Effect of dissipation on free convective flow of a non-Newtonian nanofluid in a porous medium with gyrotactic microorganisms

Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems

Volumn 227, Issue 1, 2013, Pages 11-18

  Uddin, Mohammad J ^a,b   Khan, Waqar A ^c   Ismail, Ahmad I ^a  

^a SCHOOL OF PHYSICS   (Malaysia)

^b AMERICAN INTERNATIONAL UNIVERSITY BANGLADESH   (Bangladesh)

^c NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY   (Pakistan)

Author keywords

Bioconvection; Free convection; Gyrotactic microorganisms; Non Newtonian nanofluid; Porous medium

Indexed keywords

BIOCONVECTION; CONVECTIVE BOUNDARY LAYERS; GYROTACTIC MICROORGANISMS; ISOTHERMAL VERTICAL FLAT PLATE; NANOFLUIDS; NANOPARTICLE VOLUME FRACTIONS; POROUS MEDIUM; SIMILARITY TRANSFORMATION;

BOUNDARY LAYER FLOW; HEAT TRANSFER; MICROORGANISMS; NANOPARTICLES; NATURAL CONVECTION; NON NEWTONIAN FLOW; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POROUS MATERIALS;

NANOFLUIDICS;

EID: 84879303248     PISSN: 17403499     EISSN: 20413092     Source Type: Journal    
DOI: 10.1177/1740349912461221     Document Type: Article

References (30)

1. Ellahi R, Raza M and Vafai K. Series solutions of non-Newtonian nanofluids with Reynolds' model and Vogel's model by means of the homotopy analysis method. Math Comput Model 2012;55(7-8):1876-1891.
2. Shenoy AV. Non-Newtonian fluid heat transfer in porous media. In: Young I. Cho and George A. Greene (eds) Advances in heat transfer. New York: Academic Press, 1994, pp. 101-190.
3. Vafai K. Porous media: applications in biological systems and biotechnology. New York: CRC Press, 2010.
4. Zeeshan A, Ellahi R, Siddiqui AM, et al. An investigation of porosity and magnetohydrodynamic flow of non-Newtonian nanofluid in coaxial cylinders. Int J Phys Sci 2012;7(9):1353-1361.
5. Buongiorno J and Hu W. Nanofluid coolants for advanced nuclear power plants. In: Proceedings of ICAPP'05, Seoul, Korea, 15-19 May 2005, paper no. 5705. La Grange Park, IL: American Nuclear Society.
6. Kleinstreuer C, Li J and Koo J. Microfluidics of nanodrug delivery. Int J Heat Mass Tran 2008;51:5590-5597.
7. Wang XQ and Mujumdar AS. A review on nanofluids - part I: theoretical and numerical investigations. Braz J Chem Eng 2008;25:613-630.
8. Khanafer K and Vafai K. A critical synthesis of thermophysical characteristics of nanofluids. Int J Heat Mass Tran 2011;54(19-20):4410-4428.
9. Vadasz P. Emerging topics in heat and mass transfer in porous media. New York: Springer, 2008.
10. Tsai T, Liou D, Kuo L, et al. Rapid mixing between ferro-nanofluid and water in a semi-active Y-type micromixer. Sensor Actuat A: Phys 2008;153(2):267-273.
11. Shitanda I, Yoshida Y and Tatsuma T. Microimaging of algal bioconvection by scanning electrochemical microscopy. Anal Chem 2007;79(11):4237-4240.
12. Kuznetsov AV. The onset of bioconvection in a suspension of gyrotactic microorganisms in a fluid layer of finite depth heated from below. Int Commun Heat Mass 2005;32(5):574-582.
13. Kuznetsov AV. 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-Fluid 2006;25(2):223-233.
14. Geng P and Kuznetsov AV. Effect of small solid particles on the development of bioconvection plumes. Int Commun Heat Mass 2004;31:629-638.
15. Kuznetsov AV. Non-oscillatory and oscillatory nanofluid bio-thermal convection in a horizontal layer of finite depth. Eur J Mech B-Fluid 2011;30(2):156-165.
16. Kuznetsov AV and Avramenko AA. Effect of small particles on the stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth. Int Commun Heat Mass 2004;31:1-10.
17. Avramenko AA and Kuznetsov AV. The onset of convection in a suspension of gyrotactic microorganisms in superimposed fluid and porous layers: effect of vertical throughflow. Transport Porous Med 2006;6(2):159-176.
18. Avramenko AA and Kuznetsov AV. Bio-thermal convection caused by combined effects of swimming of oxytactic bacteria and inclined temperature gradient in a shallow fluid layer. Int J Numer Method H 2010;20(2):157-173.
19. Hillesdon AJ and Pedley TJ. Bioconvection in suspensions of oxytactic bacteria: linear theory. J Fluid Mech 1996;324:223-259.
20. Kuznetsov AV. Nanofluid bioconvection: interaction of microorganisms' oxytactic upswimming, nanoparticle distribution, and heating/cooling from below. Theor Comp Fluid Dyn 2010;26(1-4):291-310.
21. Kuznetsov AV. The onset of nanofluid bioconvection in a suspension containing both nanoparticles and gyrotactic microorganisms. Int Commun Heat Mass 2010;37:1421-1425.
22. Kuznetsov AV. Nanofluid bioconvection in a horizontal fluid-saturated porous layer. J Porous Media 2012;15(1):11-27.
23. Kuznetsov AV. Nanofluid bioconvection in porous media: oxytactic microorganisms. J Porous Media 2012;15(3):233-248.
24. Gebhart B. Effect of dissipation in natural convection. J Fluid Mech 1962;14:225-232.
25. Fand RM, Steinberger TE and Cheng P. Natural convection heat transfer from a horizontal cylinder embedded in a porous medium. Int J Heat Mass Tran 1986;29:119-133.
26. Mahajan R and Gebhart B. Viscous dissipation effects in buoyancy induced flows. Int J Heat Mass Tran 1989;32(7):1380-1382.
27. Nakayama A and Pop I. Free convection over a nonisothermal body in a porous medium with viscous dissipation fiber beds. Int Commun Heat Mass 1989;16:173-180.
28. El-Amin MF, El-Hakiem MA and Mansour MA. Effect of viscous dissipation on a power-law fluid over plate embedded in a porous medium. Heat Mass Transfer 2003;39:807-813.
29. Aziz A, Khan WA and Pop I. Free convection boundary layer flow past a horizontal flat plate embedded in porous medium filled by nanofluid containing gyrotactic microorganisms. Int J Therm Sci 2012;56:48-57.
30. Nield DA and Kuznetsov AV. The Cheng-Minkowycz problem for natural convective boundary layer flow in a porous medium saturated by a nanofluid. Int J Heat Mass Tran 2009;52:5792-5795.