分数阶Maxwell纳米流体二阶滑移流动与热传递分析-《福建工程学院学报》

文章信息/Info

Title:: Boundary slip flow and heat transfer analysis ofa fractional Maxwell nanofluid

Author(s):: XU Xiaoqin1; CHEN Shumei; School of Automobiles, Fujian Chuanzheng Communications College

Keywords:: secondorder slip boundaries; fractional Maxwell nanofluid; flow and heat transfer; porous medium; vertical stretching sheet

摘要:: 在考虑二阶滑移边界的影响下,对多孔介质中垂直拉伸板引起的分数阶Maxwell纳米流体流动与热传递特性开展分析研究。利用分数阶剪切应力和分数阶Cattaneo热通量模型构建二维边界层控制方程,采用有限差分和L1算法进行数值求解。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。研究结果表明,牛顿流体的流动性能和热传递优于粘弹性流体;速度分数阶导数参数和温度松弛时间会恶化对流和热传递,而温度分数阶导数参数和速度松弛时间则促进对流和热传递;滑移参数降低了流体初始速度,一阶滑移参数对流动和热传递的影响大于二阶滑移参数;流动和热传递对各物理参数的敏感度随该物理参数的增大而下降。

Abstract:: The flow and heat transfer characteristics of a fractional Maxwell nanofluid induced by a vertical stretching plate embedded in a porous medium was analyzed, taking secondorder slip boundary conditions into account. The fractional shear stress and fractional Cattaneo heat flux model were used to construct the twodimensional boundary layer governing equations. Then the finite difference and L1 algorithm were adopted for numerical solution. Analysis of the variation trends of velocity, temperature, average skin friction coefficient, and average Nusselt number under different physical parameters was carried out graphically. Results show that the flow performance and heat transfer of Newtonian fluid are better than those of viscoelastic fluid; the velocity fractional derivative parameter and temperature relaxation time worsen convection and heat transfer, while the temperature fractional derivative parameter and velocity relaxation time promote convection and heat transfer; the slip parameters reduce the initial velocity of the fluid, and the firstorder slip parameter has a greater impact on flow and heat transfer than the secondorder slip parameter; the sensitivity of flow and heat transfer to each physical parameter reduces as the physical parameter increases.