Thermohydromagnetic performances of alumina–water nanofluid in a trapezoidal vessel that considered the inclined magnetic field were investigated numerically. The bottom wall of the enclosure is heated uniformly, whereas the upper wall is adiabatic. The remaining walls are kept cold. The mathematical problem was tackled through the Galerkin finite element method. The simulated results were verified with the experimental ones. The flow and thermal fields, and local and average Nusselt numbers for the pertinent parameters were investigated. The results showed that the heat transfer rate increased by 3.6% for the addition of 5% nanoparticle volumetric fraction within the base fluid. The heat transfer rate increased by 101% for the increment in Rayleigh number from ${10}^3$ to ${10}^5$. The heat transfer rate dwindled by 18% for the increase of Hartmann numbers’ intensity of 0–20.

数值研究了考虑倾斜磁场的梯形容器中氧化铝-水纳米流体的热水磁性能。外壳的底壁受热均匀，而上壁是绝热的。其余的墙壁保持冷态。数学问题是通过伽辽金有限元方法解决的。仿真结果与实验结果相验证。研究了流场和热场，以及相关参数的局部和平均努塞尔数。结果表明，在基液中加入5%的纳米颗粒体积分数，传热率提高了3.6%。随着瑞利数的增加，传热率增加了 101%${10}^3$ 至 ${10}^5$. 随着哈特曼数的强度增加 0-20，传热率下降了 18%。