Abstract
The intent of this paper is to present the numerical results for transient heat transfer across an axisymmetric non-isothermal body embedded in porous media saturated by nanofluid. A non-linear coupled PDE is reduced using dimensionless similarity variables and is solved using Keller Box method. Buoyancy ratio Nr, Brownian motion Nb and thermophoresis Nt are the parameters considered in this study. The effect of Lewis number Le and non-Newtonian parameter N on reduced Nusselt number and reduced Sherwood number is recorded in tabular form for isothermal as well as for non-isothermal bodies. The heat flux for different values of non-Newtonian parameter N is plotted in the case of sphere and cylinder at different time levels.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Mahdi RA, Mohammed HA, Munisamy KM, Saeid NH (2015) Review of convection heat transfer and fluid flow in porous media with nanofluid. Renew Sustain Energy Rev 41:715–734. https://doi.org/10.1016/j.rser.2014.08.040
Kasaeian A, Daneshazarian R, Mahian O, Kolsi L, Chamkha AJ, Wongwises S, Pop I (2017) Nanofluid flow and heat transfer in porous media: a review of the latest developments. IJHMT 107:778–791. https://doi.org/10.1016/j.ijheatmasstransfer.2016.11.074
Pop I, Ingham D (2001) Convective heat transfer
Nield DA, Bejan A (2017) Convection in porous media
Wafai K (2015) Handbook of porous media
Dass SK, Choi SUS, Yu W, Pradeep T (2008) Nanofluids science and technology
Kuznetsov AV, Nield DA (2010) Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int J Therm Sci 49(2):243–247. https://doi.org/10.1016/j.ijthermalsci.2009.07.015
Noghrehabadi A, Ghalambaz M, Ghanbarzadeh A (2014) Effects of variable viscosity and thermal conductivity on natural-convection of nanofluids past a vertical plate in porous media. J Mech 30(3):265–275. https://doi.org/10.1017/jmech.2013.61
Gorla RSR, Kumari M (2003) Free convection in non-Newtonian fluids along a horizontal plate in a porous medium. Heat Mass Transf 39:101–106. https://doi.org/10.1007/s00231-002-0351-6
Tham L, Nazar R (2012) Numerical solution of mixed convection flow about a sphere in a porous medium saturated by a nanofluid. J Sci Technol 4:35–46
Gorla RSR, Chamkha AJ, Ghodeswar K (2014) Natural convective boundary layer flow over a vertical cone embedded in a porous medium saturated with a nanofluid. J Nanofluids 3:65–71. https://doi.org/10.4236/jmp.2011.22011
Degan G, Akowanou C, Awanou N (2007) Transient natural convection of non-Newtonian fluids about a vertical surface embedded in an anisotropic porous medium. Int J Heat Mass Trans 50:4629–4639. https://doi.org/10.1016/j.ijheatmasstransfer.2007.03.023
Amin MEl, Salama A, Suna S (2012) A conditionally stable scheme for a transient flow of a non-Newtonian fluid saturating a porous medium. Procedia Comput Sci 9:651–660. https://doi.org/10.1016/j.procs.2012.04.070
Chamkha AJ, Rashad AM (2012) Natural convection from a vertical permeable cone in a nanofluid saturated porous media for uniform heat and nanoparticles volume fraction fluxes. Int J Numer Methods Heat Fluid Flow 22(8):1073–1085. https://doi.org/10.1108/09615531211271871
Loganathan P, Chand PN, Ganesan P (2015) Transient natural convective flow of a nanofluid past a vertical plate in the presence of heat generation. J Appl Mech Tech Phy 56:433. https://doi.org/10.1134/S002189441503013X
Sheremet MA, Pop I, Shenoy A (2015) Unsteady free convection in a porous open wavy cavity filled with a nanofluid using Buongiorno’s mathematical model. Int Commun Heat and Mass 67:66–72. https://doi.org/10.1016/j.icheatmasstransfer.2015.07.007
Rajesh V, Mallesh MP, Bég OA (2015) Transient MHD free convection flow and heat transfer of nanofluid past an impulsively started vertical porous plate in the presence of viscous dissipation. Procedia Mater Sci 10:80-89. https://doi.org/10.1016/j.mspro.2015.06.028
Bagai S, Nishad C (2014) Buoyancy induced flow past a non-isothermal arbitrary shaped axisymmetric body immersed in a non-Newtonian porous medium saturated by a nanofluid. J Nanofluids 3:287–295. https://doi.org/10.1166/jon.2014.1106
Cebeci T, Bradshaw P (1988) Physical and computational aspects of convective heat transfer. Springer, New York
Keller HB (1992) Numerical methods for two-point boundary value problems. Dover, New York, USA
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Bagai, S., Sharma, M. (2020). Unsteady Heat Transfer from a Non-isothermal Axisymmetric Body Immersed in Porous Media Saturated by Nanofluid. In: Maity, D., Siddheshwar, P., Saha, S. (eds) Advances in Fluid Mechanics and Solid Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0772-4_3
Download citation
DOI: https://doi.org/10.1007/978-981-15-0772-4_3
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-15-0771-7
Online ISBN: 978-981-15-0772-4
eBook Packages: EngineeringEngineering (R0)