基于广义对偶参数同伦模糊扩展算法的MHD Jeffrey-Hamel纳米流体流动数值研究
Numerical investigation on MHD Jeffery-Hamel nanofluid flow with different nanoparticles using fuzzy extension of generalized dual parametric homotopy algorithm
LALCHAND Verma 1RAMAKANTA Meher1
作者信息
- 1. Department of Mathematics,Sardar Vallabhbhai National Institute of Technology,Surat-395007,Gujrat,India
- 折叠
摘要
利用广义对偶参数同伦算法的模糊推广,研究了含铜、Al2O3、SiO2等不同纳米颗粒的MHD Jeffrey-Hamel纳米流体在刚性非平行平面壁上的流动.制备的纳米流体具有较高的热物理特性,包括热扩散系数、导热系数、对流换热系数和黏度.由于不同纳米流体的存在,会发生体积分数值的变化,从而影响流体的速度分布.纳米颗粒体积分数的短值被认为是一个不确定参数,用三角形模糊数范围[0,0.1,0.2]表示.本文提出了一种具有模糊扩展的广义对偶参数同伦算法,用于研究不同信道位置的模糊速度.最后,通过与案例中已有结果的比较,证明了所提方法的有效性.
Abstract
This study considers an MHD Jeffery-Hamel nanofluid flow with distinct nanoparticles such as copper,Al2O3 and SiO2 between two rigid non-parallel plane walls with the fuzzy extension of the generalized dual parametric homotopy algorithm.The nanofluids have been formulated to enhance the thermophysical characteristics of fluids,including thermal diffusivity,conductivity,convective heat transfer coefficients and viscosity.Due to the presence of distinct nanofluids,a change in the value of volume fraction occurs that influences the velocity profiles of the flow.The short value of nanoparticles volume fraction is considered an uncertain parameter and represented in a triangular fuzzy number range among[0.0,0.1,0.2].A novel generalized dual parametric homotopy algorithm with fuzzy extension is used here to study the fuzzy velocities at various channel positions.Finally,the effectiveness of the proposed approach has been demonstrated through a comparison with the available results in the crisp case.
关键词
模糊数/Jeffrey-Hamel/纳米流体/同伦分析方法Key words
fuzzy number/Jeffery-Hamel(J-H)flow/nanofluid/homotopy analysis method引用本文复制引用
出版年
2024