A numerical study for the impacts of a magnetic field on double-diffusion within a nanofluid cavity with a wavy hot source is conducted using incompressible scheme of smoothed particle hydrodynamics (ISPH) method. The numerical ISPH method utilizes projection method to solve the governing differential equations. The ranges of physical parameters are Rayleigh number $\left({10}^3\le Ra\le {10}^6\right)$, wave amplitude $\left(2.5\le A\le 20\right)$, undulation number $\left(1\le n\le 10\right)$, nanoparticles parameter $\left(0\le \varphi \le 0.1\right)$ and Hartman parameter $\left(0\le Ha\le 100\right)$. The performed simulations showed that an increase in the wave amplitude enhances heat and mass transfer and powers the flow speed in a cavity. Adding more concentration of copper into host fluid reduces the stream function maximum. An increase in Hartman parameter reduces the double-diffusion and the maximum of stream function as well. Average Nusselt and Sherwood numbers are reduced as Hartman parameter increases. Larger Rayleigh number is extensively augmented the heat transfer and flow speed in a cavity.

使用光滑粒子流体动力学（ISPH）方法的不可压缩方案，对具有波浪热源的纳米流体腔内磁场对双扩散的影响进行了数值研究。ISPH数值方法利用投影法求解控制微分方程。物理参数的范围是瑞利数$\left({10}^3\le \mathrm{[R}\mathrm{一种}\le {10}^6\right)$，波幅 $\left(2.5\le \mathrm{一种}\le 20\right)$，起伏数 $\left(\mathrm{1个}\le ñ\le 10\right)$，纳米粒子参数 $\left(0\le \varphi \le 0.1\right)$ 和Hartman参数 $\left(0\le H\mathrm{一种}\le 100\right)$。进行的仿真显示，波幅的增加会增强热量和质量的传递，并为腔体内的流速提供动力。在母液中添加更多浓度的铜会降低流功能的最大值。Hartman参数的增加也减少了双扩散和流函数的最大值。随着Hartman参数的增加，平均Nusselt和Sherwood数会减少。更大的瑞利数极大地增加了空腔中的热传递和流速。