Study of Soret and Dufour effects and secondary instabilities on Rayleigh-Bénard convection in a couple stress fluid
作者： Ragoju Ravi , C. Kanchana , G. Janardhana Reddy , Hussain Basha
DOI: 10.1140/EPJP/I2018-12321-6
关键词:
摘要: The effects of Soret and Dufour parameters on the thermosolutal convection in a horizontal couple stress fluid layer with constant temperature solutal concentration are investigated analytically under assumption Boussinesq approximation. In linear stability analysis, using normal mode Fourier truncated representation, we arrived at expressions for stationary oscillatory Rayleigh numbers. number, Lewis stress, numbers presented graphically. method multiscales is used to derive Newell-Whitehead-Segel equation. possibility occurrence Eckhaus zigzag secondary instabilities discussed. influence parameter region demonstrated. nondimensional parameters, Nusselt Sherwood quantify heat mass transports. From study it found that effect enhance Further, negative value transports positive diminish same.
springer.com
epj.org
harvard.edu
sci-hub.se 参考文章(39)
R. C. Sharma, K. D. Thakur, On couple-stress fluid heated from below in porous medium in hydromagnetics Czechoslovak Journal of Physics. ,vol. 50, pp. 753- 758 ,(2000) , 10.1023/A:1022886903213
Shaowei Wang, Wenchang Tan, Stability analysis of soret-driven double-diffusive convection of Maxwell fluid in a porous medium International Journal of Heat and Fluid Flow. ,vol. 32, pp. 88- 94 ,(2011) , 10.1016/J.IJHEATFLUIDFLOW.2010.10.005
M S Malashetty, Dulal Pal, Premila Kollur, Double-diffusive convection in a Darcy porous medium saturated with a couple-stress fluid Fluid Dynamics Research. ,vol. 42, pp. 035502- ,(2010) , 10.1088/0169-5983/42/3/035502
N. Rudraiah, P. G. Siddheshwar, A Weak Nonlinear Stability Analysis of Double Diffusive Convection with Cross-diffusion in a Fluid-saturated Porous Medium Heat and Mass Transfer. ,vol. 33, pp. 287- 293 ,(1998) , 10.1007/S002310050191
F. S. Ibrahim, F. M. Hady, S. M. Abdel-Gaied, M. R. Eid, Influence of chemical reaction on heat and mass transfer of non-Newtonian fluid with yield stress by free convection from vertical surface in porous medium considering Soret effect Applied Mathematics and Mechanics-english Edition. ,vol. 31, pp. 675- 684 ,(2010) , 10.1007/S10483-010-1302-9
M.S. Malashetty, S.N. Gaikwad, Mahantesh Swamy, An analytical study of linear and non-linear double diffusive convection with Soret effect in couple stress liquids International Journal of Thermal Sciences. ,vol. 45, pp. 897- 907 ,(2006) , 10.1016/J.IJTHERMALSCI.2005.12.005
M. Nawaz, T. Hayat, A. Alsaedi, Dufour and Soret effects on MHD flow of viscous fluid between radially stretching sheets in porous medium Applied Mathematics and Mechanics-english Edition. ,vol. 33, pp. 1403- 1418 ,(2012) , 10.1007/S10483-012-1632-6
I. S. Shivakumara, Onset of convection in a couple-stress fluid-saturated porous medium: effects of non-uniform temperature gradients Archive of Applied Mechanics. ,vol. 80, pp. 949- 957 ,(2010) , 10.1007/S00419-009-0347-5
A. Benerji Babu, Ragoju Ravi, S.G. Tagare, Nonlinear rotating convection in a sparsely packed porous medium Communications in Nonlinear Science and Numerical Simulation. ,vol. 17, pp. 5042- 5063 ,(2012) , 10.1016/J.CNSNS.2012.04.014
A.A. Altawallbeh, B.S. Bhadauria, I. Hashim, Linear and nonlinear double-diffusive convection in a saturated anisotropic porous layer with Soret effect and internal heat source International Journal of Heat and Mass Transfer. ,vol. 59, pp. 103- 111 ,(2013) , 10.1016/J.IJHEATMASSTRANSFER.2012.12.005