By S. Whitaker
Multiphase platforms dominate approximately each sector of technology and know-how, and the strategy of quantity averaging offers a rigorous origin for the research of those structures. the advance relies on classical continuum physics, and it offers either the spatially smoothed equations and a style of predicting the powerful shipping coefficients that seem in these equations. The textual content relies on a ten-week graduate path that has been taught for greater than twenty years on the college of California at Davis and at different universities worldwide. difficulties facing either the theoretical foundations and the purposes are incorporated with every one bankruptcy, and distinct recommendations for all difficulties can be found from the writer. The path has attracted individuals from chemical engineering, mechanical engineering, civil engineering, hydrologic technological know-how, arithmetic, chemistry and physics.
Read Online or Download The Method of Volume Averaging PDF
Similar hydrology books
Groundwater Hydrology of Springs: Engineering, Theory, Management and Sustainability
Groundwater Hydrology of Water source sequence Water is a vital environmental source and one who has to be accurately controlled. because the global areas extra emphasis on sustainable water provides, the call for for services in hydrology and water assets maintains to extend. This sequence is meant for pro engineers, who search a company origin in hydrology and a capability to use this data to resolve difficulties in water source administration.
Chemical Feed Field Guide for Treatment Plant Operators
This pocket box consultant explains dry, liquid, and gasoline chemical feed structures, calibrations, and dealing with and garage requisites for numerous different types of chemical compounds utilized in water remedy. convenient feed calculators for gasoline, liquid, and dry chemical substances are incorporated
Water Security: Principles, Perspectives and Practices
The aim of this e-book is to present an summary of the newest learn, coverage, practitioner, educational and foreign considering on water security—an factor that, like water governance many years in the past, has constructed a lot coverage understanding and momentum with quite a lot of stakeholders. As an idea it truly is open to a number of interpretations, and the authors right here set out a few of the ways to the subject from varied views.
Understanding Mathematical and Statistical Techniques in Hydrology: An Examples-based Approach
Choose up any hydrology textbook and it'll no longer be lengthy ahead of you come across pages directory sequences of equations representing advanced mathematical suggestions. scholars and practitioners of hydrology won't locate this very invaluable, as their target, often, is to check and comprehend hydrology, and never to discover themselves faced with fabric that even scholars of arithmetic may locate hard.
- Moment Analysis for Subsurface Hydrologic Applications (Water Science and Technology Library)
- Groundwater Geophysics: A Tool for Hydrogeology
Extra resources for The Method of Volume Averaging
Example text
E y and it dominates the manner in which CAy is distributed in the y-phase. 4-28) and the volume diffusive source in Eq. 4-22 can be discarded. Further simplification of the closure problem can be achieved if we can demonstrate that CAy is small compared to (CAy) y. Directing our attention to the boundary condition given by Eq. 4-31) originally given by Ryan et al. (1981). 4-34) For practical reactor design problems, the particle Thiele modulus is usually less than ten (<1>2 ~ 100) while fy is typically many orders of magnitude smaller than L, thus Eq.
13 and the results are used in Eq. 4-62 to determine the effective diffusivity tensor. 13 would provide essentially the same result as the Chapter 1 48 theoretical model shown in that figure. 13. 5 ANISOTROPIC SYSTEMS While many systems that are isotropic with respect to diffusion are available in the laboratory, most natural systems and many processed materials are anisotropic. The process of extrusion may be the cause of anisotropy in catalyst pellets (Satterfield, 1970, Sec. 2), and the experimental results of Currie (1960) for kaolin suggest that any kaolin-based catalyst will exhibit anisotropic behavior.
6-7, the justification ofEq. 6-10 is an important matter. 2 ISOTROPIC SYSTEMS It is worthwhile to note that there are no homogeneous, isotropic porous media. By isotropic one means invariant to any coordinate rotation and by homogeneous one means invariant to any coordinate translation, and a little thought will indicate that there are no porous media that could satisfy these geometrical requirements. On the other hand, there exist porous media for which the diffusion process is isotropic and for which the effective diffusivity tensor and the porosity can be treated as constants.