A new analytical equation for prediction of temperature profile of a buried gas pipeline is developed. Utility of this equation is illustrated by its application to corresponding states principle. The resulting equation is tested through prediction of the actual Schorre data. It is shown that the new equation can predict temperature profile more accurately than the others without using any char...

it is well known that the parabolic partial differential equationsin two or more space dimensions with overspecified boundary data,feature in the mathematical modeling of many phenomena. in thisarticle, an inverse problem of determining an unknowntime-dependent source term of a parabolic equation in generaldimensions is considered. employing some transformations, wechange the inverse problem to...

the assumptions considered in developing the saint-venant equations limit their application in many practical situations. the modified boussinesq equation was presented to overcome the limitation imposed by saint-venant equation due to the presence of non-hydrostatic pressure distribution and steep slope. in this paper a computational model was developed for solving the modified and the traditi...

the aerial oxidation of hydroquinone in a freshly prepared developer solution at 20°c has been studied through the measurement of concentration changes by a spectrophotometric method. the concentration of consumed hydroquinone is directly proportional to time, and the equation til2 = c, / 0.0786 was obtained to calculate the half-life of the developer. in this equation, the half-life is in hour...

in this paper, a boussinesq equation is solved by using the adomian's decomposition method, modified adomian's decomposition method and homotopy analysis method. the approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. the existence and uniqueness of the solution and the convergence of the propose...

in this paper operational matrix of bernstein polynomials (bps) is used to solve bratu equation. this nonlinear equation appears in the particular elecotrospun nanofibers fabrication process framework. elecotrospun organic nanofibers have been used for a large variety of filtration applications such as in non-woven and filtration industries. by using operational matrix of fractional integration...

Evaporation is a fundamental parameter in the hydrological cycle. This study examines the performance of M5model tree and artificial neural network (ANN) models in estimating potential evapotranspiration calculated byPenman- Monteith and Hargreaves- Samani equations. Daily weather data from two meteorological stations in asemi-arid climate of Iran, namely Kerman and Zahedan, were collected duri...