Skip to main content
SpringerLink
Log in

Dissipative Effect on Heat and Mass Transfer by Natural Convection over a Radiating Needle in a Porous Medium

  • Conference paper
  • First Online:
Numerical Heat Transfer and Fluid Flow

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

  • 1976 Accesses

Abstract

The paper deals with the effects of buoyancy (N), Lewis number (Le), radiation parameter (R), and viscous dissipation (Ec) on the natural convective heat and mass transfer from a radiating needle in a porous medium. In the analysis of the problem, an integral approach of Von Karman type has been adopted, and the numerical values computed pertaining to the local Nusselt and local Sherwood numbers have been compared with the earlier published values. The results have been found in excellent agreement.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
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. Lai, F.C., Choi, C.Y., Kulacki, F.A.: Coupled heat and mass transfer by natural convection from slender bodies of revolution in porous media. Int. Commun. Heat Mass Transf. 17(15), 609–620 (1990). https://doi.org/10.1016/0735-1933(90)90009-9

    Article  Google Scholar 

  2. Lai, F.C., Kulacki, F.A.: Coupled heat and mass transfer by natural convection from vertical surfaces in porous media. Int. J. Heat Mass Transf. 34(4–5), 1189–1194 (1991). https://doi.org/10.1016/0017-9310(91)90027-C

    Article  Google Scholar 

  3. Nakayama, A., Hossain, M.A.: An integral treatment for combined heat and mass transfer by natural convection in a porous medium. Int. J. Heat Mass Transf. 38(4), 761–765 (1995). https://doi.org/10.1016/0017-9310(95)93012-7

    Article  Google Scholar 

  4. Singh, P.: Queeny. Free convection heat and mass transfer along a vertical surface in a porous medium. Acta Mech. 123(1–4), 69–73 (1997). https://doi.org/10.1007/BF01178401

    Article  MATH  Google Scholar 

  5. Angirasa, D., Peterson, G.P., Pop, I.: Combined heat and mass transfer by natural convection with opposing buoyancy effect in a fluid saturated porous medium. Int. J. Heat Mass Transf. 40(12), 2755 (1997). https://doi.org/10.1016/S0017-9310(96)00354-7

    Article  MATH  Google Scholar 

  6. Amahmid, A., Hasnaoui, M., Mamou, M., Vasseur, P.: Boundary layer flows in a vertical porous enclosure induced by opposing buoyancy forces. Int. J. Heat Mass Transf. 42(19), 3599–3608 (1999). https://doi.org/10.1016/S0017-9310(99)00019-8

    Article  MATH  Google Scholar 

  7. Yih, K.A.: Coupled heat and mass transfer by free convection over a truncated cone in porous media: VWT/VWC or VHF/VMF. Acta Mech. 137(1–2), 83–97 (1999). https://doi.org/10.1007/BF01313146

    Article  MATH  Google Scholar 

  8. Chamkha, A.J.: Coupled heat and mass transfer by natural convection about a truncated cone in the presence of magnetic field and radiation effects. Numer. Heat Transf. 39(5), 511–530 (2001). https://doi.org/10.1080/10407780120202

    Article  Google Scholar 

  9. Bansod, V.J., Singh, P., Rathishkumar, B.V.: Heat and mass transfer by natural convection from a vertical surface to the stratified Darcian fluid. J. Porous Media 5(1), 57–66 (2002). https://doi.org/10.1615/JPorMedia.v5.i1.60

    Article  MATH  Google Scholar 

  10. Bansod, V.J.: The Darcy model of the boundary layer flows in a horizontal porous medium induced by combined buoyancy forces. J. Porous Media 6(4), 273–281 (2003). https://doi.org/10.1615/JPorMedia.v6.i4.60

    Article  MATH  Google Scholar 

  11. Singh, B.B., Chandarki, I.M.: Integral treatment of coupled heat and mass transfer by natural convection from a cylinder in porous media. Int. Commun. Heat Mass Transf. 36(3), 269–273 (2009). https://doi.org/10.1016/j.icheatmasstransfer.2008.11.007

    Article  Google Scholar 

  12. Vyas, P., Shrivastava, N.: Radiative MHD flow over a non-isothermal stretching sheet in a porous medium. App. Math. Sci. 4(50), 2475–2484 (2010)

    MATH  Google Scholar 

  13. Vyas, P., Ranjan, A.: Dissipative MHD boundary layer flow in a porous medium over a sheet stretching non-linearly in the presence of radiation. App. Math. Sci. 4(63), 3133–3142 (2010)

    MATH  Google Scholar 

  14. Chauhan, D.S., Kumar, V.: Radiation effects on mixed convection flow and viscous heating in a vertical channel partially filled with a porous medium. Tamkang J. Sci. Eng. 14(2), 97–106 (2011). https://doi.org/10.6180/jase.2011.14.2.02

    Article  Google Scholar 

  15. Baoku, I.G., Israel- Cookey, C., Olajuwan, B.I.: Influence of thermal radiation on a transient MHD Coutte flow through a porous medium. J. App. Fluid Mech. 5(1), 81–87 (2012)

    Google Scholar 

  16. Babu, P.R., Rao, J.A., Sheri, S.: Radiation effect on MHD heat and mass transfer flow over a shrinking sheet with mass suction. J. App. Fluid Mech. 7(4), 641–650 (2014)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Dr. Babasaheb Ambedkar Technological University, Lonere, Raigad, 402103, Maharashtra, India

    S. R. Sayyed, B. B. Singh & Nasreen Bano

Authors
  1. S. R. Sayyed
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. B. Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Nasreen Bano
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. R. Sayyed .

Editor information

Editors and Affiliations

  1. National Institute of Technology Warangal, Warangal, Telangana, India

    D. Srinivasacharya

  2. Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    K. Srinivas Reddy

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Sayyed, S.R., Singh, B.B., Bano, N. (2019). Dissipative Effect on Heat and Mass Transfer by Natural Convection over a Radiating Needle in a Porous Medium. In: Srinivasacharya, D., Reddy, K. (eds) Numerical Heat Transfer and Fluid Flow. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-1903-7_57

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-1903-7_57

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1902-0

  • Online ISBN: 978-981-13-1903-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation