The Thermosolutal Convection in Elastico-viscous Nanofluid with Rotation in the Presence of Porous Medium

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-9
Year of Publication : 2021
Authors : Sudhir Kumar Pundir, Mukul Kumar, Rimple Pundir
  10.14445/22315373/IJMTT-V67I9P515

MLA

MLA Style: Sudhir Kumar Pundir, Mukul Kumar, Rimple Pundir" The Thermosolutal Convection in Elastico-viscous Nanofluid with Rotation in the Presence of Porous Medium" International Journal of Mathematics Trends and Technology 67.9 (2021):130-137. 

APA Style: Sudhir Kumar Pundir, Mukul Kumar, Rimple Pundir(2021). The Thermosolutal Convection in Elastico-viscous Nanofluid with Rotation in the Presence of Porous Medium  International Journal of Mathematics Trends and Technology, 67(9), 130-137.

Abstract
In this paper, we studied the effect of rotation on the thermosolutal convection in visco-elastic nanofluid in the presence of porous medium using Walters` (model B`). The system of nanofluid layer in which nanoparticle concentration on the bottom is lower than that at the top is considered. To solve the conservation equation, we used the normal mode technique and Galerkin weighted residual method. For stationary convection, the onset criterion derived analytically and experiential that visco-elastic nanofluid behaves as a regular Newtonian nanofluid. The Oscillatory convection does not exist. The effect of rotation, thermo-nanofluid Lewis number, thermosolutal Lewis number and solutal Rayleigh number analyze analytically and graphically.

Reference

[1] Buongiorno, J., Convective transport in nanofluids, ASME Journal of Heat Transfer, 128 (3) (2006) 240-250.
[2] Chandrasekhar S., Hydrodynamic and hydromagnetic stability, Dover Publication, New York, (1981).
[3] Chand R. and Rana G. C., On the onset of thermal convection in rotating nanofluid layer saturating a Darcy-Brinkman porous medium, International Journal of Heat and Mass Transfer, 55 (2012) 5417-5424.
[4] Choi S., Enhancing thermal conductivity of fluids with nanoparticles, In D.A. Siginer, H.P. Wang (Eds.), Development and Applications of Non-Newtonian Flows, ASME FED- 231/MD, 66 (1995) 99-105.
[5] Gupta U., Sharma J. and Sharma V., Instability of binary nanofluids with magnetic field, Applied Mathematics and Mechanics, 36 (2015) 693-706.
[6] Gupta U., Sharma J. and Wanchoo R. K., Thermosolutal convection in a horizontal nanofluid layer: Introduction of oscillatory motion, Recent Advance in Engineering and Computation Science, IEEE, Chandigarh, India, Print ISBN 978-1-4799-2290-1, (2014).
[7] Kumar V., Abhilasha and Pundir S. K., Thermosolutal instability of couple-stress rotation fluid in the presence of magnatic field, International Transactions in Applied Sciences, 1(1) (2009) 113-124.
[8] Kuznetsov A.V. and Nield A. V., the onset of double diffusive nanofluid convection in a layer of a saturated porous medium, Transp. Porous Medium, 85 (2010) 941-951.
[9] Nield A. V. and Kuznetsov A.V., the onset of double diffusive convection in a nanofluid saturated porous medium, International journal of Heat and Fluid Flow, 34 (2011) 771-776.
[10] Pundir S. K., Kumar M. and Pundir R., on the onset of thermosolutal convection of an elastic-viscous nanofluid in porous medium in presence of magnetic field, Compliance Engineering Journal, 11(2020) 104-112.
[11] Rana G.C. and Sharma V., Hydromagnetic thermosolutal instability of Walters` (model B’) rotating fluid permeated with suspended particles in porous medium, The International Journal of Multiphysics, 5(2011) 325-338.
[12] Sharma J. and Gupta U, Double diffusive nanofluid convection in porous medium with rotation: Darcy-Brinkman model, Procedia Engineering, 127 (2015) 783-790.
[13] Yadav D., Agarwal G. S, and Bhargav R., the onset of convection in a binary nanofluid saturated layer, International Journal of Theortical and Applied Multiscale Mechanics, 2 (2012) 198-224.

Keywords : Nanofluid; thermosolutal instability; Walters` (model B`); porous medium; rotation.