ESTS0790 PROGRAM-K.

PROGRAM-K, Transonic Airfoil, Turbine, Compressor Blade Design

NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROGRAM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHORS, MATERIAL, CATEGORIES

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1. NAME OR DESIGNATION OF PROGRAM: PROGRAM-K.

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2. COMPUTERS

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Program name	Package id	Status	Status date
PROGRAM-K	ESTS0790/01	Tested	27-DEC-1995

Machines used:

Package ID	Orig. computer	Test computer
ESTS0790/01	CDC 7600	PC-80486

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3. DESCRIPTION OF PROGRAM OR FUNCTION

PROGRAM K is a design code for transonic airfoils, turbine or compressor blades.

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4. METHOD OF SOLUTION

The design program results from the ability to solve the partial differential equations of two-dimensional inviscid gas dynamics and analytic continuation into the domain of two independent complex characteristic coordinates. The domain of integration is mapped conformally onto the unit circle in the plane of one of these coordinates. On the circle it is possible to formulate a boundary value problem for the stream function that is well-posed even in the case of transonic flow. Two boundary value problems are solved by means of the fast Fourier Transform and complex extension. Thus, a procedure is developed for the calculation of an airfoil on which the speed q is prescribed as a function of arc length s. For subsonic flow an exact solution of this non-linear problem is obtained. For the transonic case a shockless flow results which assumes the assigned subsonic values of the speed q exactly but the resulting supersonic values of speed are near the given values.

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM:

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6. TYPICAL RUNNING TIME

The running time for the test case is approximately 290 seconds on the CDC6600. NESC executed the sample problem in 117 CPU seconds on a CDC CYBER175.

ESTS0790/01

NEA-DB ran the test case included in this package on a
66MHz PC/80486 in 33 seconds.

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7. UNUSUAL FEATURES OF THE PROGRAM:

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8. RELATED AND AUXILIARY PROGRAMS

PROGRAM H was developed for the analysis of transonic airfoils with a turbulent boundary layer correction.

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9. STATUS

Package ID	Status date	Status
ESTS0790/01	27-DEC-1995	Tested at NEADB

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10. REFERENCES:

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11. MACHINE REQUIREMENTS

132,000 (octal) words are required to execute the sample problem.

ESTS0790/01

The program was installed at the NEA-DB on a DELL 466/L PC/80486(66MHz) with 16MB of RAM.

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
ESTS0790/01	FORTRAN-IV

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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED: NOS 1.4.

ESTS0790/01

The program was installed at the NEA-DB under MS-DOS 6.20. The source was compiled with the Microsoft FORTRAN optimizing compiler version 5.10.

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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:

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15. NAME AND ESTABLISHMENT OF AUTHORS:

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16. MATERIAL AVAILABLE

ESTS0790/01

File name	File description	Records
ESTS0790_01.001	Information file	438
ESTS0790_01.002	Author's information file	192
ESTS0790_01.003	Source file #1	1827
ESTS0790_01.004	Source file #2	1835
ESTS0790_01.005	Source file #3	1524
ESTS0790_01.006	MAKEFILE to compile and link	17
ESTS0790_01.007	PROGRAM K executable	0
ESTS0790_01.008	Sample - TAPE3 input file	25
ESTS0790_01.009	Sample - TAPE7 input file	15
ESTS0790_01.010	Sample - TAPE4 output file	213
ESTS0790_01.011	Sample - TAPE3 output file	469
ESTS0790_01.012	DOS file-names	11

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17. CATEGORIES

H. Heat Transfer and Fluid Flow
I. Deformation and Stress Distributions, Structural Analysis and Engineering Design Studies

Keywords: flow models, flow sheets, foils, steam turbines, subsonic flow, turbines.