摘要
本文采用FENE-P模型,研究纳米颗粒和微生物对聚合物通过水平伸缩薄片的流动和传热的影响以及对阻力系数、Nusselt数,Sherwood数和运动密度数的潜在影响。利用适当的相似性变换,将控制非牛顿聚合物流体流动的非线性偏微分方程组简化为恰当的相似形式。利用基于有限差分格式的MATLAB code bvp4c和修正的边界条件对修正的常微分方程组进行数值求解。以表格形式列出了工业中这些流动参数是如何影响流体物理性能的,并详细分析了相关物理参数对速度、温度、浓度和微生物分布的影响。结果表明,聚合物添加剂降低了阻力系数和Nusselt数。Sherwood数和运动密度数也受到聚合物添加剂的明显影响。
This paper investigates the influence of polymers on the flow and heat transfer of nanoparticles and microorganisms past a horizontal stretching sheet.The fundamental motivation for this paper is the potential effects of polymers on drag coefficient,Nusselt,Sherwood,and motile density numbers control.Dispersion was chosen to investigate the behavior of polymer additives using FENE-P model.The nonlinear system of partial differential equations governing non-Newtonian polymeric fluid flow is reduced to a correct similar form using an appropriate similarity transformation.The modified nonlinear system of ordinary differential equations is numerically solved using MATLAB code bvp4c based on finite difference scheme,together with modified boundary conditions.Tabular results are presented to investigate how various flow parameters affect physical quantities of industrial importance.The impact of the physical parameters involved on velocity,temperature,concentration,and microorganism profiles was analyzed in detail.Polymeric additives are responsible for reducing the drag coefficient and Nusselt number.In addition,it is noted that Sherwood and motile density numbers are significantly influenced by polymer additives.
基金
Project(IFP-A-2022-2-5-24) supported by Ministry of Education and University of Hafr Al Batin, Saudi Arabia
Project supported by University of Campania “Luigi Vanvitelli”, Italy
Project supported by COMSATS University Islamabad, Pakistan。