Slip boundary layer flow of a power-law fluid over moving permeable surface with viscous dissipation and prescribed surface temperature


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


In the present study, the slip boundary layer flow of a power-law non-Newtonian fluid over continuously moving permeable surface with internal heat generation/absorption has been examined at prescribed surface temperature taking into account the effect of viscous dissipation.  The governing partial differential equations along with the boundary conditions are first cast into a dimensionless form and then the reduced ordinary differential equations are solved numerically via Dormand-Prince pair and shooting method. Comparison of numerical results is made with the earlier published results under limiting cases. The values of the local skin friction coefficient and the local Nusselt number are obtained and presented, graphically. A comprehensive parametric study is carried out to investigate the effects of involved parameters of the problem and it is shown that the rate of heat transfer increases with the surface temperature parameter, Prandtl number, internal heat absorption and suction.
Copyright © 2014 Praise Worthy Prize - All rights reserved.

Keywords


Permeable Moving Surface; Partial Slip; Power-Law Fluid; Heat Generation/Absorption; Prescribed Surface Temperature; Viscous Dissipation

Full Text:

PDF


References


J.H. Kim, J.Y. Yoon, Protein Adsorption on Polymer Particles, Encyclopedia of Surface and Colloidal Science, (HubbardTA, Ed. New York: Marcel Dekker, 2002, 4373-4381).

R.D. Johnson, V.G. Gavalas, S. Daunert, L.G. Bachas, Microfluidic Ion-Sensing Devices, Analytica Chimica Acta, 613,1, 20-30, 2008.

J. Jang, S.S. Lee, Theoretical and Experimental Study of MHD (Magnetohydrodynamic) Micropump, Sensors and Actuators A: Physical, 80, 1,84-89, 2000.

B.D. Iverson, S.V. Garimella, Recent Advances in Microscale Pumping Technologies: A Review and Evaluation, Microfluidics and Nanofluidics, 5, 2, 145-174, 2008.

P. Chaturani, R.P. Samy, A Study of Non-Newtonian Aspects of Blood Flow Through Stenosed Arteries and Its Applications in Arterial Diseases, Biorheology, 22,6,521, 1985.

M.H. Yazdi, S. Abdullah, I. Hashim, K. Sopian, A. Zaharim, Entropy Generation Analysis of Liquid Fluid Past Embedded Open Parallel Microchannels Within The Surface, European Journal of Scientific Research, 28,3,462-470, 2009.

M.H. Yazdi, S. Abdullah, I. Hashim, K. Sopian, Entropy Generation Analysis of Open Parallel Microchannels Embedded Within a Permeable Continuous Moving Surface: Application to Magnetohydrodynamics (MHD), Entropy, 14,1, 1-23, 2012.

M.H. Yazdi, S. Abdullah, I. Hashim, K. Sopian, Second Law Analysis of MHD Flow over Open Parallel Microchannels Embedded in a Micropatterned Surface, In Proceedings of 10th WSEAS International Conference on Heat Transfer, Thermal Engineering and Environment,Istanbul, Turkey, 2012, 21–23.

R.P. Chhabra, J.F. Richardson, Non-Newtonian Flow: Fundamentals and Engineering Applications, (1st edition, Butterworth-Heinemann, 1999).

T. Hayat, Z. Iqbal, M. Qasim, S. Obaidat, Steady Flow of an Eyring Powell Fluid Over a Moving Surface With Convective Boundary Conditions, International Journal of Heat and Mass Transfer, 55, 7,1817-1822, 2012.

E.G. Fisher, Extrusion of Plastics, (Iliffe Books, 1964).

M.H. Yazdi, S. Abdullah, I. Hashim, K. Sopian, Slip MHD Liquid Flow and Heat Transfer Over Non-Linear Permeable Stretching Surface With Chemical Reaction, International Journal of Heat and Mass Transfer, 54,15-16, 3214-3225, 2011.

L. Capretto, W. Cheng, M. Hill, X. Zhang, Micromixing Within Microfluidic Devices, Topics in Current Chemistry, 304, 27-68, 2011.

M.H. Yazdi, S. Abdullah, I. Hashim, K. Sopian, Reducing Entropy Generation in MHD Fluid Flow over Open Parallel Microchannels Embedded in a Micropatterned Permeable Surface, Entropy, 15, 11,4822-4843, 2013.

R.I. Tanner, Partial Wall Slip in Polymer Flow, Industrial & Engineering Chemistry Research, 33,10, 2434-2436, 1994.

A. Yoshimura, R.K. Prud’homme, Wall slip Corrections for Couette and Parallel Disk Viscometers, Journal of Rheology, 32,53, 1988.

S. Mukhopadhyay, Slip Effects on MHD Boundary Layer Flow over an Exponentially Stretching Sheet With Suction/Blowing and Thermal Radiation, Ain Shams Engineering Journal, 4,485–491, 2012.

M.H. Yazdi, S. Abdullah, I. Hashim, A. Zaharim, K. Sopian, Friction and Heat transfer in Slip flow Boundary Layer at Constant Heat Flux Boundary Conditions, in Mathematical Methods, Computational Techniques, Non-Linear Systems, Intelligent Systems, (WSEAS, pp. 207-212, 2008)

M.H. Yazdi, S. Abdullah, I. Hashim, Z.M. Nopiah, A. Zaharim, K. Sopian, Convective Heat transfer of Slip liquid flow Past Horizontal Surface within the Porous media at Constant Heat Flux Boundary Conditions, in: Proceedings of the American Conference on Applied Mathematics: Recent Advances in Applied Mathematics, (WSEAS, pp. 527-533, 2009).

M.H. Yazdi, S. Abdullah, I. Hashim, K. Sopian, Slip MHD flow over permeable stretching surface with chemical reaction, 17th Australasian Fluid Mechanics Conference, Auckland, New Zealand, 2010.

T. Hayat, M. Qasim, S. Mesloub, MHD Flow and Heat Transfer over Permeable Stretching Sheet with Slip Conditions, International Journal for Numerical Methods in Fluids, 66,8,963-975, 2011.

M. Turkyilmazoglu, Analytic Heat and Mass Transfer of The Mixed Hydrodynamic/Thermal Slip MHD Viscous Flow over a Stretching Sheet, International Journal of Mechanical Sciences, 53,10, 886-896, 2011.

M.H. Yazdi, S. Abdullah, I. Hashim, K. Sopian, Effects of Viscous Dissipation on the Slip MHD Flow and Heat Transfer past a Permeable Surface with Convective Boundary Conditions, Energies, 4,12, 2273-2294, 2011.

B. Vujanovic, A. M. Status and D. J. Djukiv, A variational solution of the Rayleigh problem for power-law non-Newtonian conducting fluid, Archive of Applied Mechanics, 41,6 ,381-386, 1971.

K. Prasad, D. Pal, P. Datti, MHD Power-Law Fluid Flow and Heat Transfer over a Non-Isothermal Stretching Sheet, Communications in Nonlinear Science and Numerical Simulation, 14,5,2178-2189, 2009.

W. Schowalter, The application of boundary‐layer theory to power‐law pseudoplastic fluids: Similar solutions, AIChE Journal, 6(1) (1960) 24-28.

A. Acrivos, M. Shah, E. Petersen, Momentum and heat transfer in laminar boundary‐layer flows of non‐Newtonian fluids past external surfaces, AIChE Journal, 6,2,312-317, 1960.

J.N. Kapur, R.C. Srivastava, Similar Solutions of The Boundary Layer Equations for Power Law Fluids, für Angewandte Mathematik und Physik (ZAMP), 14,4,383-389, 1963.

I. Hassanien, A. Abdullah, R. Gorla, Flow and Heat Transfer in a Power-Law Fluid over a Nonisothermal Stretching Sheet, Mathematical and Computer Modelling, 28,9,105-116, 1998.

M. Mahmoud, M.E. Mahmoud, Analytical Solutions of Hydromagnetic Boundary-Layer Flow of a Non-Newtonian Power-Law Fluid Past a Continuously Moving Surface, Acta Mechanica, 181,1-2,p83-89, 2006.

