Investigation of variable thermo-physical properties of viscoelastic rheology: A Galerkin finite element approach

Investigation of variable thermo-physical properties of viscoelastic rheology: A Galerkin finite element approach

Galerkin finite element (GFEM) algorithm is implemented to investigate the variable viscosity, variable thermal conductivity and variable mass diffusion coefficient on viscoelasticity and non-Newtonian rheology of Maxwell fluid. Computer code is developed for weak form of FEM equations and validated...

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Main Authors: Imran Haider Qureshi, M. Nawaz, Shafia Rana, Umar Nazir, Ali J. Chamkha
Format: Article
Language:English
Published: AIP Publishing LLC 2018-07-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5032171
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spelling doaj-d8179f57c22b4f0b989d264e856acee82020-11-24T22:10:03ZengAIP Publishing LLCAIP Advances2158-32262018-07-0187075027075027-1610.1063/1.5032171031807ADVInvestigation of variable thermo-physical properties of viscoelastic rheology: A Galerkin finite element approachImran Haider Qureshi0M. Nawaz1Shafia Rana2Umar Nazir3Ali J. Chamkha4Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, PakistanDepartment of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, PakistanDepartment of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, PakistanDepartment of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad 44000, PakistanMechanical Engineering Department, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi ArabiaGalerkin finite element (GFEM) algorithm is implemented to investigate the variable viscosity, variable thermal conductivity and variable mass diffusion coefficient on viscoelasticity and non-Newtonian rheology of Maxwell fluid. Computer code is developed for weak form of FEM equations and validated with already published benchmark (a special case of present work). Theoretical results for velocities, temperature and concentration are displayed to analyze the effects of arising parameters including variable Prandtl number and variable Schmidt number. Shear stresses (only for Newtonian case) heat and mass fluxes at the elastic surface are computed and recorded in tabular form.http://dx.doi.org/10.1063/1.5032171
collection DOAJ
language English
format Article
sources DOAJ
author Imran Haider Qureshi
M. Nawaz
Shafia Rana
Umar Nazir
Ali J. Chamkha
spellingShingle Imran Haider Qureshi
M. Nawaz
Shafia Rana
Umar Nazir
Ali J. Chamkha
Investigation of variable thermo-physical properties of viscoelastic rheology: A Galerkin finite element approach
AIP Advances
author_facet Imran Haider Qureshi
M. Nawaz
Shafia Rana
Umar Nazir
Ali J. Chamkha
author_sort Imran Haider Qureshi
title Investigation of variable thermo-physical properties of viscoelastic rheology: A Galerkin finite element approach
title_short Investigation of variable thermo-physical properties of viscoelastic rheology: A Galerkin finite element approach
title_full Investigation of variable thermo-physical properties of viscoelastic rheology: A Galerkin finite element approach
title_fullStr Investigation of variable thermo-physical properties of viscoelastic rheology: A Galerkin finite element approach
title_full_unstemmed Investigation of variable thermo-physical properties of viscoelastic rheology: A Galerkin finite element approach
title_sort investigation of variable thermo-physical properties of viscoelastic rheology: a galerkin finite element approach
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2018-07-01
description Galerkin finite element (GFEM) algorithm is implemented to investigate the variable viscosity, variable thermal conductivity and variable mass diffusion coefficient on viscoelasticity and non-Newtonian rheology of Maxwell fluid. Computer code is developed for weak form of FEM equations and validated with already published benchmark (a special case of present work). Theoretical results for velocities, temperature and concentration are displayed to analyze the effects of arising parameters including variable Prandtl number and variable Schmidt number. Shear stresses (only for Newtonian case) heat and mass fluxes at the elastic surface are computed and recorded in tabular form.
url http://dx.doi.org/10.1063/1.5032171
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AT mnawaz investigationofvariablethermophysicalpropertiesofviscoelasticrheologyagalerkinfiniteelementapproach
AT shafiarana investigationofvariablethermophysicalpropertiesofviscoelasticrheologyagalerkinfiniteelementapproach
AT umarnazir investigationofvariablethermophysicalpropertiesofviscoelasticrheologyagalerkinfiniteelementapproach
AT alijchamkha investigationofvariablethermophysicalpropertiesofviscoelasticrheologyagalerkinfiniteelementapproach
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