Numerical investigation of thermally stratified Williamson fluid flow over a cylindrical surface via Keller box method

被引:48
作者
Bilal, S. [1 ]
Rehman, Khalil Ur [1 ]
Malik, M. Y. [1 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
关键词
Keller box method; Williamson fluid; Stratified medium; Heat transfer; Cylindrical stretching surface; BOUNDARY-LAYER-FLOW; NATURAL-CONVECTION FLOW; STRETCHING SHEET; VERTICAL SURFACE; HEAT-TRANSFER; PLATE; NANOFLUID;
D O I
10.1016/j.rinp.2017.01.032
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Present study is addressed to express the implementation of Keller-Box technique on physical problem in the field of fluid rheology, for this purpose the Williamson fluid flow is considered along a cylindrical stretching surface manifested with temperature stratification. The flow model is translated mathematically in terms of differential equations. Numerical simulation is executed to trace out the solution structure of developed differential system. The graphical outcomes for the flow regime of two different geometries (i-e cylindrical and plane surface) are reported and examined towards involved physical parameters. Furthermore, the local skin friction coefficient and local Nusselt number are computed numerically. A remarkable agreement of present study is noticed with the previously published results, which confirms the implementation and validation of Keller-Box scheme and it will serve as a helping source for the future correspondence. (C) 2017 The Authors. Published by Elsevier B. V. This is an open access article under the CC BY license.
引用
收藏
页码:690 / 696
页数:7
相关论文
共 20 条
[1]  
Aurangzaib, 2012, INT J ADV ENG SCI AP, V4, P217, DOI 10.1007/s12572-012-0066-y
[2]   Effects of temperature dependent conductivity and absorptive/generative heat transfer on MHD three dimensional flow of Williamson fluid due to bidirectional non-linear stretching surface [J].
Bilal, S. ;
Khalil-ur-Rehman ;
Malik, M. Y. ;
Hussain, Arif ;
Khan, Mair .
RESULTS IN PHYSICS, 2017, 7 :204-212
[3]   NATURAL-CONVECTION FROM A VERTICAL SURFACE TO A THERMALLY STRATIFIED FLUID [J].
CHEN, CC ;
EICHHORN, R .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1976, 98 (03) :446-451
[4]   Non-Darcy free convection in a thermally stratified porous medium along a vertical plate with variable heat flux [J].
Hung, CI ;
Chen, CB .
HEAT AND MASS TRANSFER, 1997, 33 (1-2) :101-107
[5]   The effect of double stratification on boundary-layer flow and heat transfer of nanofluid over a vertical plate [J].
Ibrahim, Wubshet ;
Makinde, O. D. .
COMPUTERS & FLUIDS, 2013, 86 :433-441
[6]   Mixed convection boundary layer flow adjacent to a vertical surface embedded in a stable stratified medium [J].
Ishak, Anuar ;
Nazar, Roslinda ;
Pop, Ioan .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2008, 51 (13-14) :3693-3695
[7]   STABILITY AND TRANSITION OF BUOYANCY-INDUCED FLOWS IN A STRATIFIED MEDIUM [J].
JALURIA, Y ;
GEBHART, B .
JOURNAL OF FLUID MECHANICS, 1974, 66 (NOV25) :593-612
[8]  
Khan N A., 2014, Mathematical Sciences Letters, V3, P199, DOI 10.12785/msl/030311
[9]   SIMILARITY SOLUTION FOR NATURAL-CONVECTION FLOW OVER AN ISOTHERMAL VERTICAL WALL IMMERSED IN THERMALLY STRATIFIED MEDIUM [J].
KULKARNI, AK ;
JACOBS, HR ;
HWANG, JJ .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1987, 30 (04) :691-698
[10]   Numerical solution of Williamson fluid flow past a stretching cylinder and heat transfer with variable thermal conductivity and heat generation/absorption [J].
Malik, M. Y. ;
Bibi, M. ;
Khan, Farzana ;
Salahuddin, T. .
AIP ADVANCES, 2016, 6 (03)