Displacing liquids in a confined space is important for technological processes ranging from porous membrane separation to CO2 sequestration. The liquid be displaced usually consists of multiple components with different solubilities the displacing liquid. Phase and chemical composition gradients can influence displacement rate. In this work, we investigate effects on process ternary mixtures q...

MRI provides a valuable tool for noninvasive evaluation of myocardial wall motion. Recently, multi-phase 2D DENSE MRI was developed to quantify cardiac strain in mice at high spatial and temporal resolution [1, 2]. DENSE methods for 3D displacement encoding have also been investigated [3]. Typically, these methods entail multiple acquisitions that are time consuming. In this project, we aimed t...

We present a robust methodology to quantify displacements in musculoskeletal ultrasound sequences. This paper extends the principles of 2D interframe displacements produced by our earlier work using hierarchical variable block size matching, to quantify displacement trajectories. We provide novel solutions for probe motion, quantification of objects moving in the 3D volume traversing the 2D pla...

Electrophoretic displacement of charged entity phase modulates the spectrum acquired in electrophoretic NMR experiments, and this modulation can be presented via 2D FT as 2D mobility spectroscopy (MOSY) spectra. We compare in various mixed solutions the chemical selectivity provided by 2D MOSY spectra with that provided by 2D diffusion-ordered spectroscopy (DOSY) spectra and demonstrate, under ...

We present results from molecular dynamics simulations of strictly two-dimensional (2D) polymer melts and thin polymer films in a slit geometry of thickness of the order of the radius of gyration. We find that the dynamics of the 2D melt is qualitatively different from that of the films. The 2D monomer mean-square displacement shows a t power law at intermediate times instead of the t law expec...

First time, an analytical two-dimensional (2D) elasticity solution for arbitrarily supported axially functionally graded (FG) beam is developed. Linear gradation of the material property along the axis of the beam is considered. Using the strain displacement and constitutive relations, governing partial differential equations (PDEs) is obtained by employing Ressiner mixed var...

A novel iterative approach is presented to estimate Young's modulus in homogeneous soft tissues using vibration sonoelastography. A low-frequency (below 100 Hz) external vibration is applied and three or more consecutive frames of B-scan image data are recorded. The internal vibrational motion of the soft tissue structures is calculated from 2D displacements between pairs of consecutive frames,...

Background 3D cine phase-contrast CMR ("4D Flow”) permits quantitative assessment of anomalous alterations of aortic blood flow. Two hemodynamic parameters that have been used for this purpose is the wall shear stress (WSS), which is known to regulate endothelial cell function, and the normalized flow displacement from the vessel center, which was recently shown to correlate with increased grow...

A node-based smoothed finite element method (NS-FEM-T3) using triangular elements and a n-sided polygonal edge-based smoothed FEM (nES-FEM) using polygonal elements is combined to give the smoothed coupled NS/nES-FEM for dynamic analysis of twodimensional (2D) fluid–solid interaction problems based on the pressure–displacement formulation. In the present method, the NS-FEM-T3 is used for the fl...

Correlated random walks (CRW) have been used for a long time as a null model for animal's random search movement in two dimensions (2D). An increasing number of studies focus on animals' movement in three dimensions (3D), but the key properties of CRW, such as the way the mean squared displacement is related to the path length, are well known only in 1D and 2D. In this paper I derive such prope...