Mathematical model of centrifugal compressor vaneless diffuser based on CFD calculations
The approximate engineering techniques based on mathematical modelling are used in centrifugal compressor design. One of such methods is the well-proven Universal Modelling Method, developed in the scientific and research laboratory “Gas dynamics of turbo machines”, SPbPU. In the modern version of t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2020-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/38/e3sconf_hsted2020_01014.pdf |
| _version_ | 1819180281327779840 |
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| author | Solovyeva Olga Drozdov Aleksandr |
| author_facet | Solovyeva Olga Drozdov Aleksandr |
| author_sort | Solovyeva Olga |
| collection | DOAJ |
| description | The approximate engineering techniques based on mathematical modelling are used in centrifugal compressor design. One of such methods is the well-proven Universal Modelling Method, developed in the scientific and research laboratory “Gas dynamics of turbo machines”, SPbPU. In the modern version of the compressor model, vaneless diffusers mathematical model was applied based on a generalization of the CFD calculations. The mathematical model can be used for vaneless diffusers with a relative width in the range of 1.4 – 10.0%, with a radial length up to 2.0, in the range of inlet flow angles 10 to 90 degrees, the inlet velocity coefficient in the range of 0.39 – 0.82, Reynolds number varying from 87 500 to 1 030 000. The model was also used for calculating low-flow-rate model stages with narrow diffusers with diffusers’ relative width in the range of 0.5 – 2.0%. The mathematical model showed lesser accuracy. To widen the model applicability, new series of CFD-calculations were executed. A series of vaneless diffusers was designed with relative width in the range of 0.6 – 1.2%, The gas-dynamic characteristics of loss coefficients and outlet flow angle versus inlet flow angle of diffuser were calculated. Regression analysis was used to process the calculated data. System of algebraic equations linking geometric, gas-dynamic parameters and similarity criteria was developed. The obtained equations are included in a new mathematical model of the Universal Modelling Method. |
| first_indexed | 2024-12-22T22:11:51Z |
| format | Article |
| id | doaj.art-7c2fb843205c4b4f9dabe8db438e1c7f |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-22T22:11:51Z |
| publishDate | 2020-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-7c2fb843205c4b4f9dabe8db438e1c7f2022-12-21T18:10:52ZengEDP SciencesE3S Web of Conferences2267-12422020-01-011780101410.1051/e3sconf/202017801014e3sconf_hsted2020_01014Mathematical model of centrifugal compressor vaneless diffuser based on CFD calculationsSolovyeva Olga0Drozdov Aleksandr1Peter the Great St.Petersburg Polytechnic UniversityPeter the Great St.Petersburg Polytechnic UniversityThe approximate engineering techniques based on mathematical modelling are used in centrifugal compressor design. One of such methods is the well-proven Universal Modelling Method, developed in the scientific and research laboratory “Gas dynamics of turbo machines”, SPbPU. In the modern version of the compressor model, vaneless diffusers mathematical model was applied based on a generalization of the CFD calculations. The mathematical model can be used for vaneless diffusers with a relative width in the range of 1.4 – 10.0%, with a radial length up to 2.0, in the range of inlet flow angles 10 to 90 degrees, the inlet velocity coefficient in the range of 0.39 – 0.82, Reynolds number varying from 87 500 to 1 030 000. The model was also used for calculating low-flow-rate model stages with narrow diffusers with diffusers’ relative width in the range of 0.5 – 2.0%. The mathematical model showed lesser accuracy. To widen the model applicability, new series of CFD-calculations were executed. A series of vaneless diffusers was designed with relative width in the range of 0.6 – 1.2%, The gas-dynamic characteristics of loss coefficients and outlet flow angle versus inlet flow angle of diffuser were calculated. Regression analysis was used to process the calculated data. System of algebraic equations linking geometric, gas-dynamic parameters and similarity criteria was developed. The obtained equations are included in a new mathematical model of the Universal Modelling Method.https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/38/e3sconf_hsted2020_01014.pdf |
| spellingShingle | Solovyeva Olga Drozdov Aleksandr Mathematical model of centrifugal compressor vaneless diffuser based on CFD calculations E3S Web of Conferences |
| title | Mathematical model of centrifugal compressor vaneless diffuser based on CFD calculations |
| title_full | Mathematical model of centrifugal compressor vaneless diffuser based on CFD calculations |
| title_fullStr | Mathematical model of centrifugal compressor vaneless diffuser based on CFD calculations |
| title_full_unstemmed | Mathematical model of centrifugal compressor vaneless diffuser based on CFD calculations |
| title_short | Mathematical model of centrifugal compressor vaneless diffuser based on CFD calculations |
| title_sort | mathematical model of centrifugal compressor vaneless diffuser based on cfd calculations |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/38/e3sconf_hsted2020_01014.pdf |
| work_keys_str_mv | AT solovyevaolga mathematicalmodelofcentrifugalcompressorvanelessdiffuserbasedoncfdcalculations AT drozdovaleksandr mathematicalmodelofcentrifugalcompressorvanelessdiffuserbasedoncfdcalculations |