Type of Document	Master's Thesis
Author	Bereketab, Semere
Author's Email Address	sbereket@vt.edu
URN	etd-112299-194052
Title	Complex Equilibrium of Laterally Curved Wakes
Degree	Master of Science
Department	Aerospace and Ocean Engineering
Advisory Committee	Advisor Name Title Dr. William J. Devenport Committee Chair Dr. Bernard Grossman Committee Member Dr. Roger L. Simpson Committee Member
Keywords	Far wakes Tori Equilibrium Toroid Plane wakes Curved wakes Self-preservation Similarity Two-point measurements Space-time correlations Linear Stochastic estimation
Date of Defense	1999-10-25
Availability	unrestricted
Abstract Complex Equilibrium of Laterally Curved Wakes Semere Bereketab (Abstract) Turbulent wakes generated from an aircraft or submarine vehicles has been of main interest to researchers due to the broad band noise associated with such wakes. One such case is the noise generated by spiral vortices shed from one blade interacting with another oncoming blade of helicopter rotor. Consequently, researchers have been trying to understand the basic physics and evolution of such wakes. Single and two-point velocity measurements were taken on a plane and laterally curved turbulent wakes to understand the evolution and effect of lateral curvature into the far wake region. The analyses provide useful information in modeling curved or spiral wakes such as turbulence field surrounding tip vortices shed from a wing. In order to achieve our objectives, the Virginia Tech 3' x 2' subsonic wind tunnel was used to take velocity measurements of toroidal ring model and a straight cylinder as a control case. Velocity measurements were done using four sensor hot-wire anemometers, to obtain all mean velocity, Reynolds stress, triple product components of the turbulence field. Single point, spectra and two-point measurements of the wakes were performed throughout the development into the far wake region. The single point results reveal the universality of the mean axial velocity, however the Reynolds stresses and triple products were not universal illustrating that the turbulence field has its own length and velocity scales different from that of the mean flow. The effect of lateral curvature is mainly evidenced in the early development of the curved ring wake. The turbulent energy budget reveals similar trend for both wakes and plane wake achieves approximate equilibrium. The spectra result reveals for the plane wake that self-preservation is achieved for all scales of motion, while the ring wake does not achieve such a state. While the longitudinal correlations of both wakes are similar in form, in general difference in form and orientation prevailed over all indicating the difference in the turbulent structure of both wakes. Linear stochastic estimation reveals the presence of spanwise and double-roller eddy structures in the plane wake and only spanwise eddies were detected for the ring wake.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    Abstract.pdf 4.80 Kb 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01   Acknowledgements.pdf 3.02 Kb < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01   Chap_01_Introduction.pdf 58.98 Kb 00:00:16 00:00:08 00:00:07 00:00:03 < 00:00:01   Chap_02_appparatus.pdf 31.80 Kb 00:00:08 00:00:04 00:00:03 00:00:01 < 00:00:01   Chap_03_Results.pdf 106.80 Kb 00:00:29 00:00:15 00:00:13 00:00:06 < 00:00:01   cover.pdf 2.77 Kb < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01   Fig_01_apparatus.pdf 1.33 Mb 00:06:10 00:03:10 00:02:46 00:01:23 00:00:07   Fig_02_coord.pdf 8.03 Kb 00:00:02 00:00:01 00:00:01 < 00:00:01 < 00:00:01   Fig_03-A_2D.pdf 64.44 Kb 00:00:17 00:00:09 00:00:08 00:00:04 < 00:00:01   Fig_03-B_Umean-Grid.pdf 323.71 Kb 00:01:29 00:00:46 00:00:40 00:00:20 00:00:01   Fig_03-C_wire-effects.pdf 17.24 Kb 00:00:04 00:00:02 00:00:02 00:00:01 < 00:00:01   Fig_03-D_slfpresrv-1st-2nd-order.pdf 3.53 Mb 00:16:21 00:08:24 00:07:21 00:03:40 00:00:18   Fig_03-E_norm-shear-grid.pdf 1.17 Mb 00:05:25 00:02:47 00:02:26 00:01:13 00:00:06   Fig_03-F_slfpresrv_3rd-order.pdf 4.06 Mb 00:18:48 00:09:40 00:08:27 00:04:13 00:00:21   Fig_03-G_triple-grid_PW.pdf 823.92 Kb 00:03:48 00:01:57 00:01:42 00:00:51 00:00:04   Fig_03-H_triple-grid_RW.pdf 2.71 Mb 00:12:33 00:06:27 00:05:38 00:02:49 00:00:14   Fig_03-I_TKE.pdf 247.62 Kb 00:01:08 00:00:35 00:00:30 00:00:15 00:00:01   Fig_03-J_TKE-grid.pdf 1.20 Mb 00:05:33 00:02:51 00:02:29 00:01:14 00:00:06   Fig_03-K_TKE-bal.pdf 892.58 Kb 00:04:07 00:02:07 00:01:51 00:00:55 00:00:04   Fig_03-L_Spectra.pdf 6.49 Mb 00:30:02 00:15:27 00:13:31 00:06:45 00:00:34   Fig_03-M_Rii.pdf 465.72 Kb 00:02:09 00:01:06 00:00:58 00:00:29 00:00:02   Fig_03-N_LSE.pdf 4.24 Mb 00:19:39 00:10:06 00:08:50 00:04:25 00:00:22   Listoftables.pdf 1.83 Kb < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01   Nomenclature.pdf 10.33 Kb 00:00:02 00:00:01 00:00:01 < 00:00:01 < 00:00:01   References.pdf 22.85 Kb 00:00:06 00:00:03 00:00:02 00:00:01 < 00:00:01   tableofcontents.pdf 6.46 Kb 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01   tableofFigures.pdf 32.42 Kb 00:00:09 00:00:04 00:00:04 00:00:02 < 00:00:01   Vita.pdf 2.23 Kb < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01 < 00:00:01

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