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Two-dimensional periodic flow of heat in polar coordinates

✍ Scribed by Herbert Reismann

Publisher
Elsevier Science
Year
1958
Tongue
English
Weight
383 KB
Volume
266
Category
Article
ISSN
0016-0032

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✦ Synopsis

This paper develops a technique for solving two-dimensional problems of periodic heat flow in polar coordinates.

The form of series solution presented permits satisfaction of very general boundary conditions specified as surface temperature distributions which are periodic with respect to time.

The method is applied to the solution of the radially symmetric plane problem of heat flow in an infinite region, exterior to a circular boundary, to which a uniformly distributed temperature is applied which varies periodically with respect to time.

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## Abstract The periodic boundary displacement protocol leading to the optimum wall‐to‐fluid heat‐transfer rate, or to the most efficient mixing rate, in 2‐D annular Stokes flows is determined by calculating the steady periodic velocity and temperature fields. To obtain the steady periodic state on