Modeling and Analysis of Transitional Tube with Constant Sectional Area along Derivative Central Rou

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Firstly,sample square-circular transition tube along straight central route was modeled on CATIA software.The parameters are as follows:let the tube length is L,and the constant cross section area is S,and S=πR2=a2,in which R stands for the circle radius on one end,and a the square side length on the other end;set up the coordinate system with OX axis on the central route in which the origin O is on centroid of the square end and assume the cross section size at x as the square shaped with all four corners filleted in radius r which is proportional to x,that is,the linear slope of r is R/L,thus,both values r and square side length ax can be attained on the constant cross section area assumption.Secondly,some sample polygonal-circular transition tubes along straight,circular and helical central route were implemented similarly.Thirdly,numerical analysis of stress and displacement of these tubes were carried out on MSC/PATRAN software which are important to the distribution of turbulent flow and the layout of these transitional tube structures. Firstly, sample square-circular transition tube along straight central route was modeled on CATIA software. The parameters are as follows: let the tube length is L, and the constant cross section area is S, and S = πR2 = a2, in which R stands for the circle radius on one end, and a the square side length on the other end; set up the coordinate system with OX axis on the central route in which the origin O is on centroid of the square end and assume the cross section size at x as the square shaped with all four corners filleted in radius r which is proportional to x, that is, the linear slope of r is R / L, thus, both values ​​r and square side length ax can be attained on the constant cross section area assumption. Secondary, some sample polygonal-circular transition tubes along straight, circular and helical central route were implemented similarly. Numerically, stress and displacement of these tubes were carried out on MSC / PATRAN software which are important to the distribution of turbulent flow and the layout of these transitional tube structures.
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