Impeller blade for axial flow fan having counter-rotating impellers
AssigneeNMB U.S.A. Inc.
InventorsPhillip James Bradbury, Phep Xuan Nguyen, Chalmers R. Jenkins, Scott H. Frankel
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Abstract
A method for determining the camber line and the thickness distribution for the blades used in fans having counter-rotating impellers.
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Claims9
A method for determining a first optimum camber line and thickness distribution in a first blade used in a first impeller and a second optimum camber line and thickness distribution in a second blade used in a second impeller, comprising the steps of:
- determining a series of performance parameters and design constraints for a counter rotating fan comprised of said first impeller and said second impeller;
- determining a chord length, a camber angle, and a stagger angle for said first blade and a chord length, a camber angle, and a stagger angle for said second blade,
- utilizing Bezier curves to determine the optimum camber line and thickness distributions in said first blade and in said second blade.
A method for determining optimum camber line and thickness distributions in a first blade used in a first impeller and in a second blade used in a second impeller where said first blade and said second blade each have a root portion, a tip portion, a leading edge and a trailing edge, comprising the steps of:
- determining a series of fan performance parameters and design constraints for a counter rotating fan comprised of said first impeller and said second impeller;
- utilizing Bezier curves to determine the appropriate camber line and thickness distributions according to the equation
- 3 F ( u ) = ∑ k = O k = n f k B k n ( u )
- wherein:
- F(u) represents the solution of the Bezier curve;
- u is a parameter that varies linearly between 0 and 1, (u=0 at the leading edge and u=1 at the trailing edge);
- fk is a one-dimensional array of Bezier control points;
- Bkn(u) is the Bernstein polynomial of degree n;
- Bkn(u)=(kn)uk(1−u)n−k;
- n+1 is the number of Bezier control points;
- and
- (kn) are the binomial coefficients as defined in CRC Standard Mathematical Tables, 22nd Ed., 1974, p. 627;
- selecting initial values of the Bezier control points;
- separately applying F(u) to determine the camber line x and y coordinates as well as the thickness distributions;
- conducting an inviscid flow analysis to determine a surface velocity distribution and a work distribution for each of the resultant camberline and thickness distributions;
- altering the Bezier control points, acquiring different camber and thickness distributions, and repeating the process until a favorable solution is achieved.
The method disclosed in claim wherein:
- n is chosen to be 18 so that the resultant Bezier equations are an 18th degree polynomial.
The method disclosed in claim wherein:
- the surface velocity distribution does not promote boundary layer separation.
Dependencies are inferred from the claim text.