i.z. naqavi 1, e. savory 1 & r.j. martinuzzi 2 1 advanced fluid mechanics research group...
TRANSCRIPT
I.Z. Naqavi1, E. Savory1 & R.J. Martinuzzi2
1Advanced Fluid Mechanics Research GroupDepartment of Mechanical and Materials Engineering
The University of Western Ontario
2Mechanical and Manufacturing EngineeringUniversity of Calgary
Flow Characterization of Inclined Jet in Cross Flow for Thin Film Cooling via Large Eddy
Simulation
Overview:
Jets in Cross Flow
Thin Film Cooling
Background
Current Work
Large Eddy Simulation
Results
Conclusions
Jets in Cross Flow:
A flow configuration representing a variety of industrial and environmental flows.
A jet is introduced from the wall at a certain angle to the main stream.
Used in VTOL, thin film cooling, pollutant dispersion etc.
Thin film cooling (Durbin, 2000)
Cold fluid
Holes for film cooling on turbine blade.
Thin Film Cooling:
Separation of a hot fluid from a wall by a cold fluid, in form of a thin layer ejecting from wall, is called thin film cooling.
Hot fluid
Cooling film
Background:
Four major structures have been identified i.e. horse shoe vortex, jet shear-layer vortex, counter rotating vortex pair and wake vortices.
Horseshoe vortices
Jet shear-layer vortices
Counter rotating vortex pair
Wake vortices
Wall
Current Work:
In this work LES is performed for inclined jet in cross flow.
Effort is being made to introduce a cross flow with true turbulence.
Previous LES simulations lack effective turbulence specification at the inlet. In this work a real turbulent field is specified at the inlet.
This will enhance the understanding of the effect of background turbulence on the jet in cross flow.
Large Eddy Simulation:
massx
U
i
i 0
momentumxx
U
x
p
x
UU
t
U
j
ij
j
i
Dij
jii Re
12
2
pressureFilteredp
velocityFilteredU i
)(
Re Re
sgstensorstressscaleSubgrid
numberynolds
ij
D
In LES spatially filtered unsteady Navier Stokes equation are solved numerically.
A fractional step scheme (Moin, 1982) is used to solve Navier Stokes equations.
A semi implicit time advancement scheme is used where convection terms are discretized explicitly with 3rd order Runge-Kutta scheme and diffusion terms are discretized implicitly with Crank-Nicolson scheme.
Resulting set of linear system is approximately factorized and solved using Tri-diagonal matrix algorithm.
To solve pressure poisson equation fourier decomposition is applied in span-wise direction and resulting system of equation is solved using cyclic reduction method.
Large Eddy Simulation (cont.):
Large Eddy Simulation (cont.):
ReD =3500
Domain size ]3,3[]5.7,0[]12,5[ DDDDD
Grid size
At inlet a true turbulent velocity field is specified for that purpose a separate channel flow code is run and velocities are saved at a plane for some 150 flow through time.
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Results
Average Vorticity Field:
Average stream-wise vorticity at different y-z planes
Streamlines overlaid on average stream-wise vorticity on a y-z plane at x=5D showing counter rotating vortex pair.
Average wall normal vorticity at the bottom x-z plane
Average span-wise vorticity at the central x-y plane
Instantaneous Vorticity Field:
Instantneous stream-wise vorticity at different y-z planes
Instantaneous wall normal vorticity at the bottom x-z plane
Instantaneous span-wise vorticity at the central x-y plane
Coherent Structure:
ijij
iiii SSp
2,
TensorStrainVelocityS
Vorticity
Poissonessurep
ij
i
ii
Pr ,
Coherent structures can be represented by iso-surfaces of pressure poisson.
Coherent structures for inclined jet in cross flow (Laminar)
Coherent structures for inclined jet in cross flow (Turbulent)
Hairpin structures
Stream-wise structure
Conclusions:
Instantaneous flow picture is presenting a very strong interaction of cross flow with jet.
Vortical structures coming from upstream interact with the jet.
Such interactions can have strong influence on heat transfer.
http://www.eng.uwo.ca/research/afm/default.htm
Thank you