混合纳米流体在嵌入多孔介质中的垂直平板上自然对流传热的近似解析解  

Approximate Analytical Solution for Free Convection Heat Transfer of Hybrid Nanofluids on A Vertical Plate Embedded in A Porous Medium

作　　者：尤翔程[1] 崔继峰[2] YOU Xiangcheng;CUI Jifeng(College of Petroleum Engineering.China University of Petroleum-Beijing,Beijing 102249,China;College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]中国石油大学(北京)石油工程学院,北京102249 [2]内蒙古工业大学理学院,呼和浩特010051

出　　处：《内蒙古农业大学学报（自然科学版）》2022年第1期91-96,共6页Journal of Inner Mongolia Agricultural University(Natural Science Edition)

基　　金：国家自然科学基金项目(12002390,12062018);内蒙古自治区自然科学基金项目(2020MS01015);内蒙古自治区高等学校青年科技英才支持计划资助项目(NJYT22075)。

摘　　要：本文分析研究了混合纳米流体在嵌入饱和多孔介质中的垂直平板上的自然对流热传递。使用边界层理论和相似变换,将描述动量和能量守恒的控制方程简化为具有对流边界条件的耦合常微分方程组,然后应用同伦分析方法获得解析解,并且分析了混合纳米粒子对速度和温度分布以及简化的努塞尔数的影响。研究表明,同伦分析方法求解纳米流体的对流传热问题十分有效,通过求解近似解析解并对传热特性进行分析,能有效解决传热系统的设计、混合纳米流体的选取等问题,进而显著提高平板的传热速率。In this paper,the free convection of hybrid nanofluids on a vertical plate embedded in saturated porous media was studied.By using the boundary layer theory and similarity transformation,the governing equations describing the conservation of momentum and energy were simplified to the coupled ordinary differential equations with convective boundary conditions,and then the analytical solutions were obtained by using the Homotopy Analysis Method(HAM). Finally,the influences of hybrid nanoparticles on the velocity,temperature distribution,and reduced Nusselt number were analyzed. The results showed that the Homotopy Analysis Method was very effective to solve the convection heat transfer problem of the hybrid nanofluids. By solving the approximate analytical solution,and analyzing the heat transfer characteristics,the design of heat transfer system and the selection of hybrid nanofluids could be effectively solved,and the heat transfer rate of the flat plate could be significantly improved.

关 键 词：混合纳米流体 多孔介质 自然对流 同伦分析方法 

分 类 号：O29[理学—应用数学]