Electroviscous Effect of Water-Base Nanofluid Flow between Two Parallel Disks with Suction/Injection Effect

Mathematics

Said Anwar Shah¹  Aamir Khan²  Samad Noeiaghdam³  Unai Fernandez-Gamiz⁴  Shabnam⁵  Sun Mei⁵  Muhammad Sohail Khan⁵ 

[1] Department of Basic Sciences and Islamiat, University of Engineering and Technology Peshawar, Peshawar 25000, Pakistan;Department of Pure and Applied Mathematics, University of Haripur, Haripur 22620, Pakistan;Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, 664074 Irkutsk, Russia;Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain;School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, China;

关键词: nanofluid;    electro-viscous fluid;    Lorentz force;    parametric continuation method and BVP4C;   

DOI  :  10.3390/math10060956

来源: DOAJ

【 摘 要 】

This article, investigates the behaviour of an ionized nanoliquid motion regarding heat transmission between two parallel discs. In the proposed model, the squeezing flow of Cu-water nanofluid with electrical potential force is analysed for studying the flow properties and an uniform magnetic field is applied to that fluid, by taking the surface of the bottom disc porous. We have also studied the effects of different nanomaterials on the transmission of heat through nanofluids. Furthermore, the influence of various physical parameters in the proposed model of nanofluids flow like volume fraction of nanomaterials, squeezing number, Hartmann number, Eckert number, and Prandtl number are analysed and discussed quantitatively through various tables and graphs. The system of nonlinear partial differential equations (PDE’s) has been used to formulate the proposed flow model and later converted to a set of nonlinear ODE’s by mean similarity transformation. Further, the reduced form of ODEs has been solved by Parametric Continuation Method (PCM), which is a stable numerical scheme. The outcomes obtained from the proposed model could also be used to analyse nanofluid flow in several fields, such as polymer processing, power transfer and hydraulic lifts.

【 授权许可】

Unknown