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Variational approach for the flow of Ree–Eyring and Casson fluids in pipes
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作者 taha sochi 《International Journal of Modeling, Simulation, and Scientific Computing》 EI 2016年第2期126-138,共13页
The flow of Ree–Eyring and Casson non-Newtonian fluids is investigated using a variational principle to optimize the total stress.The variationally obtained solutions are compared to the analytical solutions derived ... The flow of Ree–Eyring and Casson non-Newtonian fluids is investigated using a variational principle to optimize the total stress.The variationally obtained solutions are compared to the analytical solutions derived from the Weissenberg–Rabinowitsch–Mooney equation and the results are found to be identical within acceptable numerical errors and modeling approximations. 展开更多
关键词 Fluid mechanics tube flow Ree-Eyring Casson Weissenberg-Rabinowitsch-Mooney variational method total stress optimization.
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Emissivity: A Program for Atomic Transition Calculations
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作者 taha sochi 《Communications in Computational Physics》 SCIE 2010年第5期1118-1130,共13页
In this article we report the release of a new program for calculating emissivity and other physical parameters in atomic transition processes.The program,which can be downloaded with its documentation and a sample of... In this article we report the release of a new program for calculating emissivity and other physical parameters in atomic transition processes.The program,which can be downloaded with its documentation and a sample of input and output files from www.scienceware.net/id1.html,passed various rigorous tests and was used alongside R-matrix and Autostructure codes to generate theoretical data and analyze observational data.It is particularly useful for investigating atomic transition lines in astronomical context as the program is capable of generating a huge amount of theoretical data and comparing it to observational line list.A number of atomic transition algorithms and analytical techniques are implemented within the program and can be very useful in various situations.The program can be described as fast and efficient.Moreover,it requires modest computational resources. 展开更多
关键词 Atomic transition recombination AUTOIONIZATION EMISSIVITY computer code thermodynamic equilibrium decay routes Saha population
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NEWTONIAN FLOW IN CONVERGING-DIVERGING CAPILLARIES
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作者 taha sochi 《International Journal of Modeling, Simulation, and Scientific Computing》 EI 2013年第3期84-96,共13页
The one-dimensional Navier–Stokes equations are used to derive analytical expressions for the relation between pressure and volumetric flow rate in capillaries of five different converging-diverging axisymmetric geom... The one-dimensional Navier–Stokes equations are used to derive analytical expressions for the relation between pressure and volumetric flow rate in capillaries of five different converging-diverging axisymmetric geometries for Newtonian fluids.The results are compared to previously derived expressions for the same geometries using the lubrication approximation.The results of the one-dimensional Navier–Stokes are identical to those obtained from the lubrication approximation within a nondimensional numerical factor.The derived flow expressions have also been validated by comparison to numerical solutions obtained from discretization with numerical integration.Moreover,they have been certified by testing the convergence of solutions as the converging-diverging geometries approach the limiting straight geometry. 展开更多
关键词 Fluid dynamics one-dimensional Navier-Stokes converging-diverging capillaries Newtonian fluids.
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