Abstract
Theoretical and numerical study was carried out based on a linear turbine cascade (the Basic cascade) to compare the influences of the increased cascade pitch and turning angle in this paper. On one hand, the two highly-loaded designs both reduced the stability of flow field through enhancing adverse pressure gradient and span-wise pressure gradient of the fluid near suction surface. Therefore, the two highly-loaded designs would both result in thicker boundary layer and stronger secondary flow, so the secondary loss would be increased and more difficult to suppress in the highly-loaded cascades. On the other hand, the two highly-loaded designs showed different influences on the pitch-wise migration of the fluid near the endwall (cross flow) because of the different load enhancing mechanisms. In other words, the increased cascade pitch (TCx highly-loaded design) would delay the pitch-wise migration of the horseshoe vortex because of the increased channel width, while the increased turning angle (Turn highly-loaded design) would do the opposite because of the increased pitch-wise pressure gradient. As a result, the enhancement of the interaction between the fluid near the suction surface and the cross flow would be much stronger in the Turn highly-loaded design than the TCx highly-loaded design, and the span-wise developing tendencies of vortexes and fluid near the suction surface would show much stronger enhancing tendency in the former than the latter.
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Abbreviations
- C :
-
Chord
- C o :
-
Circulation load coefficient
- C ps :
-
Static pressure coefficient
- C pt :
-
Mass average total pressure loss coefficient
- C q :
-
Normalized Q coefficient
- H :
-
Blade height
- k :
-
Adiabatic exponent
- Ma :
-
Mach number
- ṁ :
-
Mass flow
- P :
-
Pressure
- Q :
-
Q criterion
- Re :
-
Reynolds number
- S :
-
Arc length
- S F :
-
Strain rate
- SP:
-
Static pressure
- T :
-
Pitch
- v :
-
Velocity
- W F :
-
Vorticity
- x :
-
Axial-wise
- Y :
-
Equivalent constant of channel width
- y :
-
Pitch-wise
- y + :
-
Dimensionless distance from wall
- z :
-
Span-wise
- Z w :
-
Zweifel load coefficient
- α :
-
Practical flow angle
- β :
-
Designed flow angle
- Δ :
-
Absolute deviation
- δ :
-
Relative deviation
- μ :
-
Dynamic viscosity
- ν :
-
Kinematic viscosity
- ξ :
-
Mass average energy loss coefficient
- ρ :
-
Density
- 1:
-
Inlet plane
- 2:
-
Outlet plane
- 2D:
-
Two-dimensional
- 3D:
-
Three-dimensional
- s:
-
Static value
- t:
-
Total value
- —:
-
Equivalent constant
- ^:
-
Area average value
- CV:
-
Corner vortex
- DVS:
-
Distance between vortex and suction surface
- HV:
-
Horseshoe vortex
- IAVS:
-
Included angle between vortex axis and suction normal
- PL-HV:
-
Pressure leg of horseshoe vortex
- PS:
-
Pressure surface
- PV:
-
Passage vortex
- RANS:
-
Reynolds Average Navier-Stokes
- SS:
-
Suction surface
- SV:
-
Shedding vortex
- WV:
-
Wall vortex
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Zhou, X., Xue, X., Du, X. et al. Aerodynamic Comparison between Increasing Cascade Pitch and Turning Angle in the Highly-Loaded Design. J. Therm. Sci. 31, 1709–1722 (2022). https://doi.org/10.1007/s11630-022-1658-x
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DOI: https://doi.org/10.1007/s11630-022-1658-x