Purpose

This study aims to explore the combined impacts of velocity and thermal slips on hybrid nanomaterial (GO+Ag+kerosene oil) bounded between two parallel infinite walls (plates). Both the walls are separated by a distance. The upper wall is subjected to squeezing with velocity, while the lower wall stretches with velocity. A uniform magnetic field acts normally to the flow. Moreover, heat transmission is analyzed in the presence of Joule heating. Heat transport characteristics are investigated by imposing the Cattaneo–Christov (C–C) heat flux model. The behavior of velocities, skin friction and temperature under sundry variables are examined graphically.

Design/methodology/approach

The obtained partial differential equations (PDEs) related to the considered problem are nondimensionalized by choosing appropriated variables. These nondimensional PDEs are then solved by the numerical technique, finite difference method (FDM). For implementation of this method, the obtained nondimensional PDEs are converted into finite difference equations (FDEs) using forward difference (FD) toolkits.

Findings

Velocity of the hybrid nanomaterial decreases with higher Hartman number and velocity slip parameter, while it increases with increase in Reynolds and squeezing numbers. Temperature of the hybrid nanomaterial increases for large Hartman number, Eckert number and squeezing parameter, while it is reduced by higher thermal slip parameter, thermal relaxation time parameter and nanoparticle volume fractions for graphene oxide (GO) and silver (Ag). Skin friction is controlled through higher Reynolds number, while it intensifies with nanoparticle volume fractions for GO and Ag.

Originality/value

Here, the authors have investigated 2D flow of hybrid nanomaterial bounded between two parallel walls. The lower and upper walls are subjected to stretching and squeezing, respectively. The authors guarantee that all outcomes and numerical technique (FDM) results are original, neither submitted nor published in any journal before.

中文翻译：

---

通过具有 Cattaneo-Christov (C-C) 热通量的 FDM 混合纳米材料挤压流中的焦耳加热

目的

本研究旨在探索速度和热滑移对两个平行无限壁（板）之间的混合纳米材料（GO+Ag+煤油）的综合影响。两堵墙相隔一段距离。上壁受到速度挤压，而下壁受到速度拉伸。均匀的磁场通常对流动起作用。此外，在存在焦耳热的情况下分析热传递。通过采用 Cattaneo-Christov (C-C) 热通量模型来研究热传输特性。以图形方式检查各种变量下的速度、皮肤摩擦和温度的行为。

设计/方法/方法

通过选择适当的变量，获得的与所考虑问题相关的偏微分方程 (PDE) 是无量纲的。然后通过数值技术有限差分法 (FDM) 求解这些无量纲偏微分方程。为了实现该方法，使用前向差分 (FD) 工具包将获得的无量纲 PDE 转换为有限差分方程 (FDE)。

发现

混合纳米材料的速度随着哈特曼数和速度滑移参数的增加而降低，而随着雷诺数和挤压数的增加而增加。混合纳米材料的温度随着哈特曼数、埃克特数和挤压参数的增加而增加，而对于氧化石墨烯 (GO) 和银 (Ag) 的热滑移参数、热弛豫时间参数和纳米粒子体积分数的增加，杂化纳米材料的温度会降低。皮肤摩擦通过更高的雷诺数来控制，而 GO 和 Ag 的纳米粒子体积分数会增强皮肤摩擦。

原创性/价值

在这里，作者研究了两个平行壁之间的混合纳米材料的二维流动。下壁和上壁分别受到拉伸和挤压。作者保证所有结果和数值技术 (FDM) 结果都是原创的，之前既没有提交也没有在任何期刊上发表过。