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An Algebraic Method That Includes Gibbs Minimization For Performing Phase Equilibrium Calculations For Any Number Of Components Or Phases, Gustavo A. Iglesias-Silva, Adrian Bonilla-Petriciolet, Philip T. Eubank, James Holste, Kenneth R. Hall
An Algebraic Method That Includes Gibbs Minimization For Performing Phase Equilibrium Calculations For Any Number Of Components Or Phases, Gustavo A. Iglesias-Silva, Adrian Bonilla-Petriciolet, Philip T. Eubank, James Holste, Kenneth R. Hall
Adrian Bonilla-Petriciolet
The most widely used technique for performing phase equilibria calculations is the K-value method (equality of chemical potentials). This paper proposes a more efficient algorithm to achieve the results that includes Gibbs minimization when we know the number of phases. Using the orthogonal derivatives, the tangent plane equation and mass balances, it is possible to reduce the Gibbs minimization procedure to the task of finding the solution of a system of non-linear equations. Such an operation is easier and faster than finding tangents or areas, and appears to converge as fast as the K-value method. Examples illustrate application of the …
Fluorosis Y Caries Dental En Niños De 9 – 11 Años Del Estado De Aguascalientes, México, Virginia Hernández-Montoya, José Bueno-López, Ana Sánchez-Ruelas, Josafat García-Servín, Rodolfo Trejo-Vázquez, Adrian Bonilla-Petriciolet, Carlos Márquez-Algara
Fluorosis Y Caries Dental En Niños De 9 – 11 Años Del Estado De Aguascalientes, México, Virginia Hernández-Montoya, José Bueno-López, Ana Sánchez-Ruelas, Josafat García-Servín, Rodolfo Trejo-Vázquez, Adrian Bonilla-Petriciolet, Carlos Márquez-Algara
Adrian Bonilla-Petriciolet
A significant proportion of drinking water-supplying wells from Aguascalientes show a fluoride concentration higher than 1.5 mg/L. In this Mexican state there is a chronic fluoride exposure through tap water. However, there is not enough epidemiological information about public health damage caused by fluoride exposure in Aguascalientes. The objective of this study is to determine the prevalences of dental fluorosis and caries in 445 children 9–11 years old. Dental fluorosis prevalences close to 100 % were found in children exposed to tap water with fluoride concentration higher than 5.0 mg/L. Even for children exposed to tap water with a fluoride …