In the present paper, the effect of double diffusion natural convection fluid flow inside the double wavy enclosure using the mesh-free method is investigated. The enclosure is filled with nanofluid whose base fluid is non-Newtonian. The results are obtained for the variation in Brownian motion parameter ($0.2–0.8$), buoyancy ratio parameter ($0.2–1$), power-law index ($0.2–1$), thermophoresis parameter ($0.2–0.8$), Rayleigh number (${10}^3–{10}^5$), and Lewis number ($1–5$) on mass and heat transfer. It is explored that the mass and heat transfer rate increases with increase in the Rayleigh number and buoyancy ratio. Heat transfer rate decreases with increase in the thermophoresis parameter, Lewis number, Brownian motion, and power-law index, whereas mass transfer rate increases. Such type of enclosure has direct application in heat exchanger devices, the double-wall thermal insulation system, and microelectronic devices. Parallel implementation with the hybrid [EFGM (element free Galerkin method)/FEM (finite element method)] method has been used for the reduction of the running cost to ensure efficiency, which is the novel contribution of the author.

中文翻译：

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双波腔内幂律纳米流体双扩散自然对流数值模拟

在本文中，使用无网格方法研究了双波箱内双扩散自然对流流体流动的影响。外壳充满纳米流体，其基础流体是非牛顿流体。结果是针对布朗运动参数的变化获得的（$0.2——0.8$), 浮力比参数 ($0.2——1$), 幂律指数 ($0.2——1$), 热泳参数 ($0.2——0.8$), 瑞利数 (${10}^3——{10}^5$) 和刘易斯数 ($1——5$) 传质和传热。探索了传质和传热速率随着瑞利数和浮力比的增加而增加。传热速率随着热泳参数、路易斯数、布朗运动和幂律指数的增加而降低，而传质速率增加。这种类型的外壳直接应用于换热器设备、双壁绝热系统和微电子设备。使用混合[EFGM（无元素伽辽金法）/FEM（有限元法）]方法并行实现，降低运行成本以保证效率，这是作者的新贡献。