Nanofluid Flows Within Porous Enclosures Using Non-Linear Boussinesq Approximation  

作　　者：Sameh E.Ahmed Dalal Alrowaili Ehab Mahmoud Mohamed Abdelraheem M.Aly 

机构地区：[1]Department of Mathematics,College of Science,King Khalid University,Abha,62529,Saudi Arabia [2]Department of Mathematics,South Valley University,Qena,83523,Egypt [3]Mathematics Department,College of Science,Jouf University,Sakaka,Saudi Arabia [4]Electrical Engineering Department,College of Engineering,Prince Sattam Bin Abdulaziz University,Wadi Addwasir,11991,Saudi Arabia [5]Electrical Engineering Department,Aswan University,Aswan,81542,Egypt

出　　处：《Computers, Materials & Continua》2021年第3期3195-3213,共19页计算机、材料和连续体（英文）

基　　金：the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant Number(R.G.P2/72/41).

摘　　要：In this paper,the Galerkin finite element method(FEM)together with the characteristic-based split(CBS)scheme are applied to study the case of the non-linear Boussinesq approximation within sinusoidal heating inclined enclosures filled with a non-Darcy porous media and nanofluids.The enclosure has an inclination angle and its side-walls have varying sinusoidal temperature distributions.The working fluid is a nanofluid that is consisting of water as a based nanofluid and Al2O3 as nanoparticles.The porous medium is modeled using the Brinkman Forchheimer extended Darcy model.The obtained results are analyzed over wide ranges of the non-linear Boussinesq parameter 0≤ζ≤1,the phase deviation 00≤Φ≤1800,the inclination angle 00≤γ≤900,the nanoparticles volume fraction 0%≤φ≤4%,the amplitude ratio 0≤a≤1 and the Rayleigh number 104≤Ra≤106.The results revealed that the average Nusselt number is enhanced by 0.73%,26.46%and 35.42%at Ra=104,105 and 106,respectively,when the non-linearBoussinesq parameter is varied from 0 to 1.In addition,rate of heat transfer in the case of a non-uniformly heating is higher than that of a uniformly heating.Non-linear Boussinesq parameter rises the flow speed and heat transfer in an enclosure.Phase deviation makes clear changes on the isotherms and heat transfer rate on the right wall of an enclosure.An inclination angle varies the flow speed and it has a slight effect on heat transfer in an enclosure.

关 键 词：CBS scheme non-linear Boussinesq approximation nonuniformly heating non-darcy flow NANOFLUID 

分 类 号：O17[理学—数学]