Effect of Rotation on Thermal Convection in an Anisotropic Porous Medium with Temperature-dependent Viscosity

Abstract

A linear stability analysis is performed for mono-diffusive convection in an anisotropic rotating porous medium with temperature-dependent viscosity. The Galerkin variant of the weighted residual technique is used to obtain the eigen value of the problem. The effect of Taylor-Vadasz number and the other parameters of the problem are considered for stationary convection in the absence or presence of rotation. Oscillatory convection seems highly improbable. Some new results on the parameters' influence on convection in the presence of rotation, for both high and low rotation rates, are presented.

Elastic effects on Rayleigh-Bénard convection in liquids with temperature-dependent viscosity

“…The conclusions for FIFI boundary combination are drawn from Table 6 and on computation we find that for other boundary combinations also these conclusions are true as seen by Vanishree and Siddheshwar [37]. …”

Natural Convection in a Nanofluid Saturated Rotating Porous Layer: A Nonlinear Study

“…Few of them are: Pearlstein (1981), Chakrabarti and Gupta (1981), Patil and Vaidyanathan (1983) Patil et al (1990), Qin and Kaloni (1995), Vadasz (1998), Desaive et al (2002), Govender (2006Govender ( , 2008, Maharaj and Saneshan (2005), Riahi (2005). Bhadauria (2007bBhadauria ( ,c, 2008a, Bhadauria and Suthar (2008b), and Vanishree and Siddheshwar (2010).…”

Study of Heat Transport in Bénard-Darcy Convection with g-Jitter and Thermo-Mechanical Anisotropy in Variable Viscosity Liquids

“…Richardson and Straughan (1993) established a non-linear energy stability theory for the problem of convection in porous medium when the viscosity depends on the temperature. Qin and Chadam (1996), Nield (1996), Holzbecher (1998), Payne et al (1999), Rees et al (2002), Siddheshwar andChan (2004), and Vanishree and Siddheshwar (2010) studied the effects of variable viscosity on convection problems in a porous medium.…”