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In this research, the aerodynamic design of a centrifugal compressor is carried out using an inverse design method. At the first step of the aerodynamic design, the shape modification capability of compressor meridional plane is generated by linking up the Ball-Spine inverse design algorithm as a shape modification algorithm and quasi 3D analysis code as a flow solver. Then, the meridional plane is modified by improving the hub and shroud pressure distribution and applying it to the inverse design code. At the second part of this research, by developing a novel design method on the blade to blade plane, and incorporating it into the quasi 3D flow solver, the 3D profiles of impellers will be obtained in order to reach the higher blade loading. Finally, to check the outcome of design process, the current and the modified impellers are analyzed using the full 3D flow solver, CFX. The results are the representatives of about 5 percent enhancement in compressor total pressure ratio.

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Inverse design is one of the design methods of aerodynamic ducts such as S-duct intakes. In these problems, the geometry of the duct is unknown but the pressure distributions along the walls are given. In this paper, a new inverse design method called “flexible string method” is introduced. In this method, the duct walls are modified from initial guess to final shape based on the flexible string movement algorithm according to pressure distribution. In 3D design, the duct design process starts with a 2D one. At first step, a 2D Jet-Engine S-shaped air intake considering flight mach number is designed using the inverse design method based on an Euler flow solver (with no considering the jet nose engine effects). At the second step with considering duct sections like circle, ellipse and bean the 2D duct is modified to obtain the 3D duct. Finally, it is validated by analyzing the duct flow in 3D turbulent regime. The numerical studies show in spite of severe height change with respect to duct length, there is no separation in the duct and the uniformity of flow at the duct exit is completely satisfactory.

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In this research an inverse design algorithm, called ball-spine algorithm (BSA) is developed on a 90-degree bend duct between the radial and axial diffuser of a centrifugal compressor with viscous swirling inflow to bend duct. The shape modification process integrates inverse design algorithm and a quasi-3D analysis code. For this purpose, Ansys CFX software, is used as flow solver and inverse design algorithm is written as a code inside it. Shape modification is accomplished for viscous and inviscid flow to check the effect of viscosity on convergence rate. Also, the effect of swirl velocity in shape modification process is investigated, by considering increased pressure as the target parameter. The algorithm reliability for swirling flow is verified by choosing different initial geometries. Finally, aerodynamic design of the bend duct with BSA is accomplished to reduce losses in 90-degree bend. Shape modification process is carried out by improving the current wall pressure distribution and applying it to the inverse design algorithm. Results show that convergence rate and stability of BSA are favorable for designing ducts with swirling viscous flow. So that, the pressure recovery coefficient of the 90-degree bend duct is 4%increased.

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In this paper, inverse design to determine unknown heat source distribution in a radiant enclosure using an optimization method is investigated to produce desired emissive power and heat flux profiles on a diffuse-nongray design surface of a two-dimensional radiant enclosure. The medium of enclosure is emitting-absorbing, and the design surface's emissivity is assumed to be varied with respect to wavelength. Regarding diffuse-nongray design surface, the variation of emissivity with respect to the wavelength is approximated by considering a set of nongray bands with constant emissivity and then the radiative transfer equation is solved by the discrete ordinates method for each band. The total heat flux on each surface element of the design surface is approximated by a summation over the contribution of nongray bands. The conjugate gradient method is used to minimize an objective function, expressed by the sum of square residuals between estimated and desired heat fluxes over the design surface. The sensitivity problem is approximated by differentiation of the radiative transfer equation with respect to the unknown variables. The performance of the present method is evaluated by comparing the results with those obtained by considering a diffuse-gray design surface. The results show that the heat source distribution is well recovered over the heat flux specified design surface in an appropriate range of accuracy.

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In the present work, an inverse design algorithm called Ball-Spine (BSA) is developed as a quasi-3D method on the meridional plane of a centrifugal pump impeller with rotating frame and incompressible viscous flow within it, with the aim of improving its performance. In this method, numerical analysis of viscous flow on a thin plane of flow between two blades using a 3D viscous flow solver is combined with BSA, which modifies hub and shroud geometries. Namely, instead of solving inviscid quasi-3D flow equations in the meridional plane, full 3D Navier-Stokes equations is solved on the thin plane of flow. To show the validity of the present work, centrifugal pump is numerically evaluated and numerical results are compared with experimental results, and flow field in the meridional plane of pump impeller is obtained using quasi-3D method. By studying the algorithm in the rotating geometry and choosing static pressure and reduced pressure as target parameters the ability of performance of the algorithm is assessed. After that, the new impeller geometry is obtained in conformity with the modified pressure distribution, by defining target pressure distribution on the hub and shroud surfaces of the conduit and trying to eliminate excess pressure gradients. Obtained results indicate good rate of convergence and desirable stability of BSA in the design of rotating conduits with incompressible viscous fluids. By using the above-mentioned optimization method following results was observed: increase of static pressure along streamline, 1% of increase in the pump total head, delay in impeller cavitation inception.