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Articles 1471 - 1500 of 2359
Full-Text Articles in Chemical Engineering
Structural Properties Of Mixtures Of Highly Asymmetrical Electrolytes And Uncharged Particles Using The Hypernetted Chain Approximation, Daniel Forciniti, Carol K. Hall
Structural Properties Of Mixtures Of Highly Asymmetrical Electrolytes And Uncharged Particles Using The Hypernetted Chain Approximation, Daniel Forciniti, Carol K. Hall
Chemical and Biochemical Engineering Faculty Research & Creative Works
We have solved the Ornstein-Zernike equation in the hypernetted chain (HNC) approximation for several mixtures of electrolytes and uncharged hard spheres. The mixtures that we studied range from a simple restricted primitive model plus hard spheres of the same size to highly asymmetric electrolytes plus hard spheres of different sizes. We monitored the radial distribution function and thermodynamic properties. We find that the presence of neutral particles changes the nature of the interaction between the charged particles. We also find a strong correlation between nonelectrostatic and electrostatic contributions to the free energy of the mixtures. Potential applications of this approach …
Dominance Of The Thomas Mechanism For Electron Capture From Orientated Rydberg Atoms, Jee-Ching Wang, Ronald E. Olson
Dominance Of The Thomas Mechanism For Electron Capture From Orientated Rydberg Atoms, Jee-Ching Wang, Ronald E. Olson
Chemical and Biochemical Engineering Faculty Research & Creative Works
We investigate electron capture from initially oriented circular Rydberg atoms by proton impact at collision speeds comparable to the electron orbital speed. The Thomas double scattering mechanism is observed even at these low relative speeds. Furthermore, we find evidence for the dominance of a quasi Thomas capture mechanism in the form of not a single peak, but a double-peaked structure in the differential cross section when the plane of the circular orbit is nearly perpendicular to the incident direction of the projectile. © 1994 The American Physical Society.
Multiphase Equilibrium Behavior Of The Mixture Carbon Dioxide + Ethane + Methanol, Seung Pyo Hong, Christi L. Patton (Luks), Kraemer D. Luke
Multiphase Equilibrium Behavior Of The Mixture Carbon Dioxide + Ethane + Methanol, Seung Pyo Hong, Christi L. Patton (Luks), Kraemer D. Luke
Chemical and Biochemical Engineering Faculty Research & Creative Works
The Three-Phase Liquid-Liquid-Vapor (Llg) Phase Equilibrium Behavior of the Mixture Carbon Dioxide + Ethane + Methanol Was Experimentally Studied. the Boundaries of the Three-Phase Llg Region in Pressure-Temperature Space Are Delineated. Compositions and Molar Volumes of the Two Liquid Phases and the Vapor Phase Along the 288.15 and 298.15 K Isotherms Are Reported. © 1994, American Chemical Society. All Rights Reserved.
Writing Across The Chemical Engineering Curriculum At The University Of North Dakota, Douglas K. Ludlow, Kirk H. Schulz
Writing Across The Chemical Engineering Curriculum At The University Of North Dakota, Douglas K. Ludlow, Kirk H. Schulz
Chemical and Biochemical Engineering Faculty Research & Creative Works
In Order to Prepare Engineering Graduates with the Written and Oral Communication Skills Needed in their Professional Careers a Coordinated Writing Across the Curriculum (WAC) Program Has Developed in the Chemical Engineering Department at the University of North Dakota. the Students Practice and Develop their Skills with Writing Assignments in Both Lecture and Laboratory Courses from the First‐year Level through the Fourth‐year Capstone Design Course. the Coordinated Approach, especially in the Four‐semester Laboratory Sequence, Allows the Students to Develop their Skills by Building on Communication Experiences in Previous Courses. the WAC Program at UND Including Writing and Public Speaking Assignments …
Final State Distributions For Electron Capture From Orientated Rydberg Atoms, Jee-Ching Wang, Ronald E. Olson
Final State Distributions For Electron Capture From Orientated Rydberg Atoms, Jee-Ching Wang, Ronald E. Olson
Chemical and Biochemical Engineering Faculty Research & Creative Works
Final state nim distributions are studied for electron capture from orientated circular Rydberg atoms. Strong orientation effects are found for all quantum numbers at collision speeds comparable to the electron orbital speed. Predominant population of large m states is observed when the plane of the circular orbit is nearly perpendicular to the incident direction of the projectile. The Ini distributions show structures due to quasi-Thomas scattering even at low relative collision velocities. © 1993 IOP Publishing Ltd.
Ionic Charge Dependence Of The Zero Degree Binary Encounter Peak For Partially Stripped Heavy Ions, W. Wolff, H. E. Wolff, J. L. Shinpaugh, Jee-Ching Wang, Ronald E. Olson, D. Fainstein, S. Lencinas, U. Bechthold, R. Herrmann, H. Schmidt-Bocking
Ionic Charge Dependence Of The Zero Degree Binary Encounter Peak For Partially Stripped Heavy Ions, W. Wolff, H. E. Wolff, J. L. Shinpaugh, Jee-Ching Wang, Ronald E. Olson, D. Fainstein, S. Lencinas, U. Bechthold, R. Herrmann, H. Schmidt-Bocking
Chemical and Biochemical Engineering Faculty Research & Creative Works
We report on the measurements of double differential cross sections, at zero degree, for the production of secondary electrons from the collision of 0, 6 MeV amu-1 Cu5+, I7+, Au11+, U13+, Cu19+, t23+ and Au29+ projectiles with H2 and He. The shapes and positions of the observed binary encounter electron peaks are compared with continuum distorted wave-eikonal initial state (CDW-EIS), impulse approximation and classical trajectory Monte Carlo calculations, as well as with predictions from an adiabatic resonant tunnelling model recently proposed by Fainstein and co-workers. The …
Dependence Of Binary Encounter Electron Production On The Charge State Of The Recoil Ion, Jee-Ching Wang, Ronald E. Olson, H. Wolf, J. Shinpaugh, W. Wolff, H. Schmidt Böcking
Dependence Of Binary Encounter Electron Production On The Charge State Of The Recoil Ion, Jee-Ching Wang, Ronald E. Olson, H. Wolf, J. Shinpaugh, W. Wolff, H. Schmidt Böcking
Chemical and Biochemical Engineering Faculty Research & Creative Works
We study the dependence of the production of binary encounter electrons on the charge state of recoil ions for 2.4 MeV u-l Xe21+ on He and Ar. Doubly differential cross sections of electron emission are calculated with the ncrMC method. We find that the contributions to the binary electron cross section from various recoil ion charge states reach a maximum near Ar5+ for the Ar target. In the case of the He target; double ionization dominates over single ionization for alt ejected electron energies above 100 eV. However, an unexpected local drop of double ionization in the …
Behavior Of Bubble Columns, Clint Davison
Behavior Of Bubble Columns, Clint Davison
Opportunities for Undergraduate Research Experience Program (OURE)
In the research program I studied different methods used in mixing gas and liquid in industrial reactors. I was introduced to the bubble column, the airlift reactor, and the bubbling stir tank through text reading, experimentation, and designing. From readings coming from the instrument and observation with my own eyes, I was able to learn much about the flow of particles in tanks such these.
The bubble column and the airlift reactor contain two sections of water flow (riser and downcomer). The riser area has a lower bulk density of fluid because of the rising air bubbles. The downcomer area …
Assessment Of Environmental Implications Of Abandoned Oil And Gas Wells, Donald L. Warner, Cary L. Mcconnell
Assessment Of Environmental Implications Of Abandoned Oil And Gas Wells, Donald L. Warner, Cary L. Mcconnell
Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works
A detailed study was made of the potential for abandoned oil and gas wells in the Lower Tuscaloosa sand of Mississippi and Louisiana to act as conduits for movement of saline water from the Lower Tuscaloosa into underground sources of drinking water (USDW's). Finite-difference numerical modeling determined the extent that water might be forced from the Lower Tuscaloosa sand into a USDW as a result of injection into the Lower Tuscaloosa. Within the range of conditions modeled, water from the Lower Tuscaloosa never traveled into a USDW. On the basis of the modeling, we concluded that it is unlikely that …
Reversible Complexation Of O2 To (Meso-Tetraphenylporphyrinato)Cobalt(Ii) Plasma Polymer And Sublimed Films At Room Temperature, J. M. Skelly, Nicholas C. Morosoff, V. T. Stannett, A. L. Crumbliss
Reversible Complexation Of O2 To (Meso-Tetraphenylporphyrinato)Cobalt(Ii) Plasma Polymer And Sublimed Films At Room Temperature, J. M. Skelly, Nicholas C. Morosoff, V. T. Stannett, A. L. Crumbliss
Chemical and Biochemical Engineering Faculty Research & Creative Works
No abstract provided.
