Discussion of a Procedure for Obtaining Bounds on the Overall Response of Power-Law Two-Phase Solids

1995 ◽  
Vol 62 (1) ◽  
pp. 245-247
Author(s):  
B. J. Lee ◽  
M. E. Mear
Keyword(s):  
Power Law ◽  
Two Phase ◽  
Overall Response

scholarly journals Estimates for two-phase nonlinear conductors via iterated homogenization

2013 ◽  
Vol 469 (2153) ◽  
pp. 20120626 ◽  
Author(s):  
Martín I. Idiart ◽  
Pedro Ponte Castañeda
Keyword(s):  
Power Law ◽  
Two Phase ◽  
Volume Fractions ◽  
Overall Response ◽  
Homogenization Approach ◽  
Constituent Phase ◽  
The One ◽  
Extremal Character

Estimates for the overall response of two-phase nonlinear conductors are derived via an iterated homogenization approach. The approach consists in the construction of sequentially laminated microgeometries for which the overall response can be determined exactly. The estimate depends on the one- and two-point microstructural correlations through the volume fractions of each constituent phase and the H-measures of the microstructure. Sample results for power-law random conductors are provided and compared with earlier predictions. The work concludes with a discussion on the possible extremal character of sequential laminates.

Responses to second-line cisplatin-based intraperitoneal therapy in ovarian cancer: influence of a prior response to intravenous cisplatin.

1991 ◽  
Vol 9 (10) ◽  
pp. 1801-1805 ◽  
Author(s):  
M Markman ◽  
B Reichman ◽  
T Hakes ◽  
W Jones ◽  
J L Lewis ◽  
...  
Keyword(s):  
Ovarian Cancer ◽  
Phase Ii ◽  
Small Volume ◽  
Recurrent Ovarian Cancer ◽  
Second Line ◽  
Front Line ◽  
Phase Ii Trials ◽  
Two Phase ◽  
Overall Response ◽  
Intraperitoneal Therapy

Phase II trials of second-line intraperitoneal (IP) cisplatin-based therapy in patients with ovarian cancer have demonstrated the ability of this approach to produce objective antitumor responses, including surgically defined complete responses (CRs), in individuals with persistent small-volume disease after front-line cisplatin-based intravenous (IV) treatment. To examine the influence of a prior response to systemic cisplatin on the activity of second-line IP cisplatin, we retrospectively analyzed two phase II trials of cisplatin-based IP therapy in persistent/recurrent ovarian cancer conducted at our institution. Of the 89 assessable patients on the two trials, 52 (58%) had previously responded to IV cisplatin. The overall response and CR rates to second-line IP cisplatin-based therapy in this previously responding population were 56% and 33%, respectively, compared with overall response and CR rates in the 37 nonresponders to IV cisplatin of 11% and 3%, respectively (P less than .001; chi 2, 1 df). In the 36 patients responding to systemic cisplatin and whose largest tumor mass measured less than 1 cm at IP cisplatin initiation, a 42% CR rate was observed, compared with a 7% CR rate in the 14 patients with the same bulk of disease who had previously failed to respond to systemic cisplatin (P less than .025). We conclude that a prior response to systemic cisplatin strongly influences the antineoplastic activity of second-line IP cisplatin in ovarian cancer.

The Equation of the Limit Replacement Width of Non-Newton Fluid in Eccentric Annulus

2013 ◽  
Vol 807-809 ◽  
pp. 2616-2619
Author(s):  
Yin Qing Liu ◽  
Mei Wei Wang ◽  
Hai Qing Cui
Keyword(s):  
Numerical Solution ◽  
Rheological Properties ◽  
Power Law ◽  
Solution Method ◽  
Cement Slurry ◽  
Power Law Fluid ◽  
Two Phase ◽  
Numerical Solution Method ◽  
Eccentric Annulus ◽  
The One

The equation of the limit replacement width of the one-dimension two-phase flow of Bingham fluid replacing Power law fluid in eccentric annulus was established, the numerical solution method of the equation mentioned above was given and taking the 3 wells, such as the He 104-27 well etc for examples, the limit replacement widths of cement slurry displacing mud, whose rheological properties can be described as Bingham and Power law modles respectively, were calculated, by using the equation and the numerical solution method mentioned above, and compared with those of cement slurry displacing mud, whose rheological properties are all described as Binghanm modle.

