ISSN

2231-3915 (Online)
2231-3907 (Print)


Author(s): Kamal Singh, Ajaib S. Banyal

Email(s): singh_kamal1979@rediffmail.com , ajaibbanyal@rediffmail.com

DOI: Not Available

Address: Kamal Singh1 and Ajaib S. Banyal2*
1Research Scholar, Department of Maths, Singhania University, Pacheri Bari, Jhunjhunu- 333515 (Raj.)
2Department of Mathematics, Govt. College Nadaun, Dist. Hamirpur, (HP)-177033
*Corresponding Author

Published In:   Volume - 4,      Issue - 2,     Year - 2014


ABSTRACT:
Thermal instability of couple-stress fluid in the presence of uniform vertical rotation is considered. Following the linearized stability theory and normal mode analysis, the paper established the regime for all oscillatory and non-decaying slow motions starting from rest, in a couple-stress fluid of infinite horizontal extension and finite vertical depth in the presence of uniform vertical rotation and the necessary condition for the existence of ‘overstability’ and the sufficient condition for the validity of the ‘exchange principle’ is derived, when the bounding surfaces of infinite horizontal extension, at the top and bottom of the fluid are rigid. Further, the stationary convection at marginal state with free horizontal boundaries is analyzed numerically and graphically, showing that the couple-stress parameter and rotation has stabilizing effect on the system. However, for the constant magnitude of couple-stress parameter and rotation, the wave number has a destabilizing effect for a value less than a critical value, which varies with the magnitude of the couple-stress parameter and rotation; and for higher value than the critical value of the wave number; it has a stabilizing effect on the system.


Cite this article:
Kamal Singh, Ajaib S. Banyal. Effect of wave number on the onset of instability in couple-stress fluid and its characterization in the presence of rotation. Int. J. Tech. 4(2): July-Dec. 2014; Page 251-259


Recomonded Articles:

Author(s): Satish Garg, Priyanka Vaishist, S. P. Gupta

DOI: 10.5958/2231-3915.2016.00009.2         Access: Open Access Read More

Author(s): S. K. Kango, Sanjay Sharma, Kalpna Chadha

DOI: 10.5958/2231-3915.2016.00020.1         Access: Open Access Read More

Author(s): H.L. Sharma, Vijay Thakur

DOI: 10.5958/2231-3915.2016.00042.0         Access: Open Access Read More

Author(s): Jyoti Ahuja, Urvashi Gupta

DOI: 10.5958/2231-3915.2016.00032.8         Access: Open Access Read More

Author(s): Satish Kumar Garg

DOI: 10.5958/2231-3915.2016.00031.6         Access: Open Access Read More

Author(s): Ajaib S. Banyal, Kamal Singh

DOI: 10.5958/2231-3915.2016.00041.9         Access: Open Access Read More

Author(s): P.K. Singh, Narendra Pal Singh

DOI:         Access: Open Access Read More

Author(s): Joginder Singh Dhiman1, Vijay Kumar2, Som Krishan Sharma3

DOI:         Access: Open Access Read More

Author(s): Sanjoy Ghosal

DOI:         Access: Open Access Read More

Author(s): Ashutosh D. Bagde, Dr. S.B. Jaju, P.G. Patil

DOI:         Access: Open Access Read More

Author(s): Rajdeep Chowdhury, Saikat Ghosh

DOI:         Access: Open Access Read More

Author(s): Joginder Singh Dhiman, Nivedita Sharma

DOI:         Access: Open Access Read More

Author(s): Manjeeth Kolli Venkata, Bharath Reddy Rondla, Sri Kalyana Rama J

DOI: DOI: 10.5958/2231-3915.2015.00013.9         Access: Open Access Read More

Author(s): Raviprasad Gupta, B. Ravinder

DOI: 10.5958/2231-3915.2015.00028.0         Access: Open Access Read More

Author(s): Amitava Biswas, Abhishek Bisaria

DOI: 10.5958/2231-3915.2019.00010.5         Access: Closed Access Read More

Author(s): Urvashi Gupta, Jyoti Ahuja

DOI:         Access: Open Access Read More

International Journal of Technology (IJT) is an international, peer-reviewed journal, research journal aiming at promoting and publishing original high quality research in all disciplines of engineering sciences and technology...... Read more >>>

RNI: Not Available                     
DOI: 10.5958/2231-3915 


Recent Articles




Tags