Lattice Boltzmann Thermohydrodynamics, F. J. Alexander, S. Chen, J. D. Sterling
Lattice Boltzmann Thermohydrodynamics, F. J. Alexander, S. Chen, J. D. Sterling
Business and Information Technology Faculty Research & Creative Works
We introduce a lattice Boltzmann computational scheme capable of modeling thermohydrodynamic flows of monatomic gases. The parallel nature of this approach provides a numerically efficient alternative to traditional methods of computational fluid dynamics. The scheme uses a small number of discrete velocity states and a linear, single-time relaxation collision operator. Numerical simulations in two dimensions agree well with exact solutions for adiabatic sound propagation and Couette flow with heat transfer. © 1993 The American Physical Society.
Diffraction In The Binary Encounter Electron Peak Observed In Collisions Of 0.6 Mev Amu⁻¹ I7+, I23+ And Au11+ Projectiles With He And Ar, W. Wolff, J. L. Shinpaugh, H. E. Wolff, Ronald E. Olson, Jee-Ching Wang, S. Lencinas, D. Piscevic, R. Herrmann, H. Schmidt-Böcking
Diffraction In The Binary Encounter Electron Peak Observed In Collisions Of 0.6 Mev Amu⁻¹ I7+, I23+ And Au11+ Projectiles With He And Ar, W. Wolff, J. L. Shinpaugh, H. E. Wolff, Ronald E. Olson, Jee-Ching Wang, S. Lencinas, D. Piscevic, R. Herrmann, H. Schmidt-Böcking
Physics Faculty Research & Creative Works
Relative double differential cross sections for electron emission from collisions of 0.6 MeV amu-1I7+and I23+ projectiles with Ar and Au11+projectiles with He were measured for electron energies from 100 eV to 2000 eV and for angles from 0° to 50°. Experimentally observed sudden shifts of the position of the binary encounter peak were interpreted as resulting from quantum interference in the scattering of target electrons from the partially stripped projectile ion. To this end calculations for the elastic scattering of free electrons initially at rest in the laboratory reference frame from the screened …
Product Distributions In The Co2-Nh3-H2o System From Liquid Conductivity Measurements, James E. Pelkie, P. John Concannon, David B. Manley, Bruce E. Poling
Product Distributions In The Co2-Nh3-H2o System From Liquid Conductivity Measurements, James E. Pelkie, P. John Concannon, David B. Manley, Bruce E. Poling
Chemical and Biochemical Engineering Faculty Research & Creative Works
The objective of this work was to illustrate how liquid conductivity measurements could be used to provide information about the extent of ionization and the amounts of the various ionic products that are formed in the liquid phase in the CO2-NH3-H2O system. To accomplish this, pressures and liquid-phase conductivities for the CO2-NH3-H2O system were measured at 25 °C and over a range of pressures and concentrations. In order to acquire the desired information from bulk conductivity measurements, calibration curves were established from measurements with several potassium salts. These …
Some Observations Of Bispectral Behavior Of Large Ensembles Of Exact Solutions To The Burgers Equation For Random Initial Conditions, Weiguo Zheng, X. B. Reed
Some Observations Of Bispectral Behavior Of Large Ensembles Of Exact Solutions To The Burgers Equation For Random Initial Conditions, Weiguo Zheng, X. B. Reed
Chemical and Biochemical Engineering Faculty Research & Creative Works
Accurate bispectra for the Burgers equation have been computed into the high wave-number domain. Although only the imaginary part ib(k,l) contributes to spectral transfer, new insights having implications for three-dimensional turbulence can be gained by incorporating the real part a(k,l). For fixed l, for instance, the modulus of the bispectrum of the Burgers equation manifests a power-law subrange corresponding to the inertial subrange of the energy spectrum and an exponential subrange corresponding to the viscous cutoff of the energy spectrum. © 1992 American Institute of Physics.
