Purpose

This paper aims to study the mixed convective process due to various dynamics, namely, inner rotating cylinders and upper-wavy wall movement for the first time.

Design/methodology/approach

The Galerkin finite element method together with the characteristic-based split scheme is applied to solve the governing system.

Findings

The main outcomes revealed that the direction of the rotation of the cylinders, radius and locations of the rotating shapes are beneficial controlling elements for the enhancement of heat transfer. Also, for all the considered cases, values of the Bejan number indicate that the fluid friction irreversibility is dominance compared to the heat transfer irreversibility. Further, average values of the heat transfer entropy, fluid friction entropy and total entropy are minimized in the case of fixed cylinders regardless of the cylinder radius.

Originality/value

The authors are interested in the mixed convection case due to regular boundaries and hence this simulation purposes a first attempt to examine the mixed convective flow due to irregular wavy boundaries. This study considered various dynamics, namely, inner rotating cylinders and wavy-lid driven wall which makes it more attractive to the readers. Various cases based on radius of the cylinder and direction of the rotations together with several locations of the rotating shapes are taken into account which makes the current simulation is comprehensive. Various studies presented in this field are made by commercial software and these treatments need special conditions (having limitation) but the current solution methodology is based on a finite element method home-code. Various important impacts, are, also, examined, namely, inclined geometry, inclined magnetic field, thermal radiation and heat generation/absorption. The entropy of the current complex system is analyzed based on the second law of thermodynamics.

中文翻译：

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由于圆柱体的旋转和带辐射的两侧波浪形外壳的波浪形壁的移动而产生的 MHD 对流过程

目的

本文旨在首次研究由各种动力学引起的混合对流过程，即内部旋转圆柱体和上波浪壁运动。

设计/方法/方法

应用伽辽金有限元法和基于特征的分裂方案来求解控制系统。

发现

主要结果表明，圆柱体的旋转方向、旋转形状的半径和位置是增强传热的有益控制因素。此外，对于所有考虑的情况，Bejan 数的值表明流体摩擦不可逆性与传热不可逆性相比占主导地位。此外，在固定圆柱体的情况下，无论圆柱体半径如何，传热熵、流体摩擦熵和总熵的平均值都被最小化。

原创性/价值

作者对规则边界引起的混合对流情况很感兴趣，因此该模拟旨在首次尝试检查由于不规则波浪边界引起的混合对流。这项研究考虑了各种动力学，即内部旋转圆柱体和波浪盖驱动壁，这使其对读者更具吸引力。考虑了基于圆柱半径和旋转方向的各种情况以及旋转形状的几个位置，这使得当前的模拟是全面的。该领域的各种研究都是通过商业软件进行的，这些处理需要特殊的条件（有局限性），但目前的解决方法是基于有限元方法的家庭代码。还研究了各种重要的影响，即倾斜几何，倾斜磁场、热辐射和热产生/吸收。基于热力学第二定律分析当前复杂系统的熵。