Thermal instability of a nanofluid saturating a rotating anisotropic porous medium

Special Topics and Reviews in Porous Media

Volumn 2, Issue 1, 2011, Pages 53-64

  Agarwal, Shilpi ^a   Bhadauria, B S ^a   Siddheshwar, P G ^b  

^a BANARAS HINDU UNIVERSITY   (India)

^b BANGALORE UNIVERSITY   (India)

Author keywords

Anisotropy; Instability; Nanofluid; Natural convection; Porous medium; Rotation; Taylor number

Indexed keywords

ANISOTROPIC POROUS MEDIUM; BROWNIAN MOTION; CRITICAL RAYLEIGH NUMBER; DARCY MODEL; INSTABILITY; LIMITING CASE; NANO-FLUID; NON-DIMENSIONAL PARAMETERS; POROUS LAYERS; POROUS MEDIUM; STATIONARY MODES; TAYLOR NUMBER; THERMAL INSTABILITIES;

ANISOTROPIC MEDIA; ANISOTROPY; BROWNIAN MOVEMENT; LINEAR STABILITY ANALYSIS; POROUS MATERIALS; ROTATION; THERMODYNAMIC STABILITY;

NANOFLUIDICS;

EID: 79955072976     PISSN: 21514798     EISSN: 2151562X     Source Type: Journal    
DOI: 10.1615/SpecialTopicsRevPorousMedia.v2.i1.60     Document Type: Article

References (35)