Preparation Of A Plasma Polymer Containing Phosphine Complexed Nickel By Concurrent Nickel Evaporation, N. (Nicholas) C. Morosoff, S. D. Clymer, A. L. Crumbliss
Preparation Of A Plasma Polymer Containing Phosphine Complexed Nickel By Concurrent Nickel Evaporation, N. (Nicholas) C. Morosoff, S. D. Clymer, A. L. Crumbliss
Chemical and Biochemical Engineering Faculty Research & Creative Works
This article describes one of the first examples of concurrent metal evaporation and substituted hydrocarbon plasma polymerization as a general method for preparing thin films containing a metal coordinated to a plasma polymer. In this report, the evaporation of Ni into a triallyl phosphine (TAP) glow discharge is described Deposition of a plasma polymer with concurrent reaction of Ni atoms with phosphine groups forms nickel containing triallyl phosphine plasma polymer, NiTAPPP. The chemical nature of the product is derived on the basis of infrared spectra taken of the film as formed and after reaction with air, CO, and NO. The …
Triallylphosphine Plasma Polymerization And Reaction Of The Product With Volatile Transition Metal Compounds, S. D. Clymer, Nicholas C. Morosoff, A. L. Crumbliss
Triallylphosphine Plasma Polymerization And Reaction Of The Product With Volatile Transition Metal Compounds, S. D. Clymer, Nicholas C. Morosoff, A. L. Crumbliss
Chemical and Biochemical Engineering Faculty Research & Creative Works
The plasma polymerization of triallyl phosphine in order to form a crosslinked polymer thin film is described. The plasma polymer thin film has been characterized and shown to contain a high proporation of C=C and P groups conserved from the monomer. The accessibility of the phosphine groups has been demonstrated by reaction with O2, NO, Ni(CO)4, and Fe(CO)5. Reaction with O2, and NO results in a P=O moiety formation. Reaction with the gaseous metal carbonyls results in fixation of the metal via complexation by the P groups as a result of exchange …
Interaction Of Sodium, Sulfur, And Silica During Coal Combustion, Thomas A. Erickson, Douglas K. Ludlow, Steven A. Benson
Interaction Of Sodium, Sulfur, And Silica During Coal Combustion, Thomas A. Erickson, Douglas K. Ludlow, Steven A. Benson
Chemical and Biochemical Engineering Faculty Research & Creative Works
The Interaction of Sodium, Sulfur, and Silica at Conditions Typical in a Pulverized Coal Furnace Was Investigated by using Both Model Mixtures and a Synthetic Coal. the Model Mixtures Consisted of Selected Inorganic Constituents that Were Well Mixed in Proportions Typically Found in Low-Rank Coal. the Synthetic Coal Consisted of a Furfuryl Alcohol Polymer with Appropriate Amounts of Sodium, Sulfur, and Silica to Duplicate the Characteristics of Low-Rank Coal. the Model Mixtures and Synthetic Coal Were Burned in a Laminar Flow (Drop-Tube) Furnace at 900, 1100, 1300, and 1500 °C and Residence Times of 0.1,0.5,1.5, and 2.4 S. the Resulting …
Network Model Investigation Of Gas Transport In Bidisperse Porous Adsorbents, John H. Petropoulos, John K. Petrou, Athanasios I. Liapis
Network Model Investigation Of Gas Transport In Bidisperse Porous Adsorbents, John H. Petropoulos, John K. Petrou, Athanasios I. Liapis
Chemical and Biochemical Engineering Faculty Research & Creative Works
A capillary network model consisting of a micropore network permeated by one of macropores of randomly varying size has been constructed. Although simplified (to keep computer space and time requirements low) in relation to a real bidisperse porous adsorbent or catalyst, it embodies the salient pore structural features likely to determine the gas-transport behavior of such porous solids. Suitable model calculations of Knudsen gas-phase and surface diffusion enabled us to (i) validate useful approximate methods for the more economical evaluation of network permeability and (ii) demonstrate certain important characteristic effects of nonrandom bidisperse pore structure on transport behavior and their …
Vapor-Liquid Equilibrium Data For The Nh3-H2o System And Its Description With A Modified Cubic Equation Of State, Thomas M. Smolen, David B. Manley, Bruce E. Poling
Vapor-Liquid Equilibrium Data For The Nh3-H2o System And Its Description With A Modified Cubic Equation Of State, Thomas M. Smolen, David B. Manley, Bruce E. Poling
Chemical and Biochemical Engineering Faculty Research & Creative Works
New pressure-temperature-overall composition vapor-liquid equilibrium (VLE) data are reported for the ammonia-water system at five temperatures between 20 and 140 °C and up to 500 pela. These data have been converted to T-P-x data, and vapor-phase compositions have been calculated by means of a Rediich-Kwong equation of state modified to Include Peneloux's volume translation and a density-dependent mixing rule. In order to achieve agreement of calculated vapor-phase compositions with previous literature results, H was necessary to use different kij values In the vapor and liquid phases. © 1991, American Chemical Society. All rights reserved.
