A significance of Marangoni-driven convective magnetohydrodynamics (MHD) was investigated in a planned study. The present study examines the impact of radiation and chemical reactions on the two dimensional boundary layer flow of bi-viscous Bingham fluid on a thermosolutal Marangoni boundary with magnetic field and heat source/sink. The physical flow problem is mathematically modelled into Navier–Stokes equations. These nonlinear partial differential equations are then mapped into a set of nonlinear ordinary differential equations using similarity transformation. The elegant analytical method is used to obtain analytic approximations for the resulting system of nonlinear differential equations. The analytical solution for the temperature and concentration profiles is expressed in terms of Kummer's confluent hypergeometric function. The features of flow characteristics such as velocity, temperature, and concentration profiles in response to the variations of the emerging parameters are simulated and examined with a physical explanation through graphs. Surface tension is considered to be corresponding to heat and mass. The results reveal that the velocity profile decreases with increasing the magnetic field, while the Marangoni number value increases with increasing the velocity profile. Moreover, the temperature profile rises with rising the radiation parameter and whereas the value chemical reaction parameter upsurges with decline concentration profile. The present problem has great interest due to its applications in industrial applications such as drying of silicon wafers, thin layers of paint, glues, in heat exchangers, crystal growth in space, biological fluids, blood, synovial liquids, plasma, lubricants, many pharmaceutical products, proteins, sewage sludge, china clay, and many more.

中文翻译：

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MHD 和辐射对化学反应热源/汇 Marangoni 边界上双粘性 Bingham 流体流动的影响


在一项计划的研究中调查了马兰戈尼驱动的对流磁流体动力学（MHD）的重要性。本研究研究了辐射和化学反应对具有磁场和热源/汇的热溶质马兰戈尼边界上双粘性宾汉流体的二维边界层流动的影响。物理流问题被数学建模为纳维-斯托克斯方程。然后使用相似变换将这些非线性偏微分方程映射为一组非线性常微分方程。优雅的解析方法用于获得所得非线性微分方程组的解析近似值。温度和浓度分布的解析解用 Kummer 合流超几何函数表示。通过图形的物理解释来模拟和检查响应新兴参数变化的速度、温度和浓度分布等流动特性的特征。表面张力被认为与热和质量相对应。结果表明，速度剖面随着磁场的增加而减小，而马兰戈尼数值随着速度剖面的增加而增加。此外，温度分布随着辐射参数的升高而升高，而化学反应参数的值随着浓度分布的下降而升高。 当前的问题由于其在工业应用中的应用而引起了极大的兴趣，例如硅片的干燥、薄层油漆、胶水、热交换器、太空中的晶体生长、生物体液、血液、滑液、血浆、润滑剂、许多药物产品、蛋白质、污水污泥、瓷土等等。