Skip to main content

Part of the book series: NATO ASI Series ((NSSE,volume 196))

Abstract

Under certain conditions, the heat transfer rate from a surface covered with hair is due to two competing effects: i) the heat transfer to the slowed air flow, through the bare portions of the skin, and ii) the heat transfer through all the hair strands, which act as fins. One result of this competition is the existence of an optimum hair strand diameter for minimum overall heat transfer. In forced convection, the optimum hair strand diameter increases as the length of the skin surface, raised to the power 1/2. In natural convection, the optimum diameter is proportional to the height of the skin surface raised to the power 1/4. These trends agree qualitatively with measurements of the hair sizes of various mammals.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 429.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 549.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 549.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  • Bejan, A. (1984) Convective Heat Transfer, Wiley, New York, p. 85.

    Google Scholar 

  • Bejan, A. (1990a) “Theory of Heat Transfer from a Surface Covered with Hair,” J. Heat Transfer. Vol. 112, to appear.

    Google Scholar 

  • Bejan, A. (1990b) “Optimum Hair Strand Diameter for Minimum Free-Convection Heat Transfer from a Surface Covered with Hair,” Int. J. Heat Mass Transfer, Vol. 33, pp. 206–209.

    Article  Google Scholar 

  • Cheng, P. (1985) “Geothermal Heat Transfer,” chapter 11 in Handbook of Heat Transfer Applications, second edition, Rohsenow, W. M., Hartnett, J. P. and Ganic, E. N., McGraw-Hill, New York.

    Google Scholar 

  • Cheng, P. and Minkowycz, W. J. (1977) “Free Convection about a Vertical Flat Plate Embedded in a Saturated Porous Medium with Application to Heat Transfer from a Dike,” J. Geophys. Res., Vol. 82, pp. 2040–2044.

    Article  ADS  Google Scholar 

  • Eidsath, A., Carbonell, R. G., Whitaker, S. and Herrmann, L. R. (1983) “Dispersion in Pulsed Systems III-Comparison between Theory and Experiments for Packed Beds,” Chem. Eng. Sci., Vol. 38, pp. 1803–1816.

    Article  Google Scholar 

  • Happel, J. (1959) “Viscous Flow Relative to Arrays of Cylinders,” AIChE J., Vol. 5, pp. 174–177.

    Article  Google Scholar 

  • Incropera, F. P. and DeWitt, D. P. (1985) Fundamentals of Heat and Mass Transfer, second edition, Wiley, New York, pp. 766–767.

    Google Scholar 

  • Lage, J. L. and Bejan, A. (1990), “Numerical Study of Forced Convection near a Surface Covered with Hair,” Int. J. Heat Fluid FloW, Vol. 11, to appear.

    Google Scholar 

  • Poulikakos, D. and Kazmierczak, M. (1987) “Forced Convection in a Duct Partially Filled with a Porous Material,” J. Heat Transfer, Vol. 109, pp. 653–662.

    Article  Google Scholar 

  • Poulikakos, D. and Renken, K. (1987) “Forced Convection in a Channel Filled with a Porous Medium Including the Effects of Flow Inertia, Variable Porosity and Brinkman Friction,” J. Heat Transfer, Vol. 109, pp. 880–888.

    Article  Google Scholar 

  • Renken, K. J. and Poulikakos, D. (1988) “Experiment and Analysis of Forced Convective Heat Transport in a Packed Bed of Spheres,” Int. J. Heat Mass Transfer, Vol. 31, pp. 1399–1408.

    Article  Google Scholar 

  • Sokolov, V. E. (1982) Mammal Skin, University of California Press, Berkeley, CA.

    Google Scholar 

  • Vafai, K. (1984) “Convective Flow and Heat Transfer in Variable Porosity Media,” J. Fluid Mech., Vol. 147, pp. 233–259.

    Article  ADS  MATH  Google Scholar 

  • Vafai, K. and Tien, C. L. (1981) “Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media,” Int. J. Heat Mass Transfer, Vol. 24, pp. 195–203.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Bejan, A., Lage, J.L. (1991). Heat Transfer from A Surface Covered with Hair. In: Kakaç, S., Kilkiş, B., Kulacki, F.A., Arinç, F. (eds) Convective Heat and Mass Transfer in Porous Media. NATO ASI Series, vol 196. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3220-6_28

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-3220-6_28

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5419-5

  • Online ISBN: 978-94-011-3220-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics