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Laminar flow and heat transfer in the boundary-layer of non-Newtonian fluids over a stretching flat sheet

Hang Xu, Shi-Jun Liao
2009 Computers and Mathematics with Applications  
A theoretical analysis of the laminar boundary-layer flow and heat transfer of power-law non-Newtonian fluids over a stretching sheet with the sheet velocity distribution of the form U w = Cx m and the  ...  Within the framework of the boundary layer approximations, the nonlinear boundary layer momentum equation and the energy equation are reduced to a set of ordinary differential equations.  ...  Acknowledgements We thank the anonymous reviewers for their valuable suggestions. This work is partly supported by National Natural Science Foundation of China (Grant No. 50739004).  ... 
doi:10.1016/j.camwa.2009.01.029 fatcat:gq2lyzjhrjexvbdc2ilrc2skae

Flow of viscous fluid along a nonlinearly stretching curved surface

K.M. Sanni, S. Asghar, M. Jalil, N.F. Okechi
2017 Results in Physics  
This paper focuses on the flow of viscous fluid over a curved surface stretching with nonlinear power-law velocity.  ...  The impact of non-dimensional radius of curvature and power-law indices on the velocity field, the pressure and the skin friction coefficient are investigated.  ...  Analytical solutions for the flow of power-law fluid over a power law stretching of flat surface was given by Jalil et al. [8] .  ... 
doi:10.1016/j.rinp.2016.11.058 fatcat:nyd3s545fje55llooaamkyqi3q

Magneto Hydrodynamic Orthogonal Stagnation Point Flow of a Power-Law Fluid Toward a Stretching Surface

Manisha Patel, M.G Timol
2011 American Journal of Computational Mathematics  
Steady two dimensional MHD stagnation point flow of a power law fluid over a stretching surface is investigated when the surface is stretched in its own plane with a velocity proportional to the distance  ...  The fluid impinges on the surface is considered orthogonally. Numerical and analytical solutions are obtained for different cases.  ...  In this paper we investigate steady two dimensional stagnation point flow of a power law fluid over a stretching surface, when the surface is stretched in its own plane with a velocity proportional to  ... 
doi:10.4236/ajcm.2011.12013 fatcat:z7zckcznmfduddbnnyhdwj4aru

Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition

Rabia Malik, Masood Khan, Asif Munir, Waqar Azeem Khan, Zhonghao Rao
2014 PLoS ONE  
In this article, we have studied the flow and heat transfer in Sisko fluid with convective boundary condition over a nonisothermal stretching sheet.  ...  The flow is influenced by non-linearly stretching sheet in the presence of a uniform transverse magnetic field.  ...  [14] presented solution to the unsteady convective boundary layer flow of a viscous fluid over a vertical stretching surface with thermal radiation.  ... 
doi:10.1371/journal.pone.0107989 pmid:25285822 pmcid:PMC4186795 fatcat:i42c2v2rxneg5cu6eyasu5qqsi

Viscoelastic Flow and Heat Transfer over a Non-Linearly Stretching Sheet: OHAM Solution

Meraj Mustafa
2016 Journal of Applied Fluid Mechanics  
In this paper the viscoelastic flow and heat transfer over a non-linearly stretching sheet with the power law velocity of the form n w u cx  is investigated for the first time.  ...  A prescribed power-law surface temperature distribution of the form n w T T Ax    is considered. Mathematical model is constructed through the constitutive equations of second grade fluid.  ...  Heat and mass transfer for Soret and Dufour's effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid.  ... 
doi:10.18869/acadpub.jafm.68.228.24778 fatcat:3zwx6gikrje4bn4qo5tlafngwi

MHD axisymmetric flow of power-law fluid over an unsteady stretching sheet with convective boundary conditions

Jawad Ahmed, Abida Begum, Azeem Shahzad, Ramzan Ali
2016 Results in Physics  
This paper examines the boundary layer flow and heat transfer characteristic in power law fluid model over unsteady radially stretching sheet under the influence of convective boundary conditions.  ...  A uniform magnetic field is applied transversely to the direction of the flow.  ...  Concluding remarks The laminar MHD boundary layer flow of power law fluid over an unsteady porous radially stretching sheet was investigated in the presence of convective boundary conditions.  ... 
doi:10.1016/j.rinp.2016.11.013 fatcat:f53kpm4rizgtjb6nzjf3jmdvzu

Slip velocity effect on a non-Newtonian power-law fluid over a moving permeable surface with heat generation

Mostafa A.A. Mahmoud
2011 Mathematical and computer modelling  
The effects of surface slip and heat generation (absorption) on the flow and heat transfer of a non-Newtonian power-law fluid on a continuously moving surface have been examined.  ...  Graphical solutions for the dimensionless velocity and the dimensionless temperature are presented and discussed for various values of the slip parameter, the heat generation or absorption parameter and  ...  Mahmoud and Mahmoud [10] analytically examined the boundary layer flow of a power-law non-Newtonian fluid over a continuously moving surface in the presence of a non-uniform transverse magnetic field.  ... 
doi:10.1016/j.mcm.2011.03.034 fatcat:c2eqacedtndufpmq2vocgnlkve

Dual solutions of slip flow past a nonlinearly shrinking permeable sheet

Sudipta Ghosh, Swati Mukhopadhyay, Kuppalapalle Vajravelu
2016 Alexandria Engineering Journal  
The aim of the paper is to investigate the flow of an incompressible viscous fluid past a nonlinearly shrinking permeable sheet.  ...  It is found that for the first solution the momentum boundary layer thickness decreases with slip and suction parameters; but it increases with the power-law index of the shrinking velocity.  ...  Acknowledgements Thanks are indeed due to the learned reviewers for their constructive suggestions which helped a lot to improve the quality of the paper. One of the authors S.  ... 
doi:10.1016/j.aej.2016.04.002 fatcat:6lbiyouexnapleafzkht6b3aiy

