NUMERICAL EXAMINATION OF THE THERMAL INSTABILITY IN AN ANISOTROPIC POROUS MEDIUM LAYER SUBJECTED TO ROTATION AND VARIABLE GRAVITY FIELD

2020 ◽  
Vol 11 (4) ◽  
pp. 395-407
Author(s):  
Dhananjay Yadav
Keyword(s):  
Porous Medium ◽  
Gravity Field ◽  
Thermal Instability ◽  
Medium Layer ◽  
Anisotropic Porous Medium ◽  
Variable Gravity ◽  
Numerical Examination

Gravity Modulation of Thermal Instability in a Viscoelastic Fluid Saturated Anisotropic Porous Medium

2012 ◽  
Vol 67 (1-2) ◽  
pp. 1-9 ◽  
Author(s):  
Beer S. Bhadauria ◽  
Atul K. Srivastava ◽  
Nirmal C. Sacheti ◽  
Pallath Chandran
Keyword(s):  
Porous Medium ◽  
Gravity Field ◽  
Viscoelastic Fluid ◽  
Thermal Instability ◽  
Time Dependent ◽  
Periodic Part ◽  
Gravity Modulation ◽  
Dependent Part ◽  
Anisotropic Porous Medium ◽  
The Stability

The present paper deals with a thermal instability problem in a viscoelastic fluid saturating an anisotropic porous medium under gravity modulation. To find the gravity modulation effect, the gravity field is considered in two parts: a constant part and an externally imposed time-dependent periodic part. The time-dependent part of the gravity field, which can be realized by shaking the fluid, has been represented by a sinusoidal function. Using Hill’s equation and the Floquet theory, the convective threshold has been obtained. It is found that gravity modulation can significantly affect the stability limits of the system. Further, we find that there is a competition between the synchronous and subharmonic modes of convection at the onset of instability. Effects of various parameters on the onset of instability have also been discussed.

scholarly journals Thermal Instability of a Couple-Stress Ferromagnetic Fluid in the Presence of Variable Gravity Field and Horizontal Magnetic Field with Hall Currents Saturating in a Porous Medium

2021 ◽  
Vol 23 (1) ◽  
Author(s):  
Sudhir Kumar Pundir ◽  
◽  
Pulkit Kumar Nadian ◽  
Rimple Pundir ◽  
◽  
...  
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Gravity Field ◽  
Couple Stress ◽  
Thermal Instability ◽  
Horizontal Magnetic Field ◽  
Variable Gravity ◽  
Ferromagnetic Fluid

https://jusst.org/thermal-instability-of-a-couple-stress-ferromagnetic-fluid-in-the-presence-of-variable-gravity-field-and-horizontal-magnetic-field-with-hall-currents-saturating-in-a-porous-medium/

scholarly journals Variable Gravity Effects on Thermal Instability of Nanofluid in Anisotropic Porous Medium

2013 ◽  
Vol 18 (3) ◽  
pp. 631-642 ◽  
Author(s):  
R. Chand ◽  
G.C. Rana ◽  
S. Kumar
Keyword(s):  
Porous Medium ◽  
Brownian Motion ◽  
Rayleigh Number ◽  
Thermal Instability ◽  
Horizontal Layer ◽  
Free Boundaries ◽  
Gravity Effects ◽  
Anisotropic Porous Medium ◽  
Variable Gravity ◽  
Mode Technique

Abstract In this paper, we study the effects of variable gravity on thermal instability in a horizontal layer of a nanofluid in an anisotropic porous medium. Darcy model been used for the porous medium. Also, it incorporates the effect of Brownian motion along with thermophoresis. The normal mode technique is used to find the confinement between two free boundaries. The expression of the Rayleigh number has been derived, and the effects of variable gravity and anisotropic parameters on the Rayleigh number have been presented graphically

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