Two-Phase Flow Modeling in a Pipe Related to Flow-Induced Vibration

2005 ◽  
Author(s):  
W. G. Sim ◽  
N. W. Mureithi ◽  
M. J. Pettigrew
Keyword(s):  
Void Fraction ◽  
Power Law ◽  
Slug Flow ◽  
Momentum Flux ◽  
Two Phase Flow ◽  
Liquid Velocity ◽  
Fluid Dynamic ◽  
Phase Flow ◽  
Two Phase ◽  
Slip Ratio

To understand the fluid dynamic forces acting on a structure subjected to two-phase flow, it is essential to get detailed information about the characteristics of two-phase flow. The distributions of flow parameters across a pipe, such as gas velocity, liquid velocity and void fraction, may be assumed to follow a power law (Cheng 1998, Serizawa et al. 1975). The void fraction profile is, for example, uniform for bubbly flow while it is more or less parabolic for slug flow. In the present work, the average values of momentum flux, slip ratio, etc. are derived by integral analysis, based on approximate power law distributions. A parametric study with various distributions was performed. The existing empirical formulations for average void fraction, proposed by Wallis (1969), Zuber et al. (1967) and Ishii (1970), are considered to obtain the present results. In particular, the unsteady momentum flux for slug flow is approximated.

Heat Transfer Enhancement in Laminar Slurry Pipe Flows With Power Law Thermal Conductivities

1984 ◽  
Vol 106 (3) ◽  
pp. 539-542 ◽  
Author(s):  
C. W. Sohn ◽  
M. M. Chen
Keyword(s):  
Heat Transfer ◽  
Shear Rate ◽  
Power Law ◽  
Two Phase ◽  
Uniform Wall Temperature ◽  
Uniform Wall ◽  
Laminar Pipe Flow ◽  
Theoretical Results ◽  
Uniform Wall Heat Flux ◽  
Thermal Conductivities

Generalized theoretical results for heat transfer in laminar pipe flow with power law varying thermal conductivities are presented. The study is motivated by experimental observations that above a threshold shear rate the effective thermal conductivity for disperse two-phase mixtures increases with shear rate. Using a relatively general three parameter power law model for conductivity as a function of shear rate, heat transfer results for short and long pipes as well as with developing thermal profiles were obtained for both the uniform wall heat flux and uniform wall temperature conditions. The results show that significant enhancement in heat transfer coefficient could be obtained from the microconvective effects.

Numerical Study on Gas-Yield Power-Law Fluid in T-Junction Minichannel

2019 ◽  
Author(s):  
Abdalsalam Ihmoudah ◽  
Mohamed M. Awad ◽  
Aziz Rahman ◽  
Stephen D. Butt
Keyword(s):  
Film Thickness ◽  
Power Law ◽  
Xanthan Gum ◽  
Numerical Study ◽  
Superficial Velocity ◽  
Bubble Velocity ◽  
Two Phase ◽  
Ansys Fluent ◽  
Power Law Fluids ◽  
Taylor Bubbles

Abstract In this study, a computational examination of Taylor bubbles was performed for gas/non-Newtonian fluid two-phase flows developed in a minichannel T-junction mixer with a hydraulic diameter of 1 mm. The investigations employed three separate aqueous xanthan gum solutions at concentrations of 0.05, 0.1 and 0.15 w/w, which are referred to as non-Newtonian (yield power-law) fluids. The effective concentration of the xanthan gum solutions and superficial velocity of the inlet liquid phase on the length, velocity, and shape of the Taylor bubbles was studied using the ANSYS FLUENT 19 software package. The simulation results show an increase in bubble velocity with increasing film thickness, particularly in solutions of higher viscosity XG-0.15%. Furthermore, bubble lengths decreased as the xanthan gum concentrations increased, but bubble shapes underwent alterations when the concentrations increased. Another interesting result of the tests shows that when the liquid inlet velocity increases, bubble lengths decrease during lower liquid superficial velocity, whereas during higher velocities, they change only slightly after increases in concentration. Finally, with increasing XG concentration, the liquid film thickness around the bubble increased. The results show good agreement with correlations after modifying a capillary number (Ca*) for non-Newtonian liquids in all cases.

