An inviscid tornadolike vortex is analytically modeled using a free narrow jet solution combined with a modified Rankine vortex. An empirical and simplified solution to existing models is defined for flows similar to the ones simulated in Ward-type vortex chambers. Velocity profiles are calculated for a particular swirl ratio . The model shows reasonable agreement with existing experimental measurements by Baker (1981, “Boundary Layers in Laminar Vortex Flows,” Ph.D. thesis, Purdue University, West Lafayette, IN) and the numerical simulation by Wilson and Rotunno (1986, “Numerical Simulation of a Laminar End-Wall Vortex and Boundary Layer,” Phys. Fluids, 29(12), pp. 3993–4005).
Issue Section:
Research Papers
1.
Lewellen
, W. S.
, 1993, “Tornado Vortex Theory
,” The Tornado: Its Structure, Dynamics, Prediction, and Hazards
, C.
Church
, D.
Burgess
, C.
Doswell
, and R.
Davies-Jones
, eds., American Geophysical Union
, Washington, DC
, pp. 19
–39
.2.
Ward
, B. N.
, 1972, “The Exploration of Certain Features of Tornado Dynamics Using a Laboratory Model
,” J. Atmos. Sci.
0022-4928, 29
, pp. 1194
–1204
.3.
Kuo
, H. L.
, 1971, “Axisymmetric Flows in the Boundary Layer of a Maintained Vortex
,” J. Atmos. Sci.
0022-4928, 28
(1
), pp. 20
–41
.4.
Ying
, S. J.
, and Chang
, C. C.
, 1970, “Exploratory Model Study of Tornado-Like Vortex Dynamics
,” J. Atmos. Sci.
, 27
(1
), pp. 3
–14
. 0022-49285.
Wen
, Y. K.
, 1975, “Dynamic Wind Loads on Tall Buildings
,” J. Struct. Div.
, 101
( ST1), pp. 169
–185
. 0044-80016.
Burgers
, J. M.
, 1948, “A Mathematical Model Illustrating the Theory of Turbulence
,” Adv. Appl. Mech.
0065-2156, 1
, pp. 197
–199
.7.
Rott
, N.
, 1958, “On the Viscous Core of a Line Vortex
,” Z. Angew. Math. Mech.
, 9
, pp. 543
–553
. 0044-22678.
Shtern
, V.
, Borissov
, A.
, and Hussain
, F.
, 1997, “Vortex Sinks With Axial Flow: Solution and Applications
,” Phys. Fluids
1070-6631, 9
(10
), pp. 2941
–2959
.9.
Lewellen
, D. S.
, and Lewellen
, W. S.
, 2007, “Near-Surface Intensification of Tornado Vortices
,” J. Atmos. Sci.
, 64
, pp. 2176
–2194
. 0022-492810.
Lewellen
, D. S.
, and Lewellen
, W. S.
, 2007, “Near-Surface Vortex Intensification Through Corner Flow Collapse
,” J. Atmos. Sci.
, 64
, pp. 2195
–2209
. 0022-492811.
Wilson
, T.
, and Rotunno
, R.
, 1986, “Numerical Simulation of a Laminar End-Wall Vortex and Boundary Layer
,” Phys. Fluids
, 29
(12
), pp. 3993
–4005
. 1070-663112.
Lewellen
, W. S.
, Lewellen
, D. C.
, and Sykes
, R. I.
, 1997, “Large-Eddy Simulation of a Tornado’s Interaction With the Surface
,” J. Atmos. Sci.
, 54
, pp. 581
–605
. 0022-492813.
Lewellen
, D. C.
, Lewellen
, W. S.
, and Xia
, J.
, 2000, “The Influence of a Local Swirl Ratio on Tornado Intensification Near the Surface
,” J. Atmos. Sci.
, 57
, pp. 527
–544
. 0022-492814.
Davies-Jones
, R. P.
, 1973, “The Dependence of Core Radius on Swirl Ratio in a Tornado Simulator
,” J. Atmos. Sci.
0022-4928, 30
, pp. 1427
–1430
.15.
Church
, C. R.
, Snow
, J. T.
, and Agee
, E. M.
, 1977, “Tornado Vortex Simulation at Purdue University
,” Bull. Am. Meteorol. Soc.
, 58
, pp. 900
–908
. 0003-000716.
Baker
, G. L.
, 1981, “Boundary Layers in Laminar Vortex Flows
,” Ph.D. thesis, Purdue University, West Lafayette, IN.17.
Schlichting
, H.
, 1933, “Laminare Strahlenausbreitung
,” Z. Angew. Math. Mech.
0044-2267, 13
, pp. 260
–263
.Copyright © 2009
by American Society of Mechanical Engineers
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