Model Calculational Approach To The Conformation Of Adsorbed Polypeptide Fragments, Timothy J. Mckeon
Model Calculational Approach To The Conformation Of Adsorbed Polypeptide Fragments, Timothy J. Mckeon
Opportunities for Undergraduate Research Experience Program (OURE)
The focus of the paper is to examine possible conformational changes of peptides when placed in the presence of a poly-synthetic material. A major concern in the pharmaceutical industry is the loss of potency of polypeptide drug products during processing, packaging and storage. An example of this is polymer syringes being used in place of glass ones. The effect is that some protien-derived products experience structural changes due to contact with the polymer. This is otherwise known as surface denaturation. In order to understand the energetics of interfacial polypeptide systems, a calculational approach was used via the program Alchemy. The …
Two-Phase Flow Measurement, Glenn Brenneke
Two-Phase Flow Measurement, Glenn Brenneke
Opportunities for Undergraduate Research Experience Program (OURE)
Liquid fuel engines have many applications in today's world. Diesel, spark-ignition, and gas turbine engines, and furnaces are just a few of the many applications of liquid fuel sprays. With the rising cost of fuel and need for energy conservation it is imperative that more efficient engines be developed. Analyzing liquid fuel spray characteristics non-intrusively could unlock the door to powerful highly efficient engines in the future.
The vaporization of fuel is mandatory in liquid fuel combustion. Vaporization and the fuel to air ratio are important characteristics of the spark-ignition engine. Compression ignition is controlled by the parameters of the …
Establishment Of A Phase/Doppler Particle Analyzer For Two-Phase Flow Experiments, J. L. Burget
Establishment Of A Phase/Doppler Particle Analyzer For Two-Phase Flow Experiments, J. L. Burget
Opportunities for Undergraduate Research Experience Program (OURE)
The accurate measurement of liquid spray drop size and velocity is important in a variety of applications. These applications include agricultural sprays, furnaces, spark ignition and compression ignition engines, gas turbines, and a variety of industrial processes. Because of the need to improve combustion efficiency and minimize soot and other harmful emissions, one of the most active areas of research is fuel spray combustion. Quantitative measurements of the vapor phase in fuel sprays is vital to the understanding of spray dynamics and the operation of combustion devices.
There are various measurement techniques available to measure vapor phase characteristics in a …
Unreachable Roots For Global Homotopy Continuation Methods, Soo Hyoung Choi, Neil L. Book
Unreachable Roots For Global Homotopy Continuation Methods, Soo Hyoung Choi, Neil L. Book
Chemical and Biochemical Engineering Faculty Research & Creative Works
No abstract provided.
Increased Separation By Variable-Temperature Stepwise Desorption In Multicomponent Adsorption Processes, Suvit Kulvaranon, Marshall E. Findley, Athanasios I. Liapis
Increased Separation By Variable-Temperature Stepwise Desorption In Multicomponent Adsorption Processes, Suvit Kulvaranon, Marshall E. Findley, Athanasios I. Liapis
Chemical and Biochemical Engineering Faculty Research & Creative Works
When more components than desired are adsorbed, adsorption-desorption separation processes may not be satisfactory. However, in the cases of ethanol and water adsorption on activated carbon, propane and propylene adsorption on molecular sieves, and hydrogen sulfide, carbon dioxide, and propane adsorption on molecular sieves, it has been found that a variable-temperature stepwise desorption (VTSD) procedure following the adsorption stage can significantly increase the degree of separation achieved compared to a complete desorption of all adsorbed components. Studies indicate that these increased separations are in part due to nonequilibrium effects. An estimation of economic factors in separating low concentration propylene in …
Effect Of Viscoplastic Flow Rules On The Initiation And Growth Of Shear Bands At High Strain Rates, R. C. Batra, Chang-Soo Kim
Effect Of Viscoplastic Flow Rules On The Initiation And Growth Of Shear Bands At High Strain Rates, R. C. Batra, Chang-Soo Kim
Mechanical and Aerospace Engineering Faculty Research & Creative Works
Marchand and Duffy have reported detailed measurements of the temperature and strain as a shear band develops in a HY-100 steel. Assuming their torsional tests in thin-wall tubes can be adequately modeled by a viscoplastic block undergoing overall adiabatic simple shearing deformations, we investigate the effect of modeling the viscoplastic response of the material by a.power law, and flow rules proposed by Litonski, Bodner and Partom, and Johnson and Cook. Each of these flow rules is first calibrated by using the test data at a nominal strain-rate of 3300 s-1. Then predictions from the use of these flow rules at …
The Fractal Dimension As A Measure Of The Roughness Of Rock Discontinuity Profiles, Y. H. Lee, J. R. Carr, David J. Barr, Charles J. Haas
The Fractal Dimension As A Measure Of The Roughness Of Rock Discontinuity Profiles, Y. H. Lee, J. R. Carr, David J. Barr, Charles J. Haas
Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works
An important factor in the analysis of deformation and failure of rock masses along discontinuities is the roughness of the jointing surfaces. The fractal dimension is proposed as a method of objectively quantifying the roughness profile of such discontinuities. With this method much less engineering judgement and experience are required in determining the surface roughness,sb than is required for other methods such as the widely used joint roughness coefficient (JRC) suggested by the International Society for Rock Mechanics [1] (Int. J. Rock. Mech. Min. Sci. & Geomech. Abstr. 15, 319-368, 1978). The fractal dimension, suggested by Mandelbrot [2] (Fractals-Form, Chance …
Paraffin Deposition Property Measurement Using Differential Scanning Calorimetry, Kevin Lynn Thornsberry
Paraffin Deposition Property Measurement Using Differential Scanning Calorimetry, Kevin Lynn Thornsberry
Masters Theses
Differential Scanning Calorimetry (DSC) has been used in past studies to identify the cloud points of diesel fuels, lube oils, jet fuels etc. and it has been assumed that its application extends to all paraffinic hydrocarbons. To verify this and to investigate the possible application of Differential Scanning Calorimetry to the production phase of the petroleum industry, the onset of wax crystallization is compared with ASTM cloud point for a number of paraffinic mixtures including a variety of crude oils. Results show cloud point can be determined for crudes using DSC. Additionally, wax content can be found on a known …
Vle For 1,3-Butadiene With 1,2-Butadiene And Propyne, Patrick J. Gripka
Vle For 1,3-Butadiene With 1,2-Butadiene And Propyne, Patrick J. Gripka
Masters Theses
"Vapor pressures for pure 1,3-butadiene, 1,2-butadiene and propyne and 10 binary mixtures are reported at 5, 20, 35, 50, and 65°C. An equation of state utilizing saturated vapor and liquid densities is used to correlate the experimental data. Calculated relative volatilities and saturated densities are reported for the systems 1,3-butadiene - 1,2-butadiene and 1,3-butadiene - propyne. The thermodynamic excess functions Helmholtz free energy, Gibbs free energy, entropy, enthalpy, internal energy, volume, and heat capacity are derived for the equation of state and the excess properties are reported for the two systems"--Abstract, p. iv.
Improved Streamline-Generating Technique That Uses The Boundary (Integral) Element Method, Daopu Thompson Numbere, D. Tiab
Improved Streamline-Generating Technique That Uses The Boundary (Integral) Element Method, Daopu Thompson Numbere, D. Tiab
Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works
The boundary element method (BEM) has been used to generate streamlines for homogeneous and sectionally homogeneous reservoirs having irregular boundaries. This technique is superior to earlier methods that use 'image wells' to simulate the reservoir boundary, especially for cases where the reservoir boundary is irregularly shaped. It has wider applicability to different kinds of reservoirs and eliminates the need for trial-and-error solutions. The errors caused by discretization and numerical approximation arise on and adjacent to the boundaries only, therefore the pressures and pressure gradients on which the streamlines are derived can be calculated with very high accuracy in the interior …
Oxygen Tension Profiles In Tumors Predicted By A Diffusion With Absorption Model Involving A Moving Free Boundary, B. H. Arve, Athanasios I. Liapis
Oxygen Tension Profiles In Tumors Predicted By A Diffusion With Absorption Model Involving A Moving Free Boundary, B. H. Arve, Athanasios I. Liapis
Chemical and Biochemical Engineering Faculty Research & Creative Works
The dynamic behavior of the oxygen tension distribution in tumors during radiotherapy is studied by the development and solution of a diffusion with absorption model involving a moving free boundary. The oxygen uptake rates within the tumor are considered to be functions of the oxygen concentration and results are presented for zeroth-, half-, first- and second-order rates of absorption, as well as when the rate of oxygen absorption is described by the Michaelis-Menten expression. The results presented in this work may be used together with the data from the oxygen radiosensitivity curve of a tumor, in order to determine the …