Skip to main content

Simulation of Surface Heating Process with Laser

  • Conference paper
  • First Online:
Book cover Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

Included in the following conference series:

Abstract

The model of heating of surface of solid substance with infra-red laser and cooling with air flow is created. From initial differential partial equations the discrete form of equation is obtained. The method of integration of system under dynamic change of energy of laser beam and constant parameters of airflow is worked out. Due to this method the initial model was transformed into a discrete form. The discrete equation is solved for the case of dynamically changing laser beam energy and constant parameters of the airflow. The result of solving of equation is graphed in 3D space: distance from center of laser beam/distance from surface of target/temperature.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

References

  1. Maldague, X.P.: Theory and Practice of Infrared Technology for Nondestructive Testing. Wiley, Hoboken (2001). 704 p

    Google Scholar 

  2. Sheich, M.A., Taylor, S.C., Hayhurst, D.R., Taylor, R.: Measurement of thermal diffusivity of isotropic materials using a laser flash method and its validation by finite element analysis. J. Phys. D Appl. Phys. 33, 1536–1550 (2000)

    Article  Google Scholar 

  3. Shuja, S.Z., Yilbas, B.S., Shazli, S.Z.: Laser repetitive pulse heating influence of pulse duty. Heat Mass Transf. 43, 949–955 (2007)

    Article  Google Scholar 

  4. Yilbas, B.S.: Analytical solution for time unsteady laser pulse heating of semi-infinite solid. Int. J. Mech. Sci. 39(6), 671–682 (1997)

    Article  MATH  Google Scholar 

  5. Zienkiewiez, O.C.: The Finite Element Method in Engineering Science. McGraw-Hill, London (1971). 541 p

    Google Scholar 

  6. Segerlind, L.: Applied Finite Element Analysis. Wiley, New York (1976). 392 p

    MATH  Google Scholar 

  7. Fornberg, B.: Calculation of weights in finite difference formulas. SIAM Rev. 40, 685–691 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  8. Babu’ka, I., Banerjee, U., Osborn, J.E.: Generalized finite element methods: main ideas, results, and perspective. Int. J. Comput. Methods 1(1), 67–103 (2004). doi:10.1142/S0219876204000083

    Article  MATH  Google Scholar 

  9. Gerald, C.F., Wheatley, P.O.: Applied Numerical Analysis. Addison-Wesley Longman Inc., Boston (1997). 680 p

    MATH  Google Scholar 

  10. Dunaev, V.A.: Theoretical and computational complex computer modeling and visualization conjugate heat and mass transfer processes. Thermal measurements at the beginning of the XXI century. Abstracts of the Fourth International Thermophysical School, pp. 112–113. TSTU, Tambov (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tatiana Akimenko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Akimenko, T., Gorbunova, O., Dunaev, V. (2017). Simulation of Surface Heating Process with Laser. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-57099-0_14

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics