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An analytical study of laminar flow heat transfer to pseudo -plastic fluids inside a tube subjected to a uniform wall heat flux is reported. Most pseudo plastic fluids are highly viscous and exhibit a strong temperature -dependence of the consistency index, K. Heat transfer is thus affected by heating rate. The objective of this study was to evaluate the effects of non -Newtonian behavior and K -variation on heat transfer coefficients. An explicit, stable numerical scheme, using the Dufort-Frankel finite -difference method, was devised to solve the set of governing partial differential equations. In the constant -property solutions, some increase in heat transfer coefficient above the Newtonian prediction is noticed. This increase is accounted for by employing a non -Newtonian correction, 01/3, for both entrance and fully developed regions. The variable property predictions were obtained for n = 0.75and 0.5, and, for completeness, predictions were also obtained for the Newtonian case, n = 1.0. A new consistency parameter, yAT, was developed to account for the effect of temperature -dependent K on heat transfer coefficient. In the thermal entrance region, for a given n, the increase in heat transfer coefficient above the constant property prediction is a log -linear function of (K/KNJ). However, in the fully developed region, this increase is a complex function of n and yAT. A two-step consistency correction was developed, one for the thermal entrance region and the other for the fully developed region. The analytical predictions, as correlated using non -Newtonian and variable consistency corrections, are in excellent agreement with experimental data of Mahalingam taken in the thermal entrance region.
Convective Heat Transfer presents an effective approach to teaching convective heat transfer. The authors systematically develop the topics and present them from basic principles. They emphasize physical insight, problem-solving, and the derivation of basic equations. To help students master the subject matter, they discuss the implementations of the basic equations and the workings of examples in detail. The material also includes carefully prepared problems at the end of each chapter. In this Second Edition, topics have been carefully chosen and the entire book has been reorganized for the best presentation of the subject matter. New property tables are included, and the authors dedicate an entire chapter to empirical correlations for a wide range of applications of single-phase convection. The book is excellent for helping students quickly develop a solid understanding of convective heat transfer.