Radiation Effects on MHD Boundary Layer Flow and Heat Transfer Over a Nonlinear Stretching Surface with Variable Wall Temperature in the Presence of Non-Uniform Heat Source/Sink

S.P Anjali Devi, M. Agneeshwari, J. Wilfred Samuel Raj
2018 International Journal of Applied Mechanics and Engineering  
In this paper, an investigation is made to analyze the effects of radiation on an MHD boundary layer flow and heat transfer over a nonlinear stretching surface with variable wall temperature and non-uniform  ...  The effects of various physical parameters over a dimensionless velocity and dimensionless temperature are presented graphically.  ...  Chiam [16] presented an analytical and numerical solution of an MHD flow and heat transfer over a non-linear stretching surface with power law velocity by using the Runge-Kutta shooting algorithm with  ... 
doi:10.2478/ijame-2018-0016 fatcat:olc2qbg2ong77p7xvyltes3vfi

Thermal Analysis of Flow in a Porous Medium Over a Permeable Stretching Wall

A. Tamayol, K. Hooman, M. Bahrami
2010 Transport in Porous Media  
This work presents a similarity solution for boundary layer flow through a porous medium over a stretching porous wall.  ...  Independent numerical simulations are also performed for verification of the proposed analytical solution. The results, from the two independent approaches, are found to be in complete agreement.  ...  The flow field of a stretching surface with a power-law velocity variation was discussed by Banks (1983) .  ... 
doi:10.1007/s11242-010-9584-x fatcat:qnqm5wpcv5btne4dczh5ojg2kq

Numerical Investigation of Thermal Radiation and Viscous Effects on Entropy Generation in Forced Convection Blood Flow over an Axisymmetric Stretching Sheet

Mohammad Abdollahzadeh Jamalabadi, Payam Hooshmand, Ashkan Hesabi, Moon Kwak, Isma'il Pirzadeh, Ahmad Keikha, Mohammadreza Negahdari
2016 Entropy  
Numerical and analytical investigation of the effects of thermal radiation and viscous heating on a convective flow of a non-Newtonian, incompressible fluid in an axisymmetric stretching sheet with constant  ...  The power law model of the blood is used for the non-Newtonian model of the fluid and the Rosseland model for the thermal radiative heat transfer in an absorbing medium and viscous heating are considered  ...  Kwak analyzed the data and wrote the manuscript for initial submission. All authors have read and approved the final manuscript. Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/e18060203 fatcat:j2eeouqgufazlkrjspo54xmm7a

Analytical Solution of Flow and Heat Transfer over a Permeable Stretching Wall in a Porous Medium

M. Dayyan, S. M. Seyyedi, G. G. Domairry, M. Gorji Bandpy
2013 Mathematical Problems in Engineering  
Boundary layer flow through a porous medium over a stretching porous wall has seen solved with analytical solution.  ...  It has been considered two wall boundary conditions which are power-law distribution of either wall temperature or heat flux. These are general enough to cover the isothermal and isoflux cases.  ...  The flow field of a stretching surface with a power-law velocity variation was discussed by Banks [8] .  ... 
doi:10.1155/2013/682795 fatcat:w2osmpuf6zflrljfxjv5zmpggi

Forced Convective Heat Transfer in Boundary Layer Flow of Sisko Fluid over a Nonlinear Stretching Sheet

Asif Munir, Azeem Shahzad, Masood Khan, Gongnan Xie
2014 PLoS ONE  
The major focus of this article is to analyze the forced convective heat transfer in a steady boundary layer flow of Sisko fluid over a nonlinear stretching sheet.  ...  The numerical results for the temperature field are found to be strongly dependent upon the power-law index, stretching parameter, wall temperature parameter, material parameter of the Sisko fluid and  ...  Moreover, the authors would like to thank the reviewer for his careful assessment and fruitful suggestions. Author Contributions  ... 
doi:10.1371/journal.pone.0100056 pmid:24949738 pmcid:PMC4064994 fatcat:uaxfwa63crb4zdiqzmkbhlw7m4

Flow of Power-Law Nanofluid over a Stretching Surface with Newtonian Heating

T. Hayat, Majid Hussain, Ahmed Alsaedi, Sabir Shehzad
2015 Journal of Applied Fluid Mechanics  
The present investigation addresses the effect of Newtonian heating in the laminar flow of power law nanofluid. The flow is induced by a stretching surface.  ...  A parametric study is performed for the influential parameters on the velocity and temperature. Physical interpretation of the derived solutions is presented.  ...  The purpose of present investigation is to analyze the boundary layer flow of power law nanofluid over a vertical stretching sheet.  ... 
doi:10.18869/acadpub.jafm.67.221.22846 fatcat:z2liqkz6ozfbph2tejzuazokai

Flow and Heat Transfer of Quiescent Non-Newtonian Power-Law Fluid Driven by a Moving Plate: An Integral Approach

B.H. Lakshmipathi Raju, V. Dharma Rao, B. Bala Krishna
2015 Procedia Engineering  
The problem of boundary layer flow and heat transfer from a plate moving in a quiescent non-Newtonian power law fluid medium is solved numerically to obtain results showing the effects of power-law index  ...  Further in the case of a power-law liquid, an increase in the velocity of the plate also produces a reduction in drag and an increase in heat transfer.  ...  Conclusion The present work provides analytical solutions for boundary layer flow and heat transfer coefficients of moving plate through a quiescent power law fluid.  ... 
doi:10.1016/j.proeng.2015.11.402 fatcat:lspn6eo7wfdzlkxka2b5am6m6q
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