Finite difference analysis of viscous laminar converging flow in conical tubes

✍ Scribed by Sutterby, J. L.

• Publisher: Springer
• Year: 1965
• Tongue: English
• Weight: 412 KB
• Volume: 15
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00411560

✦ Synopsis

The problem of laminar Newtonian converging flow in a conical tube is investigated. The inlet velocity profile is assumed to be parabolic. The equation of motion is simplified by assuming that the cone angle is small and that the streamlines are only slightly curved. A finite difference solution is derived for the variation in velocity and pressure downstream from the inlet. The finite difference solution reduces properly to known analytical solutions in the limiting cases of low Reynolds number and high Reynolds number. The technique demonstrated here should be applicable to flow development from an arbitrary inlet velocity profile.