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- Lynn S. Bennethum, arcio A. Murady, John H. Cushman
- 1997

The thermodynamicalrelations for a two-phase, N-constituent, swelling porous medium are derived using a hybridization of averaging and the mixture-theoretic approach of Bowen. Examples of such media… (More)

- Moongyu Park, John H. Cushman
- J. Comput. Physics
- 2006

- Lynn S. Bennethum, arcio A. Murady, John H. Cushman
- 1996

Hybrid mixture theory, HMT, consists of classical mixture theory applied to a multiphase system with volume averaged eld equations. HMT is applicable to a multi-phase mixture in which the… (More)

- John H. Cushman
- Plant and Soil
- 2005

Computer simulation of root nutrient uptake has become a very powerfull tool in the analysis of plant and soil characteristics. One of the shortcomings of earlier numerical models is the lack of a… (More)

- Natalie Kleinfelter, Monica Moroni, John H. Cushman
- Physical review. E, Statistical, nonlinear, and…
- 2005

A finite-size (or scale) Lyapunov exponent (FSLE), lambdaa(x), is presented in a statistical mechanical framework and employed to characterize mixing in a variety of laboratory and computational… (More)

Self-motile particles, such as microbes, that can preferentially orient their microscale movement are embedded in a multiscale anisotropic porous medium. Such an environment is consistent with most… (More)

- Moongyu Park, Natalie Kleinfelter, John H. Cushman
- Multiscale Modeling & Simulation
- 2005

- Pawan P. Singh, Dirk Maier, John H. Cushman, Osvaldo H. Campanella
- Journal of mathematical biology
- 2004

The general fluid transport equation presented in Part-I of this paper is used for predicting moisture transport and viscoelastic stresses during sorption and drying of soybeans. Predicted drying… (More)

- Rishi Parashar, Daniel O'Malley, John H. Cushman
- Physical review. E, Statistical, nonlinear, and…
- 2008

This Brief Report examines Levy motion in a slit pore with sticky boundaries, i.e., boundaries that absorb particles for a random amount of time. A set of equations is developed that can explicitly… (More)

- Moongyu Park, Natalie Kleinfelter, John H. Cushman
- Physical review. E, Statistical, nonlinear, and…
- 2005

Over some range of scales natural porous media often display a fractal Eulerian velocity or conductivity field. If one assumes the fractal conductivity gives rise to fractal drift velocities, then… (More)