scholarly journals Double – Diffusive Convection of Non – Newtonian Walters’ (MODELB′) Viscoelastic Fluid through Brinkman Porous Medium with Suspended Particles

2016 ◽  
Vol 34 (3) ◽  
pp. 357-363 ◽  
Author(s):  
K. Thirumurugan ◽  
R. Vasanthakumari
2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Ramesh Chand ◽  
G. C. Rana

Double diffusive convection in a horizontal layer of Maxwell viscoelastic fluid in a porous medium in the presence of temperature gradient (Soret effects) and concentration gradient (Dufour effects) is investigated. For the porous medium Darcy model is considered. A linear stability analysis based upon normal mode technique is used to study the onset of instabilities of the Maxwell viscolastic fluid layer confined between two free-free boundaries. Rayleigh number on the onset of stationary and oscillatory convection has been derived and graphs have been plotted to study the effects of the Dufour parameter, Soret parameter, Lewis number, and solutal Rayleigh number on stationary convection.


2012 ◽  
Vol 43 (3) ◽  
pp. 365-374
Author(s):  
Pardeep Kumar ◽  
Hari Mohan

The double-diffusive convection in an Oldroydian viscoelastic fluid is mathematical investigated under the simultaneous effects of magnetic field and suspended particles through porous medium. A sufficient condition for the invalidity of the `principle of exchange of stabilities' is derived, in the context, which states that the exchange principle is not valid provided the thermal Rayleigh number $R$, solutal Rayleigh number$R_S$, the medium permeability $P_1$ and the suspended particles parameter $B$ are restricted by the inequality $\frac{BP_1}{\pi^2}(R+R_S)<1$.


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