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Effects of Navier slip on a steady flow of an incompressible viscous fluid confined within spirally enhanced channel
Journal of the Egyptian Mathematical Society Pub Date : 2020-06-15 , DOI: 10.1186/s42787-020-00081-9
J. A. Gbadeyan , J. U. Abubakar , T. L. Oyekunle

Investigation of the effect of slip on natural convective flow and heat transfer of a viscous incompressible fluid confined within a channel made up of a long vertical wavy wall and a parallel flat wall is carried out in this article. It is assumed that at the flat wall, there exists the slip condition. The coupled non-linear differential equations governing the fluid flow subjected to the relevant boundary conditions were perturbed and the resulting zero- and first-order set of equations were solved, using Adomian decomposition technique with the MAPLE 18 software. A comparison between the present study and an earlier one not involving a slip parameter and for which a different solution technique was used is carried out and the results are found consistent. The effects of various parameters involved in the problem viz Grashof number, slip parameter, heat source parameter, and wavelength parameter on the zero- and first-order temperature profile, velocity profile, skin friction, and Nusselt number at the walls are presented graphically and discussed quantitatively.

中文翻译:

纳维滑移对螺旋增强通道内不可压缩粘性流体稳定流动的影响

本文研究了滑移对受限于由长垂直波浪壁和平行平坦壁组成的通道内的粘性不可压缩流体的自然对流和传热的影响。假设在平坦的壁面上,存在滑移条件。控制受相关边界条件影响的流体流动的耦合非线性微分方程被扰动,并使用 Adomian 分解技术和 MAPLE 18 软件求解得到的零阶和一阶方程组。本研究与较早的不涉及滑移参数且使用不同求解技术的研究之间进行了比较,结果发现一致。问题中涉及的各种参数的影响,即 Grashof 数,
更新日期:2020-06-15
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