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A. Mahdy, Ali Chamkha (2015)
Heat transfer and fluid flow of a non-Newtonian nanofluid over an unsteady contracting cylinder employing Buongiorno’s modelInternational Journal of Numerical Methods for Heat & Fluid Flow, 25
F. Ali, R. Nazar, N. Arifin, I. Pop (2011)
Unsteady flow and heat transfer past an axisymmetric permeable shrinking sheet with radiation effectInternational Journal for Numerical Methods in Fluids, 67
Liancun Zheng, Lijuan Wang, Xinxin Zhang (2011)
Analytic solutions of unsteady boundary flow and heat transfer on a permeable stretching sheet with non-uniform heat source/sinkCommunications in Nonlinear Science and Numerical Simulation, 16
X. Su, Liancun Zheng, Xinxin Zhang, Junhong Zhang (2012)
MHD mixed convective heat transfer over a permeable stretching wedge with thermal radiation and ohmic heatingChemical Engineering Science, 78
S. Mukhopadhyay, H. Andersson (2009)
Effects of slip and heat transfer analysis of flow over an unsteady stretching surfaceHeat and Mass Transfer, 45
L. Crane (1970)
Flow past a stretching plateZeitschrift für angewandte Mathematik und Physik ZAMP, 21
Fang Tiegang, Z. Ji, Yao Shan-Shan (2009)
Viscous Flow over an Unsteady Shrinking Sheet with Mass TransferChinese Physics Letters, 26
Liancun Zheng, Jiajia Niu, Xinxin Zhang, Yingtao Gao (2012)
MHD flow and heat transfer over a porous shrinking surface with velocity slip and temperature jumpMath. Comput. Model., 56
Yan Zhang, Liancun Zheng (2012)
Analysis of MHD thermosolutal Marangoni convection with the heat generation and a first-order chemical reactionChemical Engineering Science, 69
M. Miklavcic, C. Wang (2006)
Viscous flow due to a shrinking sheetQuarterly of Applied Mathematics, 64
Y. Khan, Habibolla Latifizadeh (2013)
Application of new optimal homotopy perturbation and Adomian decomposition methods to the MHD non-Newtonian fluid flow over a stretching sheetInternational Journal of Numerical Methods for Heat & Fluid Flow, 24
B. Dandapat, B. Santra, Helge Andersson (2003)
Thermocapillarity in a liquid film on an unsteady stretching surfaceInternational Journal of Heat and Mass Transfer, 46
M. Sajid, N. Ali, T. Javed, Zaheer Abbas (2010)
Stretching a Curved Surface in a Viscous FluidChinese Physics Letters, 27
T. Mahapatra, S. Nandy (2013)
Slip effects on unsteady stagnation-point flow and heat transfer over a shrinking sheetMeccanica, 48
E. Fisher (1976)
Extrusion of plastics
R. Cortell (2007)
Viscous flow and heat transfer over a nonlinearly stretching sheetAppl. Math. Comput., 184
H. Andersson, J. Aarseth, B. Dandapat (2000)
Heat transfer in a liquid film on an unsteady stretching surfaceInternational Journal of Heat and Mass Transfer, 43
R. Tsai, K. Huang, J. Huang (2008)
Flow and heat transfer over an unsteady stretching surface with non-uniform heat sourceInternational Communications in Heat and Mass Transfer, 35
V. Kumaran, A. Banerjee, A. Kumar, K. Vajravelu (2009)
MHD flow past a stretching permeable sheetAppl. Math. Comput., 210
M. Turkyilmazoglu (2012)
Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluidsChemical Engineering Science, 84
Tiegang Fang, Ji Zhang (2009)
Closed-form exact solutions of MHD viscous flow over a shrinking sheetCommunications in Nonlinear Science and Numerical Simulation, 14
T. Hayat, S. Shehzad, M. Qasim, S. Asghar (2014)
Three-dimensional stretched flow via convective boundary condition and heat generation/absorptionInternational Journal of Numerical Methods for Heat & Fluid Flow, 24
Z. Abbas, M. Naveed, M. Sajid (2013)
Heat transfer analysis for stretching flow over a curved surface with magnetic fieldJournal of Engineering Thermophysics, 22
N. Bachok, Anuar Ishak, I. Pop (2010)
Unsteady three-dimensional boundary layer flow due to a permeable shrinking sheetApplied Mathematics and Mechanics, 31
Applied Mathematics and Computational Intelligence, 1
S. Mukhopadhyay (2013)
MHD boundary layer flow and heat transfer over an exponentially stretching sheet embedded in a thermally stratified mediumalexandria engineering journal, 52
K. Vajravelu, D. Rollins (2004)
Hydromagnetic flow of a second grade fluid over a stretching sheetAppl. Math. Comput., 148
W. Ibrahim, B. Shankar, M. Nandeppanavar (2013)
MHD stagnation point flow and heat transfer due to nanofluid towards a stretching sheetInternational Journal of Heat and Mass Transfer, 56
P. Kameswaran, Z. Makukula, P. Sibanda, S. Motsa, P. Murthy (2014)
A new algorithm for internal heat generation in nanofluid flow due to a stretching sheet in a porous mediumInternational Journal of Numerical Methods for Heat & Fluid Flow, 24
T. Hayat, S. Saif, Z. Abbas (2008)
The influence of heat transfer in an MHD second grade fluid film over an unsteady stretching sheetPhysics Letters A, 372
N. Rosca, I. Pop (2015)
Unsteady boundary layer flow over a permeable curved stretching/shrinking surfaceEuropean Journal of Mechanics B-fluids, 51
M. Ali, E. Magyari (2007)
Unsteady fluid and heat flow induced by a submerged stretching surface while its steady motion is slowed down graduallyInternational Journal of Heat and Mass Transfer, 50
Liancun Zheng, Jiajia Niu, Xinxin Zhang, Lianxi Ma (2012)
Dual solutions for flow and radiative heat transfer of a micropolar fluid over stretching/shrinking sheetInternational Journal of Heat and Mass Transfer, 55
S. Goldstein (1965)
On backward boundary layers and flow in converging passagesJournal of Fluid Mechanics, 21
M. Rahman, A. Rosca, I. Pop (2015)
Boundary layer flow of a nanofluid past a permeable exponentially shrinking surface with convective boundary condition using Buongiorno’s modelInternational Journal of Numerical Methods for Heat & Fluid Flow, 25
Liancun Zheng, Ning Liu, Jiajia Niu, Xinxin Zhang (2013)
SLIP AND BUOYANCY LIFT EFFECTS ON THE MIXED CONVECTION FLOW AND RADIATION HEAT TRANSFER OF A MICROPOLAR FLUID TOWARD VERTICAL PERMEABLE PLATEJournal of Porous Media, 16
E. Elbashbeshy, M. Bazid (2004)
Heat transfer over an unsteady stretching surfaceHeat and Mass Transfer, 41
S. Sharidan, T. Mahmood, I. Pop (2006)
Similiarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheetInternational Journal of Applied Mechanics and Engineering, 11
Melini Suali, N. Long, Norihan Ariffin (2011)
Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or InjectionJ. Appl. Math., 2012
K. Bhattacharyya, S. Mukhopadhyay, G. Layek (2011)
Slip Effects on an Unsteady Boundary Layer Stagnation-Point Flow and Heat Transfer towards a Stretching SheetChinese Physics Letters, 28
M. Sajid, N. Ali, Z. Abbas, T. Javed (2011)
Flow of a micropolar fluid over a curved stretching surfaceJournal of Engineering Physics and Thermophysics, 84
C. Devi, H. Takhar, G. Nath (1986)
Unsteady, three-dimensional, boundary-layer flow due to a stretching surfaceInternational Journal of Heat and Mass Transfer, 29
Pinakee Dey, Babul Hossain, M. Miah, M. Ali (2012)
Approximate solutionsof Damped Nonlinear Vibrating System with Varying Coefficients under Some ConditionsApplied and Computational Mathematics, 1
K. Bhattacharyya (2011)
Effects of radiation and heat source/sink on unsteady MHD boundary layer flow and heat transfer over a shrinking sheet with suction/injectionFrontiers of Chemical Science and Engineering, 5
PurposeThe purpose of this paper is to theoretically study the problem of the unsteady boundary layer flow past a permeable curved stretching/shrinking surface in the presence of a uniform magnetic field. The governing nonlinear partial differential equations are converted into ordinary differential equations by similarity transformation, which are then solved numerically.Design/methodology/approachThe transformed system of ordinary differential equations was solved using a fourth-order Runge-Kutta integration scheme. Results for the reduced skin friction coefficient and velocity profiles are presented through graphs and tables for several sets of values of the governing parameters. The effects of these parameters on the flow characteristics are thoroughly examined.FindingsResults show that for the both cases of stretching and shrinking surfaces, multiple solutions exist for a certain range of the curvature, mass suction, unsteadiness, stretching/shrinking parameters and magnetic field parameter.Originality/valueThe paper describes how multiple (dual) solutions for the flow reversals are obtained. It is shown that the solutions exist up to a critical value of the shrinking parameter, beyond which the boundary layer separates from the surface and the solution based upon the boundary layer approximations is not possible.
International Journal of Numerical Methods for Heat and Fluid Flow – Emerald Publishing
Published: Nov 7, 2016
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