ABSTRACT
In this analysis the velocity is split into tangentially averaged and periodic components and the flow field is determined by solving each component separately. Circumferentially averaged quantities are shown with an over bar and defined by:
A s
Ady s
= ∫1 0 (2)
2.2 Clebsch’s formulation for steady rotational flow
By using Clebsch’s formulation of steady rotational flow, the velocity vector is decomposed into a potential as well as a rotational part. Thus, the velocity is written as:
V y= ∇ ( )x + ∇V α (3) If the velocity field is split into a pitchwise aver-
age and a velocity periodic:
V V v+ (4)
1 INTRODUCTION
There has been a lot interest in the development of inverse design methods by which the blade shape corresponding to a desired flow distribution is calculated. A large number of inverse design methods are available and are widely used for the design of blade rows[1-3]. As for the preliminary design, the most representative method is developed by Hawthorne[4, 5], which is based on Clebsch formulation and potential theory. However, Hawthorne’s method suffers from a shortcoming that it assumes the flow is incompressible. This assumption decreases its accuracy when the incoming Mach number is higher than 0.3.
