MISCELLANEOUS
Effect of Suspended Particles on Thermosolutal Convection of Rivlin-Ericksen Fluid in Porous Medium with Variable Gravity
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1
Department of Mathematics, Jaypee University of Information Technology, A-10, Sector-62, Noida (UP), India
2
Department of Mathematics, K.I.E.T Group of Institutions, Ghaziabad (UP), India
Online publication date: 2018-08-20
Publication date: 2018-08-01
International Journal of Applied Mechanics and Engineering 2018;23(3):813-820
KEYWORDS
ABSTRACT
The thermosolutal stability of a layer of the Rivlin-Ericksen fluid in a porous medium is considered under varying gravity conditions. It is found that for stationary convection, medium permeability and suspended particles have a destabilizing/stabilizing effect when gravity increases/decreases. The stable solute gradient has a stabilizing effect on the system.
FUNDING
This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.
CONFLICT OF INTEREST
The authors declare that they have no conflict of interest.
DATA AVAILABILITY
All data generated or analysed during this study are included in this published article.
REFERENCES (25)
1.
Helmholtz H. (1868): Uber discontinuirliche Flussigkeitsbewegungen. – Phil. Mag. Ser. 4, 36, pp.337.
2.
Rayleigh Lord (1880): On the stability or instability of certain fluid motions. – Proc. London Math. Soc, vol.11, pp.57-70.
3.
Stern M.E. (1960): The ‘salt-fountain’ and thermohaline convection. – Tellus 12, pp.172.
4.
Veronis G. (1965): On finite amplitude instability inthermohaline convection. – J. Marine Res., vol.23, pp.1-7.
5.
Nield D.A. (1967): The thermohaline Rayleigh-Jeffreys problem. – J. Fluid Mechanics., vol.29, pp.545.
6.
Bejan A. (1984): Convection Heat Transfer. – New York: Wiley Publications.
7.
Benard H. (1900): Les tourbillons cellulaires dans une nappe liquide. – Revue Generale des Sciences Pures et Appliqués, vol.11, pp.1261-1271 and pp.1309-1328.
8.
Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. – New York: Dover Publications.
9.
Rumford C. (1870): Of the propagation of heat in fluids, the complete works of count Rumford. – Vol.1, pp.237- 400. American Academy of Arts and Sciences. Boston.
10.
Thompson J. (1882): On a changing tessellated structure in certain liquids. – Proc. Phill. Soc. Glasgow, vol.13, pp.464-468.
11.
Ostrach S. (1957): Convection phenomenon in fluids heated from below. – Trans. ASME., vol.79, pp.299-305.
12.
Pradhan G.K. and Samal P.C. (1987): Thermal instability of fluid layer under variable body forces. – J. Math. Anal. Appl., vol.122, pp.487-495.
13.
Rana G.C. (2013): Thermosolutal convection in Walters’ (Model B’) rotating fluid permeated with suspended particles and variable gravity field in porous medium in hydromagnetics. – Journal of Applied Fluid Mechanics, vol.06, pp.87-94.
14.
Aggarwal A.K. and Prakash K. (2007): Thermosolutal Instability of an elastico-viscous fluid in porous medium in presence of suspended particles. – Proceedings of the Indo-Australian Workshop and Symposium on CFD Approach on Fluid Flow, Heat and Mass Transfer and Applications in Multidisciplinary Areas, Research Publishing Services, ISBN:978-81-904262-6-8, pp.1-6.
15.
Aggarwal A.K. and Verma A. (2014): The effect of compressibility, rotation and magnetic field on thermal stability of Walters’ fluid permeated with suspended particles in porous medium. – Thermal Science, vol.18, pp.539-550.
16.
Aggarwal A.K. and Verma A. (2008): Thermal instability of a rotating viscoelastic fluid permeated with suspended particles in hydromagnetics. – Continuum Mechanics, pp.302-306.
17.
Aggarwal A.K. and Makhija S. (2011): Combined effect of magnetic field and rotation on thermal stability of couple-stress fluid heated from below in presence of suspended particles. – International Journal of Applied Mechanics and Engineering, vol.16, pp.931-942.
18.
Aggarwal A.K. and Verma A. (2010): Effect of rotation and magnetic field on thermal instability of a viscoelastic fluid permeated with suspended particles. – WSEAS Transactions on Mathematics, vol.9, pp.593-602.
19.
Aggarwal A.K. and Verma A. (2012): Effect of suspended particles, magnetic field and rotation on the thermal stability of a ferromagnetic fluid. – International Journal of Applied Mechanics and Engineering, vol.17, pp.1109- 1122.
20.
Aggarwal A.K. (2010): Effect of rotation on thermosolutal convection in a Rivlin-Ericksen fluid permeated with suspended particles in porous medium. – Advances in Theoretical and Applied Mechanics, vol.3, pp.177-188.
21.
Aggarwal A.K. and Makhija S. (2012): Hall effect on thermal stability of ferromagnetic fluid in the presence of suspended particles. – International Journal of Applied Mechanics and Engineering, vol.17, pp.349-365.
22.
Aggarwal A.K. and Verma A. (2016): Effect of Hall currents on thermal instability of dusty couple stress fluid. – Archives of Thermodynamics, vol.37, pp.3-18.
23.
Agarwal S. and Rana P. (2016): Periodic and a periodic convective stability analysis of double diffusive nanofluid convection in a rotating porous layer. – Applied Mathematics and Mechanics, Springer, vol.37, pp.215-226.
24.
Gupta U. and Aggarwal P. (2011): Thermal instability of compressible Walter’s fluid in the presence of hall currents and suspended particles. – Thermal Science, vol.15, pp.487-500.
25.
Kumar P. and Mohan H. (2012): Thermal instability of a heterogeneous Oldroydian viscoelastic fluid heated from below in porous medium. – Journal of Theoretical and Applied Mechanics, vol.50, pp.943-951.