Present study concerns the heat transfer and fluid flow investigation of thermo-hydraulic characteristics of a nanofluid in a microchannel with super hydrophobic surfaces. In this regard, the walls of microchannel are kept in constant temperature. The incompressible version of lattice Boltzmann method with precondition factor (IPLBM) is employed to achieve a true prediction of friction factor and Nusselt number under the effect of ascending magnetic field. Simulations are performed for volume fraction of nanoparticles, Ha number (Ha) and dimensionless slip coefficient of respectively 0% to 2%, 0 to 40 and 0 to 0.1. Results show that volume fraction and Hartman numbers cause increase in Nu number and friction factor, whereas dimensionless slip coefficient has various effects on Nu number; unlike friction coefficient that causes it to reduce. The results indicated that with tuning the hydrophobicity level, one can yield a specific behavior in microchannel, so that upon using super hydrophobic surface having a dimensionless slip coefficient 0.1, at Ha number of 40 concerning a nanofluid that is of 2% volume fraction, the shear stress reduces to approximately 70%. Also, in this condition Nu number only reduces 1.7%. Numerical procedure has been validated by comparing with experimental results as well as analytical and numerical ones.

本研究涉及具有超疏水性表面的微通道中纳米流体的热工水力特性的传热和流体流动研究。在这方面，微通道的壁保持恒温。采用带前提因子的不可压缩形式的玻尔兹曼方法（IPLBM），可以在磁场增加的情况下真实预测摩擦因子和Nusselt数。对纳米粒子的体积分数，Ha数（Ha）和无量纲滑移系数分别为0％至2％，0至40和0至0.1进行模拟。结果表明，体积分数和哈特曼数引起Nu值和摩擦系数的增加，而无因次滑移系数对Nu值有多种影响。不像摩擦系数导致它降低。结果表明，通过调节疏水性水平，可以在微通道中产生特定的行为，因此，当使用无量纲滑移系数为0.1的超疏水表面时，当Ha值为40时，纳米流体的体积分数为2％。剪切应力降低到大约70％。同样，在这种情况下，Nu数仅减少1.7％。通过与实验结果以及分析和数值结果的比较，已经验证了数值程序。在这种情况下，Nu数量仅减少1.7％。通过与实验结果以及分析和数值结果的比较，已经验证了数值程序。在这种情况下，Nu数量仅减少1.7％。通过与实验结果以及分析和数值结果的比较，已经验证了数值程序。