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Heat transfer study in rotating cascade using IR thermography and CFD analyses

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Abstract

This paper presents an experimental and CFD numerical study of convective heat transfer in a rotating cascade. Infrared thermography was used to measure surface temperature distribution on a rotating hollow blade, heated internally by secondary air. A CFD numerical model was made according to the actual test rig geometry and operating conditions. Tests were carried out in an iposonic flow regime at relatively low fluid temperatures, with the rotational and Reynolds numbers varied and hot-to-cool air mass flow ratio kept constant. Experimental and numerical results for the blade pressure side are compared in terms of surface temperature 2D distribution and Nusselt number one-dimensional distribution along the blade midspan, providing a reasonable agreement.

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Abbreviations

C :

Constant

c p :

Specific heat capacity, J kg−1 K−1

D :

Diameter, m

h :

Enthalpy, J kg−1

I :

Rothalpy, J kg−1

k :

Turbulent kinetic energy, m2 s−2

L :

Characteristic length, chord length, m

Ma :

Mach number, Ma = w ∞ /c

\( \ifmmode\expandafter\dot\else\expandafter\.\fi{m} \) :

Mass flow rate, kg s−1

n :

Rotational speed, min−1

Nu :

Nusselt number, Nu = α L/λ

p :

Pressure, kg m−1 s−2

P* :

Modified pressure, P* = p+2ρk/3, kg m−1 s−2

P k :

Turbulence production term

\( \ifmmode\expandafter\dot\else\expandafter\.\fi{q} \) :

Heat flux, W m−2

Pr :

Prandtl number, Pr = μc p /λ

Pr t :

Turbulent Prandtl number, Pr t  = ν t /ε H

r :

Radius, m

Re :

Reynolds number, Re = w L/v

Ro :

Rotational number, Ro = ω L/w

S :

Source term

t :

Time, s

T :

Temperature, °C

U :

Mean velocity, m s−1

u* :

Velocity scale, \( u^* = C^{{1/4}}_{\mu } k^{{1/2}} \)

w :

Axial speed of gases, m s−1

W :

Relative velocity, m s−1

x :

Coordinate, m

y 2-1 :

Distance between the first and second grid points off the wall

y* :

Nondimensional distance from the wall, y* = u*y 2−1/(4ν)

α :

Heat transfer coefficient, W m−2 K−1

ε :

Dissipation rate of turbulent kinetic energy, m2 s−3

ε H :

Eddy thermal diffusivity, m2 s−1

χ :

Air mass flow ratio

λ :

Thermal conductivity, W m−1 K−1

μ :

Dynamic viscosity, kg m−1 s−1

μ t :

Eddy viscosity, kg m−1 s−1

ν :

Kinematic viscosity, m2 s−1

ν t :

Eddy kinematic viscosity, m2 s−1

ρ :

Density, kg m−3

σ :

Constant

ω :

Angular speed of the rotor, s−1

ω :

Turbulent eddy frequency, s−1

f :

Fluid

m :

Main

s :

Secondary, surface

tot :

Total

o :

Orifice

w :

Wall

∞ :

Conditions in free stream

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Authors and Affiliations

  1. Laboratory for Heat and Power, Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, 1000, Ljubljana, Slovenia

    Lovrenc Novak, Mitja Mori & Mihael Sekavčnik

Authors
  1. Lovrenc Novak
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  2. Mitja Mori
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  3. Mihael Sekavčnik
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Correspondence to Mihael Sekavčnik.

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Novak, L., Mori, M. & Sekavčnik, M. Heat transfer study in rotating cascade using IR thermography and CFD analyses. Heat Mass Transfer 44, 559–567 (2008). https://doi.org/10.1007/s00231-007-0269-0

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