MHD boundary layer flow of a nanofluid containing gyrotactic microorganisms past a vertical plate with Navier slip

International Journal of Heat and Mass Transfer

Volumn 74, Issue , 2014, Pages 285-291

  Khan, W A ^a   Makinde, O D ^b   Khan, Z H ^c,d  

^a NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY   (Pakistan)

^b CAPE PENINSULA UNIVERSITY OF TECHNOLOGY   (South Africa)

^c PEKING UNIVERSITY   (China)

^d UNIVERSITY OF MALAKAND   (Pakistan)

Author keywords

Bioconvection; Boundary layer; Gyrotactic microorganisms; MHD; Nanofluid; Navier slip

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MICROORGANISMS; NONLINEAR EQUATIONS;

BIOCONVECTION; DIMENSIONLESS TEMPERATURES; GYROTACTIC MICROORGANISMS; NANOFLUIDS; NANOPARTICLE CONCENTRATIONS; NAVIER SLIP; NONLINEAR MODEL EQUATIONS; OBERBECK-BOUSSINESQ APPROXIMATION;

NANOFLUIDICS;

EID: 84898659690     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2014.03.026     Document Type: Article

References (33)

1. E.M. Sparrow, and R.D. Cess Effect of magnetic field on free convection heat transfer Int. J. Heat Mass Transfer 3 1961 267 270
2. S.M.M. EL-Kabeir, A.M. Rashad, and R.S.R. Gorla Unsteady MHD combined convection over a moving vertical sheet in a fluid saturated porous medium with uniform surface heat flux Math. Comput. Model. 46 2007 384 397 (Pubitemid 46702457)
3. O.D. Makinde, and P.Y. Mhone On temporal stability analysis for hydromagnetic flow in a channel filled with a saturated porous medium Flow Turbul. Combust. 83 2009 21 32
4. O.D. Makinde On MHD boundary-layer flow and mass transfer past a vertical plate in a porous medium with constant heat flux Int. J. Numer. Methods Heat Fluid Flow 19 34 2009 546 554
5. M.J. Uddin, W.A. Khan, and A.I. Ismail MHD free convective boundary layer flow of a nanofluid past a flat vertical plate with Newtonian heat boundary condition PLoS One 7 2012 11
6. O.D. Makinde, W.A. Khan, and Z.H. Khan Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet Int. J. Heat Mass Transfer 62 2013 526 533
7. A.M. Olanrewaju, and O.D. Makinde On boundary layer stagnation point flow of a nanofluid over a permeable flat surface with Newtonian heating Chem. Eng. Commun. 200 6 2013 836 852
8. A.V. Kuznetsov, and D.A. Nield Double-diffusive natural convective boundary layer flow of a nanofluid past a vertical surface Int. J. Therm. Sci. 50 2011 712 717
9. A.V. Kuznetsov, and D.A. Nield Natural convective boundary-layer flow of a nanofluid past a vertical plate Int. J. Therm. Sci. 49 2010 243 247
10. A.V. Kuznetsov Bio-thermal convection induced by two different species of microorganisms Int. Commun. Heat Mass Transfer 38 5 2011 548 553
11. A.V. Kuznetsov The onset of thermo-bioconvection in a shallow fluid saturated porous layer heated from below in a suspension of oxytactic microorganisms Eur. J. Mech. - B/Fluids 25 2 2006 223 233 (Pubitemid 43220272)
12. N.A. Hill, and T.J. Pedley Bioconvection Fluid Dyn. Res. 37 1/2 2005 1 20 (Pubitemid 40829305)
13. D.A. Nield, and A.V. Kuznetsov The onset of bio-thermal convection in a suspension of gyrotactic microorganisms in a fluid layer: oscillatory convection Int. J. Therm. Sci. 45 10 2006 990 997 (Pubitemid 44128898)
14. A.A. Avramenko, and A.V. Kuznetsov Stability of a suspension of gyrotactic microorganisms in superimposed fluid and porous layers Int. Commun. Heat Mass Transfer 31 8 2004 1057 1066 (Pubitemid 39308122)
15. Z. Alloui, T.H. Nguyen, and E. Bilgen Numerical investigation of thermo-bioconvection in a suspension of gravitactic microorganisms Int. J. Heat Mass Transfer 50 7/8 2007 1435 1441
16. A.J. Hillesdon, T.J. Pedley, and J.O. Kessler The development of concentration gradients in a suspension of chemotactic bacteria Bull. Math. Biol. 57 1995 299 344
17. A.J. Hillesdon, and T.J. Pedley Bioconvection in suspensions of oxytactic bacteria: linear theory J. Fluid Mech. 324 1996 223 259 (Pubitemid 126453654)
18. S. Childress, M. Levandowsky, and E.A. Spiegel Pattern formation in a suspension of swimming microorganisms - equations and stability theory J. Fluid Mech. 69 1975 591 613
19. T.J. Pedley, N.A. Hill, and J.O. Kessler The growth of bioconvection patterns in a uniform suspension of gyrotactic microorganisms J. Fluid Mech. 195 1988 223 237
20. N.A. Hill, T.J. Pedley, and J.O. Kessler Growth of bioconvection patterns in a suspension of gyrotactic microorganisms in a layer of finite depth J. Fluid Mech. 208 1989 509 543 (Pubitemid 20622704)
21. A.M. Spormann Unusual swimming behaviour of a magneto tactic bacterium FEMS Microbiol. Ecol. 45 1987 37 45 (Pubitemid 17028670)
22. A.V. Kuznetsov The onset of nanofluid bioconvection in a suspension containing both nanoparticles and gyrotactic microorganisms Int. Commun. Heat Mass Transfer 37 10 2010 1421 1425
23. A.V. Kuznetsov Nanofluid bioconvection in water-based suspensions containing nanoparticles and oxytactic microorganisms: oscillatory instability Nanoscale Res. Lett. 6 2011 100
24. A.V. Kuznetsov Non-oscillatory and oscillatory nanofluid bio-thermal convection in a horizontal layer of finite depth Eur. J. Mech. - B/Fluids 30 2011 156 165
25. A. Aziz, W.A. Khan, and I. Pop Free convection boundary layer flow past a horizontal flat plate embedded in porous medium filled by nanofluid containing gyrotactic microorganisms Int. J. Therm. Sci. 56 2012 48 57
26. J. Buongiorno Convective transport in nanofluids J. Heat Transfer 128 2006 240 250
27. A.S. Eegunjobi, and O.D. Makinde Combined effect of buoyancy force and Navier slip on entropy generation in a vertical porous channel Entropy 14 2012 1028 1044
28. O.D. Makinde Computational modelling of MHD unsteady flow and heat transfer over a flat plate with Navier slip and Newtonian heating Braz. J. Chem. Eng. 29 1 2012 159 166
29. P. Huang, and K.S. Breuer Direct measurement of slip length in electrolyte solutions Phys. Fluids 19 2007 028104
30. R. Pit, H. Hervet, and L. Leger Direct experimental evidence of slip in hexadecane: solid interfaces Phys. Rev. Lett. 85 2000 980 983
31. C.L.M.H. Navier Mémoire sur les lois du mouvement des fluides Mém. Acad. R. Sci. Inst. France 6 1823 389 440
32. T.Y. Na Computational Methods in Engineering Boundary Value Problems 1979 Academic Press New York
33. A. Bejan Convection Heat Transfer 1984 Wiley New York, NY