caa a22 4500 475839935 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20000801xx s 000 0 eng 10.1023/A:1004789026451 doi (NATIONALLICENCE)springer-10.1023/A:1004789026451 Sanjeev Rao K. Computational and Theoretical Fluid Dynamics Division, National Aerospace Laboratories, 560 017, Bangalore, India aut An Oseen-type model for swirling internal separated flows [Elektronische Daten] [K. Sanjeev Rao] The viscous, laminar, separated flow downstream of a sudden expansion in a pipe is studied. The flow is modeled by an Oseen-type equation, but with the additional feature that the nonlinearity in the swirl is retained. Exact solutions are obtained for a high-Reynolds-number limit and for arbitrary Reynolds number by use of an eigenfunction-expansion procedure, in the presence of swirl. This leads to a non-standard eigenvalue problem. When the swirl is sufficiently large, a central recirculating region is observed. The effect of the pressure gradients on the velocity profiles and the central recirculating eddy is discussed. The low-Reynolds-number solutions go over smoothly to the large Reynolds number solution as the Reynolds number increases. Good agreement is obtained with the numerically computed value of the reattachment length. Kluwer Academic Publishers, 2000 Oseen model nationallicence swirl nationallicence internal separated flows nationallicence pipe flow nationallicence eigenvalues nationallicence Journal of Engineering Mathematics Kluwer Academic Publishers 38/2(2000-08-01), 119-140 0022-0833 38:2<119 2000 38 10665 https://doi.org/10.1023/A:1004789026451 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004789026451 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sanjeev Rao K. Computational and Theoretical Fluid Dynamics Division, National Aerospace Laboratories, 560 017, Bangalore, India aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/2(2000-08-01), 119-140 0022-0833 38:2<119 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer