The rotating disk system is widely used in several important applications, including turbomachinery design, mixing and stirring processes, centrifugal blood pumps development, optimizing electronic component, cooling efficiency, and various others. Moreover, regression models offer comprehensive and reliable prediction for important parameters in flows developed by revolving disks. This article presents similarity solutions for coupled heat and mass transfer with viscous dissipation in an inelastic non-Newtonian fluid flow across a permeable revolving disk. The inclusion of diffusion terms due to Dufour and Soret effects establishes coupling between energy and concentration equations. Temperature and concentrations at disk surface are supposed to vary quadratically along the radial direction. The impacts of MHD, heat source/sink dynamics and Joule heating effects on thermal boundary layer are also scrutinized. MATLAB's bvp5c tool, based on collocation scheme, generates numerical results. Homotopy analysis method, a widely accepted analytical solution procedure, is then applied to produce the series solution. Selection of the optimal auxiliary parameter values featured in the series solution is also included. The impact of Reiner-Rivlin fluid assumption on the torque required by the disk is assessed. Furthermore, linear and quadratic regression models are developed for the skin friction factors, Nusselt number and Sherwood number.

中文翻译：

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使用回归模型探索涉及 Reiner-Rivlin 流体的冯卡门动力学中的综合传热传质


转盘系统广泛应用于多个重要应用，包括涡轮机械设计、混合和搅拌过程、离心血泵开发、优化电子元件、冷却效率等。此外，回归模型为转盘产生的流动中的重要参数提供全面且可靠的预测。本文提出了流经可渗透旋转盘的非弹性非牛顿流体中的粘性耗散耦合传热传质的相似解决方案。由于杜福尔和索雷特效应而包含的扩散项建立了能量方程和浓度方程之间的耦合。盘表面的温度和浓度应该沿着径向呈二次方变化。还仔细研究了 MHD、热源/汇动力学和焦耳热效应对热边界层的影响。 MATLAB 的 bvp5c 工具基于配置方案生成数值结果。然后应用同伦分析方法（一种广泛接受的解析解法）来产生级数解。还包括选择系列解决方案中的最佳辅助参数值。评估 Reiner-Rivlin 流体假设对盘所需扭矩的影响。此外，还针对皮肤摩擦系数、努塞尔数和舍伍德数开发了线性和二次回归模型。