MAGNETO-CONVECTIVE INSTABILITY IN A HORIZONTAL VISCOELASTIC NANOFLUID SATURATED POROUS LAYER
DOI:
https://doi.org/10.11113/jt.v78.10038Keywords:
Nanofluid, viscoelastic, magnetic field, porous medium, instability, analyticalAbstract
Nanofluids have been shown experimentally to have high thermal conductivity. In this study, the convective instabilities in a horizontal viscoelastic nanofluid saturated by porous layer under the influences of gravity and magnetic field are investigated. The linear stability theory is used for the transformation of the partial differential equations to system of ordinary differential equations through infinitesimal perturbations, scaling, linearization and method of normal modes with two-dimensional periodic waves. The system is solved analytically for the closed form solution of the thermal Darcy-Rayleigh number by using the Galerkin-type weighted residuals method to investigate the onset of both stationary and oscillatory convection. The effects of the scaled stress relaxation parameter, scaled strain retardation parameter and Chandrasekhar number on the stability of the system are investigated. The scaled strain retardation parameter stabilizes while the scaled stress relaxation parameter destabilizes the nanofluid system. The system in the presence of magnetic field is more stable than the system in the absence of magnetic field.Â
References
Choi, S. 1995. Enhancing Thermal Conductivity of Fluids with Nanoparticles. ASME Publications Fed. 231: 99-106.
Buongiorno, J. 2006. Convective Transport in Nanofluids. Journal of Heat Transfer. 128(3): 240-250.
Abu-Nada, E., Masoud, Z., Oztop, H. F. and Campo, A. 2010. Effect of Nanofluid Variable Properties on Natural Convection in Enclosures. International Journal of Thermal Sciences. 49(3): 479-491.
Kleinstreuer, C. and Feng, Y. 2011. Experimental and Theoretical Studies of Nanofluid Thermal Conductivity Enhancement: A Review. Nanoscale Research Letters. 6(1): 1-13.
Nield, D. and Kuznetsov, A. 2009. Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid. International Journal of Heat and Mass Transfer. 52(25): 5796-5801.
Nield, D. and Kuznetsov, A. 2014. Thermal Instability in a Porous Medium Layer Saturated by a Nanofluid: A Revised Model. International Journal of Heat and Mass Transfer. 68: 211-214.
Kechil, S. A. and Hashim, I. 2008. Control of Marangoni Instability in a Layer of Variable Viscosity Fluid. International Communications in Heat and Mass Transfer. 35(10): 1368-1374.
Hamid, A. S. A., Kechil, S. A. and Aziz, A. S. A. 2011. Marangoni Instability in a Fluid Layer with Insoluble Surfactant. World Academy of Science, Engineering and Technology. 58: 24-28.
Nield, D. 2011. A Note on The Onset of Convection in a Layer of a Porous Medium Saturated by a Non-Newtonian Nanofluid of Power-Law Type. Transport in Porous Media. 87(1): 121-123.
Yadav, D., Bhargava, R., Agrawal, G., Yadav, N., Lee, J. and Kim, M. 2014. Thermal Instability in a Rotating Porous Layer Saturated by a Non-Newtonian Nanofluid with Thermal Conductivity and Viscosity Variation. Microfluidics and Nanofluidics. 16(1-2): 425-440.
Kang, J., Zhou, F., Tan, W. and Xia, T. 2014. Thermal Instability of a Nonhomogeneous Power-Law Nanofluid in a Porous Layer with Horizontal Throughflow. Journal of Non-Newtonian Fluid Mechanics. 213: 50-56.
Nield, D. and Kuznetsov, A. 2012. The Onset of Convection in a Layer of a Porous Medium Saturated by a Nanofluid: Effects of Conductivity and Viscosity Variation and Cross-Diffusion. Transport in Porous Media. 92(3): 837-846.
Shivakumara, I., Dhananjaya, M. and Ng, C. O. 2015. Thermal Convective Instability in an Oldroyd-B Nanofluid Saturated Porous Layer. International Journal of Heat and Mass Transfer. 84: 167-177.
Nguyen, N. T. 2012. Special Issue on Magnetic Based Microfluidics. Microfluidics and Nanofluidics. 13(4): 527-528.
Gupta, U., Ahuja, J. and Wanchoo, R. 2013. Magneto Convection in a Nanofluid Layer. International Journal of Heat and Mass Transfer. 64: 1163-1171.
Perez, L., Bragard, J., Laroze, D., Martinez-Mardones, J. and Pleiner, H. 2011. Thermal Convection Thresholds in a Oldroyd Magnetic Fluid. Journal of Magnetism and Magnetic Materials. 323(6): 691-698.
Narayana, M., Gaikwad, S., Sibanda, P. and Malge, R. 2013. Double Diffusive Magneto-Convection in Viscoelastic Fluids. International Journal of Heat and Mass Transfer. 67: 194-201.
Chandrasekhar S. 2013. Hydrodynamic and Hydromagnetic Stability. Courier Dover Publications.
Downloads
Published
Issue
Section
License
Copyright of articles that appear in Jurnal Teknologi belongs exclusively to Penerbit Universiti Teknologi Malaysia (Penerbit UTM Press). This copyright covers the rights to reproduce the article, including reprints, electronic reproductions, or any other reproductions of similar nature.