1. Bhadauria, B. S., Double diffusive convection in a rotating porous layer with modulated temperature on the boundaries, J. Porous Media, vol. 10, no. 6, pp. 569-584, 2007a.
2. Bhadauria, B. S., Fluid convection in a rotating porous layer under modulated temperature on the boundaries, Transp. Porous Media, vol. 67, no. 2, pp. 297-315, 2007b. (Pubitemid 46403971)
3. Bhadauria, B. S., Effect of temperature modulation on Darcy convection in a rotating porous medium, J. Porous Media, vol. 11, no. 4, pp. 361-375, 2008. (Pubitemid 351239109)
4. Bhadauria, B. S. and Suthar, O. P., Effect of thermal modulation on the onset of centrifugally driven convection in a rotating vertical porous layer placed far away from the axis of rotation, J. Porous Media, vol. 12, no. 3, pp. 239-252, 2008.
5. Buongiorno, J., Convective transport in nanofluids, ASME J. Heat Transfer, vol. 128, pp. 240-250, 2006.
6. Buongiorno, J. and Hu, W., Nanofluid coolant for advanced nuclear power plants, Proc. ICAPP'05, Seoul, May 15-19, Paper No. 5705, 2005.
7. Chakrabarti, A. and Gupta, A. S., Nonlinear thermohaline convection in a rotating porous medium, Mech. Res. Commun., vol. 8, pp. 9-22, 1981.
8. Choi, S., Enhancing thermal conductivity of fluids with nanoparticles, in Development and Applications of Non-Newtonian Flows, eds. Siginer, D. A. and Wang, H. P., New York: American Society of Mechanical Engineers, pp. 99- 105, 1995.
9. Das, S. K., Putra, N., Thiesen, P., and Roetzel, W., Temperature dependence of thermal conductivity enhancement for nanofluids, ASME J. Heat Transfer, vol. 125, pp. 567-574, 2003. (Pubitemid 37078524)
10. Desaive, Th., Hennenberg, M., and Lebon, G., Thermal instability of a rotating saturated porous medium heated from below and submitted to rotation, Eur. Phys. J. B, vol. 29, pp. 641- 647, 2002. (Pubitemid 135695518)
11. Eastman, J. A., Choi, S. U. S., Yu, W., and Thompson, L. J., Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles, Appl. Phys. Lett., vol. 78, pp. 718-720, 2001. (Pubitemid 33630327)
12. Eastman, J. A., Choi, S. U. S., Yu, W., and Thompson, L. J., Thermal transport in nanofluids, Annu. Rev. Mater. Res., vol. 34, pp. 219-246, 2004.
13. Keblinski, P. and Cahill, D. G., Comments on model for heat conduction in nanofluids, Phys. Rev. Lett., vol. 95, p. 209401, 2005.
14. Kleinstreuer, C., Li, J., and Koo, J., Microfluidics of nano-drug delivery, Int. J. Heat Mass Transfer, vol. 51, pp. 5590-5597, 2008.
15. Kuznetsov, A. V. and Avramenko, A. A., Effect of small particles on the stability of bioconvection in a suspension of gyrotactic micreoorganisms in a layer of finite length, Int. Commun. Heat Mass Transfer, vol. 31, pp. 1-10, 2004. (Pubitemid 38043240)
16. Kuznetsov, A. V. and Nield, D. A., Thermal instability in a porous medium layer saturated by a nanofluid: Brinkman Model, Transp. Porous Media, vol. 81, pp. 409-422, 2010a.
17. Kuznetsov, A. V. and Nield, D. A., Effect of local thermal nonequilibrium on the onset of convection in porous medium layer saturated by a nanofluid, Transp. Porous Media, vol. 83, pp. 425-436, 2010b.
18. Maharaj, Y. and Saneshan, G., Effect of Darcy-Prandtl number on the linear stability of stationary convection in rotating mushy layers, J. Porous Media, vol. 8, no. 3, pp. 271-280, 2005. (Pubitemid 41228988)
19. Masuda, H., Ebata, A., Teramae, K., and Hishinuma, N., Alteration of thermal conductivity and viscosity of liquid by dispersing ultra fine particles, Netsu Bussei, vol. 7, pp. 227-233, 1993.
20. Nield, D. A. and Bejan, A., Convection in Porous Media, 3rd ed., New York: Springer, 2006.
21. Nield, D. A. and Kuznetsov, A. V., Thermal instability in a porous medium layer saturated by nonofluid, Int. J. Heat Mass Transfer, vol. 52, pp. 5796-5801, 2009.
22. Patil, P. R. and Vaidyanathan, G., On setting up of convective currents in a rotating porous medium under the influence of variable viscosity, Int. J. Eng. Sci., vol. 21, pp. 123-130, 1983. (Pubitemid 13474988)
23. Patil, P. R., Parvathy, C. P., and Venkatakrishnan, K. S., Effect of rotation on the stability of a doubly diffusive fluid layer in a porous medium, Int. J. Heat Mass Transfer, vol. 33, no. 6, pp. 1073-1080, 1990. (Pubitemid 20735913)
24. Pearlstein, A. J., Effect of rotation on the stability of a doubly diffusive fluid layer, J. Fluid Mech., vol. 103, pp. 389-412, 1981.
25. Qin, Y. and Kaloni, P. N., Nonlinear stability problem of a rotating porous layer, Q. Appl. Math., vol. 53, pp. 129-142, 1995.
26. Rajagopal, K. R., Saccomandi, G., and Vergori, L., A systematic approximation for the equations governing convectiondiffusion in a porous medium, Nonlinear Anal.: Real World Appl., vol. 11, pp. 2366-2375, 2010.
27. Riahi, D., Flow Instabilities in a horizontal dendrite layer rotating about an inclined axis, J. Porous Media, vol. 8, no. 3, pp. 327-342, 2005. (Pubitemid 41228992)
28. Rudraiah, N. and Siddheshwar, P. G., A weak nonlinear stability analysis of double diffusive convection with cross diffusion in a fluid-saturated porous medium, Heat Mass Transfer, vol. 33, pp. 287-293, 1998. (Pubitemid 128441507)
29. Saneshan, G., Effect of anisotropy on stability of convection in a rotating porous layer distant from the center of rotation, J. Porous Media, vol. 9, no. 7, pp. 651-662, 2006.
30. Saneshan, G., Linear stability of solutal convection in a rotating solidifying mushy layers: Permeable mush-melt interface, J. Porous Media, vol. 11, no. 7, pp. 683-690, 2008.
31. Tzou, D. Y., Instability of nanofluids in natural convection, ASME J. Heat Transfer, vol. 130, p. 072401, 2008a.
32. Tzou, D. Y., Thermal instability of nanofluids in natural convection, Int. J. Heat Mass Transfer, vol. 51, pp. 2967-2979, 2008b. (Pubitemid 351514731)
33. Vadasz, P., Free convection in rotating porous media, in Transp. Phenomena in Porous Media, Amsterdam: Elsevier, pp. 285- 312, 1998.
34. Vafai, K., Handbook of Porous Media, New York: Taylor and Francis, 2005.
35. Vanishree, R. K. and Siddheshwar, P. G., Effect of rotation on thermal convection in an anisotropic porous medium with temperature-dependent viscosity, Transp. Porous Media, vol. 81, pp. 73-87, 2010.