Variable Viscosity of Casson Fluid Flow Over A Stretching Sheet in Porous Media with Newtonian Heating

Authors

  • Kartini Ahmad Department of Science in Engineering, Kulliyyah of Engineering, International Islamic University Malaysia, P.O. Box 10, 50728 Kuala Lumpur
  • Syafrina Abdul Halim Department of Science in Engineering, Kulliyyah of Engineering, International Islamic University Malaysia, P.O. Box 10, 50728 Kuala Lumpur
  • Zahir Hanouf Department of Mechanical Engineering, Kulliyyah of Engineering, International Islamic University Malaysia, 50728 Gombak, Kuala Lumpur

DOI:

https://doi.org/10.26713/jims.v10i1-2.630

Keywords:

Casson fluid, Stretching sheet, Newtonian heating, Variable viscosity

Abstract

Casson fluid flow with variable viscosity in porous media over a heated stretching sheet is investigated. The partial differential equations representing the flow motion are first transformed to ordinary differential equations by similarity transformation before being solved numerically by the finite-difference method. The effects of the viscosity variation parameter \((\Omega)\), the permeability number \((\kappa)\), Prandtl number \((Pr)\), Biot number \((Bi)\) and non-Newtonian fluid parameter \((\beta)\) on the fluid flow and heat transfer, along with the temperature and velocity profiles, are presented graphically for some arbitrary values.

Downloads

Download data is not yet available.

References

K. Ahmad, Z. Hanouf and A. Ishak, MHD Casson nanofluid flow past a wedge with Newtonian heating, Euro. Phys. J. Plus 132 (2017), 87 – 97.

K. Ahmad, R. Nazar and I. Pop, Boundary layer flows and heat transfer of micropolar fluids near the stagnation point on a stretching vertical surface with prescribed skin friction, International Journal of Minerals, Metallurgy and Materials 18 (2011), 4, 502 – 507.

K. Ahmad and Z.Wahid, Jeffrey fluid flow over a stretching sheet with non-uniform heat source/sink, Australian Journal of Basic and Applied Sciences (special issue) 9 (28) (2015), 32 – 38.

M.E. Ali, The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface, International Journal of Thermal Sciences 45 (2006), 60 – 69.

T. Cebeci and P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer, New York (1988).

R.C. Chaudhary and P. Jain, Unsteady free convection boundary-layer flow past an impulsively started vertical surface with Newtonian heating, Romanian Journal of Physics 51 (9/10) (2006), 911 – 925.

R.C. Chaudhary and P. Jain, An exact solution to the unsteady free convection boundary-layer flow past an impulsively started vertical surface with Newtonian heating, J. Eng. Phy. Thermophys 80 (2007), 954 – 960.

T.C. Chiam, Micropolar fluid flow over a stretching sheet, ZAMM - Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik 62(10) (1982), 565 – 568.

R. Cortell, A note on magnetohydrodynamic flow of a power-law fluid over a stretching sheet, Applied Mathematics and Computation 168(1) (2005), 557 – 566.

L.J. Crane, Flow past a stretching plate, Zeitschrift für angewandte Mathematik und Physik ZAMP 21(4) (1970), 645 – 647.

J. Gary, D.R. Kassory, H. Tadjeran and A. Zebib, The effect of significant viscosity variation on convective heat transport in water-saturated porous media, J. Fluid Mech. 117 (1982), 233 – 249.

H. Herwig and K. Gersten, The effect of variable properties on laminar boundary layer flow, Wärmeund Stoffübertragung 20 (1986), 47 – 57.

L.C. Lai and F.A. Kulacki, The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium, Int. J. Heat Mass Transfer 33 (1990), 1028 – 1031.

A.I. Lare, Casson fluid flow with variable viscosity and thermal conductivity along exponentially stretching sheet embedded in a thermally stratified medium with exponentially heat generation, Journal of Heat and Mass Transfer Research 2(2) (2015), 63 – 78.

M. Lavanya, M. Sreedhar Babu and G. , M., Venkata Ramanaiah, G., 2016, Heat transfer of nanofluid past an exponentially permeable stretching sheet with heat generation and Newtonian heating in a porous medium, International Journal of Innovative Research and Development 5 (1), 318 – 329.

J.X. Ling and A. Dybbs, Forced convection over a flat plate submersed in a porous medium: variable viscosity case, American Society of Mechanical Engineers (1987), 13 – 18.

M.A.A. Mahmoud, The effects of variable fluid properties on MHD Maxwell fluids over a stretching surface in the presence of heat generation/absorption, Chemical Engineering Communications 198(1) (2010), 131 – 146.

