in this article a novel universal method for solving the inverse problem and hybrid problem of types A, C and D is proposed, a new image plane ξ-η being introduced.

Based on the variational principle in terms of the moment function for type-C hybrid problem of cascades on an arbitrary streamsheet of revolution, this paper presents a new method for designing a ventilator's blades which can satisfy requirements of many performances such as aerodynamics, strength, manufacturing engineering, etc.

The variational principles are derived for the full-direct problem of an incompressible flow along a S2 stream surface by means of the inverse-deduction method, and based on them the VPs are also developed for the Type-A hybrid problem by applying the inversive transformation. The paper aims at provision of a new theoretical basis for the design, modification and flow analysis of runners of hydraulic turbines, pumpl and ventilators by the FEM and all kinds of direct variational methods.

Then,the variational and generalized variational principles are developed for the types A,D,and E hybrid problems of an incompressible flow along a mixed-flow S2 stream surface by applying the inverse transformation to the corresponding variational principles for the semi-inverse problem of a mixed-flow S2 stream surface.

Taking angle function defined by continuity equation as an argument,variational principles assigned for viscous compressible complete gas mixture on S 1 stream surface cascade for the axial compressor and broad variational prineiple are built.

Inparticular, the solution procedure is illustrated in detail for the type-C hybrid problem--design a cascade with prescribed profile thickness distribution and suction surface velocity distribution.

In this paper the theory of new-type universal function Y and mapping plane is applied to derive finite element equation of quasi 3-D steady flow of incompressible ideal fluid in the field of gravity, and then two types of quasi 3-D cross proposition for inlet conduit of large hori- zontal axial pump station are calculated by the finite element method.

We study the hybrid problem of Hua's theorem and the Piatetski-Shapiro prime number theorem, and obtain results in this direction of the nonhomogeneous case.

This hybrid problem is shown to be well-posed in weighted Sobolev spaces with attached asymptotics.

The main purpose in this paragraph is to manage the optimal resolution of the hybrid problem through this set of cells.

The principle of our solving algorithm 4 is to compute column by column a piecewise optimal solution of our hybrid problem along the path.

A variable-domain variational theory using Clebsch variables for hybrid problems of 2-D transonic rotational flow

A unified variational theory of hybrid problems for fully 3-D transonic rotor-flow with shocks.

Based on [3], the unified variable-domain variational theory of hybrid problems for rotor-flow [1], [2], [16], [24] is extended to fully 3-D transonic rotor-flows with shocks, unifying and generalizing the direct and inverse problems.

Derivation and transformation of variational principles with emphasis on inverse and hybrid problems in fluid mechanics: a syste

This approach has been used with great success in establishing VP-families in fluid mechanics with special attention to inverse and hybrid problems of flow in a rotating system.

A new general function - moment function - for ideal compressible flow along an arbitrary rotating streamsheet of revolution is introduced first, and furthermore, generalized to viscous flows. Finally, based on it, a universal method for solving inverse- & hybrid (type A, [2]) aerodynamic problems of airfoil cascades on a general streamsheet of revolution is proposed. It has been shown that the new function possesses some remarkable characteristics which make it particularly suitable for solving hybrid problems...

A new general function - moment function - for ideal compressible flow along an arbitrary rotating streamsheet of revolution is introduced first, and furthermore, generalized to viscous flows. Finally, based on it, a universal method for solving inverse- & hybrid (type A, [2]) aerodynamic problems of airfoil cascades on a general streamsheet of revolution is proposed. It has been shown that the new function possesses some remarkable characteristics which make it particularly suitable for solving hybrid problems and to transonic flow. The possibility of an extension of moment function to full 3-D. viscous compressible flow is also indicated [8].

in this article a novel universal method for solving the inverse problem and hybrid problem of types A, C and D is proposed, a new image plane ξ-η being introduced. Inparticular, the solution procedure is illustrated in detail for the type-C hybrid problem--design a cascade with prescribed profile thickness distribution and suction surface velocity distribution. This new approach, in comparison with the previous ones[1,4,5,6], is capable of treating blunt nose profiles with higher accuracy and very suitable...

in this article a novel universal method for solving the inverse problem and hybrid problem of types A, C and D is proposed, a new image plane ξ-η being introduced. Inparticular, the solution procedure is illustrated in detail for the type-C hybrid problem--design a cascade with prescribed profile thickness distribution and suction surface velocity distribution. This new approach, in comparison with the previous ones[1,4,5,6], is capable of treating blunt nose profiles with higher accuracy and very suitable for joint use with the optimization theory of cascades[4,10]. Perhaps the most attractive feature of this approach is its merit of extension to the solution of the hybrid problem of fully 3-D flow.

Based on the previous works [3-5] and making use of the functional variation with variable domain, the present paper suggests a unified theory of various hybrid problems for 3-D incompressible potential flow in a rotor-blading. Three typical hybrid problems (H_A×H_A), (H_B×H_A) and (H_C×H_A) are treated of in detail, and three families of variational principles (VPs) and generalized VPs are established for them. The hybrid problem (H_A×H_A) includes the usual direct problem as a simplest special case. This theory...

Based on the previous works [3-5] and making use of the functional variation with variable domain, the present paper suggests a unified theory of various hybrid problems for 3-D incompressible potential flow in a rotor-blading. Three typical hybrid problems (H_A×H_A), (H_B×H_A) and (H_C×H_A) are treated of in detail, and three families of variational principles (VPs) and generalized VPs are established for them. The hybrid problem (H_A×H_A) includes the usual direct problem as a simplest special case. This theory provides a series of new rational ways for the new design and/or old blade modification and also constitutes an important part of the aerpdynamic optimization theory of blading [8]. It can be extended further to compressible flow as well as to rotational flow.