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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 73, 2018 - Issue 6
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Original Articles

Study of wave number effect in wavy plate for improving the film cooling effectiveness at spanwise direction

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Pages 408-427 | Received 09 Oct 2017, Accepted 16 Feb 2018, Published online: 14 Mar 2018
 

ABSTRACT

In this article, film cooling effectiveness was performed numerically using an inclined hole that injected a cooled air cross wavy plate in streamwise direction. The numerical investigation was performed using ANSYS-CFX software with adoption of shear stress transport kω model as turbulence closure. The coolant was supplied by a single film cooling hole with an inclination angle of 35°. The number of waves in cross spanwise direction was varied from 2 to 10 using number steps equal to 2. The numerical results were validated using experimental data. Two different configurations of the cooling holes are considered; one when the hole is situated on the crest of the wave, the other one when the hole is on the trough wave. Simulations are performed only for low blowing ratio of 0.5. It is found that for both configurations of cooling, holes increase when wave’s number increases gradually the effectiveness of film cooling. The crest position of cooling hole is more performed than trough position. Moreover, the representative velocity vectors and temperature contours are presented to interpret flow and thermal transport visualization.

Nomenclature

D=

diameter, mm

M=

blowing ratio

TE=

trailing edge

LE=

leading edge

y+=

normalized distance =

T=

temperature, K

U=

mean velocity, m/s

=

thermal conductivity, W/m K

x, y, z=

Cartesian coordinates

P=

pressure, N/m2

η=

adiabatic effectiveness

α=

thermal diffusivity = , m2/s

ρ=

density, kg/m3

Θ=

mean temperature, K

μ=

dynamic viscosity, N-s/m2

θ=

fluctuating temperature, K

Subscripts
aw=

adiabatic wall

c=

coolant

=

mainstream (freestream)

Nomenclature

D=

diameter, mm

M=

blowing ratio

TE=

trailing edge

LE=

leading edge

y+=

normalized distance =

T=

temperature, K

U=

mean velocity, m/s

=

thermal conductivity, W/m K

x, y, z=

Cartesian coordinates

P=

pressure, N/m2

η=

adiabatic effectiveness

α=

thermal diffusivity = , m2/s

ρ=

density, kg/m3

Θ=

mean temperature, K

μ=

dynamic viscosity, N-s/m2

θ=

fluctuating temperature, K

Subscripts
aw=

adiabatic wall

c=

coolant

=

mainstream (freestream)

Additional information

Funding

This work was supported by the laboratory of the applied mechanics of the University of Sciences and Technologies of Oran-Algeria with the assistant of professor Abbès Azzi.

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