Skip to main content
SpringerLink
Log in

Näherungslösungen der Gleichungen für die Strahlungsübertragung

  • Chapter
Wärmeübertragung durch Strahlung

Part of the book series: Wärme- und Stoffübertragung ((WÄRME))

  • 218 Accesses

Zusammenfassung

Die Bestimmung der Temperaturverteilung und der Wärmestromdichten in einem absorbierenden, emittierenden und streuenden Medium mit analytischen und numerischen Methoden erfordert oft einen erheblichen Aufwand. Das liegt im wesentlichen daran, daß die Strahlungstransportgleichung unter Berücksichtigung des Energieerhaltungssatzes gelöst werden muß. In einigen Spezialfällen lassen sich allerdings Näherungsverfahren mit Erfolg einsetzen. Manchmal können beispielsweise ein oder mehrere Terme der Transportgleichungen unberücksichtigt bleiben. Oder, wenn das absorbierende Medium hinreichend kalt ist, darf dessen Emission vernachlässigt werden.

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 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight 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.

Literaturverzeichnis

  1. Deissler, R. G.: Diffusion approximation for thermal radiation in gases with jump boundary condition. J. Heat Transfer 86 (1964) 240–246

    Google Scholar 

  2. Rosseland, S.: Theoretical astrophysics; atomic theory and the analysis of stellar atmospheres and envelopes. Oxford: Clarendon Press 1936

    MATH  Google Scholar 

  3. Howell, J. R.: Radiative interactions between absorbing-emitting and flowing media with internal energy generation. NASA TN D-3614, 1966

    Google Scholar 

  4. Heaslet, M. A.; Warming, R. K: Radiative transport and wall temperature slip in an absorbing planar medium. Int. J. Heat Mass Transfer 8 (1965) 979–994

    Article  Google Scholar 

  5. Howell, J.R.: On the radiation slip between absorbing-emitting regions with heat sources. Int. J. Heat Mass Transfer 10 (1967) 401–402

    Article  Google Scholar 

  6. Howell, J. R.; Perlmutter, M.: Monte Carlo solution of radiant heat transfer in a nongrey no-nisothermal gas with temperature dependent properties. AIChE J. 10 (1964) 562–567

    Article  Google Scholar 

  7. Bobco, R. P.: Directional emissivities from a two-dimensional, absorbing-scattering medium, the semi-infinite slab. J. Heat Transfer 89 (1967) 313–320

    Google Scholar 

  8. Patch, R. W.: Effective absorption coefficients for radiant energy transport in nongrey, non-scattering gases. J. Quant. Spectrosc. Radiat. Transfer 7 (1967) 611–637

    Article  Google Scholar 

  9. Patch, R.W.: Approximation for radiant energy transport in nongray, non-scattering gases. NASA TN D-4001, 1967

    Google Scholar 

  10. Sampson, D. H.: Choice of an appropriate mean absorption coefficient for use in the general grey gas equations. J. Quant. Spectrosc. Radiat. Transfer 5 (1965) 211–225

    Article  Google Scholar 

  11. Grant, I. P.: On the representation of frequency dependence in non-grey radiative transfer. J. Quant. Spectrosc. Radiat. Transfer 5 (1965) 227–243

    Article  Google Scholar 

  12. Stewart, J.C.: Non-grey radiative transfer. J. Quant. Spectrosc. Radiat. Transfer 4 (1964) 723–729

    Article  Google Scholar 

  13. Thomas, M.; Rigdon, W. S.: A simplified formulation for radiative transfer. AIAA J. 2 (1964) 2052–2054

    Article  Google Scholar 

  14. Lick, W.: Energy transfer by radiation and conduction. In: Roshko, A.; Sturtevant, B.; Bartz, D.R. (eds.): Proc. Heat Transfer Fluid Mech. Inst, Stanford, Calif. 1963, pp. 14–26

    Google Scholar 

  15. Howe, J.T.; Sheaffer, Y. S.: Spectral radiative transfer approximations for multicomponent gas mixtures. J. Quant. Spectrosc. Radiat. Transfer 7 (1967) 695–701