O.D. Makinde, Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating, Entropy 13(8) (2011), 1446 – 1464.

M.Y. Malik, M. Khan, T. Salahuddin and I. Khan, Variable viscosity and MHD flow in Casson fluid with Cattaneo-Christov heat flux model: Using Keller box method, Engineering Science and Technology, an International Journal 19(4) (2016), 1985 – 1992.

A. Mastroberardino, Mixed convection in viscoelastic boundary layer flow and heat transfer over a stretching sheet, Adv. Appl. Math. Mech. 6 (2014), 359 – 375.

J.B. McLeod and K.R. Rajagopal, On the uniqueness of flow of a Navier-Stokes fluid due to a stretching boundary, Analysis and Continuum Mechanics 1989 (1989), 565 – 573.

K.N. Mehta and S. Sood, Transient free convection flow with temperature dependent viscosity in a fluid saturated porous medium, Int. J. Engrg. Sci. 30 (1992), 1083 – 1087.

J.H. Merkin, R. Nazar and I. Pop, The development of forced convection heat transfer near a forward stagnation point with Newtonian heating, J. Eng. Math. 74 (2012), 53 – 60.

M.K.A. Mohamed, N.M. Nasir, N.S. Khasi'ie, R. Jusoh, N.H. Moslim, E.M. Zaihidee and M.Z. Salleh, Numerical investigation of stagnation point flow over a stretching sheet with Newtonian heating, AIP Conference Proceedings 1482(1) (2012), 347 – 350.

P.V. Narayana, D. Babu and B. Venkateswarlu, Soret and Dufour effects on MHd radiative heat and mass transfer flow of a Jeffrey fluid over a stretching sheet, Frontiers in Heat and Mass Transfer 8(5) (2017), 1 – 9.

P.O. Olanrewaju, T.A. Anake, O.T. Arulogun, D.A. Ajadi, Further results on the effects of variable viscosity and magnetic field on flow and heat transfer to a continuous flat plate in the presence of heat generation and radiation with a convective boundary condition, American Journal of Computational and Applied Mathematics 2(2) (2012), 42 – 48.

B.N. Rao, Flow of a fluid of second grade over a stretching sheet, International Journal of non-Linear Mechanics 31(4) (1996), 547 – 550.

A. Rasekh, M. Farzaneh-Gord, S.R. Varedi, D.D. Ganji, Analytical solution for magnetohydrodynamic stagnation point flow and heat transfer over a permeable stretching sheet with chemical reaction, Journal of Theoretical and Applied Mechanics 51(3) (2013), 675 – 686.

M. Reza, R. Chahal and N. Sharma, Radiation effect on MHD Casson fluid flow over a power-law stretching sheet with chemical reaction, World Academy of Science, Engineering and Technology, International Journal of Chemical, Molecular, Nuclear, Materials and Metallurgical Engineering 10(5) (2016), 566 – 571.

M.Z. Salleh, R. Nazar and I. Pop, Forced convection boundary layer flow at a forward stagnation point with Newtonian heating, Chem. Eng. Comm. 196 (2009), 987 – 996.

N.M. Sarif, M.Z. Salleh and R. Nazar, Numerical solution of flow and heat transfer over a stretching sheet with Newtonian heating using the Keller-box method, Procedia Engineering 53 (2013), 542 – 554.

M. Uddin, O.A. Bég, W.A. Khan and A.I. Ismail, Effect of Newtonian heating and thermal radiation on heat and mass transfer of nanofluids over a stretching sheet in porous media, Heat Transfer” Asian Research 44(8) (2015), 681 – 695.

S.S. Uma Devi and S.P. Anjali Devi, Numerical investigation of three-dimensional hybrid Cu–Al2O3/water nanofluid flow over a stretching sheet with effecting Lorentz force subject to Newtonian heating, Canadian Journal of Physics 94(5) (2016), 490 – 496.

K. Vajravelu and D. Rollins, Heat transfer in a viscoelastic fluid over a stretching sheet, Journal of Mathematical Analysis and Applications 158(1) (1991), 241 – 255.

Downloads

Published

2018-08-10
CITATION

How to Cite

Ahmad, K., Halim, S. A., & Hanouf, Z. (2018). Variable Viscosity of Casson Fluid Flow Over A Stretching Sheet in Porous Media with Newtonian Heating. Journal of Informatics and Mathematical Sciences, 10(1-2), 359–370. https://doi.org/10.26713/jims.v10i1-2.630

Issue

Vol. 10 No. 1-2 (2018)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.