Brenner, Howard

John C. Berg, Andreas Acrivos, and Michel Boudart, Evaporation Convection H. M. Tsuchiya, A. G, Fredrickson, and R. Aiis, Dynamics of Microbial Cell Populations Samuel Sideman, Direct Contact Heat Transfer between Immiscible Liquids Howard Brenner, Hydrodynamic Resistance of Particles at Small Reynolds Numbers... 

Pierre M. Adler, Ali Nadim, and Howard Brenner, Rheological Models of Suspensions Stanley M. Englund, Opportunities in the Design of Inherently Scfer Chemical Plants H. J. Ploehn and W. B. Russel, Interactions between Colloidal Particles and Soluble Polymers... 

Pierre M. Adler, Ali Nadim, and Howard Brenner, Rheological Models of Suspenions... 

Hydrodynarhic Resistance of Particles at Small Reynolds Numbers Howard Brenner Author Index—Subject Index... 

Howard Brenner has generalized the method to a whole class of phenomena in his magisterial paper, A general theory of Taylor dispersion phenomena. Physicochem. Hydrodyn. 1, 91-123 (1980). 

The challenge is therefore to find a theoretical expression for these scaling laws. It will in any case depend upon scaling laws for the statistical distribution of fundamental geometrical reservoir properties. It will also depend upon these hidden processes that arise because of the nonlinear nature of movable boundary flows (quite apart from nonlinearities intrinsic to the continuum relations themselves). There have been some remarkable pioneering attempts to predict continuum properties of porous media from fundamental parameters, mainly by chemical engineers (of whom I wish to single out Howard Brenner and co-workers) and physicists, but they have as yet made little impact on the oil industry. 

Howard Brenner Let me give a simple example of this, that derives from the generalized Taylor dispersion theory references cited in my previous comments. Think of a tubular reactor in which one has a Poiseuille flow, together with a chemical reaction occurring on the walls. One can certainly write down all the relevant differential equations and boundary conditions and solve them numerically. However, the real essence of the macrophysics is that if one examines the average velocity with which the reactive species moves down the tube, this speed is greater than that of the carrier fluid because the solute is destroyed in the slower-moving fluid streamlines near the wall. Consequently, the only reactive solute molecules that make it... 

Writing of this chapter was facilitated by grants to Howard Brenner from the Office of Basic Energy Sciences of the Department of Energy and the National Science Foundation. The authors also wish to thank the referees, Professors Andreas Acrivos and William B. Russel, for bringing a number of relevant papers to our attention. 

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