K. Prasad, K. Vajravelu, Heat Transfer in the MHD Flow of a Power Law Fluid over a Non-Isothermal Stretching Sheet, International Journal of Heat and Mass Transfer, 52,21,4956-4965, 2009.

M. Jalil, S. Asghar, M. Mushtaq, Analytical Solutions of The Boundary Layer Flow of Power-Law Fluid over a Power-Law Stretching Surface, Communications in Nonlinear Science and Numerical Simulation, 18, 1143–1150, 2012.

B. Li, L. Zheng, X. Zhang, Heat Transfer in Pseudo-Plastic Non-Newtonian Fluids With Variable Thermal Conductivity, Energy Conversion and Management, 52,1, 355-358, 2011.

M.A. Mahmoud, A.M. Megahed, Non-Uniform Heat Generation Effect on Heat Transfer of a Non-Newtonian Power-Law Fluid over a Non-Linearly Stretching Sheet, Meccanica, 47,5, 1131-1139, 2012.

A.M. Megahed, Variable Viscosity and Slip Velocity Effects on the Flow and Heat Transfer of a Power-Law Fluid over a Non-Linearly Stretching Surface with Heat Flux and Thermal Radiation, Rheologica Acta, 51, 9,841-847, 2012.

M.M. Nandeppanavar, K. Vajravelu, M.S. Abel, M. Siddalingappa, MHD Flow and Heat Transfer over a Stretching Surface With Variable Thermal Conductivity and Partial Slip, Meccanica, 48,6, 1451-1464, 2013.

M.A. Mahmoud, Slip Velocity Effect on a Non-Newtonian Power-Law Fluid over a Moving Permeable Surface With Heat Generation, Mathematical and Computer Modelling, 54,5, 1228-1237, 2011.

W. Ibrahim, B. Shanker, Unsteady MHD Mixed Convective Boundary‐Layer Slip Flow and Heat Transfer with Thermal Radiation and Viscous Dissipation, Heat Transfer—Asian Research, DOI: 10.1002/htj.21086, 2013.

K. Vajravelu, K. Prasad, P. Datti, B. Raju, MHD Flow and Heat Transfer of an Ostwald–De Waele Fluid over an Unsteady Stretching Surface, Ain Shams Engineering Journal, doi:10.1016/j.asej.2013.07.009, 2013.

Srinivasacharya, D., Swamy Reddy, G., Soret and Dufour effects on natural convection in power-law fluid saturated porous medium, (2012) International Review of Mechanical Engineering (IREME), 6 (3), pp. 397-404.

Hsiao, K.-L., Heat and mass mixed convection for viscoelastic fluid past a stretching sheet with ohmic dissipation through a porous space, (2009) International Review of Mechanical Engineering (IREME), 3 (1), pp. 22-28.

Loganathan, P., Golden Stepha, N., Radiation and mass transfer effects on flow of micropolar fluid past a continuously moving plate with suction/injection, (2012) International Review of Mechanical Engineering (IREME), 6 (1), pp. 22-28.

F.P. Foraboschi, I. Di Federico, Heat Transfer in Laminar Flow of Non-Newtonian Heat-Generating Fluids, International Journal of Heat and Mass Transfer, 7,3,315-325, 1964.

B. Sakiadis, Boundary‐Layer Behavior on Continuous Solid Surfaces: I. Boundary‐Layer Equations for Two‐Dimensional and Axisymmetric Flow, AIChE Journal, 7,1,26-28, 1961.

V. Fox, L. Erickson, L. Fan, Methods for Solving the Boundary Layer Equations for Moving Continuous Flat Surfaces With Suction and Injection, AIChE Journal, 14, 5, 726-736, 1968.

C.-H. Chen, Forced Convection over a Continuous Sheet with Suction or Injection Moving In a Flowing Fluid, Acta Mechanica, 138,1-2,1-11, 1999.

A. Jacobi, A Scale Analysis Approach to the Correlation of Continuous Moving Sheet (Backward Boundary Layer) Forced Convective Heat Transfer, Journal of Heat Transfer, 115,4,1058-1061, 1993.


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize