Abstract The present work attempts to show the accuracy of lattice Boltzmann method (LBM) to study a liquid flow with volumetric forces of electroosmotic and pressure gradient over hydrophobic surfaces. Navier boundary condition, slip velocity and temperature jump are taken into account. The flow has temperature-dependent physical properties and assumed to be laminar, steady and viscous. Joule heating effects and velocity distribution within channel are studied and verified by comparing the numerically computed slip length with the coefficient of velocity derivative at the wall. The results show that unlike no-slip condition, velocity and temperature magnitude in the middle and near wall region have approximately the same significant growth. Slip amplifies the effect of fluid properties changes on the wall heat transfer rate; because it increases the temperature derivative at the channel wall.

中文翻译：

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应用格子 Boltzmann 方法模拟具有疏水热跳壁和温度敏感工作液的压力影响电渗泵

摘要 目前的工作试图证明格子玻尔兹曼方法 (LBM) 在研究疏水表面上具有电渗和压力梯度体积力的液体流动时的准确性。考虑了纳维边界条件、滑移速度和温度跳跃。流动具有与温度相关的物理特性，并假定为层流、稳定和粘性。通过将数值计算的滑移长度与壁面速度导数系数进行比较，研究和验证了通道内的焦耳热效应和速度分布。结果表明，与无滑移条件不同，中壁和近壁区域的速度和温度幅度具有大致相同的显着增长。滑移放大了流体特性变化对壁面传热率的影响；