Lie group analysis for nanofluid flow past a convectively heated stretching surface

Lie, 1874, Verallgemeinerung und neue Verwertung der Jacobischen Multiplikatortheorie, Christiania Forh., 255 S. Lie, F. Engel, Theorie der Transformationsgruppen, vol. 3, Teubner, Leipzig, 1888–1893. S. Lie, Gesammelte Abhandlungen, vol. 7, Teubner, Leipzig, 1922–1960. Hansen, 1964 Ames, 1972 Bluman, 1989 Pakdemirli, 1998, Similarity transformations for partial differential equations, SIAM Rev., 40, 96, 10.1137/S003614459631001X Oberlack, 1999, Similarity in non-rotating and rotating turbulent pipe flows, J. Fluid Mech., 379, 1, 10.1017/S0022112098001542 Yurusoy, 2001, Lie group analysis of creeping flow of a second grade fluid, Int. J. Non-Linear Mech., 36, 955, 10.1016/S0020-7462(00)00060-3 Torrisi, 2005, Second order differential invariants of a family of diffusion equations, J. Phys. A: Math. Theor., 38, 7519, 10.1088/0305-4470/38/34/006 Gandarias, 2007, On some differential invariants for a family of diffusion equations, J. Phys. A: Math. Theor., 40, 8803, 10.1088/1751-8113/40/30/013 Choi, 1995, Enhancing thermal conductivity of fluids with nanoparticles, Dev. Appl. Non-Newtonian flows, 66, 99 Eastman, 2001, Anomalously increased effective thermal conductivity of ethylene glycol-based nanofluids containing copper nanoparticles, Appl. Phys. Lett., 78, 718, 10.1063/1.1341218 Xuan, 2003, Investigation on convective heat transfer and flow features of nanofluids, J. Heat Transfer, 125, 151, 10.1115/1.1532008 Buongiorno, 2006, Convective transport in nanofluids, ASME J. Heat Transfer, 128, 240, 10.1115/1.2150834 Kuznetsov, 2010, Natural convective boundary layer flow of a nanofluid past a vertical plate, Int. J. Therm. Sci., 49, 243, 10.1016/j.ijthermalsci.2009.07.015 Khan, 2011, Natural convection flow of a nanofluid over a vertical plate with uniform surface heat flux, Int. J. Therm. Sci., 50, 1207, 10.1016/j.ijthermalsci.2011.02.015 Khan, 2011, Double-diffuusive natural convective boundary layer flow in a porous medium saturated with a nanofluid over a vertical plate: prescribed surface heat, solute and nanoparticle fluxes, Int. J. Therm. Sci., 50, 2154, 10.1016/j.ijthermalsci.2011.05.022 Aziz, 2012, Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate, Int. J. Therm. Sci., 52, 83, 10.1016/j.ijthermalsci.2011.10.001 Van Gorder, 2010, Nano boundary layers over stretching surfaces, Commun. Nonlinear Sci. Numer. Simul., 15, 1494, 10.1016/j.cnsns.2009.06.004 Khan, 2010, Boundary-layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transfer, 53, 2477, 10.1016/j.ijheatmasstransfer.2010.01.032 Hassan, 2011, An analytical solution for boundary layer flow of a nanofluid past a stretching sheet, Int. J. Therm. Sci., 50, 2256, 10.1016/j.ijthermalsci.2011.05.015 Yao, 2011, Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions, Commun. Nonlinear Sci. Numer. Simul., 16, 752, 10.1016/j.cnsns.2010.05.028 Makinde, 2011, Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, Int. J. Therm. Sci., 50, 1326, 10.1016/j.ijthermalsci.2011.02.019 Kandasamy, 2011, Scaling group transformation for MHD boundary-layer flow of a nanofluid past a vertical stretching surface in the presence of suction/injection, Nuc. Eng. Design., 241, 2053, 10.1016/j.nucengdes.2011.04.011 Hamad, 2012, Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: a lie group analysis, Commun. Nonlinear Sci. Numer. Simul., 17, 132, 10.1016/j.cnsns.2011.02.024 Patil, 2008, Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation, Int. J. Therm. Sci., 47, 1043, 10.1016/j.ijthermalsci.2007.07.013 Kandasamy, 2010, Lie group analysis for the effects of temperature-dependent fluid viscosity and chemical reaction on MHD free convective heat and mass transfer with variable stream conditions, Nuc. Eng. Design., 240, 39, 10.1016/j.nucengdes.2009.08.012 Kandasamy, 2010, Lie group analysis for the effect of temperature-dependent fluid viscosity with thermophoresis and chemical reaction on MHD free convective heat and mass transfer over a porous stretching surface in the presence of heat source/sink, Commun. Nonlinear Sci. Numer. Simul., 15, 2109, 10.1016/j.cnsns.2009.09.016 Yazdi, 2011, Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction, Int. J. Heat Mass Transfer, 54, 3214, 10.1016/j.ijheatmasstransfer.2011.04.009 Kandasamy, 2011, Group theory transformation for Soret and Dufour effects on free convective heat and mass transfer with thermophoresis and chemical reaction over a porous stretching surface in the presence of heat source/sink, Nuc. Eng. Design., 241, 2155, 10.1016/j.nucengdes.2011.03.002 Abdul-Kahar, 2011, Scaling group transformation for boundary-layer flow of a nanofluid past a porous vertical stretching surface in the presence of chemical reaction with heat radiation, Comput. Fluids, 52, 15, 10.1016/j.compfluid.2011.08.003