Three-Dimensional Flow of an Oldroyd-B Fluid with Variable Thermal Conductivity and Heat Generation/Absorption

PLoS ONE - Tập 8 Số 11 - Trang e78240
S. A. Shehzad1, Ahmed Alsaedi2, Tasawar Hayat2,3, Mohammed S. Alhuthali2
1Department of Mathematics, Quaid‐i‐Azam University, Islamabad, Pakistan
2Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
3Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan

Tóm tắt

Từ khóa


Tài liệu tham khảo

M Jamil, 2011, Unsteady helical flows of Oldroyd-B fluids, Commun Nonlinear Sci Numer Simulat, 16, 1378, 10.1016/j.cnsns.2010.07.004

M Jamil, 2011, Axial Couette flow of an Oldroyd-B fluid in an annulus, Theoretical & Appl Mech Lett, 2, 012001, 10.1063/2.1201201

M Sajid, 2010, Boundary layer flow of an Oldroyd-B fluid in the region of stagnation point over a stretching sheet, Can J Phys, 88, 635, 10.1139/P10-049

T Hayat, 2011, On thermal radiation and Joule heating effects on MHD flow of an Oldroyd-B fluid with thermophoresis, Arb J Sci Eng, 36, 1113, 10.1007/s13369-011-0066-4

T Hayat, 2012, MHD flow of an Oldroyd-B fluid through a porous channel, Int J Chem Reactor Eng, 10, Article ID A8, 10.1515/1542-6580.2655

Q Haitao, 2009, Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative, Appl Math Modell, 33, 4184, 10.1016/j.apm.2009.03.002

Y Liu, 2011, Unsteady MHD Couette flow of a generalized Oldroyd-B fluid with fractional derivative, Comput Math Appl, 61, 443, 10.1016/j.camwa.2010.11.021

C Li, 2012, Helical flows of a heated generalized Oldroyd-B fluid subject to a time-dependent shear stress in porous medium, Commun Nonlinear Sci Numer Simulat, 17, 5026, 10.1016/j.cnsns.2012.04.012

D Tong, 2009, Unsteady helical flows of a generalized Oldroyd-B fluid, J Non-Newtonian Fluid Mech, 156, 75, 10.1016/j.jnnfm.2008.07.004

L Zheng, 2012, Slip effects on MHD flow of a generalized Oldroyd-B fluid with fractional derivative, Nonlinear Analysis: Real World Appl, 13, 513, 10.1016/j.nonrwa.2011.02.016

LJ Crane, 1970, Flow past a stretching plate, ZAMP, 21, 645, 10.1007/BF01587695

B Sahoo, 2011, Effects of slip on sheet-driven flow and heat transfer of a non-Newtonian fluid past a stretching sheet, Comput Math Appl, 61, 1442, 10.1016/j.camwa.2011.01.017

T Hayat, 2011, Mixed convection flow of a micropolar fluid with radiation and chemical reaction, Int J Num Methods Fluids, 67, 1418, 10.1002/fld.2424

OD Makinde, 2010, MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition, Int J Thermal Sci, 49, 1813, 10.1016/j.ijthermalsci.2010.05.015

K Bhattacharyya, 2011, Slip effects on boundary layer stagnation-point flow and heattransfer towards a shrinking sheet, Int J Heat Mass Transfer, 54, 308, 10.1016/j.ijheatmasstransfer.2010.09.041

K Bhattacharyya, 2011, Dual solutions in boundary layer stagnation-point flow and mass transfer with chemical reaction past a stretching/shrinking sheet, Int Commun Heat and Mass Transfer, 38, 917, 10.1016/j.icheatmasstransfer.2011.04.020

S Mukhopadhyay, 2009, Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium, Int J Heat Mass Transfer, 52, 3261, 10.1016/j.ijheatmasstransfer.2008.12.029

CH Chin, 2010, On the analytic solution of MHD flow and heat transfer for two types of viscoelastic fluid over a stretching sheet with energy dissipation, internal heat source and thermal radiation, Int J Heat and Mass Transfer, 53, 4264, 10.1016/j.ijheatmasstransfer.2010.05.053

D Qi, 2009, Analytic Solution for Magnetohydrodynamic Stagnation Point Flow towards a stretching sheet, Chin Phys Lett, 26, 104701, 10.1088/0256-307X/26/10/104701

L Zheng, 2011, Analytic solutions of unsteady boundary flow and heat transfer on a permeable stretching sheet with non-uniform heat source/sink, Commun Nonlinear Sci Numer Simulat, 16, 731, 10.1016/j.cnsns.2010.05.022

Liao SJ (2003) Beyond perturbation: Introduction to homotopy analysis method. Chapman and Hall, CRC Press, Boca Raton.

H Vosughi, 2011, A new analytical technique to solve Volterra's integral equations, Math Methods Appl Sci, 34, 1243, 10.1002/mma.1436

B Yao, 2009, Approximate analytical solution to the Falkner-Skan wedge flow with the permeable wall of uniform suction, Commun Nonlinear Sci Numer Simulat, 14, 3320, 10.1016/j.cnsns.2009.01.014

MM Rashidi, 2010, Analytic approximate solutions for unsteady boundary-layer flow and heat transfer due to a stretching sheet by homotopy analysis method, Nonlinear Analysis: Modelling and Control, 15, 83, 10.15388/NA.2010.15.1.14366

S Kazem, 2012, Tau-homotopy analysis method for solving micropolar flow due to a linearly stretching of porous sheet, Commun Numer Anal, 2012, cna-00114

T Hayat, 2012, Radiative flow of Jeffery fluid in a porous medium with power law heat flux and heat source, Nuclear Eng Design, 243, 15, 10.1016/j.nucengdes.2011.11.005

H Bararnia, 2012, Flow analysis for the Falkner–Skan wedge flow, Current Science, 103, 169

TA Nofal, 2011, An approximation of the analytical solution of the Jeffery-Hamel flow by homotopy analysis method, Appl Math Sci, 5, 2603

X Si, 2011, Homotopy analysis solution for micropolar fluid flow through porous channel with expanding or contracting walls of different permeabilities, Appl Math Mech.-Engl Ed, 32, 859, 10.1007/s10483-011-1465-6

PD Ariel, 2007, The three-dimensional flow past a stretching sheet and the homotopy perturbation method, Comput Math Appl, 54, 920, 10.1016/j.camwa.2006.12.066