Free convective flow of non-Newtonian nanofluids in porous media with gyrotactic microorganism(Journal Thermophysics( 2013) 27:2( 326-333)10.2514/1.T3983));Free convective flow of non-newtonian nanofluids in porous media with gyrotactic microorganism

Journal of Thermophysics and Heat Transfer

Volumn 27, Issue 2, 2013, Pages 326-333

  Uddin, Md Jashim ^a,c   Khan, W A ^b   Md Ismail, A I ^a  

^a AMERICAN INTERNATIONAL UNIVERSITY BANGLADESH   (Bangladesh)

^b NATIONAL UNIVERSITY OF SCIENCES AND TECHNOLOGY   (Pakistan)

^c SCHOOL OF PHYSICS   (Malaysia)

Author keywords

[No Author keywords available]

Indexed keywords

LAMINAR BOUNDARY LAYER; LINEAR TRANSFORMATIONS; MASS TRANSFER; MATHEMATICAL TRANSFORMATIONS; MICROORGANISMS; NANOFLUIDICS; NANOPARTICLES; NATURAL CONVECTION; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; POROUS MATERIALS;

DIMENSIONLESS VELOCITY; GYROTACTIC MICROORGANISMS; HEAT AND MASS TRANSFER; NANOPARTICLE CONCENTRATIONS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; SIMILARITY TRANSFORMATION; STEADY LAMINAR BOUNDARY LAYERS; UNIFORM SURFACE TEMPERATURE;

NON NEWTONIAN FLOW;

EID: 84876400534     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/1.T4746     Document Type: Erratum

References (46)

