Response surfaces

GEP Box, NR Draper - Mixtures, and Ridge Analyses, 2007 - Springer
Numerical models allow us to gather new information on many natural processes that was
not possible to obtain using only conventional field, theoretical and experimental …

Using time-dependent RPM to enhance mixing in stirred vessels

DJ Lamberto, FJ Muzzio, PD Swanson… - Chemical Engineering …, 1996 - Elsevier
Mixing under low to moderate Reynolds numbers is investigated experimentally in a stirred
tank. An acid-base neutralization reaction and a pH indicator are used to reveal the …

Chaos, symmetry, and self-similarity: exploiting order and disorder in mixing processes

JM Ottino, FJ Muzzio, M Tjahjadi, JG Franjione… - Science, 1992 - science.org
Fluid mixing is a successful application of chaos. Theory anticipates the coexistence of order
and disorder—symmetry and chaos—as well as self-similarity and multifractality arising from …

Quantification of mixing in aperiodic chaotic flows

M Liu, FJ Muzzio, RL Peskin - Chaos, Solitons & Fractals, 1994 - Elsevier
Most previous studies of mixing in deterministic flows have focused on time-periodic or
spatially-periodic flows. In contrast, mixing processes in aperiodic flows have been …

The statistics of stretching and stirring in chaotic flows

FJ Muzzio, PD Swanson, JM Ottino - Physics of Fluids A: Fluid …, 1991 - pubs.aip.org
The statistics of stretching and stirring in time‐periodic chaotic flows is studied numerically
by following the evolution of stretching of O (105) points. The ratio between stretchings …

Local Lyapunov exponents in chaotic systems

B Eckhardt, D Yao - Physica D: Nonlinear Phenomena, 1993 - Elsevier
We define a local Lyapunov exponent in chaotic systems so that the Lyapunov exponent
along a trajectory is the integral over the local exponent, thus extending previously used …

Chaotic advection, fractals and diffusion during mixing of magmas: evidence from lava flows

D Perugini, G Poli, R Mazzuoli - Journal of Volcanology and Geothermal …, 2003 - Elsevier
Structures of magma mixing from three different lava flows have been analyzed and the
degree of mingling has been quantified by measuring the contact perimeter between …

The role of chaotic orbits in the determination of power spectra of passive scalars

TM Antonsen, Z Fan, E Ott, E Garcia‐Lopez - Physics of Fluids, 1996 - pubs.aip.org
The role of chaotic orbits in the determination of power spectra of passive scalars Page 1 The
role of chaotic orbits in the determination of power spectra of passive scalars Thomas M …

Approach to ergodicity in quantum wave functions

B Eckhardt, S Fishman, J Keating, O Agam, J Main… - Physical Review E, 1995 - APS
According to theorems of Shnirelman and followers, in the semiclassical limit the quantum
wave functions of classically ergodic systems tend to the microcanonical density on the …

Characteristic distributions of finite-time Lyapunov exponents

A Prasad, R Ramaswamy - Physical Review E, 1999 - APS
We study the probability densities of finite-time or local Lyapunov exponents in low-
dimensional chaotic systems. While the multifractal formalism describes how these densities …