In this paper, the response surface method using a three-dimensional Navier-Stokes analysis to optimize the shape of a forward-curved-blade centrifugal fan is described. For the numerical analysis, Reynolds-averaged Navier-Stokes equations with the standard k-ε turbulence model are discretized with finite volume approximations. The SIMPLEC algorithm is used as a velocity–pressure correction procedure. In order to reduce the huge computing time due to a large number of blades in forward-curved-blade centrifugal fan, the flow inside of the fan is regarded as steady flow by introducing the impeller force models. Four design variables, i.e., location of cutoff, radius of cutoff, expansion angle of scroll, and width of impeller, were selected to optimize the shapes of scroll and blades. Data points for response evaluations were selected by D-optimal design, and a linear programming method was used for the optimization on the response surface. As a main result of the optimization, the efficiency was successfully improved. Effects of the relative size of the inactive zone at the exit of impeller and momentum fluxes of the flow in scroll on efficiency were further discussed. It was found that the optimization process provides a reliable design of this kind of fan with reasonable computing time.

Issue Section:
Technical Papers
Keywords:
Navier-Stokes equations, computational fluid dynamics, external flows, confined flow, response surface methodology, turbulence, finite volume methods, approximation theory, linear programming, flow instability
Topics:
Blades, Design, Flow (Dynamics), Impellers, Optimization, Pressure, Response surface methodology, Shapes, Momentum, Turbulence, Approximation, Navier-Stokes equations, Linear programming, Flux (Metallurgy), Shape optimization
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