1. Aziz, A., Khan, W. A., and Pop, I., "Free Convection Boundary Layer FlowPast a Horizontal Flat Plate Embedded in Porous Medium Filled by Nanofluid Containing Gyrotactic Microorganisms, " International Journal of Thermal Sciences, Vol. 56, No. 6, 2012, pp. 48-57. doi:10.1016/j.ijthermalsci.2012.01. 011
2. Nield, D. A., and Bejan, A., Convection in Porous Media, 3rd ed., Springer, New York, NY, 2006, pp. 121-150.
3. Vadasz, P., Emerging Topics in Heat and Mass Transfer in Porous Media, Springer, New York, NY, 2008, pp. 133-147.
4. Vafai, K., Porous Media: Applications in Biological Systems and Biotechnology, CRC Press, Boca Raton, FL, 2010, pp. 535-557.
5. Ellahi, R., Raza, M., andVafai, K., "Series Solutions of Non-Newtonian Nanofluids with Reynolds' Model and Vogel's Model by Means of the Homotopy Analysis Method, " Mathematic and Computer Modeling, Vol. 55, Nos. 7-8, 2012, pp. 1876-1891. doi:10.1016/j.mcm.2011.11.043
6. Zeeshan, A., Ellahi, R., Siddiqui, A. M., and Rahman, H. U., "An Investigation of Porosity and Magnetohydrodynamic Flow of Non-Newtonian Nanofluid in Coaxial Cylinders, " International Journal of Physical Sciences, Vol. 7, No. 9, 2012, pp. 1353-1361. doi:10.5897/IJPS11.1739
7. Khanafer, K., and Vafai, K., "A Critical Synthesis of Thermophysical Characteristics of Nanofluids, " International Journal of Heat and Mass Transfer, Vol. 54, Nos. 19-20, 2011, pp. 4410-4428. doi:10.1016/j. ijheatmasstransfer.2011.04.048
8. Kuznetsov, A. V., "Nanofluid Bio-Thermal Convection: Simultaneous Effects of Gyrotactic and Oxytactic Microorganisms, " Fluid Dynamic Research, Vol. 43, No. 5, 2011, p. 055505. doi:10.1088/0169-5983/43/5/055505
9. Abu-Nada, E., Masoud, F., Oztop, H. F., and Campo, A., "Effect of Nanofluid Variable Properties on Natural Convection in Enclosures, " International Journal of Thermal Sciences, Vol. 49, No. 3, 2010, pp. 479-491. doi:10.1016/j.ijthermalsci.2009.09.002
10. Kuznetsov, A. V., and Nield, D. A., "Natural Convective Boundary Layer Flow of a Nanofluid Past a Vertical Plate, " International Journal of Thermal Sciences, Vol. 49, No. 2, 2010, pp. 243-247. doi:10.1016/j. ijthermalsci.2009.07.015
11. Khan, W. A., and Aziz, A., "Natural Convection Flow of a Nanofluid over a Vertical Plate with Uniform Surface Heat Flux, " International Journal of Thermal Sciences, Vol. 50, No. 7, 2011, pp. 1207-1214. doi:10.1016/j.ijthermalsci.2011.02.015
12. Uddin, M. J., Khan, W. A., and Ismail, A. I. M., "Free Convection Boundary Layer Flow from a Heated Upward Facing Horizontal Flat Plate Embedded in a Porous Medium Filled by a Nanofluid with Convective Boundary Condition, " Transport in Porous Media, Vol. 92, No. 3, 2012, pp. 867-881. doi:10.1007/s11242-011-9938-z
13. Abu-Nada, E., and Chamkha, A., "Effect of Nanofluid Variable Properties on Natural Convection in Enclosures Filled with CuO-EG-Water Nanofluid, " International Journal of Thermal Sciences, Vol. 49, No. 12, 2010, pp. 2339-2352. doi:10.1016/j.ijthermalsci.2010.07.006
14. Aminossadati, S. M., and Ghasemi, B., "Natural Convection Cooling of a Localised Heat Source at the Bottom of a Nanofluid-Filled Enclosure, " European Journal of Mechanics, B: Fluids, Vol. 28, No. 5, 2009, pp. 630-640. doi:10.1016/j.euromechflu.2009.05.006
15. Ghasemi, B., and Aminossadati, S. M., "Brownian Motion of Nanoparticles in a Triangular Enclosure with Natural Convection, " International Journal of Thermal Sciences, Vol. 49, No. 6, 2010, pp. 931-940. doi:10.1016/j.ijthermalsci.2009.12.017
16. Ö?üt, E. B., "Natural Convection of Water-Based Nanofluid in an Inclined Enclosure with a Heat Source, " International Journal of Thermal Sciences, Vol. 48, No. 11, 2009, pp. 2063-2073. doi:10.1016/j. ijthermalsci.2009.03.014
