ISSN 2394-5125
 

Research Article 


THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir.

Abstract
This paper deals with the theortical investigation of the effect of couple-stress, rotation, magnetic
field and magnetization on the thermal convection in a couple-stress ferromagnetic fluid in the presence of
variable gravity field, rotation and uniform magnetic field. For a flat fluid Layer contained between two free
boundaries, an exact solution is obtained using a linearized stability theory and normal mode analysis. For the
case of stationary convection, couple-stress and magnetic field have both stabilizing and destabilizing effect
under certain conditions, while in the absence of rotation, both these parameters have stabilizing effect if  0
and destabilizing effect if   0 . Also, rotation has a stabilizing effect on the system if   0 and destabilizing
effect if   0 . It is also found that magnetization has a stabilizing effect on the system for both   0 and
  0 . The critical Rayleigh number for the onset of instability is determined numerically and graphically also.
The principle of exchange of stabilities is found to hold true in the absence of rotation and magnetic field under
certain conditions.

Key words: Thermal instability, couple-stress fluid, rotation, magnetic field, ferromagnetic fluid


 
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Pubmed Style

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir. THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD. JCR. 2020; 7(19): 2784-2797. doi:10.31838/jcr.07.19.340


Web Style

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir. THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD. http://www.jcreview.com/?mno=120715 [Access: September 15, 2020]. doi:10.31838/jcr.07.19.340


AMA (American Medical Association) Style

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir. THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD. JCR. 2020; 7(19): 2784-2797. doi:10.31838/jcr.07.19.340



Vancouver/ICMJE Style

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir. THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD. JCR. (2020), [cited September 15, 2020]; 7(19): 2784-2797. doi:10.31838/jcr.07.19.340



Harvard Style

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir (2020) THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD. JCR, 7 (19), 2784-2797. doi:10.31838/jcr.07.19.340



Turabian Style

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir. 2020. THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD. Journal of Critical Reviews, 7 (19), 2784-2797. doi:10.31838/jcr.07.19.340



Chicago Style

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir. "THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD." Journal of Critical Reviews 7 (2020), 2784-2797. doi:10.31838/jcr.07.19.340



MLA (The Modern Language Association) Style

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir. "THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD." Journal of Critical Reviews 7.19 (2020), 2784-2797. Print. doi:10.31838/jcr.07.19.340



APA (American Psychological Association) Style

Pulkit Kumar Nadian, Rimple Pundir, Sudhir Kumar Pundir (2020) THERMAL INSTABILITY OF COUPLE-STRESS FERROMAGNETIC FLUID IN THE PRESENCE OF VARIABLE GRAVITY FIELD, ROTATION AND MAGNETIC FIELD. Journal of Critical Reviews, 7 (19), 2784-2797. doi:10.31838/jcr.07.19.340