Heat transfer in non-Newtonian fluids

Hydrodynamics and Mass and Heat Transfer in Non-Newtonian Fluids... 

In Chapter 6 we consider problems of hydrodynamics and mass and heat transfer in non-Newtonian fluids and describe the basic models for Theologically complicated fluids, which are used in chemical technology. Namely, we consider the motion and mass exchange of power-law and viscoplastic fluids through tubes, channels, and films. The flow past particles, drops, and bubbles in non-Newtonian fluid are also analyzed. 

Since the power-law and the Bingham plastic fluid models are usually adequate for modelling the shear dependence of viscosity in most engineering design calculations, the following discussion will therefore be restricted to cover just these two models where appropriate, reference, however, will also be made to the applications of other rheological models. Theoretical and experimental results will be presented separately. For more detailed accounts of work on heat transfer in non-Newtonian fluids in both circular and non-circular ducts, reference should be made to one of the detailed surveys [Cho and Hartnett, 1982 Irvine, Jr. and Kami, 1987 Shah and Joshi, 1987 Hartnett and Kostic, 1989 Hartnett and Cho, 1998]. 

Lev que s problem was extracted from the rescaled mass balance in Equation 8.28. As can be seen, this equation is the basis of a perturbation problem and can be decomposed into several subproblems of order 0(5 ). The concentration profile, the flux at the wall, and consequently the mixing-cup concentration (or conversion) can all be written as perturbation series on powers of the dimensionless boundary layer thickness. This series is often called as the extended Leveque solution or Lev jue s series. Worsoe-Schmidt [71] and Newman [72] presented several terms of these series for Dirichlet and Neumann boundary conditions. Gottifredi and Flores [73] and Shih and Tsou [84] considered the same problem for heat transfer in non-Newtonian fluid flow with constant wall temperature boundary condition. Lopes et al. [40] presented approximations to the leading-order problem for all values of Da and calculated higher-order corrections for large and small values of this parameter. 

English-Chinese dictionary of Rheology, Science Press Staff, Er. Eur., 1990, 49.95 Free liquid jets and films hydrodynamics and Rheology interaction of mechanics and mathematics, Yarin A, John Wiley Sons, A 246 Fundamentals of heat transfer in non-Newtonian fluids, Chen J,... 

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