    Article  Google Scholar 

  16. Gilles, S.E.; Cogley, A.C.; Vincenti, W.G.: A substitute-kernel approximation for radiative transfer in a non-grey gas near equilibrium, with application to radiative acoustics. Int. J. Heat Mass Transfer 12 (1969) 445–458

    Article  Google Scholar 

  17. Kourganoff, V.: Basic methods in transfer problems; radiative equilibrium and neutron diffusion. New York: Dover Publications 1963

    Google Scholar 

  18. Chandrasekhar, S.: Radiative transfer. New York: Dover Publications 1960

    Google Scholar 

  19. Schuster, A.: Radiation through a foggy atmosphere. Astrophys. J. 21 (1905) 1–22

    Article  Google Scholar 

  20. Schwarzschild, K.: Equilibrium of the sun’s atmosphere. Nachr. Ges. Wiss. Göttingen, Math.-Phys. Klasse l (1906) 41–53

    Google Scholar 

  21. Daniel, K.J.; Laurendeau, N.M.; Incropera, F.P.: Predictions of radiation absorption and scattering in turbid water bodies. J. Heat Transfer 101 (1979) 63–67

    Article  Google Scholar 

  22. Eddington, A. S.: The internal constitution of the stars. New York: Dover Publications 1959

    Google Scholar 

  23. Milne, F. A.: Thermodynamics of the stars. Handb. Astrophysik. Berlin: Springer, 3 (1930) 65–255

    Google Scholar 

  24. Cheng, P.: Two-dimensional radiating gas flow by a moment method. AIAA J. 2 (1964) 1662–1664

    Article  MATH  MathSciNet  Google Scholar 

  25. Cheng, P.: Dynamics of a radiating gas with application to flow over a wavy wall. AIAA J. 4 (1966) 238–245

    Article  Google Scholar 

  26. Cheng, P.: Exact solutions and differential approximation for multi-dimensional radiative transfer in cartesian coordinate configurations. Prog. Astronaut. Aeronaut. 31 (1972) 269–308

    Google Scholar 

  27. Cess, R.D.: On the differential approximation in radiative transfer. Z. Angew. Math. Phys. 17 (1966) 776–781

    Article  Google Scholar 

  28. Stone, P. H.; Gaustad, X E.: The application of a moment method to the solution of non-gray radiative-transfer problems. Astrophys. J. 134 (1961) 456–468

    Article  MathSciNet  Google Scholar 

  29. Traugott, S. C: A differential approximation for radiative transfer with application to normal shock structure. In: Roshko, A.; Sturtevant, B.; Bartz, D. R. (eds.): Proc. Heat Transfer Fluid Mech. Inst., Stanford, Calif. 1963, pp. 1–13

    Google Scholar 

  30. Adrianov, V.N.; Polyak, G.I.: Differential methods for studying radiant heat transfer. Int. J. Heat Mass Transfer 6 (1963) 355–362

    Article  Google Scholar 

  31. Traugott, S.C.; Wang, K.C.: On differential methods for radiant heat transfer. Int. J. Heat Mass Transfer 7 (1964) 269–273

    Article  Google Scholar 

  32. Dennar, E. A.; Sibulkin, M.: An Evaluation of the differential approximation for spherically symmetric radiative transfer. J. Heat Transfer 91 (1969) 73–76

    Article  Google Scholar 

  33. Flinkleman, D.: Generalized differential approximations in one-dimensional radiative transfer. ASME paper 69-WA/HT-45, Nov. 1969

    Google Scholar 

  34. Selcuk, N.; Siddall, R. G.: Two-flux spherical harmonic modelling of two-dimensional radiative transfer in furnaces. Int. J. Heat Mass Transfer 19 (1976) 313–321

    Article  Google Scholar 

  35. Yuen, W. W.; Tien, C. L.: A new differential formulation of radiative transfer and its application to the one-dimensional problem. ASME paper 76-HT-49, August 1976

