Abstract
A theoretical investigation is presented of the heat transfer from fluids in non-Newtonian laminar flow in circular cylindrical tubes. The velocity profile is introduced according to the Prandtl-Eyring formula (2) (6). Eigenvalues and eigenfunctions have been calculated for some values of the velocity profile parameter b (which is proportional to the longitudinal pressure gradient), and graphs of the cup mixing mean temperature of the fluid and of the dimensionless local heat transfer coefficients are given. The results are compared with those of some other workers who carried out calculations assuming the Ostwald profile (1). The influence of the thermal resistance of the tube wall for radial heat flow is also investigated. In an appendix formulae are presented concerning the influence of heat dissipation resulting from internal friction, for the Ostwald profile as well as for the Prandtl-Eyring profile.
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