含趋旋微生物纳米流体在拉伸缸表面上的边界层流动分析

Boundary layer flow on a stretching cylinder in a nanofluid containing gyrotactic microorganisms

考虑趋旋微生物的影响,研究纳米流体在拉伸缸表面上的稳态二维边界层流动问题.建立控制方程,采用打靶法和Runge-Kutta法进行数值求解,对不同物理参数下的速度场、温度场、浓度场和运动微生物密度场的变化趋势进行图形化分析.结果表明,在靠近缸体表面处,速度、温度、体积分数和微生物密度均随着曲率参数的增大而减小,而在远离缸体表面时变化情况却相反;微生物密度随着Brown运动参数、Peclet数、Schmidt数和生物对流常数的增大而减小,而随着热泳参数的增大而增大.

Considering the effect of gyrotactic microorganisms,the steady two-dimensional boundary layer flow of nanofluid on a stretching cylinder is explored in this paper.The governing equations are established and solved by the shooting and Runge-Kutta methods.The effects of different physical parameters on the dimensionless velocity,temperature,nanoparticle concentration and density of motile microorganisms are investigated and presented graphically.The results show that the velocity,temperature,nanoparticle concentration and density of motile microorganisms decay via larger curvature parameter near the cylinder,while the opposite trend is observed as one moves away from the surfac e of cylinder.It is also noticed that the density of microorganisms is a decreasing function of Brown motion parameter,Peclet number,Schmidt number and bioconvection constant,but is incremented when thermophoresis parameter is increased.