Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Home
Hostname: page-component-768dbb666b-qc52z Total loading time: 0.272 Render date: 2023-02-03T01:48:39.787Z Has data issue: true Feature Flags: { "useRatesEcommerce": false } hasContentIssue true
  • English
Proceedings of the Royal Society of Edinburgh Section A: Mathematics Proceedings of the Royal Society of Edinburgh Section A: Mathematics

Article contents

XVIII.—Heat Flow in the Region bounded Internally by a Circular Cylinder

Published online by Cambridge University Press:  14 February 2012

J. C. Jaeger  and
H. S. Carslaw
J. C. Jaeger
Affiliation:
University of Tasmania
Get access Rights & Permissions[Opens in a new window]

Extract

The object of this paper is to give some numerical results for the cooling of the region bounded internally by a circular cylinder, with constant initial temperature, and various boundary conditions at the surface. Problems of this nature are of importance in connection with the cooling of mines, and in various physical questions.

The case of constant surface temperature is discussed in § 2. In § 3 the results are compared with the corresponding ones for the region outside a sphere, and for the semi-infinite solid.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 61 , Issue 3 , 1943 , pp. 223 - 228
Copyright
Copyright © Royal Society of Edinburgh 1943

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

References to Literature

Carslaw, H. S., and Jaeger, J. C, 1940. Proc. London Math. Soc. (2), vol. xlvi, p. 361.CrossRefGoogle Scholar
Goldstein, S., 1932. Proc. London Math. Soc. (2), vol. xxxiv, p. 51.CrossRefGoogle Scholar
Jaeger, J. C, 1941, 1942. Journ. Proc. Roy. Soc. N.S.W., vol. Ixxiv, p. 342; vol. lxxv, p. 130.Google Scholar
Nicholson, J. W., 1921. Proc. Roy. Soc, A, vol. c, p. 226.CrossRefGoogle Scholar
Smith, F. L. P., 1937. Journ. App. Phys., vol. viii, p. 441.CrossRefGoogle Scholar
Titchmarsh, E. C, 1937. Theory of Fourier Integrals.Google Scholar
7
Cited by

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@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 saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved 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.

XVIII.—Heat Flow in the Region bounded Internally by a Circular Cylinder
Available formats
×

Save article to Dropbox

To save 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 used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

XVIII.—Heat Flow in the Region bounded Internally by a Circular Cylinder
Available formats
×

Save article to Google Drive

To save 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 used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

XVIII.—Heat Flow in the Region bounded Internally by a Circular Cylinder
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *