| Momentum and heat transfer in laminar boundary layer over arbitrarily shaped, two dimensional or axisymmetrical bodies in non-Newtonian power-law fluids were investigated in this dissertation. The analysis is also applicable to Newtonian fluid and thus embraces a great deal of fluids except some special types of non-Newtonian fluids, for example, Bingham plastic, time-dependent non-Newtonian fluids, and viscoelastic fluids. Due to the power of n in the expression of shear stress, the analysis of boundary layers for power-law fluids is much more complicated than that for Newtonian fluids. In fact, the similarity of flow for general geometry doesn't seem to exist and the integral method fails to provide accurate information.;Part II is a work of the heat transfer for two dimensional or axisymmetrical bodies with a surface of step-change in temperature. By using the generalized coordinate transformation and the information on the velocity field from Part I, a sequence of simple, ordinary differential equations is obtained from the governing partial differential energy equation. The solutions to these ordinary differential equations can be expressible again in terms of universal functions which can be tabulated once and for all. An expression for calculating Nusselt numbers for flow over a general two-dimensional or axisymmetrical body in power law fluids is presented explicitly in terms of generalized Prandtl numbers, wedge parameters and power-law exponents. The heat transfer rate in terms of Nu(,x)(Re(,x))-1/n+1 for wedge flow for various parameters n, (LAMDA), and Pr are presented and compared with that of Chen and Radulovic, Lee and Ames. The numerical results of Nu(Re)-1/n+1 for flow over a circular cylinder are presented for x(,0)/L = 0.0 and x(,0)/L = 0.5.;Part I of this dissertation is dealing with momentum transfer for arbitrarily shaped two dimensional or axisymmetrical bodies in power-law fluids. The Merk-Meksyn's type of series expansion is employed to obtain a set of sequential ordinary differential equations from a partial differential momentum equation. The universal functions as solutions to the governing equations are obtained numerically by using the Runge-Kutta method with the control of integrating step size and the Newton-Raphson technique for the iteration procedure. For the parameters n and (LAMDA), some physical models of fluids are selected with various values of (LAMDA). The universal functions are compared with those of Fagbenle, Hsu and Cothern whenever possible. The equations and information on the boundary layer thickness are given and the wall shear stress coefficients in terms of 1/2C(,f)(Re(,x))1/n+1 are presented for the wedge flow and the flow over a circular cylinder. The values are compared with those of Lee and Ames, Lin and Chern for certain cases. |
