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Experimental and numerical investigations of internal heat transfer in an innovative trailing edge blade cooling system: stationary and rotation effects, part 2: numerical results

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Abstract

This paper presents a numerical validation of the aero-thermal study of a 30:1 scaled model reproducing an innovative trailing edge with one row of enlarged pedestals under stationary and rotating conditions. A CFD analysis was performed by means of commercial ANSYS-Fluent modeling the isothermal air flow and using k-ω SST turbulence model and an isothermal air flow for both static and rotating conditions (Ro up to 0.23). The used numerical model is validated first by comparing the numerical velocity profiles distribution results to those obtained experimentally by means of PIV technique for Re = 20,000 and Ro = 0–0.23. The second validation is based on the comparison of the numerical results of the 2D HTC maps over the heated plate to those of TLC experimental data, for a smooth surface for a Reynolds number = 20,000 and 40,000 and Ro = 0–0.23. Two-tip conditions were considered: open tip and closed tip conditions. Results of the average Nusselt number inside the pedestal ducts region are presented too. The obtained results help to predict the flow field visualization and the evaluation of the aero-thermal performance of the studied blade cooling system during the design step.

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Abbreviations

C xyz :

Mean velocity modulus (m/s)

C ij :

Mean velocity modulus in plane ij (m/s), with i = x, y, z and j = x, y, z

D h :

Hydraulic diameter (mm)

D:

Distance from pedestal’s leading edge to inlet section (mm)

H 1 :

Initial duct height (mm)

Ub :

Bulk velocity defined at the inlet section (ms−1)

u :

x velocity component (ms−1)

u′, v′, w′:

Fluctuations of the x, y and z velocities components (ms−1)

V :

y velocity component (ms−1)

W :

Axial velocity component (ms−1)

N:

The total number of cells

Nu :

Averaged Nusselt number (–)

Px :

Pitch inter-pedestals distance (mm)

\(\dot{Q}\) :

Heat flux rate (W/m2)

Re :

Reynolds number (–)

Ro:

Local rotation number (–)

x :

Radial direction (–)

Xr :

Non dimensional distance (–)

x/Px :

Dimensionless position (–)

y :

Axial direction (–)

y+ :

Dimensionless wall distance (–)

z :

Rotation axis direction (–)

α:

Wedge angle of the inclined wall (°)

ω:

Eddy frequency (s−1)

Ω:

Angular velocity (rad s−1)

γ:

Model inclination angle (°)

AR:

Aspect ratio

HTC:

Heat transfer coefficient (W/m2K)

LE:

Leading edge

L0 :

Trailing edge central region

L1:

Trailing edge pedestals region

PIV:

Particles infrared velocimetry

PMMA:

Poly methyl methacrylate

PS:

Pressure side

TLC:

Thermochromic liquid crystal

SS:

Suction side

A, B, C:

Planes names

avg:

Average

co:

Coolant

f :

Film

for :

Forced convection

hub:

The hub region

in :

Inlet

loss:

Conduction losses

max :

Maximum

meanX:

Correspond to the mean x line

meanY:

Correspond to the mean y line

meanZ:

Correspond to the mean z line

nat :

Natural

sta:

Stationary

tip:

The tip region

ro :

Referred to ambient conditions

w :

Wall

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Acknowledgments

The authors would like to acknowledge Dr. L. Bonanni, Dr. F. Maiolo and Dr. A. Pichi for the experimental support, Dr. A. Andreini and Dr. L. Andrei for the support given to the numerical simulation. Our acknowledgments go Dr. Armellini and the staff if the university of Udine, Italy, for their collaboration and help. The reported work was performed within the Italian research project PRIN, the funding of the Italian ministry for education, university and research (MIUR) is gratefully acknowledged.

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Authors and Affiliations

  1. Laboratory of Thermal Power Systems, Ecole Militaire Polytechnique, EMP, BP 17, 16046, Bordj El Bahri, Algiers, Algeria

    Ahmed Beniaiche

  2. Faculty of Mechanical and Process Engineering, University of Sciences and Technology Houari Boumediene, BP 32, 16111, Bab-Ezouar, Algiers, Algeria

    Adel Ghenaiet

  3. Department of Industrial Engineering (DIEF), University of Florence, Florence, Italy

    Carlo Carcasci & Bruno Facchini

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  1. Ahmed Beniaiche
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  2. Adel Ghenaiet
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  3. Carlo Carcasci
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  4. Bruno Facchini
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Correspondence to Ahmed Beniaiche.

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Beniaiche, A., Ghenaiet, A., Carcasci, C. et al. Experimental and numerical investigations of internal heat transfer in an innovative trailing edge blade cooling system: stationary and rotation effects, part 2: numerical results. Heat Mass Transfer 53, 491–505 (2017). https://doi.org/10.1007/s00231-016-1834-1

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