Author(s): Daleep K. Sharma, Ajaib S. Banyal

Email(s): daleepsharmainshimla@gmail.com , ajaibbanyal@rediffmail.com

DOI: 10.5958/2349-2988.2017.00005.5   

Address: Daleep K. Sharma1*, Ajaib S. Banyal2
1Department of Mathematics, G. C.Arki, Distt. Solan (HP), INDIA
2Department of Mathematics, Govt. College Nadaun, Dist. Hamirpur, (HP) INDIA 177033
*Corresponding Author

Published In:   Volume - 9,      Issue - 1,     Year - 2017


ABSTRACT:
The thermal instability of a Rivlin-Ericksen viscoelastic fluid acted upon by uniform vertical rotation and heated from below in a porous medium is investigated. Following the linearized stability theory and normal mode analysis, the paper through mathematical analysis of the governing equations of Rivlin-Ericksen viscoelastic fluid convection with a uniform vertical rotation, for the case of rigid boundaries shows that the complex growth rate of oscillatory perturbations, neutral or unstable for all wave numbers, must lie inside the right half of the semi-circle , in a -plane, where is the Taylor number, F is the viscoelasticity parameter, is the porosity, is the medium permeability; which prescribes the upper limits to the complex growth rate of arbitrary oscillatory motions of growing amplitude in a rotatory Rivlin-Ericksen viscoelastic fluid heated from below. The result is important since it hold for all wave numbers and for rigid boundaries of infinite horizontal extension at the top and bottom of the fluid, and the exact solutions of the problem investigated in closed form, is not obtainable.


Cite this article:
Daleep K. Sharma, Ajaib S. Banyal. Bounds for the Complex Growth Rate in Rivlin-Ericksen Viscoelastic Fluid in the Presence of Rotation in a Porous Medium. Research J. Science and Tech. 2017; 9(1):29-34. doi: 10.5958/2349-2988.2017.00005.5


Recomonded Articles:

Author(s): Ashwani Awasthi, Shashi Kant Tripathi, Ashok Kumar Tiwari

DOI: 10.5958/2349-2988.2018.00019.0         Access: Open Access Read More

Author(s): Bhushan A. Bhairav, Prajakta A. Kokane, Ravindra B. Saudagar

DOI: 10.5958/2349-2988.2016.00022.X         Access: Closed Access Read More

Author(s): Karimoun Massalatchi Illyassou, Mamane Illa, Rabani Adamou, Aboubacar Maitournam, Abdou Baoua

DOI: 10.5958/2349-2988.2018.00006.2         Access: Open Access Read More

Author(s): A.K. Meena, Kiran Sharma, Vikas Jain, Bhavana Pal, Ajit K., Uttam Singh, R. Singh , M.M. Rao

DOI:         Access: Open Access Read More

Author(s): B. Vishali, J. Venkatesu Naik

DOI: 10.5958/2349-2988.2017.00108.5         Access: Open Access Read More

Author(s): Pooja Yadav, Ayush Victor, V M Berlin Grace, C. Vani

DOI: 10.5958/2349-2988.2018.00039.6         Access: Closed Access Read More

Author(s): Koushik Sadhukhan, Dhara Dholakia, Anasuya L Bhadalkar

DOI: 10.5958/2349-2988.2018.00023.2         Access: Open Access Read More

Author(s): S. K. Painkra, D.P. Singh, A. S. Chauhan

DOI:         Access: Open Access Read More

Author(s): Monika, Neena Sareen, Deepali Dhawan, Suman Sharma

DOI: 10.5958/2349-2988.2018.00017.7         Access: Open Access Read More

Author(s): Ravi Natvarlal Patel, Urviben Yashodharbhai Patel , Dhrubo Jyoti Sen

DOI:         Access: Open Access Read More

Author(s): Dubey R.D., Ahmad A.R., Paroha S., Gupta R.K., Sahu P. K., Verma S., Daharwal S. J., Prasad Reddy S.L.N.

DOI:         Access: Open Access Read More

Author(s): P.S. Kusro, J.K. Tiwari, S. Agrawal, J.L. Chaudhary

DOI:         Access: Open Access Read More

Author(s): S. K. Kango, Sanjay Sharma, Vikram Singh

DOI:         Access: Open Access Read More

Research Journal of Science and Technology (RJST) is an international, peer-reviewed journal, devoted to science and technology...... Read more >>>

RNI: Not Available                     
DOI: 10.5958/2349-2988 


Recent Articles




Tags