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Flow structure and skin friction in the vicinity of a streamwise-angled injection hole fed by a short pipe

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Abstract

The velocity field and skin friction distribution around a row of five jets issuing into a crossflow from short (L/D ≃ 1) pipes inclined by 35° with respect to the streamwise direction, (i.e., “short holes”) are presented for two different jet supply flow directions. Velocity was measured using PIV, while the skin friction was measured with oil-film interferometry. The flow features are compared with previously published data for jets issuing through holes oriented normal to the crossflow and with numerical simulations of similar geometries. The distinguishing features of the flow field include a reduced recirculation region in comparison to the 90° case and markedly different in-hole flow physics. The jetting process caused by in-hole separations force the bulk of the jet fluid to issue from the leading half of the streamwise-angled injection hole, as previously reported by Brundage et al. (Tech Rep ASME 99-GT-35, 1999) and predicted by Walters and Leylek (ASME J Turbomach 122:101–112, 2000). The flow structure impacts the skin friction distribution around the holes, resulting in higher near-hole shear stress for a counter-flow supply plenum (jet fluid supplied by a high speed plenum flowing opposite to the free stream direction). In contrast, the counter-flow supply plenum was previously found to have the lowest near-hole wall shear stress for normal injection holes (Peterson and Plesniak in Exp Fluids 37:497–503, 2004b). Streamwise-angled injection generally reduces the near-hole skin friction due to the reduced jet trajectory resulting from the lower wall-normal jet momentum. Far downstream, the skin friction distributions are similar for the two injection angle cases.

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Abbreviations

C f :

skin friction coefficient

C f,approach :

skin friction coefficient of the approach boundary layer

C f,x :

skin friction coefficient associated with streamwise wall shear stress component

D :

hole diameter

E/D :

distance from hole centerline to supply plenum endwall

H/D :

supply plenum height

L/D :

hole length-to-diameter ratio

M :

blowing ratio = ρ j U j/ρ ∞ U ∞

P/D :

hole spacing-to-diameter ratio

Re θ :

momentum thickness Reynolds number

U,V,W :

velocity components

U j :

mean jet velocity

U ∞ :

free stream velocity

x,y,z :

spatial coordinates; origin at hole center

α :

injection angle

λ :

wavelength

θ 0 :

initial boundary layer momentum thickness

DSSN:

downstream spiral separation node

SFD:

skin friction deficit

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  1. Polytechnic University, 6 Metrotech Center, Brooklyn, NY, 11201, USA

    Sean D. Peterson & Michael W. Plesniak

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  1. Sean D. Peterson
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  2. Michael W. Plesniak
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Correspondence to Michael W. Plesniak.

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Peterson, S.D., Plesniak, M.W. Flow structure and skin friction in the vicinity of a streamwise-angled injection hole fed by a short pipe. Exp Fluids 43, 627–638 (2007). https://doi.org/10.1007/s00348-007-0350-y

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  • DOI: https://doi.org/10.1007/s00348-007-0350-y

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