Electrohydro dynamics convection in dielectric rotating Oldroydian nanofluid in porous medium

Pushap Lata  Sharma; Mohini  Kapalta; Ashok Kumar; Deepak Bains; Sumit Gupta; Pankaj Thakur

doi:10.46481/jnsps.2023.1231

Authors

Pushap Lata Sharma Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
Mohini Kapalta Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
Ashok Kumar Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
Deepak Bains Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla, India
Sumit Gupta Rajiv Gandhi Govt college Chaura Maidan, Shimla, India
Pankaj Thakur
[email protected]
Faculty of Science and Technology, ICFAI University, Baddi, Solan, India https://orcid.org/0000-0001-8119-2697

Keywords:

convection, dielectric, electric field, nanofluid, Oldroydian, porous medium, rotation

Abstract

An electrically conducting nanofluid saturated with a uniform porous media has been tested to determine how rotation affects thermal convection. Utilizing the Oldroydian model, which incorporates the specific effects of the electric field, Brownian motion, thermophoresis, and rheological factors for the distribution of nanoparticles that are top- and bottom-heavy, one may use linear stability theory to ensure stability. Analysis and graphical representation of the effects of the AC electric field Rayleigh number, Taylor number, Lewis number, modified diffusivity ratio, concentration Rayleigh number, and medium porosity are provided for both bottom-heavy and top-heavy distribution.

Dimensions

REFERENCES

S. U. S. Choi, “Enhancing thermal conductivity of fluids with nanoparticles”, Siginer, D. A., Wang, H. P. (eds.) Developments and Applications of Non-Newtonian Flows 66 (1995) 99.

D. A. Nield & A. V. Kuznetsov, “The onset of convection in a horizontal nanofluid layer of finite depth”, European Journal of Mechanics-B/fluids 29 (2010) 217.

L. J. Sheu, “Thermal instability in a porous medium layer saturated with a viscoelastic nanofluid”, Transport in Porous Media 88 (2011) 461.

V. Sharma, R. Kumari & S. Garga, “Overstable convection in rotating Oldroydian nanofluid layer saturated a Darcy-Brinkman porous medium embedded by dust particle”, Recent Trends in Algebra and Mechanics 18 (2014) 149.

W. Yu & S. U. S. Choi, “The role of interfacial layers in the enhanced thermal conductivity of nanofluids: A renovated Maxwell model”, Journal of Nanoparticle Research 5 (2003) 167.

T. B. Jones, “Electrohydrodynamically enhanced heat transfer in liquids a review”, Advances in Heat Transfer 14 (1978) 107.

X. Chen, J. Cheng & X. Yin, “Advances and applications of electro hydrodynamics”, Chinese Science Bulletin 48 (2003) 1055.

P. J. Stiles, F. Lin & P. J. Blennerhassett, Convective heat transfer through polarized dielectric liquids, Physics of Fluids, 5 (1993) 3273.

I. S. Shivakumara, J. Lee, K. Vajravelu & M. Akkanagamma, “Electrothermal convection in a rotating dielectric fluid layer: Effect of velocity and temperature boundary conditions”, International Journal of Heat and Mass Transfer 55 (2012) 2984.

V. Sharma, A. Chowdhary & U. Gupta, “Electrothermal convection in dielectric Maxwellian nanofluid layer”, Journal of Applied Fluid Mechanics11, (2018) 765.

P. L. Sharma, Deepak & A. Kumar, “Effects of rotation and magnetic Field on thermosolutal convection in elastico-viscous Walters’ (model B’) nanofluid with porous medium”, Stochastic Modeling & Applications 26 (2022) 21.

P. L. Sharma, A. Kumar & G. C. Rana, “On the principle of exchange of stabilities in a Darcy Brinkman porous medium for a Rivlin-Ericksen fluid permeated with suspended particles using positive operator method”, Stochastic Modeling & Applications, 26 (2022) 47.

P. L. Sharma, Deepak, A. Kumar & P. Thakur, “Effects of rotation on thermosolutal convection in Jeffrey nanofluid with porous medium”, Structural Integrity and Life (2022).

A. Kumar, P. L. Sharma, Deepak & P. Thakur, “Thermosolutal convection in Jeffrey nanofluid with porous medium”, Structural Integrity and Life (2022).

P. L. Sharma, M. Kapalta, Deepak, A. Kumar, V. Sharma & P. Thakur, “Electrohydrodynamics convection in dielectric Oldroydian nanofluid layer in a porous medium”, Structural integrity and life (2022).

P. K. Gautam, G. C. Rana & H. Saxena, “Stationary convection in the electrohydrodynamics thermal instability of Jeffrey nanofluid layer saturating a porous medium: free-free, rigid-free and rigid-rigid”, Journal of Porous Media 23 (2020) 1043.

I. S. Shivakumara, N. Rudraiah, J. Lee & K. Hemalatha, “The onset of Darcy-Brinkman electroconvection in a dielectric fluid saturated porous layer”, Transport in Porous Media 90 (2011) 509.

R. Chand, G. C. Rana & D. Yadav, “Electrothermo convection in a porous medium saturated by nanofluid”, Journal of Applied Fluid Mechanics 9 (2016) 1081.

M. Ramanuja, J. Kavitha, A.Sudhakar & N. Radhika, “Study of MHD SWCNT-Blood Nanofluid Flow in Presence of Viscous Dissipation and Radiation Effects through Porous Medium”, Journal of the Nigerian Society of Physical Sciences 5 (2023) 1054.

F.O. Akinpelu, R.A. Oderinu & A.D. Ohaegbue, “Analysis of Hydromagnetic Double Exothermic Chemical Reactive Flow with Convective Cooling through a Porous Medium under Bimolecular Kinetics”. Journal of the Nigerian Society of Physical Sciences 4 (2022) 130.