Numerical simulation of self-similar thermal convection from a spinning cone in anisotropic porous medium

KREITH F. Convection heat transfer in rotating systems[J]. Advances in Heat Transfer, 1968, 5: 129–251. MAKARYTCHEV S. V., LANGRISH T. A. G. and PRINCE R. G. H. Thickness and velocity of wavy liquid films on rotating conical surfaces[J]. Chemical Engineering Science, 2001, 56(1): 77–87. ADACHI T. Oxygen transfer and power consumption in an aeration system using mist and circulation flow generated by a rotating cone[J]. Chemical Engineering Science, 2015, 126: 625–632. CHAMKHA A. J., RASHAD A. M. Unsteady heat and mass transfer by MHD mixed convection flow from a rotating vertical cone with chemical reaction and Soret and Dufour effects[J]. The Canadian Journal of Chemical Engineering, 2014, 92(4): 758–767. OSALUSI E., SIDE J. and HARRIS R. et al. The effect of combined viscous dissipation and Joule heating on unsteady mixed convection MHD flow on a rotating cone in a rotating fluid with variable properties in the presence of Hall and ion-slip currents[J]. International Communications in Heat and Mass Transfer, 2008, 35(4): 413–429. NARAYANA M., AWAD F. G. and SIBANDA P. Free magnetohydrodynamic flow and convection from a vertical spinning cone with cross-diffusion effects[J]. Applied Mathematical Modelling, 2013, 37(5): 2662–2678. ANILKUMAR D., ROY S. Unsteady mixed convection flow on a rotating cone in a rotating fluid[J]. Applied Mathematics and Computation, 2004, 155(2): 545–561. RAJU S. H., MALLIKARJUNA B. and VARMA S. V. K. Thermophoretic effect on double diffusive convective flow of a chemically reacting fluid over a rotating cone in porous Medium[J]. International Journal of Scientific and Engineering Research, 2015, 6(1): 198–204. ECE M. C. Free convection flow about a vertical spinning cone under a magnetic field[J]. Applied Mathematics and Computation, 2006, 179(1): 231–242. VAFAI K. Handbook of porous media[M]. New York, USA: Marcel Dekker, 2005. BÉg O. A., ZUECO J. and TAKHAR H. S. et al. Transient non-linear optically-thick radiative-convective double-diffusive boundary layers in a Darcian porous medium adjacent to an impulsively started surface: Network simulation solutions[J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(11): 3856–3866. MCKIBBIN R. Convection and heat transfer in layered and anisotropic porous media (QUINTARD M., TODOROVIC M. Editors. Heat and mass transfer in porous media)[M]. Amsterdam, The Netherlands: Elsevier, 1992, 327–336. WHITE R. E., SUBRAMANIAN V. R. Computational methods in chemical engineering with maple[M]. Berlin, Heidelberg, Germany: Spring-Verlag, 2010. BHARGAVA R., SHARMA S. and BÉG O. A. et al. Finite element study of nonlinear two-dimensional deoxygenated biomagnetic micropolar flow[J]. Communications in Nonlinear Science and Numerical Simulation, 2010, 15(5): 1210–1223. BÉG O. A., LIK S. and ZUECO J. et al. Numerical study of magnetohydrodynamic viscous plasma flow in rotating porous media with Hall currents and inclined magnetic field influence[J]. Communications in Nonlinear Science and Numerical Simulation, 2010, 15(2): 345–359. BÉG O. A., UDDIN M. J. and KHAN W. A. Bioconvective non-Newtonian nanofluid transport in porous media containing micro-organisms in a moving free stream[J]. Journal of Mechanics in Medicine and Biology, 2015, 15(5): 1550071. MAKINDE O. D., BÉG O. A. and TAKHAR H. S. Magnetohydrodynamic viscous flow in a rotating porous medium cylindrical annulus with an applied radial magnetic field[J]. International Journal of Applied Mathematics and Mechanics, 2009, 5(6): 68–81. SEMMAH A., BÉG O. A. and MAHMOUD S. R. et al. Thermal buckling properties of zigzag single-walled carbon nanotubes using a refined nonlocal model[J]. Advances in materials Research, 2014, 3(2): 77–89. UDDIN M. J., YUSOFF N. H. M. and BÉG O. A. et al. Lie group analysis and numerical solutions for nonNewtonian nanofluid flow in a porous medium with internal heat generation[J]. Physica Scripta, 2013, 87(2): 25401–25414. CHUNG T. J. The finite element method in fluid flow[M]. New York, USA: Wiley, 1978. BÉG O. A., RAWAT S. and ZUECO J. et al. Finite element and network electrical simulation of rotating magnetofluid flow in nonlinear porous media with inclined magnetic field and Hall currents[J]. Theoretical and Applied Mechanics, 2014, 41(1): 1–35. BÉG O. A. Numerical methods for multi-physical magnetohydrodynamics, Chapter 1 (New developments in hydrodynamics research)[M]. New York, USA: Nova Science, 2012, 1–112. PRASAD V. R., GAFFAR S. A. and BÉG O. A. Heat and mass transfer of a nanofluid from a horizontal cylinder to a micropolar fluid[J]. Journal of Thermophysics and Heat Transfer, 2014, 29(1): 1–13.