Skip to main content Accessibility help
×
Home

The sputtering temperature of a cooling cylindrical rod without and with an insulated core in a two-fluid medium

  • R. K. Bera and A. Chakrabarti

Abstract

Utilising Jones' method associated with the Wiener-Hopf technique, explicit solutions are obtained for the temperature distributions on the surface of a cylindrical rod without an insulated core as well as that inside a cylindrical rod with an insulated inner core when the rod, in either of the two cases, is allowed to enter, with a uniform speed, into two different layers of fluid with different cooling abilities. Simple expressions are derived for the values of the sputtering temperatures of the rod at the points of entry into the respective layers, assuming the upper layer of the fluid to be of finite depth and the lower of infinite extent. Both the problems are solved through a three-part Wiener-Hopf problem of special type and the numerical results under certain special circumstances are obtained and presented in tabular forms.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      The sputtering temperature of a cooling cylindrical rod without and with an insulated core in a two-fluid medium
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      The sputtering temperature of a cooling cylindrical rod without and with an insulated core in a two-fluid medium
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      The sputtering temperature of a cooling cylindrical rod without and with an insulated core in a two-fluid medium
      Available formats
      ×

Copyright

References

Hide All
[1]Bera, R. K. and Chakrabarti, A., “Cooling of a composite slab in a two-fluid medium”, J. Appl. Math. and Phys. (ZAMP) 42 (1991) 943959.
[2]Bera, R. K. and Chakrabarti, A., “Cooling of an infinite slab in a two-fluid medium”, J. Austral. Math. Soc. Ser. B 33 (1992) 474485.
[3]Caflisch, R. E. and Keller, J. B., “Quench front propagation”, Nuclear Eng. and Design 65 (1981) 97102.
[4]Chakrabarti, A., “The sputtering temperature of a cooling cylindrical rod with an insulated core”, Appl. Sci. Res. 43 (1986) 107113.
[5]Chakrabarti, A., “Cooling of a composite slab”, Appl. Sci. Res. 43 (1986) 213225.
[6]Chakrabarti, A., “A simplified approach to a three-part Wiener-Hopf problem arising in diffraction theory”, Math. Proc. Camb. Phil. Soc. 102 (1987) 371.
[7]Evans, D. V., “A note on the cooling of a cylinder entering a fluid”, IMA J. Appl. Math. 33 (1984) 4954.
[8]Hevine, H., “On a mixed boundary value problem of diffusion type”, Appl. Sci. Res. 39 (1982) 261276.
[9]Jones, D. S., Electromagnetic theory (Pergamon, London, 1964).
[10]Noble, B., Methods based on the Wiener-Hopf technique (Pergamon, London, 1958).
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

The sputtering temperature of a cooling cylindrical rod without and with an insulated core in a two-fluid medium

  • R. K. Bera and A. Chakrabarti

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed