Here we analyze the Marangoni convective magnetohydrodynamic flow of second grade liquid. Heat transportation is discussed through Joule heating and viscous dissipation. Characteristics of thermo-diffusion and diffusion-thermo are also considered. Gibbs–Marangoni effect is the solutal transfer along the boundary between liquids as a result of gradient of surface tension. Furthermore Benard–Marangoni convection is the temperature dependence phenomenon. Irreversibility communication is developed through thermodynamic second law. Characteristics of entropy optimization with chemical reaction are discussed. Nonlinear system is converted to ordinary system. Optimal Homotopy analysis method (OHAM) is employed to get convergent solutions. Variation of different sundry variables on velocity field, concentration, entropy rate, Bejan number, and temperature are scrutinized. Larger Marangoni ratio variable boosted the velocity field. Velocity field is reduced for higher magnetic variable. An augmentation occurs in temperature versus Dufour number. Temperature distribution boosted against magnetic and fluid variables. Concentration gets reduced versus larger Soret number. Higher Marangoni ratio variable decays the concentration. Larger approximation of magnetic variable enhances entropy rate. Bejan number and entropy rate have opposite trend for fluid variable. Entropy rate boosted via higher Brinkman number.

中文翻译：

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具有不可逆性分析和化学反应的二级流体的 Marangoni 强制对流流动

在这里，我们分析了二级液体的 Marangoni 对流磁流体动力流动。通过焦耳热和粘性耗散讨论热传递。还考虑了热扩散和扩散热的特性。Gibbs-Marangoni 效应是由于表面张力梯度导致的沿液体边界的溶质转移。此外，Benard-Marangoni 对流是温度依赖性现象。不可逆通信是通过热力学第二定律发展起来的。讨论了化学反应熵优化的特点。非线性系统转换为普通系统。最优同伦分析法（OHAM）被用来得到收敛解。不同杂项变量在速度场、浓度、熵率、贝扬数、和温度被仔细检查。较大的 Marangoni 比率变量提高了速度场。对于更高的磁变量，速度场会降低。温度与杜福尔数的关系会增加。针对磁性和流体变量增强了温度分布。与较大的 Soret 数相比，浓度会降低。较高的 Marangoni 比率变量会衰减浓度。磁变量的较大近似提高熵率。Bejan 数和熵率对于流体变量有相反的趋势。通过更高的 Brinkman 数提高了熵率。与较大的 Soret 数相比，浓度会降低。较高的 Marangoni 比率变量会衰减浓度。磁变量的较大近似提高熵率。Bejan 数和熵率对于流体变量有相反的趋势。通过更高的 Brinkman 数提高了熵率。与较大的 Soret 数相比，浓度会降低。较高的 Marangoni 比率变量会衰减浓度。磁变量的较大近似提高熵率。Bejan 数和熵率对于流体变量有相反的趋势。通过更高的 Brinkman 数提高了熵率。