Skip to main content

Unsteady Heat Transfer from a Non-isothermal Axisymmetric Body Immersed in Porous Media Saturated by Nanofluid

  • Conference paper
  • First Online:
Book cover Advances in Fluid Mechanics and Solid Mechanics

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 616 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. 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

    Article  Google Scholar 

  2. 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

    Article  Google Scholar 

  3. Pop I, Ingham D (2001) Convective heat transfer

    Chapter  Google Scholar 

  4. Nield DA, Bejan A (2017) Convection in porous media

    Google Scholar 

  5. Wafai K (2015) Handbook of porous media

    Google Scholar 

  6. Dass SK, Choi SUS, Yu W, Pradeep T (2008) Nanofluids science and technology

    Google Scholar 

  7. 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

    Article  Google Scholar 

  8. 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

    Article  Google Scholar 

  9. 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

    Article  Google Scholar 

  10. 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

    MATH  Google Scholar 

  11. 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

    Article  Google Scholar 

  12. 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

    Article  Google Scholar 

  13. 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

    Article  Google Scholar 

  14. 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

    Article  Google Scholar 

  15. 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

    Article  MathSciNet  Google Scholar 

  16. 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

    Article  Google Scholar 

  17. 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

    Article  Google Scholar 

  18. 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

    Article  Google Scholar 

  19. Cebeci T, Bradshaw P (1988) Physical and computational aspects of convective heat transfer. Springer, New York

    Book  Google Scholar 

  20. Keller HB (1992) Numerical methods for two-point boundary value problems. Dover, New York, USA

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shobha Bagai .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

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)

Publish with us

Policies and ethics