17. Chamkha, A. J., and Aly, A. M., "MHD Free Convection Flow of a Nanofluid past a Vertical Plate in the Presence of Heat Generation or Absorption Effects, " Chemical Engineering Communication, Vol. 198, No. 3, 2011, pp. 425-441. doi:10.1080/00986445.2010.520232
18. Gorla, R. S. R., and Chamkha, A., "Natural Convective Boundary Layer Flow over a Nonisothermal Vertical Plate Embedded in a Porous Medium Saturated with a Nanofluid, " Nanoscale and Microscale Thermophysical Engineering, Vol. 15, No. 2, 2012, pp. 81-94. doi:10.4236/jmp.2011.22011
19. Niu, J., Fu, C., and Tan, W., "Slip-Flow and Heat Transfer of a Non-Newtonian Nanofluid in a Microtube, " PLoS One, Vol. 7, No. 5, 2012, p e37274. doi:10.1371/journal.pone.0037274
20. Gorla, R. S. R., and Chamkha, A., "Natural Convective Boundary Layer Flow over a Horizontal Plate Embedded in a Porous Medium Saturated with a Nanofluid, " Journal of Modern Physics, Vol. 2, No. 2, 2011, pp. 62-71. doi:10.4236/jmp.2011.22011
21. Tsai, T., Liou, D., Kuo, L., and Chen, P., "Rapid Mixing Between Ferro-Nanofluid and Water in a Semi-Active Y-Type Micromixer, " Sensors and Actuators A: Physical, Vol. 153, No. 2, 2009, pp. 267-273. doi:10.1016/j.sna. 2009.05.004
22. Shitanda, I., Yoshida, Y., and Tatsuma, T., "Microimaging of Algal Bioconvection by Scanning Electrochemical Microscopy, " Analytical Chemistry, Vol. 79, No. 11, 2007, pp. 4237-4240. doi:10.1021/ac070150t (Pubitemid 46903179)
23. Becker, S. M., Kuznetsov, A. V., and Avramenko, A. A., "Numerical Modeling of a Falling Bioconvection Plume in a Porous Medium, " Fluid Dynamics Research, Vol. 33, No. 5, 2004, pp. 323-339. doi:10.1016/j.fluiddyn. 2004.07.003 (Pubitemid 39347636)
24. Kuznetsov, A. V., "The Onset of Bioconvection in a Suspension of Gyrotactic Microorganisms in a Fluid Layer of Finite Depth Heated from Below, " International Communications in Heat and Mass Transfer, Vol. 32, No. 5, 2005, pp. 574-582. doi:10.1016/j.icheatmasstransfer.2004.10.021 (Pubitemid 40621084)
25. Kuznetsov, A.V., "Thermo-Bioconvection in a Suspension of Oxytactic Bacteria, " International Communications in Heat and Mass Transfer, Vol. 32, No. 8, 2005, pp. 991-999. doi:10.1016/j.icheatmasstransfer.2004.11.005 (Pubitemid 40960003)
26. Kuznetsov, A. V., "Investigation of the Onset of Thermo-Bioconvection in a Suspension of Oxytactic Microorganisms in a Shallow Fluid Layer Heated from Below, " Theoretical and Computational Fluid Dynamics, Vol. 19, No. 4, 2005, pp. 287-299. doi:10.1007/s00162-005-0167-3 (Pubitemid 41202958)
27. Kuznetsov, A. V., "The Onset of Thermo-Bioconvection in a Shallow Fluid Saturated Porous Layer Heated from Below in a Suspension of Oxytactic Microorganisms, " European Journal of Mechanics, B: Fluids, Vol. 25, No. 2, 2006, pp. 223-233. doi:10.1016/j.euromechflu.2005.06.003 (Pubitemid 43220272)
28. Kuznetsov, A. V., "The Onset of Nanofluid Bioconvection in a Suspension Containing both Nanoparticles and Gyrotactic Microorganisms, " International Communications in Heat and Mass Transfer, Vol. 37, No. 10, 2010, pp. 1421-1425. doi:10.1016/j.icheatmasstransfer.2010.08.015
29. Kuznetsov, A. V., "Non-Oscillatory and Oscillatory Nanofluid Bio-Thermal Convection in a Horizontal Layer of Finite Depth, " European Journal of Mechanics, B: Fluids, Vol. 30, No. 2, 2011, pp. 156-165. doi:10.1016/j.euromechflu.2010.10.007
30. Kuznetsov, A. V., and Avramenko, A. A., "Effect of Small Particles on the Stability of Bioconvection in a Suspension of Gyrotactic Microorganisms in a Layer of Finite Depth, " International Communications in Heat and Mass Transfer, Vol. 31, No. 1, 2004, pp. 1-10. doi:10.1016/S0735-1933(03)00196-9 (Pubitemid 38043240)
