The objective of this study is to illustrate the influence of Marangoni convection, nonlinear heat sink/source, thermal radiation, viscous dissipation, activation energy, Soret and Dufour effects on magnetohydrodynamics flow of nanofluid generated by rotating disk. Further, the entropy generation equation is derived as a function of velocity, concentration, and thermal gradients. The governing equations of the model along with associated boundary constraints are reduced to ordinary differential equations by adopting suitable similarity transformation. Later, these equations are tackled numerically by means of shooting technique. The whole examination is performed by using two distinctive nanoparticles of ferrites in particular, manganese zinc ferrite (MnZnFe₂O₄) and nickel zinc ferrite (NiZnFe₂O₄) in a carrier liquid (C10H22). The physical characteristics of velocity, thermal, concentration entropy generation, skin friction, and Nusselt number against numerous pertinent parameters are discussed in detail and deliberated graphically. Result reveals that thermal gradient shows substantial enhancement for advanced values of heat sink/source parameter. The entropy production increases with an augmentation in the Brinkman number and Marangoni ratio values. The escalation in Marangoni ratio and Dufour number improves the rate of heat transference.

中文翻译：

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热扩散和扩散热对具有非线性热源/汇和辐射热通量的混合纳米流体 (MnZiFe2O4–NiZnFe2O4–H2O) 的 Marangoni 对流的物理影响

本研究的目的是说明 Marangoni 对流、非线性散热器/源、热辐射、粘性耗散、活化能、Soret 和 Dufour 效应对旋转盘产生的纳米流体的磁流体动力学流动的影响。此外，熵生成方程是作为速度、浓度和热梯度的函数导出的。通过采用适当的相似变换，模型的控制方程以及相关的边界约束被简化为常微分方程。后来，这些方程通过射击技术进行了数值处理。整个检查是通过使用两种独特的铁氧体纳米颗粒进行的，特别是锰锌铁氧体（MnZnFe ₂ O ₄) 和镍锌铁氧体 (NiZnFe ₂ O ₄ ) 在载液中(C10H22). 详细讨论了速度、热、浓度熵生成、皮肤摩擦和努塞尔数与众多相关参数的物理特性，并以图形方式进行了讨论。结果表明，对于散热器/源参数的高级值，热梯度显示出显着增强。熵产生随着 Brinkman 数和 Marangoni 比率值的增加而增加。Marangoni 比率和 Dufour 数的增加提高了传热率。