Abstract
The present work aims at the optimum design and the optimum operating condition of a S-shaped diffuser by studying the effect of inlet velocity, turning angle and area ratio using Computational Fluid Dynamics. Fluent 17.1 software has been used for this simulation work. It is found that the static pressure recovery coefficient (Cp) increases and the total pressure loss coefficient (Cl) decreases as the inlet velocity increases. It is also found that cross-flow velocity becomes more prominent as turning angle increases and the magnitude of in-plane velocity increases with the increase in area ratio. It is further found that flow separation at the bottom wall increases with the increment in area ratio and decreases with the increase in turning angle. Finally, it is found that AR 4 is the optimum area ratio and 75°/75° is the optimum turning angle.
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Abbreviations
- AR :
-
\( {\text{area ratio, }}\frac{{\text{Outlet Area}}}{{\text{Inlet Area}}} \)
- C l :
-
\( {\text{Total pressure loss coefficient, }}\frac{{\left( {P_{ti} - P_{t} } \right)}}{{\frac{1}{2}\rho u^{2}_{avi} }} \)
- C p :
-
\( {\text{ Static pressure loss coefficient, }}\frac{{\left( {P_{st} - P_{sti} } \right)}}{{\frac{1}{2}\rho u^{2}_{avi} }} \)
- C1ε, C2ε, C3ε :
-
Model constants
- C:
-
Centerline length of the duct
- X:
-
Longitudinal direction
- k:
-
Turbulent kinetic energy
- P:
-
Pressure
- σk, σε :
-
Prandtl number for k and ε
- \(\overline{u}\) :
-
Time averaged velocity
- G:
-
Production term
- V32:
-
Normalized average velocity, \( \frac{{u_{av} }}{{u_{avi} }} \)
- u:
-
Velocity
- x:
-
Distance along centerline
- X-Cf:
-
Skin friction coefficient along X direction
- ε:
-
Turbulent kinetic energy dissipation rate (m2/s3)
- η:
-
Nondimensional parameter
- μ:
-
Molecular absolute viscosity
- μt :
-
Turbulent
- ρ:
-
Fluid density
- avi:
-
Mass average property at the inlet
- i, j:
-
Tensorial notations
- t:
-
Stagnation property
- avo:
-
Mass average property at the outlet
- sti:
-
Static property at the inlet
- st:
-
Static property
- ti:
-
Stagnation property at the inlet
- to:
-
Stagnation property at the outlet
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Das, A.K., Singh, R.K., Roy, M. et al. Optimum design of S-shaped diffuser by studying the effect of inlet velocity, turning angle and area ratio. Int J Interact Des Manuf 17, 2673–2685 (2023). https://doi.org/10.1007/s12008-022-01132-4
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DOI: https://doi.org/10.1007/s12008-022-01132-4