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Experimental time-resolved study of the interaction between a pulsating injectant and a steady cross-flow: aerodynamics of film cooling

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Abstract

A test rig incorporating the injection from a single cylindrical hole with an inclination of 30° to a thermally uniform mainstream flow was used for determining variations in flow structures due to injectant pulsation. The average blowing ratios (\( \overline{M} \)) were 0.65, 1, and 1.25. The periodic variations in injectant flow were rendered by a loudspeaker-based pulsation system to nondimensionalized excitation frequency (\( St \)) of 0, 0.2, 0.3, and 0.5. Pulsation resulting in a close-wall orientation of injectant fluid compared with steady blowing bearing outward orientation was only observed in few cases. At \( \overline{M} \) = 0.65, jet fluid remains aligned and covers a significant part of the wall under steady blowing. At higher blowing ratios, pulsation induces large spatial variations in the jet trajectory, collapsing of the jet body, and the shedding of wake structures due to the periodic variation of injection flow rate. It was found that the pulsation improves wall coverage of the injectant fluid under low frequency excitation as the separation of the jet from the wall becomes evident (\( \overline{M} \) = 1 and 1.25).

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Abbreviations

\( \overline{M} \) :

Blowing ratio (=\( {{\rho_{i} u_{i} } \mathord{\left/ {\vphantom {{\rho_{i} u_{i} } {\rho_{\infty } u_{\infty } }}} \right. \kern-\nulldelimiterspace} {\rho_{\infty } u_{\infty } }} \))

\( \rho \) :

Fluid density (kg/m3)

\( D \) :

Hole diameter (mm)

\( St \) :

Strouhal number (=\( {{f \cdot D} \mathord{\left/ {\vphantom {{f \cdot D} {\overline{{U_{i} }} }}} \right. \kern-\nulldelimiterspace} {\overline{{U_{i} }} }} \))

\( U \) :

Streamwise velocity (m/s)

\( V \) :

Normal velocity (m/s)

\( u \) :

Streamwise velocity fluctuation (m/s)

\( v \) :

Normal velocity fluctuation (m/s)

\( u_{\tau } \) :

Friction velocity (m/s)

\( U^{ + } \) :

U normalized by friction velocity (=\( {U \mathord{\left/ {\vphantom {U u}} \right. \kern-\nulldelimiterspace} u}_{\tau }^{{}} \))

\( IT_{{}} \) :

Turbulent intensity (%)

\( \delta \) :

Boundary layer thickness (mm)

\( \delta^{*} \) :

Displacement thickness (mm)

\( \sqrt {\overline{{u^{2} }} } \) :

X-component of RMS velocity (m/s)

\( \sqrt {\overline{{v^{2} }} } \) :

Y-component of RMS velocity (m/s)

\( \overline{uv} \) :

Reynolds shear stress (m/s)²

\( t \) :

Time (s)

\( T \) :

Period of pulsation (s)

\( f \) :

Frequency (Cycles/s)

\( \theta \) :

Phase (radian).

\( \phi \) :

Phase shift (radian)

\( \omega \) :

Angular frequency (radians/s)

\( x,y \) :

Streamwise and normal coordinates (mm)

\( y^{ + } \) :

Normal coordinate in wall units (=\( {{y \cdot u_{\tau } } \mathord{\left/ {\vphantom {{y \cdot u_{\tau } } \nu }} \right. \kern-\nulldelimiterspace} \nu } \))

i :

Injectant

∞:

Free-stream

rms :

Root mean square

— :

Time-averaged

~:

Periodic component

a:

Amplitude

h:

Nominal hole

j :

Index number

acq :

Acquisition

s :

Excitation

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Authors and Affiliations

  1. Département Fluides, Thermique et Combustion, Axe COST, Institute Pprime, ENSMA‐University of Poitiers‐CNRS UPR 3346, 1, Avenue Clément ADER, BP 40109, 86961, Futuroscope Chasseneuil Cedex, France

    Q. Sultan, G. Lalizel, M. Fénot & E. Dorignac

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  1. Q. Sultan
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  2. G. Lalizel
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  3. M. Fénot
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  4. E. Dorignac
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Correspondence to Q. Sultan.

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Sultan, Q., Lalizel, G., Fénot, M. et al. Experimental time-resolved study of the interaction between a pulsating injectant and a steady cross-flow: aerodynamics of film cooling. Exp Fluids 51, 1245–1259 (2011). https://doi.org/10.1007/s00348-011-1144-9

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  • DOI: https://doi.org/10.1007/s00348-011-1144-9

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