scholarly journals Small-angle scattering from multiphase fractals

2014 ◽  
Vol 47 (1) ◽  
pp. 198-206 ◽  
Author(s):  
A. Yu. Cherny ◽  
E. M. Anitas ◽  
V. A. Osipov ◽  
A. I. Kuklin
Keyword(s):  
Power Law ◽  
Small Angle ◽  
Small Angle Scattering ◽  
Variation Method ◽  
Multiphase System ◽  
Model Parameters ◽  
Contrast Variation ◽  
Crossover Point ◽  
Two Phase ◽  
Angle Scattering

Small-angle scattering (SAS) intensities observed experimentally are often characterized by the presence of successive power-law regimes with various scattering exponents whose values vary from −4 to −1. This usually indicates multiple fractal structures of the sample characterized by different size scales. The existing models explaining the crossover positions (that is, the points where the power-law scattering exponent changes) involve only one contrast parameter, which depends solely on the ratio of the fractal sizes. Here, a model that describes SAS from a multiphase system with a few contrast parameters is described, and it is shown that the crossover position depends on the scattering length density of each phase. The Stuhrmann contrast variation method is generalized and applied to experimental curves in the vicinity of the crossover point beyond the Guinier region. The contrast variation is applied not to the intensity itself but to the model parameters, which can be found by fitting the experimental data with the suggested interpolation formula. The model supplements the existing two-phase models and gives the simple condition of their inapplicability: if the crossover point depends on the contrast then a two-phase model is not relevant. The developed analysis allows one to answer the qualitative question of whether one fractal `absorbs' another one or they are both immersed in a surrounding homogeneous medium like a solvent or solid matrix. The models can be applied to experimental SAS data where the absolute value of the scattering exponent of the first power-law regime is higher than that of the subsequent second power-law regime, that is, the scattering curve is `convex' near the crossover point. As is shown, the crossover position can be very sensitive to contrast variation, which influences significantly the length of the fractal range.

Regularized lattice Boltzmann model for immiscible two-phase flows with power-law rheology

2018 ◽  
Vol 97 (3) ◽  
Author(s):  
Yan Ba ◽  
Ningning Wang ◽  
Haihu Liu ◽  
Qiang Li ◽  
Guoqiang He
Keyword(s):  
Power Law ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Two Phase Flows ◽  
Two Phase ◽  
Boltzmann Model

EMERGENCE OF POWER-LAW AND TWO-PHASE BEHAVIOR IN FINANCIAL MARKET FLUCTUATIONS

2013 ◽  
Vol 16 (01) ◽  
pp. 1350008 ◽  
Author(s):  
ZVONKO KOSTANJČAR ◽  
BRANKO JEREN
Keyword(s):  
Probability Measure ◽  
Phase Behavior ◽  
Financial Market ◽  
Power Law ◽  
Energy Functional ◽  
Two Phase ◽  
Share Prices ◽  
Demand Structure ◽  
Stock Share ◽  
Insight Into

In this paper, we provide an insight into the emergence of power-law and two-phase behavior in the financial market fluctuations by defining an analytical model for time evolution of stock share prices. The defined model can exhibit bimodal behavior in the supply-demand structure of the market. Moreover, it differs from existing Ising-type models. It turns out that the constructed model is a solution of a thermodynamic limit of a Gibbs probability measure when the number of investors and the number of stock shares approaches the infinity. The energy functional of the Gibbs probability measure is derived from the Nash equilibrium of the underlying game.

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