A nonlinear study of triple diffusive convection in a rotating couple stress liquid has been analysed. It is performed to study the effect of heat and mass transfer by deriving Ginzburg-Landau equation. Heat and mass transfer are quantified in terms of Nusselt number and Sherwood numbers, which are obtained as a function of thermal and solute Rayleigh numbers. The obtained Ginzburg-Landau equation is Bernoulli equation, and it has been elucidated numerically by using Mathematica. The effects of couple stress parameter, solute Rayleigh numbers, and Taylor number on the onset of convection and heat and mass transfer have been examined. It is found that the effects of couple stress parameter and Taylor number are to stabilize the system and to increase the heat and mass transfer.<\/p>\r\n","references":"[1]\tA. J. Pearlstein, R. D. Harris and G. Terrones, \u201cThe onset of convective instability in a triply diffusive fluid layer,\u201d J. Fluid Mech., vol. 202, pp. 443-465, 1989.\r\n[2]\tR. A. Lopez, L. A. Romero and A. J. Pearlstein, \u201cEffect of rigid boundaries on the onset of convective instability in a triply diffusive fluid layer,\u201d Phys. Fluids A, vol. 2, pp. 897, 1990.\r\n[3]\tR. Sumithra, \u201cExact solution of triple diffusive Marangoni-convection in a composite layer,\u201d Int. J. Engg. Research and Tech., vol. 1, no. 5, pp. 1-13, 2012.\r\n[4]\tS. Rionero, \u201cTriple diffusive convection in porous media,\u201d Acta Mech., vol. 224, pp. 447\u2013458, 2013.\r\n[5]\tSameena Tarannum and S. Pranesh, \u201cTriple diffusive convection in Oldroyd-B liquid,\u201d IOSR J. Math., vol. 12, no. 4, pp. 7-13, 2016.\r\n[6]\tS. Chandrasekhar, \u201cHydrodynamic and hydromagnetic stability,\u201d Oxford: Clarendon Press, 1961.\r\n[7]\tV. K. Stokes, \u201cCouple stress in fluids,\u201d Phys. Fluids, pp. 1079-1715, 1966.\r\n[8]\tP. G. Siddheshwar and S. Pranesh, \u201cAn analytical study of linear and non-linear convection in Boussinesq-Stokes suspensions,\u201d Int. J. Non-Linear Mech., pp. 165-172, 2004.\r\n[9]\tI. S. Shivakumara, S. Sureshkumar and N. Devaraju, \u201cEffect of Non-Uniform Temperature Gradients on the Onset of Convection in a Couple-Stress Fluid-Saturated Porous Media,\u201d J. Applied Fluid Mech., vol. 5, pp. 49-55, 2012.\r\n[10]\tS. Pranesh and Sameena Tarannum, \u201cLinear and weakly non-linear stability analyses of double-diffusive electro-convection in a micropolar fluid,\u201d IOSR J. Math., vol. 11, no. 6(1), pp. 44-70, 2015.\r\n[11]\tP. G. Siddheshwar, \u201cA series solution for the Ginzburg-Landau Equation with a time-periodic coefficient,\u201d Appl. Math. vol. 3, pp. 542-554, 2010.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 123, 2017"}