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Abstrakty
The purpose of this paper is to study the thermal instability analysis of an elastico-viscous nanofluid layer heated from below. The Rivlin-Ericksen type fluid model is used to describe the rheological behavior of an elastico-viscous nanofluid. The linear stability criterion for the onset of both stationary and oscillatory convection is derived by applying the normal model analysis method. The presence of nanoparticles enhances the thermal conductivity of the fluid, and the model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The effect of the physical parameters of the system, namely the concentration Rayleigh number, Prandtl number, capacity ratio, Lewis number, and kinematic visco-elasticity coefficient, on the stability of the system is numerically investigated. In addition, sufficient conditions for the non-existence of oscillatory convection are reported.
Czasopismo
Rocznik
Tom
Strony
301--324
Opis fizyczny
Bibliogr. 43 poz., rys., wykr.
Twórcy
autor
- Department of Mathematics Government College Nurpur, Himachal Pradesh, India
autor
- Department of Mathematics NSCBM Govt. College Hamirpur Himachal Pradesh, India
autor
- Department d’ Enginyeria Informatica i Matematiques Universitat Rovira i Virgili, Adva, Paisos Catalans 26, Tarragona, Catalonia, Spain
Bibliografia
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- 2. Bhatia P.K., Steiner J.M., Thermal instability of visco-elastic fluid in hydromagnetics, Journal of Mathematical Analysis and Applications, 41(2): 271–282, 1973.
- 3. Scanlon J.W., Segel L.A., Some effect of suspended particles on onset of Bénard Convection, Physics of Fluids, 16(10): 1573–1578, 1973, doi: 10.1063/1.1694182.
- 4. Choi S., Eastman J.A., Enhancing thermal conductivity of fluids with nanoparticles, [in:] D.A. Siginer and H.P. Wang [Eds.], Developments and Applications of Non-Newtonian Flows, ASME FED, 66: 99–105, 1995.
- 5. Xuan Y., Li Q., Investigation of convective heat transfer and flow features of nanofluids, ASME Journal of Heat Transfer, 125(1): 151–155, 2003.
- 6. Buongiorno J., Convective transport in nanofluids, ASME Journal of Heat Transfer, 128(3): 240–250, 2005.
- 7. Tzou D.Y., Thermal instability of nanofluids in natural convection, International Journal of Heat and Mass Transfer, 51(11–12): 2967–2979, 2008.
- 8. Alloui Z., Vasseur, P., Reggio M., Natural convection of nanofluids in a shallow cavity heated from below, International Journal of Thermal Science, 50(3): 385–393, 2011.
- 9. Yadav D., Agrawal G.S., Bhargava R., Rayleigh-Bénard convection in nanofluid, International Journal of Applied Mathematics and Mechanics, 7: 61–76, 2010.
- 10. Kuznetsov A.V., Nield D.A., Effect of local thermal non-equilibrium on the onset of convection in a porous medium layer saturated by a nanofluid, Transport in Porous Media, 83(2): 425–436, 2010.
- 11. Kuznetsov A.V., Nield D.A., Thermal instability in a porous medium layer saturated by a nanofluid: Brinkman model, Transport in Porous Media, 81(3): 409–422, 2010.
- 12. Kuznetsov A.V., Nield D.A., The onset of double-diffusive nanofluid convection in a layer of saturated porous medium, Transport in Porous Media, 85(3): 941–951, 2010.
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- 18. Chand R., 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: 5417–5424, 2012.
- 19. Chand R., Rana G.C., Oscillating convection of nanofluid in porous medium, Transport in Porous Media, 95(2): 269–284, 2012.
- 20. Chand R., Rana G.C., Hall effect on the thermal instability in a horizontal layer of nanofluid, Journal of Nanofluids, 3(3): 247–253, 2014.
- 21. Chand R., Rana G.C., Thermal instability in a Brinkman porous medium saturated by nanofluid with no nanoparticle flux on boundaries, Special Topics & Reviews in Porous Media: An International Journal, 5(3): 277–286, 2014.
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- 26. Chand R., Rana G.C., Hussein A., Effect of suspend ed particles on the onset of thermal convection in a nanofluid layer for more realistic boundary conditions, International Journal of Fluid Mechanics Research, 42: 375–390, 2015.
- 27. Rana G.C., Thakur R.C., Kango S.K., On the onset of double-diffusive convection in a layer of nanofluid under rotation saturating a porous medium, Journal of Porous Media, 17(8): 657–667, 2015.
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- 32. Prakash K., Chand R., Effect of kinematic visco-elasticity instability of a RivlinEricksen elastico-viscous fluid in porous medium, Ganita Sandesh, 14: 1–8, 1999.
- 33. Prakash K., Chand R., Thermal instability of Oldroydian visco-elastic fluid in the presence of finite Larmor radius, rotation and variable gravity field in porous medium, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 72: 373–386, 2002.
- 34. Rana G.C., Chand R., Effect of rotation on the onset of compressible Rivlin-Ericksen fluid heated from below saturating a Darcy-Brinkman porous medium, Research Journal of Engineering and Technology, 3(2): 76–81, 2012.
- 35. Sharma V., Rana G.C., Thermosolutal instability of Rivlin-Ericksen rotating fluid in the presence of magnetic field and variable gravity field in porous medium, Proceedings of National Academy of Science INDIA, 73: 93–112, 2003.
- 36. Gupta U., Sharma G., On Rivlin-Erickson elastico-viscous fluid heated and soluted from below in the presence of compressibility, rotation and Hall currents, Journal of Applied Mathematics and Computing, 25(1–2): 51–66, 2007.
- 37. Chand R., Rana G.C., Dufour and Soret effects on the thermosolutal instability of Rivlin-Ericksen elastico-viscous fluid in porous medium, Zeitschrift für Naturforschung A, 67(12): 685–691, 2012.
- 38. Rana G.C., Thermal instability of compressible Rivlin-Ericksen elastico-viscous rotating fluid permeated with suspended dust particles in porous medium, International Journal of Applied Mathematics and Mechanics, 8: 97–110, 2012.
- 39. Chand R., Rana G.C., Thermal instability of Rivlin-Ericksen elastico-viscous nanofluid saturated by a porous medium, ASME Journal of Fluids Engineering, 134(12): 121203-1– 121203-7, 2012, doi: 10.1115/1.4007901.
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- 41. Rana G.C., Chand R., Stability analysis of double-diffusive convection of RivlinEricksen elastico-viscous nanofluid saturating a porous medium: a revised model, Forsch Ingenieurwes, 79: 87–95, 2015.
- 42. Sheu L.J., Thermal instability in a porous medium layer saturated with a viscoelastic nanofluid, Transport in Porous Media, 88(3): 461–477, 2011.
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Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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