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Now showing items 1-10 of 100

#### A Mathematical Curiosity in Estimating the Radius of the First Ring Electrons of an Arbitary Atom

(University of Texas at Arlington, 1984)

In this note, we explore an elementary method for approximating the radii and speeds of first ring electrons in atoms. The approach uses only a single
algebraic equation with parameters. Any particular atom under study ...

#### Melting Points of Atomic and Homogeneous, Diatomic Molecular Solids Via the Four-Body Problem

(University of Texas at Arlington, 1992-10)

For a regular tetrahedral arrangement of four identical atoms, the minimum velocity of one atom, required for that atom to pass through the plane of the other three, is used to define the melting point of any solid composed ...

#### On a New Mathematical Model of the Molecular Bond

(University of Texas at Arlington, 2001-05)

Using a new model of the molecular bond, we produce a set of initial conditions for the ground state H2 molecule which yield, over one complete period, bond length and vibrational frequency which are identical to the ...

#### Pressure Method for the Numerical Solution of Transient, Compressible Fluid Flown

(University of Texas at Arlington, 1983-08)

In this paper the pressure method for incompressible fluid flow simulation is extended and applied to the numerical simulation of compressible fluid
flow. The governing equations, obtained from the physical principles ...

#### Programs and Data Sets for Quasimolecular Modeling of Cavity Flow

(University of Texas at Arlington, 1987-01)

#### Heating Water Vapor in a Square Cavity Using Molecular and Particle Mechanics

(University of Texas at Arlington, 1999-02)

This paper explores the computer simulation of heating water vapor in a square cavity. Both molecular and particle mechanics are applied. A particular parameter called vel, found on the micro level, is shown to be applicable ...

#### A Molecular Mechanics Simulation of Cracks and Fractures in a Sheet of Ice

(University of Texas at Arlington, 1998-07)

Rectangular, two dimensional sheets of ice molecules are both stressed and compressed. Computer examples compare dynamical responses when the plate has a slot or does not have a slot. The mechanisms for both crack and ...

#### Numerical Simulation of Miscible and Immiscible Fluid Flows in Porous Media

(University of Texas at Arlington, 1981-02)

Fast, economical, and accurate finite difference numerical methods are developed for approximating continuum
models of both miscible and immiscible fluid flows in porous media. The methods apply to very general systems ...

#### Particle Simulation in Contact Mechanics of a Bouncing Elastic Ball

(University of Texas at Arlington, 1999-05)

An elastic ball is simulated by considering lumped mass molecular sets called particles. Particles are allowed to interact only locally in a fashion similar to that employed in molecular mechanics. Under local and gravity ...

#### Supercomputer Simulation of Sessile and Pendent Drops

(University of Texas at Arlington, 1987)

A intermolecular approach is developed for the modeling of sessile and pendent drops. Fundamental mechanisms of drop formation are formulated in terms of gravity and classical
intermolecular type forces. CRAY X-MP/24 ...