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Stable solution zone for fluid flow through curved pipe with circular cross-section

机译:流体通过圆形横截面的弯曲管的稳定溶液区

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Numerical study is performed to examine numerically the stable solution for the incompressible viscous steady flow through a curved pipe with circular cross-section. Also the combined effects of high Dean Number Dn and curvature δ on the flow are investigated. Spectral method is applied as a main tool for the numerical technique; where, Fourier series, Chebyshev polynomials, Collocation methods, and Iteration method are used as secondary tools. The flow patterns have been shown graphically for large Dean Numbers and a wide range of curvature, 0.01≤δ≤0.9.Two vortex solutions have been found for secondary flow. Axial velocity has been found to increase with the increase of Dean number and decrease with the increase of curvature. For high Dean number and low curvature almost all the fluid particles leave the inner half of the cross-section. The stable solution zone increases with the increase of curvature up to a certain limit, then decrease.DOI: 10.3329/jname.v7i1.3630
机译:进行了数值研究,以数字方式检查通过圆形横截面的弯曲管的不可压缩粘性稳定流的稳定解。还研究了高Dean数Dn和曲率δ对流动的综合影响。频谱法是数值技术的主要工具。其中,傅里叶级数,切比雪夫多项式,并置方法和迭代方法用作辅助工具。图示了大Dean数和大曲率范围0.01≤δ≤0.9的流动模式。发现了二次流动的两个涡旋解。已经发现轴速度随着迪安数的增加而增加,而随着曲率的增加而减少。对于高Dean数和低曲率,几乎所有流体粒子都离开横截面的一半。稳定溶液区域随曲率的增加而增加,直至达到一定极限,然后减小。DOI:10.3329 / jname.v7i1.3630

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