Computational dynamics of unsteady flow of a variable viscosity reactive fluid in a porous pipe

被引:20
作者
Chinyoka, T. [1 ]
Makinde, O. D. [2 ]
机构
[1] Univ Cape Town, Ctr Res Computat & Appl Mech, ZA-7701 Rondebosch, South Africa
[2] Cape Peninsula Univ Technol, Fac Engn, ZA-7535 Bellville, South Africa
关键词
Unsteady flow; Porous pipe; Variable viscosity; Arrhenius reaction; Finite difference method; WALL SUCTION; VISCOUS-FLOW; CHANNEL;
D O I
10.1016/j.mechrescom.2010.02.007
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The coupled nonlinear equations in cylindrical Cartesian coordinates governing pressure-driven unsteady flow of a reactive variable viscosity fluid and heat transfer in a circular pipe whose walls are porous, are derived and solved numerically using a semi-implicit finite difference scheme under axisymmetric conditions. The boundary conditions along the centerline of the pipe are rebuilt via an assumption on the continuity of derivatives at each stage of the computation and results are validated against the results obtained using well documented boundary conditions for flow with no suction/injection. The chemical kinetics is assumed to follow Arrhenius rate law while the fluid viscosity is an exponentially decreasing function of temperature. Both numerical and graphical results are presented and discussed quantitatively with respect to various parameters embedded in the problem. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:347 / 353
页数:7
相关论文
共 50 条
[41]   Unsteady boundary layer flow and heat transfer past a porous stretching sheet in presence of variable viscosity and thermal diffusivity [J].
Mukhopadhyay, S. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (21-22) :5213-5217
[42]   Significance of unsteady rotating flow of nanofluid with nanoparticles aggregation and impacts of slip conditions and variable viscosity [J].
Khan, Umar ;
Rafique, Khadija ;
Mahmood, Zafar .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2025, 86 (10) :3233-3260
[43]   Unsteady free convection flow and heat transfer from an isothermal truncated cone with variable viscosity [J].
Srinivasa, A. H. ;
Eswara, A. T. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2013, 57 (01) :411-420
[44]   Effect of thermophoresis on particle deposition on an inclined plate in variable viscosity fluid flow within a porous medium [J].
Huang, J. S. ;
Hsu, H. H. .
CASE STUDIES IN THERMAL ENGINEERING, 2025, 67
[45]   Impact of variable viscosity on asymmetric fluid flow through the expanding/contracting porous channel: A thermal analysis [J].
Jalili, Bahram ;
Azar, Ali Ahmadi ;
Jalili, Payam ;
Ganji, Davood Domiri .
CASE STUDIES IN THERMAL ENGINEERING, 2023, 52
[46]   Influence of heat carry on magnetohydrodynamics oscillatory flow for variable viscosity Carreau fluid through a porous medium [J].
Al-Khafajy, Dheia G. Salih ;
Lelo, Ali Karim ;
Shallal, Emad Allawi .
JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2021, 24 (03) :519-535
[47]   Unsteady MHD reactive flow of second grade fluid through porous medium in a rotating parallel plate channel [J].
VeeraKrishna, M. ;
Reddy, G. Subba .
JOURNAL OF ANALYSIS, 2019, 27 (01) :103-120
[48]   The stability of the nanofluid flow in an inclined porous channel with variable viscosity [J].
Humnekar, Nidhi ;
Darbhasayanam, Srinivasacharya .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2024, 85 (24) :4168-4181
[49]   Numerical investigation of entropy generation in an unsteady flow through a porous pipe with suction [J].
Makinde, Oluwole Daniel ;
Chinyoka, Tirivanhu ;
Eegunjobi, Adetayo S. .
INTERNATIONAL JOURNAL OF EXERGY, 2013, 12 (03) :279-297
[50]   Modelling the Effect of Variable Viscosity on Unsteady Couette Flow of Nanofluids with Convective Cooling [J].
Ali, A. O. ;
Makinde, O. D. .
JOURNAL OF APPLIED FLUID MECHANICS, 2015, 8 (04) :793-802