    Google Scholar 

  36. Bayazitoglu, Y; Higenyi, X: The higher-order differential equations of radiative transfer: P3 approximation. AIAA J. 17 (1979) 424–431

    Article  Google Scholar 

  37. Arpaci, V.S.; Gözüm, D.: Thermal stability of fluids: The Benard problem. Phys. Fluids 16 (1973)581–588

    Article  Google Scholar 

  38. Marshek, R.E.: Note on the spherical harmonics method as applied to the Milne problem for a sphere. Phys. Rev. 71 (1947) 443–446

    Article  Google Scholar 

  39. Rhyming, I. L.: Radiative transfer between two concentric spheres separated by an absorbing-emitting gas. Int. J. Heat Mass Transfer 9 (1966) 315–324

    Article  Google Scholar 

  40. Chou, Y S.; Tien, C. L.: A modified moment method for radiative transfer in non-planar systems. J. Quant. Spectrosc. Radiat. Transfer 8 (1968) 919–933

    Article  Google Scholar 

  41. Shvartsburg, A.M.: Error estimation in differential approximation to equation of transfer. Zh. Prikl. Mekh. Tekh. Fiz. 5 (1976) 9–13

    Google Scholar 

  42. Heaslet, M. A.; Warming, R.F.: Theoretical predictions of radiative transfer in a homogenous cylindrical medium. J. Quant. Spectrosc. Radiat. Transfer 6 (1966) 751–774

    Article  Google Scholar 

  43. Schmid-Burgk, J.: Radiant heat flow through cylindrically symmetric media. J. Quant. Spectrosc. Radiat. Transfer 14 (1974) 979–987

    Article  Google Scholar 

  44. Modest, M.F.; Stevens, D.S.: Two-dimensional radiative equilibrium of a gray medium between concentric cylinders. J. Quant. Spectrosc. Radiat. Transfer 19 (1978) 353–365

    Article  Google Scholar 

  45. Loyalka, S.K.: Radiative heat transfer between parallel plates and concentric cylinders. Int. J. Heat Mass Transfer 12 (1969) 1513–1517

    Article  Google Scholar 

  46. Kesten, A.A.: Radiant heat flux distribution in a cylindrically symmetric nonisothermal gas with temperature-dependent absorption coefficient. J. Quant. Spectrosc. Radiat. Transfer 8 (1968) 419–434

    Google Scholar 

  47. Dua, S.S.; Cheng, P.: Multi-dimensional radiative transfer in non-isothermal cylindrical media with non-isothermal bounding walls. Int. J. Heat Mass Transfer 18 (1975) 254–259

    Article  Google Scholar 

  48. Canosa, X; Penafiel, H.R.: A direct solution of the radiative transfer equation: Application to Rayleigh and Mie atmospheres. J. Quant. Spectrosc. Radiat. Transfer 13 (1973) 21–39

    Article  MathSciNet  Google Scholar 

  49. Amlin, D.W.; Korpela, S.A.: Influence of thermal radiation on the temperature distribution in a semi-transparent solid. J. Heat Transfer 101 (1979) 76–80

    Article  Google Scholar 

  50. Modest, M.F.: A simple differential approximation for radiative transfer in non-gray gases. J. Heat Transfer 101 (1979) 735–736

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fluid Mechanics and Acoustics Division, NASA Lewis Research Center, Cleveland, Ohio, USA

    Dr. Robert Siegel

  2. University of Texas, Austin, Tex, USA

    Prof. John R. Howell

  3. Physikalisch-Technische Bundesanstalt, Bundesallee 100, D-38116, Braunschweig, Deutschland

    Dr.-Ing Joachim Lohrengel

Authors
  1. Dr. Robert Siegel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Prof. John R. Howell
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Dr.-Ing Joachim Lohrengel
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Siegel, R., Howell, J.R., Lohrengel, J. (1993). Näherungslösungen der Gleichungen für die Strahlungsübertragung. In: Wärmeübertragung durch Strahlung. Wärme- und Stoffübertragung. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84711-0_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-84711-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55082-2

  • Online ISBN: 978-3-642-84711-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation