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- W2136268510 abstract "A control volume-based solution of the complete set of Navier–Stokes equations for the laminar, three dimensional developing flow in elliptical cross-section ducts is described. Numerical results for velocity and pressure development, pressure defect and entrance lengths are presented for a wide range of aspect ratios from 0·1 to 0·999. The present results match very well with earlier numerical solutions for developing flow in a circular duct and the fully developed flow in elliptical ducts. A comparison with earlier numerical and experimental data for developing flow in elliptical ducts is also satisfactory for pressure development but not so good for the velocity profiles. The relative growth rate of boundary layer thickness along the major axis is slower than that along the minor axis which is contrary to the assumption used in earlier numerical analyses. The present results show no transverse recirculation contrary to the speculation based on earlier experimental data. The ratio of entry length in an elliptical duct to that in a circular duct with radius equal to the semi-major axis of the elliptical duct is nearly equal to the aspect ratio of the duct. In conformity with the previous work, the present results find the total pressure defect to be independent of the aspect ratio, with a value of 1·234." @default.
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- W2136268510 date "1993-12-30" @default.
- W2136268510 modified "2023-09-27" @default.
- W2136268510 title "Entrance flow in elliptical ducts" @default.
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- W2136268510 doi "https://doi.org/10.1002/fld.1650171205" @default.
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