THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

online first only

The motion of a non-Newtonian nanofluid over a semi-infinite moving vertical plate through porous medium with heat and mass transfer

ABSTRACT
The motion of a non-Newtonian nanofluid over a semi-infinite moving vertical plate through porous medium stressed by an external uniform magnetic field with heat and mass transfer is investigated. The fluid under consideration obeys Eyring-Powell model. The effects of the physical parameters of the problem such as, permeability, chemical reaction as well as the fluid material parameters such as Hartmann number, Eckert number and Reynolds number are discussed. The effects of external cooling (Gr > 0) of the plate by the free convection are considered. Graphical results are presented to highlight effects of various emerging parameters on velocity, temperature and concentration profiles.
KEYWORDS
PAPER SUBMITTED: 2018-06-04
PAPER REVISED: 2019-01-20
PAPER ACCEPTED: 2019-01-20
PUBLISHED ONLINE: 2019-02-17
DOI REFERENCE: https://doi.org/10.2298/TSCI180604021E
REFERENCES
  1. Maxwell, J.C., Electricity and Magnetism, Clarendon Press, (1873)Oxford, UK
  2. KakaƧ S., Pramuanjaroenkij A., Int. J. Heat Mass Transf ,52, (13-14), (2009) pp.3187-3196
  3. Muthtamilselvan M., Commun. Nonlinear Sci. Numer. Simul, 15 (2010) pp. 1501-1510
  4. Choi S.U.S., Enhancing thermal conductivity of fluids with nanoparticles, Proceedings of the ASME International Mechanical Engineering Congress and Exposition, Vol. 66, (1995), pp. 99-105
  5. Eastman J.A., et al., Thompson, Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles, Appl. Phys. Lett. 78 (2001) , pp.718-720
  6. Eldabe N.T.M., et al., Peristaltic transport of magneto-hydrodynamic carreau nanofluid with heat and mass transfer inside asymmetric channel. Am J Comput Math, (2017) , 7, pp.1-20
  7. EldabeN.T.M., et al., Magnetohydrodynamic peristaltic flow of Jeffry nanofluid with heat transfer through a porous medium in a vertical tube,Appl Math Inf Sci(2017) ,11,(4) ,pp.1097- 1103
  8. EldabeN.T.M., et al., Magnetohydrodynamic peristaltic flow with heat and mass transfer of micropolar biviscosity fluid through a porous medium between two co-axial tubes, Arab J. Sci. Eng, 39, (2014) , pp.5045-5062
  9. Eldabe N.T.M., et al., Two dimensional boundary layer flow with heat and mass transfer of magneto hydrodynamic non-Newtonian nanofluid through porous medium overa semi-infinite moving plate, Microsystem Technologies ,(2018)doi.org/10.1007/s00542-018-3717-5123456789
  10. Venkateswarlu, M., et al., Effects of chemical reaction andheat generation onMHD boundary layer flow of a moving vertical plate withsuction and dissipation. Eng Int (2013), 1
  11. Reddy G.V.R., et al., Similarity transformations heat and mass transfer effects on steady MHD free convection dissipative fluid flow past an inclined porous surface with chemical reaction,J Naval Archit Mar Eng (2014), dx.doi.org/10.3329/jname.v11i2.18313.
  12. Malik M.Y., Rehman K.U., Effects of second order chemical reaction on MHD free convection dissipative fluid flow past an inclined porous surface by way of heat generation: a Lie group analysis. Inf Sci Lett (2016); 5 pp: 35-45
  13. Nayak M.K., et al., Heat and mass transfer effects on MHD viscoelastic fluid over a stretching sheet through porous medium in presence of chemical reaction, Propul Power Res (2016),5 pp:70-80
  14. Eid M.R., Chemical reaction effect on MHD boundary-layer flow of two-phasenanofluid model over an exponentially stretching sheet with a heat generation.J Mol Liq(2016), 220:7, pp.18-25
  15. Seth G.S., et al., Natural convection heat and mass transfer flow with Hall current, rotation, radiation and heat absorption past an accelerated moving vertical plate with ramped temperature, Journal of Applied Fluid Mechanics, 8 (1), (2015), pp. 7-20
  16. Seth G.S., et al., MHD natural convection heat and mass transfer flow past a time dependent moving vertical plate with ramped temperature in a rotating medium with Hall effects, radiation and chemical reaction, Journal of Mechanics, 31, (2015), pp. 91- 104
  17. Seth G.S., et al., Effects of Hall current and rotation on unsteady MHD natural convection flow with heat and mass transfer past an impulsively moving vertical plate in the presence of radiation and chemical reaction, Bulgarian Chemical Communications, 46 (4), (2014), pp. 704-718
  18. Rashidi M. M., et al., Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation, J. Mol. Liq.198 (2014)234-238.
  19. Gupta A.S., et al., Free convection effects on the flow past an accelerated vertical plate in an incompressible dissipative fluid. Rev. Roum. Sci. Techn.- Mec. Apl ,24, (1979) ,pp: 561-568
  20. Kafousias N.G., Rapits A.A., Mass Transfer and free convection effects on the flow past an accelerated vertical infinite plate with variable suction or injection. Rev. Roum. Sci. Techn.- Mec. Apl ,(1981) ,26 , pp.11-22
  21. Rapits A.A., Hydromagnetic free convection flow past an accelerated vertical infinite plate withvariable suction and heat flux ,Letters in Heat and Mass transfer(1981) ,8, pp. 137-143
  22. Soundalgekar,V.M., et al., Free convection effects on the MHD Stokes problem for a vertical plate, Nucl. Eng. Des.,, 1979 ,51, pp. 403-407
  23. O. Aydin, A. Kaya, MHD mixed convection of a viscous dissipating fluid about a permeable vertical flat plate, Appl. Math. Model., 33 ,11, (2009), pp. 4086-4096
  24. Tripathy R.S., et al., Chemical reaction effect on MHD free convective surface over a moving vertical plate through porous medium, Alexandria Engineering Journal. 54,(2015),pp. 673-679
  25. Turkyilmazoglu ,M., The analytical solution of Mixed convection heat transfer and fluid flow of a MHD viscoelastic fluid over a permeable stretching surface, International Journal of Mechanical Sciences,(2013),77, pp. 263 -268
  26. Powell R.E, et al, Mechanism for the relaxation theory of viscosity, Nature, 154, pp.427-428(1944).
  27. Hayat T., et al., Steady Flow of an Eyring Powell Fluid over a Moving Surface with Convective Boundary Conditions, International Journal of Heat and Mass Transfer, 55,(2012), pp. 1817-1822
  28. Reddy M.G, Scaling Transformation for Heat and Mass Transfer Effects on Steady MHD Free Convection Dissipative Flow Past an Inclined Porous Surface, International Journal Applied Mathematics Mechanics. 9, (2013), pp. 1-18
  29. Singh, G., et al , Effects of Ohmic Heating and Viscous Dissipation on Steady MHD Flow Near a Stagnation Point on an Isothermal Stretching Sheet, Thermal Science, 13 (2009), 1, pp. 5-12
  30. Ghani, F., et al.: Unsteady Magnetohydrodynamics Thin Film Flow of a third grade fluid over an oscillating in-clined belt embedded in a porous medium ,Thermal Science, 2016, No. 5, pp. 875-887
  31. Hayat, T., et al.: Magnetohydrodynamic Flow of Powell-Eyring Fluid by by a stretching cylinder with Newtonian heating, Thermal Science, 2018, Vol. 22, No. 1B, pp. 371-382