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Donald A. Drew

Bio: Donald A. Drew is an academic researcher from Rensselaer Polytechnic Institute. The author has contributed to research in topics: Two-phase flow & Turbulence. The author has an hindex of 33, co-authored 120 publications receiving 4669 citations.


Papers
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06 Nov 1998
TL;DR: In this article, the authors propose an approach for modeling multicomponent flows based on the classical theory of solutions of solutions, which they call well-posedness and well-posedness.
Abstract: Preliminaries.- Physical Reality, Corpuscular Models, Continuum Models.- Classical Continuum Theory.- Viscous and Inviscid Fluids and Elastic Solids.- Kinetic Theory.- Classical Theory of Solutions.- Continuum Theory.- Continuum Balance Equations for Multicomponent Fluids.- Mixture Equations.- Averaging Theory.- Ensemble Averaging.- Other Averages.- Averaged Equations.- Postulational and Averaging Approaches.- Modeling Multicomponent flows.- Closure Framework.- Relation of Microstructure to Constitutive Equations.- Maxwell-Boltzmann Dynamics.- Interfacial Area.- Equations of Motion for Dilute Flow.- Consequences.- Nature of the Equations.- Well-Posedness.- Solutions for Shearing Flows.- Wave Dynamics.

1,139 citations

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TL;DR: In this article, the authors calculate the force s-exercant sur a sphere unique en accelation par rapport a un fluide non visqueux soumis a une deformation pure and une rotation loin de the sphere.

357 citations

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TL;DR: In this article, the so-called virtual mass force during the acceleration of a two-phase mixture was studied and it was shown that this interfacial force must be objective and invariant under a change of reference frame.

266 citations

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TL;DR: In this paper, the process of determining appropriate constitutive equations for multidimensional time averaged two-phase flow equations is studied from the point of view of starting from general principles, and proceeding to specific constitutive equation which contain known physical effects.

225 citations

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TL;DR: In this paper, the Boltzmann equation for the bubble mass probability density function is evaluated using a multigroup approach with groups of constant bubble mass, and the intergroup transfer mechanisms are bubble breakup, coalescence and the dissolution of air into the ocean, and their effects on the two-phase flow field are analyzed.

156 citations


Cited by
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TL;DR: This paper reviews formalisms that have been employed in mathematical biology and bioinformatics to describe genetic regulatory systems, in particular directed graphs, Bayesian networks, Boolean networks and their generalizations, ordinary and partial differential equations, qualitative differential equation, stochastic equations, and so on.
Abstract: The spatiotemporal expression of genes in an organism is determined by regulatory systems that involve a large number of genes connected through a complex network of interactions. As an intuitive understanding of the behavior of these systems is hard to obtain, computer tools for the modeling and simulation of genetic regulatory networks will be indispensable. This report reviews formalisms that have been employed in mathematical biology and bioinformatics to describe genetic regulatory systems, in particular directed graphs, Bayesian networks, ordinary and partial differential equations, stochastic equations, Boolean networks and their generalizations, qualitative differential equations, and rule-based formalisms. In addition, the report discusses how these formalisms have been used in the modeling and simulation of regulatory systems.

2,739 citations

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TL;DR: In this article, the authors proposed two different approaches for deriving heat transfer correlation of the nanofluid, and investigated the mechanism of heat transfer enhancement of the nano-fluid.

2,355 citations

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TL;DR: In this paper, the authors summarized the important published articles on the enhancement of the forced convection heat transfer with nanofluids, including simulations, simulations, and experimental results.

1,738 citations

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TL;DR: An overview of the challenges and progress associated with the task of numerically predicting particle-laden turbulent flows is provided and suggestions are made for improving closure modelling of some important correlations.
Abstract: The paper provides an overview of the challenges and progress associated with the task of numerically predicting particle-laden turbulent flows The review covers the mathematical methods based on turbulence closure models as well as direct numerical simulation (DNS) In addition, the statistical (pdf) approach in deriving the dispersed-phase transport equations is discussed The review is restricted to incompressible, isothermal flows without phase change or particle-particle collision Suggestions are made for improving closure modelling of some important correlations

1,328 citations

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TL;DR: In this article, a review of microfiltration is presented, focusing on the formation of cakes, the behavior of suspension flows and particle transport in simple geometry ducts, and the formation and behavior of fouling layers including those resulting from macromolecules, colloids and particles.

1,317 citations