Start‐up Flow In The Entrance Region Of A Circular Tube
An analytical study of the motion of a viscous, incompressible fluid, initially at rest and rapidly set in motion under a constant head, in the entrance region of a circular tube is described. A procedure based on the numerical solution of the momentum‐integral equation is used in this study. The time‐dependent entrance flow rate which must be prescribed in the analysis is obtained from the solution of the over‐all dynamic problem considering the instantaneous axial pressure gradient experimentally determined in a physically realizable start‐up flow process. The time‐variation in the boundary layer thickness and velocity profile at various axial locations along the tube and instantaneous entrance lengths are calculated.
X. J. Avula and D. F. Young, "Start‐up Flow In The Entrance Region Of A Circular Tube," ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 51, no. 7, pp. 517 - 526, Wiley, Jan 1971.
The definitive version is available at https://doi.org/10.1002/zamm.19710510703
Mechanical and Aerospace Engineering
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01 Jan 1971