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Non-isothermal laminar pipe flow — I. Theoretical

✍ Scribed by P.B. Kwant; A. Zwaneveld; F.C. Dijkstra

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
1017 KB
Volume
28
Category
Article
ISSN
0009-2509

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✦ Synopsis

The Graetz-problem-heat transfer to a fluid flowing laminarly in a circular tube with constant temperature-has been extended to the case of a variable viscosity. Calculations are performed on the heat transfer to and the hydrodynamics of non-isothermal, rectilinear, laminar flow of incompressible, power-law fluids in round tubes. The consistency-index is assumed to vary exponentially with temperature. The results are presented as logarithmic mean Nusselt-numbers and dimensionless velocity distributions and pressure drops as a function of the dimensionless axial length in the tube and as function of a quantity Q which measures the deviation of "isoviscous" fluid behaviour. It turns out that the heat transfer rate is a unique function of the velocity gradient at the wall.

All results are summarized in a few practical approximations.

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