Papers by Keyword: Governing Equations

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Authors: Su Hou De, Zhang Yu Fu, Che Ji Yong, Wu Shi Lei, Xiao Long Wen
Abstract: The velocity distribution coupled thermal and fluid flow a rib-tube was studied in this article. Based on theory analysis and numerical simulation, we choose modal and wall function to simulate the flow in rib-tube, velocity to definite the dispersed phase. The governing equations were built and solved by numerical way. The progress of flow and heat exchange in rib-tube, the rules and contours of temperature, velocity were obtained, they shows that, along the rib-tube, velocity was changed with the temperature rising , which could give us a reference for engineering application .
558
Authors: Hui Rong Huang, Ji Ping Hao, Hai Xia Zhang, Yi Huang
Abstract: Displacement fundamental equations of moderately thick shallow spherical shells in polar coordinates concerning five independent variables, i.e. five middle surface displacements are established, based on the displacement fundamental equations of the moderately thick shells by transverse shearing deformation and basic hypothesis on shallow shells. Four assistant displacement functions are introduced to solve displacement fundamental equations of circular moderately thick shallow spherical shells , which are tenth-order differential equations with variable coefficient, then the decoupled governing differential equations are built up, and five displacement components through four assistant displacement functions are obtained.
2071
Authors: Hui Rong Huang, Ji Ping Hao, Hai Xia Zhang, Yi Huang
Abstract: Displacement fundamental equations of the moderately thick cylindrical shallow shells concerning five independent variables, i.e. five middle surface displacements are established based on the displacement fundamental equations of the moderately thick shells by transverse shearing deformation and basic hypothesis on shallow shells. Three assistant displacement functions are introduced to solve the equations, which are tenth-order differential equations with variable coefficient; and then five second-order differential equations are converted into a second-order differential equation and two fourth-order transition differential equations using the Cauchy-Riemann condition, afterwards another assistant displacement function is introduced to build its decoupled governing differential equations, finally five displacement components through four assistant displacement functions are obtained.
2066
Authors: Qiang Liang, Xi Chun Chen, Hao Ren, Cheng Bin Shi, Han Jie Guo
Abstract: A comprehensive analysis of the physical processes that occur in Electroslag Remelting (ESR) process under steady state conditions and axisymmetric was performed using the simulation software MeltFlow. The detailed plots of current distribution, volumetric heating, flow, temperature and turbulent mixing provide insight into the various physical phenomena that occur in ESR process. The effect of current frequency on various physical fields was analyzed. It is shown that, the current in the slag tends to become more uniform due to the low electrical conductivity of the slag; after the current enters the ingot, the skin effect increases with the increase of the current frequency; the Joule heating and the Lorentz force are highest near the tip of the electrode in the slag, and increase with the increase of the current frequency; the velocities in the slag are slightly higher than those in the molten metal pool; with the increase of the current frequency, the liquidus temperature moves down, and the molten metal pool is deepened. Simulation results agree well with experimental results. Therefore, the generation and extent of defects could be predicted in different process.
1556
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