Abstract: A fluid flow is simulated by causing a computer to perform operations on data stored in the memory to compute at least one eddy of a fluid flow at a first scale and perform operations to compute at least one eddy of the fluid flow at both the first scale and a second scale. The second scale is a finer scale than the first scale, and the computation of the at least one eddy of the fluid flow at the second scale is constrained by results of the computation of the at least one eddy of the fluid flow at the first scale.

Abstract: A fluid flow is simulated by causing a computer to perform operations on data stored in the memory to compute at least one eddy of a fluid flow at a first scale and perform operations to compute at least one eddy of the fluid flow at both the first scale and a second scale. The second scale is a finer scale than the first scale, and the computation of the at least one eddy of the fluid flow at the second scale is constrained by results of the computation of the at least one eddy of the fluid flow at the first scale.

Abstract: Tunable, bio-functionalized, nanoelectromechanical systems (Bio-NEMS), micromechanical resonators (MRs), nanomechanical resonators (NRs), surface acoustic wave resonators, and bulk acoustic wave resonators having superhydrophobic surfaces for use in aqueous biochemical solutions. The MRs, NRs or Bio-NEMS include a system resonator that can vibrate or oscillate at a relatively high frequency and to which an analyte molecule(s) contained in the solution ? can attach or upon which small molecular-scale forces can act; a device for adjusting a relaxation time of the solution, to increase the quality (Q-factor) of the resonator inside the solution, to reduce energy dissipation into the solution; and a device for detecting a frequency shift in the resonator due to the analyte molecule(s) or applied molecular-scale forces.

Abstract: A multistage countercurrent separation apparatus and method is described. Each stage includes a mixer zone and a settler zone, both of which have temperature control means to achieve a first temperature and a second temperature, respectively, in the mixer and settler zones. Solvents used in the process are selected so that they have at least one immiscibility transition temperature such that they form a single homogeneous phase at said first temperature and two heterogeneous phases at said second temperature. By carrying out the process, a solute or solutes introduced into the system may appropriately be efficiently concentrated or separated with minimal agitation. Furthermore, because emulsification by rapid agitation is avoided, the homogeneous phase quickly coalesces upon passing into the heterogeneous phase, thereby increasing the throughput which may be achieved by the extraction process.