31. Avramenko, A. A., and Kuznetsov, A. V., "The Onset of Convection In A Suspension Of Gyrotactic Microorganisms In Superimposed Fluid And Porous Layers: Effect OfVertical Throughflow, " Transport Porous Media, Vol. 6, No. 2, 2006, pp. 159-176. doi:10.1007/s11242-005-6086-3 (Pubitemid 44756407)
32. Avramenko, A. A., and Kuznetsov, A. V., "Bio-Thermal Convection Caused by Combined Effects of Swimming of Oxytactic Bacteria and Inclined Temperature Gradient in a Shallow Fluid Layer, " International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 20, No. 2, 2010, pp. 157-173. doi:10.1108/09615531011016939
33. Geng, P., and Kuznetsov, A. V., "Effect of Small Solid Particles on the Development of Bioconvection Plumes, " International Communications in Heat and Mass Transfer, Vol. 31, No. 5, 2004, pp. 629-638. doi:10.1016/S0735- 1933(04)00050-8 (Pubitemid 38562742)
34. Geng, P., and Kuznetsov, A. V., "Settling of Bidispersed Small Solid Particles in a Dilute Suspension Containing Gyrotactic Microorganisms, " International Journal of Engineering Science, Vol. 43, Nos. 11-12, 2005, pp. 992-1010. doi:10.1016/j.ijengsci.2005.03.002 (Pubitemid 41145451)
35. Geng, P., and Kuznetsov, A. V., "Introducing the Concept of Effective Diffusivity to Evaluate the Effect of Bioconvection on Small Solid Particles, " International Journal of Transport Phenomena, Vol. 7, No. 4, 2005, pp. 321-338. (Pubitemid 43371891)
36. Kuznetsov, A. V., and Geng, P., "The Interaction of Bioconvection Caused by Gyrotactic Micro-Organisms and Settling of Small Solid Particles, " International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 15, No. 4, 2005, pp. 328-347. doi:10.1108/09615530510590597 (Pubitemid 40878199)
37. Hillesdon, A. J., and Pedley, T. J., "Bioconvection in Suspensions of Oxytactic Bacteria: Linear Theory, " Journal of Fluid Mechanics, Vol. 324, No. 10, 1996, pp. 223-259. doi:10.1017/S0022112096007902 (Pubitemid 126453654)
38. Kuznetsov, A. V., "Nanofluid Bioconvection: Interaction of Microorganisms' Oxytactic Upswimming, Nanoparticle Distribution, and Heating/Cooling from Below, " Theoretical and Computational Fluid Dynamics, Vol. 26, Nos. 1-4, 2012, pp. 291-310. doi:10.1007/s00162-011-0230-1
39. Bluman, G.W., and Anco, S. C., Symmetry and Integration Methods for Differential Equations, Springer, New York, 2009, pp. 163-200.
40. Kuznetsov, A. V., Avramenko, A. A., and Geng, P., "Analytical Investigation of a Falling Plume Caused by Bioconvection of Oxytactic Bacteria in a Fluid Saturated Porous Medium, " International Journal of Engineering Science, Vol. 42, Nos. 5-6, 2004, pp. 557-569. doi:10.1016/j.ijengsci.2003.08. 004
41. Aziz, A., Uddin, M. J., Hamad, M. A. A., and Ismail, A. I. M., "MHD Flow over an Inclined Radiating Plate with the Temperature-Dependent Thermal Conductivity, Variable Reactive Index, and Heat Generation, " Heat Transfer Asian Research, Vol. 41, No. 3, 2012, pp. 241-259. doi:10.1002/htj.20409
42. Khan, W. A., Uddin, M. J, and Ismail, A. I. Md., "Effect of Momentum Slip on Double-Diffusive Free Convective Boundary Layer Flow of a Nanofluid past a Convectively Heated Vertical Plate, " Journal of Nanoengineering and Nanosystems, Vol. 226, No. 3, Sept. 2012, pp. 99-109. doi:10.1177/ 1740349912452058
43. Seshadri, R., and Na, T. Y., Group Invariance in Engineering Boundary Value Problems, Springer, New York, 1985, pp. 35-60.
44. Na, T. Y., Computational Methods in Engineering Boundary Value Problems, Academic Press, New York, 1979.
45. Cantwell, B. J., Introduction to Symmetry Analysis, Cambridge Univ. Press, Cambridge, England, U.K., 2003, pp. 121-144.
46. Shang, D., Theory of Heat Transfer with Forced Convection Film Flows, Springer, New York, 2010, , pp. 39-47, Chap. 3.