussa
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引用次数: 0

摘要

提出了一种粘性薄膜流动的广义模型,并将薄膜保持在多孔、移动和非平坦的薄片上。我们明确地强调了薄片的非均匀和非线性运动学,薄膜的变形和在边界处指定的所有量的变化都是指数型的。分析了薄膜和薄板的变形以及薄板的非线性运动对流动特性的综合影响。利用相似变换将控制偏微分方程转化为常微分方程,并利用bvp4c技术求解常微分方程的最终问题,同时绘制了薄膜和薄片的注射(吸力)、拉伸(收缩)和变形(收缩/膨胀)参数不同值下的速度和表面摩擦的结果图。注意,对于多个参数的选择,速度分布和表面摩擦的增加、减少、均匀、线性、非线性和边界层行为都被注意到。此外,在不同的参数值和不同的性质下,还观察到了上游和下游方向的流动情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Steady flow of thin film over porous moving and non‐flat sheet with nonlinear kinematics of exponential type
A generalized model of flow of viscous thin film has been presented and the film is maintained over a porous, moving and non‐flat sheet. We categorically emphasized on the nonuniform and nonlinear kinematics of the sheet and deformation of thin film and variation of all quantities specified at the boundaries are taken of exponential type. The combined effects of deformation of both thin film and sheet along with the nonlinear kinematics of sheet have been analyzed on the characteristics of flow. The governing partial differential equations are transformed into ordinary differential equations (ODEs) by using similarity transformations and the final problem of ODEs is solved with the help of bvp4c technique, whereas, the result for the velocity and skin friction are graphed for different values of the injection (suction), stretching (shrinking) and deformation (contraction/expansion) of both thin film and sheet parameters. Note that the increasing, decreasing, uniform, linear, nonlinear and boundary layer behaviors of the velocity profiles and skin friction are noted for multiple choices of the parameters. Moreover, flows in upstream and downstream directions have been observed for different values and diverse nature of the parameters.
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来源期刊
CiteScore
3.30
自引率
8.70%
发文量
199
审稿时长
3.0 months
期刊介绍: ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.
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