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Type: Journal article
Title: Impinging laminar jets at moderate Reynolds numbers and separation distances
Author: Bergthorson, J.
Sone, K.
Mattner, T.
Dimotakis, P.
Goodwin, D.
Meiron, D.
Citation: Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 2005; 72(6):066307-1-066307-12
Publisher: American Physical Soc
Issue Date: 2005
ISSN: 1539-3755
Statement of
Jeffrey M. Bergthorson, Kazuo Sone, Trent W. Mattner, Paul E. Dimotakis, David G. Goodwin, and Dan I. Meiron
Abstract: An experimental and numerical study of impinging, incompressible, axisymmetric, laminar jets is described, where the jet axis of symmetry is aligned normal to the wall. Particle streak velocimetry (PSV) is used to measure axial velocities along the centerline of the flow field. The jet-nozzle pressure drop is measured simultaneously and determines the Bernoulli velocity. The flow field is simulated numerically by an axisymmetric Navier-Stokes spectral-element code, an axisymmetric potential-flow model, and an axisymmetric one-dimensional stream-function approximation. The axisymmetric viscous and potential-flow simulations include the nozzle in the solution domain, allowing nozzle-wall proximity effects to be investigated. Scaling the centerline axial velocity by the Bernoulli velocity collapses the experimental velocity profiles onto a single curve that is independent of the nozzle-to-plate separation distance. Axisymmetric direct numerical simulations yield good agreement with experiment and confirm the velocity profile scaling. Potential-flow simulations reproduce the collapse of the data; however, viscous effects result in disagreement with experiment. Axisymmetric one-dimensional stream-function simulations can predict the flow in the stagnation region if the boundary conditions are correctly specified. The scaled axial velocity profiles are well characterized by an error function with one Reynolds-number-dependent parameter. Rescaling the wall-normal distance by the boundary-layer displacement-thickness-corrected diameter yields a collapse of the data onto a single curve that is independent of the Reynolds number. These scalings allow the specification of an analytical expression for the velocity profile of an impinging laminar jet over the Reynolds number range investigated of 200 ≤ Re ≤ 1400.
Keywords: Laminar flow; jets; Navier-Stokes equations; nozzles; stagnation flow
Rights: ©2005 American Physical Society
RMID: 0020063953
DOI: 10.1103/PhysRevE.72.066307
Appears in Collections:Mathematical Sciences publications

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