The present paper examines steady natural convection of Buongiorno’s model nanofluid flow in a square cavity with enhanced mass flux boundary condition numerically. The impact of magnetic field, Brownian motion, radiation and thermophoresis is also considered in this analysis. The governing equations are represented in terms of stream function, temperature and concentration which are solved by utilizing finite difference method of second-order accuracy. The results are presented in the form of streamlines, temperature lines, concentration lines, local Nusselt number and Sherwood number for various values of influenced parameters, such as, Rayleigh number \( \left( {100 \le {\text{Ra}} \le 10^{3} } \right) \), Magnetic parameter \( \left( {0.1 \le {\text{M}} \le 0.5} \right) \), Buoyancy ratio parameter \( \left( {0.1 \le {\text{Nr}} \le 1.0} \right) \), Radiation number \( \left( {0.1 \le {\text{R}} \le 1.0} \right) \), Brownian motion number \( \left( {0.1 \le {\text{Nb}} \le 0.7} \right) \), Thermophoresis number \( \left( {0.1 \le {\text{Nt}} \le 1.0} \right) \) and Lewis number \( \left( {10 \le {\text{Le}} \le 20} \right) \) are represented through graphs. The outcomes indicate that noticeable intensification in rate of heat transfer is perceived after suspending nanoparticles. Furthermore, increasing the values of both thermophoresis and Brownian motion parameters augments the values of Nusselt number inside the cavity.

本文在质量通量边界条件得到增强的情况下，研究了Buongiorno模型纳米流体在方腔内的稳态自然对流。在此分析中还考虑了磁场，布朗运动，辐射和热泳的影响。控制方程用流函数，温度和浓度表示，通过利用二阶精度的有限差分法求解。结果以流线，温度线，浓度线，局部Nusselt数和Sherwood数的形式表示，包括各种影响参数，例如，瑞利数\（\ left（{100 \ le {\ text {Ra}} \ le 10 ^ {3}} \ right）\），磁参数\（\ left（{0.1 \ le {\ text {M}} \ le 0.5} \ right）\），浮力比参数\（\ left（{0.1 \ le {\ text {Nr}} \ le 1.0} \ right）\），辐射数\（\ left（{0.1 \ le {\ text {R}} \ le 1.0} \ right）\），布朗运动数\（\ left（{0.1 \ le {\ text {Nb}} \ le 0.7} \ right）\），电泳数\（\ left（{0.1 \ le {\文本{Nt}} \ le 1.0} \ right）\）和刘易斯数\（\ left（{10 \ le {\ text {Le}} \ le 20} \ right）\）通过图形表示。结果表明，悬浮纳米颗粒后，传热速率明显增强。此外，增加热泳和布朗运动参数的值会增加腔体内的Nusselt值。