The extended Graetz problem at low Peclet numbers
@article{Acrivos1980TheEG, title={The extended Graetz problem at low Peclet numbers}, author={Andreas Acrivos}, journal={Flow Turbulence and Combustion}, year={1980}, volume={36}, pages={35-40}, url={https://api.semanticscholar.org/CorpusID:115701044} }
The temperature profile in a circular tube of infinite extent through which a fluid is moving under conditions of small Peclet numberse is determined by means of an asymptotic analysis ine. The walls of the tube are heated forx>0 and are insulated whenx<0. It is shown that the heated region extends anO(e
−1) distance — relative to the radius of the tube — upstream of the pointx=0, and that convective effects remain important even whene→0. These results apply to a wider class of problems in…
23 Citations
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One Reference
The extended Graetz problem with Dirichlet wall boundary conditions
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The extension of the Graetz problem to include axial conduction has been of interest in view of its application to a number of low Peclet number heat or mass transfer situations. Past efforts in…