Skip to main content
SpringerLink
Log in

The Equations of Change for Heat and Mass Transfer and Their Analytical Solutions

  • Chapter
  • First Online:
Analytical Solutions for Transport Processes

Part of the book series: Mathematical Engineering ((MATHENGIN))

  • 2143 Accesses

Abstract

The present chapter puts together the thermal energy equation, with its special form for heat conduction, and the continuity equation for a component of a mixture in its various forms, including the purely diffusive form for equimolar processes. The two subsequent Chaps. 8 and 9 discuss analytical solutions of these equations.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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. Bird, R.B., Stewart, W.E., Lightfoot, E.N.: Transport Phenomena. Wiley, New York (1960)

    Google Scholar 

  2. Carslaw, H.S., Jaeger, J.C.: Conduction of Heat in Solids, 2nd edn. Oxford Science Publications, Oxford (2005)

    MATH  Google Scholar 

  3. Fick, A.: Über Diffusion (About diffusion, in German). Ann. Phys. 170, 59–86 (1855)

    Article  Google Scholar 

  4. Incropera, F.P., DeWitt, D.P., Bergman, T.L., Lavine, A.S.: Principles of Heat and Mass Transfer, 7th edn. Wiley, New York (2013)

    Google Scholar 

  5. Joseph, D.D., Preziosi, L.: Heat waves. Rev. Mod. Phys. 61, 41–73 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  6. Joseph, D.D., Preziosi, L.: Addendum to the paper "Heat waves". Rev. Mod. Phys. 62, 375–391 (1990)

    Article  MathSciNet  Google Scholar 

  7. Körner, C., Bergmann, H.W.: The physical defects of the hyperbolic heat conduction equation. Appl. Phys. A 67, 397–401 (1998)

    Article  Google Scholar 

  8. Sano, Y.: Dry spinning of PVA filament. Drying Technol. 2, 61–95 (1983–1984)

    Google Scholar 

  9. Sano, Y., Keey, R.B.: The drying of a spherical particle containing colloidal material into a hollow sphere. Chem. Eng. Sci. 37, 881–889 (1982)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Fluid Mechanics and Heat Transfer, Graz University of Technology, Graz, Austria

    Günter Brenn

Authors
  1. Günter Brenn
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Günter Brenn .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Brenn, G. (2017). The Equations of Change for Heat and Mass Transfer and Their Analytical Solutions. In: Analytical Solutions for Transport Processes. Mathematical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-51423-8_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-51423-8_7

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-51421-4

  • Online ISBN: 978-3-662-51423-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation