Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/multiple-solutions-of-an-unsteady-stagnation-point-flow-with-melting-ZK9U0n4mIM
References (45)
-
Anuar Ishak, R. Nazar, N. Bachok, I. Pop (2010)
Melting heat transfer in steady laminar flow over a moving surfaceHeat and Mass Transfer, 46
-
"Emerging Topics in Heat and Mass Transfer in Porous Media
Springer, New York
-
K. Bhattacharyya, S. Mukhopadhyay, G. Layek (2011)
Steady boundary layer slip flow and heat transfer over a flat porous plate embedded in a porous mediaJournal of Petroleum Science and Engineering, 78
-
A. Rosca, I. Pop (2013)
Flow and heat transfer over a vertical permeable stretching/shrinking sheet with a second order slipInternational Journal of Heat and Mass Transfer, 60
-
Stability analysis of threedimensional flow and heat transfer over a permeable shrinking surface in a Cu-water nanofluid
Int J Math Comput Physical Quantum Eng, 8
-
K. Yih (1998)
Uniform suction/blowing effect on forced convection about a wedge: Uniform heat fluxActa Mechanica, 128
-
A. Pantokratoras (2015)
FORCED CONVECTION IN A DARCY−BRINKMAN POROUS MEDIUM WITH A CONVECTIVE THERMAL BOUNDARY CONDITIONJournal of Porous Media, 18
-
I. Pop, D. Ingham (2001)
Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media -
Anuar Ishak, R. Nazar, I. Pop (2006)
STEADY AND UNSTEADY BOUNDARY LAYERS DUE TO A STRETCHING VERTICAL SHEET IN A POROUS MEDIUM USING DARCY-BRINKMAN EQUATION MODELInternational Journal of Applied Mechanics and Engineering, 11
-
Steady and unsteady boundary layer due to a stretching sheet in a porous medium using Darcy-Brinkman model
Int J Appl Mech Eng, 11
-
Tie-Gang Fang, Z. Ji, Shan-Shan Yao (2009)
Viscous Flow over an Unsteady Shrinking Sheet with Mass TransferChinese Physics Letters, 26
-
F. Mabood, A. Mastroberardino (2015)
Melting heat transfer on MHD convective flow of a nanofluid over a stretching sheet with viscous dissipation and second order slipJournal of The Taiwan Institute of Chemical Engineers, 57
-
Chaoyang Wang (1990)
Liquid film on an unsteady stretching surfaceQuarterly of Applied Mathematics, 48
-
Hydrodynamics, a Study in Fact and Similitude
Princeton University Press, Princeton
-
S. Harris, D. Ingham, I. Pop (2009)
Mixed Convection Boundary-Layer Flow Near the Stagnation Point on a Vertical Surface in a Porous Medium: Brinkman Model with SlipTransport in Porous Media, 77
-
M. Brewster (1992)
Thermal Radiative Transfer and Properties -
P. Vadasz (2008)
Emerging topics in heat and mass transfer in porous media : from bioengineering and microelectronics to nanotechnology -
R. Nazar, A. Noor, K. Jafar, I. Pop (2014)
Stability Analysis of Three-Dimensional Flow and Heat Transfer over a Permeable Shrinking Surface in a Cu-Water NanofluidWorld Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 8
-
M. Sheremet, T. Trifonova (2014)
Unsteady Conjugate Natural Convection in a Vertical Cylinder Containing a Horizontal Porous Layer: Darcy Model and Brinkman-Extended Darcy ModelTransport in Porous Media, 101
-
T. Hayat, M. Mustafa, Z. Iqbal, A. Alsaedi (2013)
Stagnation-point flow of couple stress fluid with melting heat transferApplied Mathematics and Mechanics, 34
-
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
-
M. Hafidzuddin, R. Nazar, N. Arifin, I. Pop (2015)
Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface -
S. Ahmad, I. Pop (2014)
Melting Effect on Mixed Convection Boundary Layer Flow About a Vertical Surface Embedded in a Porous Medium: Opposing Flows CaseTransport in Porous Media, 102
-
D. Ingham, A. Bejan, E. Mamut, I. Pop (2004)
Emerging technologies and techniques in porous media -
G. Birkhoff (1950)
Hydrodynamics : a study in logic, fact, and similitude -
K. Vafai (2015)
Handbook of porous media -
P. Weidman, D. Kubitschek, A. Davis (2006)
The effect of transpiration on self-similar boundary layer flow over moving surfacesInternational Journal of Engineering Science, 44
-
I. Teipel (1979)
Unsteady Laminar Boundary Layers in an Incompressible Three-Dimensional Stagnation Flow -
Azizah Rohni, S. Ahmad, I. Pop, J. Merkin (2012)
Unsteady mixed convection boundary-layer flow with suction and temperature slip effects near the stagnation point on a vertical permeable surface embedded in a porous mediumTransport in Porous Media, 92
-
Unsteady laminar boundary layers in an incompressible stagnation flow
J Appl Mech, 25
-
H. Rosali, Anuar Ishak, I. Pop (2011)
Mixed Convection Stagnation-Point Flow Over a Vertical Plate with Prescribed Heat Flux Embedded in a Porous Medium: Brinkman-Extended Darcy FormulationTransport in Porous Media, 90
-
Anuar Ishak, R. Nazar, I. Pop (2007)
Falkner-Skan equation for flow past a moving wedge with suction or injectionJournal of Applied Mathematics and Computing, 25
-
W. Khan, M. Uddin, A. Ismail (2015)
EFFECT OF MULTIPLE SLIPS AND DISSIPATION ON BOUNDARY LAYER FLOW OF NANOFLUID FLOW OVER A POROUS FLAT PLATE IN POROUS MEDIAJournal of Porous Media, 18
-
Melting heat transfer in steady laminar flow over a flat plate
ASME J Heat Transfer
-
A. Bejan, I. Dincer, S. Lorente, A. Miguel, A. Reis (2004)
Porous and Complex Flow Structures in Modern Technologies -
D. Nield, A. Bejan (1992)
Convection in Porous Media -
M. Kazmierczak, D. Poulikakos, I. Pop (1986)
MELTING FROM A FLAT PLATE EMBEDDED IN A POROUS MEDIUM IN THE PRESENCE OF STEADY NATURAL CONVECTIONNumerical Heat Transfer Part A-applications, 10
-
A. Pantokratoras (2014)
Mixed Convection in a Darcy–Brinkman Porous Medium with a Constant Convective Thermal Boundary ConditionTransport in Porous Media, 104
-
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
-
Convection in porous media," 3rd ed
Springer, New York
-
M. Hamad, I. Pop (2011)
Scaling Transformations for Boundary Layer Flow near the Stagnation-Point on a Heated Permeable Stretching Surface in a Porous Medium Saturated with a Nanofluid and Heat Generation/Absorption EffectsTransport in Porous Media, 87
-
N. Yacob, Anuar Ishak, I. Pop (2011)
Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet in a micropolar fluidComputers & Fluids, 47
-
M. Epstein, D. Cho (1976)
Melting Heat Transfer in Steady Laminar Flow Over a Flat PlateJournal of Heat Transfer-transactions of The Asme, 98
-
J. Bear, M. Corapcioglu (1998)
Transport Phenomena in Porous Media -
T. Mahapatra (2011)
Stability Analysis of Dual Solutions in Stagnation-point Flow and Heat Transfer over a Power-law Shrinking Surface
- Publisher
- de Gruyter
- Copyright
- © 2016 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 2192-8029
- eISSN
- 2192-8029
- DOI
- 10.1515/nleng-2015-0034
- Publisher site
- See Article on Publisher Site
Abstract
AbstractThe characteristics of the unsteady boundary layer flow with melting heat transfer near a stagnation-point towards a flat plate embedded in a DarcyBrinkman porous medium with thermal radiation are investigated. The governing partial differential equations are transformed into self-similar ordinary differential equations by similarity transformations. The transformed self-similar equations are solved numerically using bvp4c from Matlab for several values of the flow parameters. The study reveals that the multiple solutions exist for the decelerating (A < 0) flow, whereas for the accelerating (A ≥ 0) flow, the solution is unique. The results also indicate that the melting phenomenon increases the rate of heat transfer and delays the boundary layer separation. To validate the current numerical results, comparison with available results is made and found to be in a good agreement.
Journal
Nonlinear Engineering – de Gruyter
Published: Jun 1, 2016