Abstract
The temperature profile in a circular tube of infinite extent through which a fluid is moving under conditions of small Péclet numbersε is determined by means of an asymptotic analysis inε. The walls of the tube are heated forx>0 and are insulated whenx<0. It is shown that the heated region extends anO(ε −1) distance — relative to the radius of the tube — upstream of the pointx=0, and that convective effects remain important even whenε→0. These results apply to a wider class of problems in which the Péclet number is small.
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References
Papoutsakis E, Ramkrishna D, Lim HC: The extended Graetz problem with Dirichlet boundary conditions. Appl Sci Res36 (1980) 13.
Papoutsakis E, Ramkrishna D, Lim HC: The extended Graetz problem with Neumann boundary conditions. Paper submitted to AIChE J 1979.
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Acrivos, A. The extended Graetz problem at low Peclet numbers. Appl. Sci. Res. 36, 35–40 (1980). https://doi.org/10.1007/BF00420068
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DOI: https://doi.org/10.1007/BF00420068