黏弹性纳米流体在垂直板上的自然对流与传热分析  

Natural convection and heat transfer of viscoelastic nanofluid on a vertical plate

作　　者：许晓勤[1] XU Xiao-qin(College of Automobile,Fujian Chuanzheng Communications College,Fuzhou 350007,China)

机构地区：[1]福建船政交通职业学院汽车学院,福州350007

出　　处：《计算力学学报》2024年第3期599-604,共6页Chinese Journal of Computational Mechanics

基　　金：福建省科技厅自然科学基金面上项目(2021J01110248);福建船政交通职业学院博士启动基金(X21206001)资助项目.

摘　　要：基于分数阶Maxwell模型和分数阶Fourier定律构建黏弹性纳米流体在垂直板上的非定常二维边界层自然对流与传热控制方程,利用有限差分和L1算法获得数值稳定解,对不同物理参数下的速度、温度、平均表面摩擦系数和平均Nusselt数的变化趋势进行图形化分析。结果显示,速度和温度边界层均表现出短暂记忆和延迟特性;速度分数导数参数削弱了自然对流,而速度松弛时间的影响却相反;温度分数导数参数削弱了自然对流和热传导,而温度松弛时间的影响却相反。Based on the fractional Maxwell model and fractional Fourier law,the governing equations of unsteady two-dimensional boundary layer natural convection and heat transfer of viscoelastic nanofluid on a vertical plate are constructed.Numerical results are obtained by using the finite difference method and L1algorithm.The trends of velocity,temperature,average skin friction coefficient and average Nusselt number under different physical parameters are graphically analyzed.Results show that both the velocity and temperature boundary layer exhibit a short-term memory and delay characteristics.The velocity’s fractional derivative parameter decelerates the natural convection,while the velocity relaxation time has the opposite effect.The temperature’s fractional derivative parameter weakens the natural convection and heat conduction,while the opposite influence is observed for the temperature relaxation time.

关 键 词：分数阶Maxwell模型 分数阶Fourier定律 黏弹性纳米流体 自然对流 垂直板 有限差分法 

分 类 号：O315.2[理学—一般力学与力学基础]