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Conjugated Graetz problems—II: Fluid-fluid problems

✍ Scribed by Eleftherios Papoutsakis; Doraiswami Ramkrishna

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
596 KB
Volume
36
Category
Article
ISSN
0009-2509

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✦ Synopsis

Ahstract4onjugated Graetz problems[l], involving two co-or counter-currently flowing phases are discussed following the general formalism of [I]. Although the dticulty, which arises from the changing sign of the velocity profile over the total cross-section of the two-fluid conduit of the counter-current problems, may be readily handled by the general formalism, the inclusion of axial heat conduction in the analysis presents special difliculties in obtaining analytical and/or computationally efficient solutions. The present analysis shows that analytical and computationally etlkient solutions may be obtained only for these problems where the temperature profile at the entrance of the heating section is known for at least one of the fluids. The solution of a class of problems with long heating sections is obtained untilting the general formalism together with the Gram-Schmidt orthonormalization process in the spirit of [5]. Problems with low Peclet numbers for both fluids and with an adiabatic section preceding the heating section or problems with very short heating sections are also briefly discussed.

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