Second order effects in an elastic half-space acted upon by non-uniform loads.

In this thesis we consider the second order elasticity problems in an isotropic compressible and incompressible elastic half-space which is acted upon by the non-uniformly distributed loads. Non-uniform normal and shear loading are considered separately. In both cases we obtain the closed form solutions. The basic equations governing the finite elastic deformation are given in chapter I. Chapter II is concerned with the normal load. We employ the Papkovitch-Nueber displacement solution to both linear and second order problems. Several linear and a second order illustrations are presented. Solutions to the incompressible material are also considered. Chapter III discusses the shear load. The displacement vector is chosen to be the Garlerkin\u27s solution plus an additional term. We are able to solve some non-homogeneous fourth-order partial differential equations. Again some linear illustrations are presented and most of these appear to be new. (Abstract shortened by UMI.)Dept. of Mathematics and Statistics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1992 .G865. Source: Masters Abstracts International, Volume: 31-04, page: 1808. Thesis (M.Sc.)--University of Windsor (Canada), 1992

Steady Nonlinear Double-Diffusive Convection in a Porous Medium Based upon the Brinkman–Forchheimer Model

AbstractA theoretical study of the problem of steady nonlinear double-diffusive convection through a porous medium is presented. The Brinkman–Forchheimer model is used to represent the porous medium. A variational formulation is given to deal with the weak solution and the existence, regularity, and uniqueness results are discussed

A new model-based approach for power plant Tube-ball mill condition monitoring and fault detection

AbstractWith the fast growth in intermittent renewable power generation, unprecedented demands for power plant operation flexibility have posed new challenges to the ageing conventional power plants in the UK. Adding biomass to coal for co-fired power generation has become widely implemented practices in order to meet the emission regulation targets. These have impacted the coal mill and power plant operation safety and reliability. The Vertical Spindle mill model was developed through the authors’ work before 2007. From then, the new research progress has been made in modelling and condition monitoring for Tube-ball mills and is reported in the paper. A mathematical model for Tube-ball milling process is developed by applying engineering principles combined with model unknown parameter identifications using a computational intelligent algorithm. The model describes the whole milling process from the mill idle status, start-up to normal grinding and shut-down. The model is verified using on-site measurement data and on-line test. The on-line model is used for mill condition monitoring in two ways: (i) to compare the predicted and measured mill output pressure and temperatures and to raise alarms if there are big discrepancies; and (ii) to monitor the mill model parameter variation patterns which detect the potential faults and mill malfunctions

Baicalein inhibits cell development in papillary thyroid cancer by regulating miR-206/RAP1B pathway

Purpose: To investigate the therapeutic effect of baicalein on papillary thyroid cancer (PTC) cells in vitro and its underlying molecular mechanism.Methods: The human PTC cell line TPC-1 was divided into five groups and treated with distilled water or baicalein at 10, 20, 50, or 100 μM. Next, miR-206, miR-206 inhibitor, the respective negative controls of miR-206 and miR-206 inhibitor, RAP1B small interfering RNA (siRNA), and control vector siRNA were synthesized and transfected into TPC-1 cells. Cell viability, migration, and invasion were measured using the 3-(4,5-dimethyl-2-thiazolyl)-2,5-diphenyl-2-H-tetrazolium bromide (MTT) and Transwell assays. miR-206 expression and Ras-related protein (RAP1B) levels were assessed by quantitative real-time reverse transcription-polymerase chain reaction and western blotting, respectively.Results: Baicalein inhibited TPC-1 cell viability, migration and invasion, upregulated miR-206 expression, and reduced the RAP1B level in a concentration-dependent manner (p < 0.01). miR-206 negatively regulated RAP1B expression and increased the baicalein-induced reduction of RAP1B expression. Moreover, RAP1B overexpression relieved the suppression of cell viability, migration, and invasion caused by baicalein (p < 0.01).Conclusion: Baicalein suppresses cell growth in PTC cells by regulating the miR-206/RAP1B pathway, providing a new therapeutic strategy for PTC treatment. Keywords: Baicalein, Papillary thyroid cancer (PTC), miR-206, RAP1B, Cell viability, Cell invasio