A numerical study for off-centered stagnation flow towards a rotating disc
In this investigation, a semi-numerical method based on Bernstein polynomials for solving off-centered stagnation flow towards a rotating disc is introduced. This method expands the desired solutions in terms of a set of Bernstein polynomials over a closed interval and then makes use of the tau meth...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
KeAi Communications Co., Ltd.
2015-09-01
|
| Series: | Propulsion and Power Research |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2212540X15000498 |
| _version_ | 1797710072047992832 |
|---|---|
| author | M. Heydari G.B. Loghmani M.M. Rashidi S.M. Hosseini |
| author_facet | M. Heydari G.B. Loghmani M.M. Rashidi S.M. Hosseini |
| author_sort | M. Heydari |
| collection | DOAJ |
| description | In this investigation, a semi-numerical method based on Bernstein polynomials for solving off-centered stagnation flow towards a rotating disc is introduced. This method expands the desired solutions in terms of a set of Bernstein polynomials over a closed interval and then makes use of the tau method to determine the expansion coefficients to construct approximate solutions. This method can satisfy boundary conditions at infinity. The properties of Bernstein polynomials are presented and are utilized to reduce the solution of governing nonlinear equations and their associated boundary conditions to the solution of algebraic equations. Graphical results are presented to investigate the influence of the rotation ratio α on the radial velocity, azimuthal velocity and the induced velocities. A comparative study with the previous results of viscous fluid flow in the literature is made. |
| first_indexed | 2024-03-12T06:46:53Z |
| format | Article |
| id | doaj.art-18bacbede81b49038a11e355f9cb5ce8 |
| institution | Directory Open Access Journal |
| issn | 2212-540X |
| language | English |
| last_indexed | 2024-03-12T06:46:53Z |
| publishDate | 2015-09-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Propulsion and Power Research |
| spelling | doaj.art-18bacbede81b49038a11e355f9cb5ce82023-09-03T00:31:36ZengKeAi Communications Co., Ltd.Propulsion and Power Research2212-540X2015-09-014316917810.1016/j.jppr.2015.07.004A numerical study for off-centered stagnation flow towards a rotating discM. Heydari0G.B. Loghmani1M.M. Rashidi2S.M. Hosseini3Department of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, IranDepartment of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, IranMechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, IranDepartment of Mathematics, Khatam Center, Islamic Azad University, Yazd, IranIn this investigation, a semi-numerical method based on Bernstein polynomials for solving off-centered stagnation flow towards a rotating disc is introduced. This method expands the desired solutions in terms of a set of Bernstein polynomials over a closed interval and then makes use of the tau method to determine the expansion coefficients to construct approximate solutions. This method can satisfy boundary conditions at infinity. The properties of Bernstein polynomials are presented and are utilized to reduce the solution of governing nonlinear equations and their associated boundary conditions to the solution of algebraic equations. Graphical results are presented to investigate the influence of the rotation ratio α on the radial velocity, azimuthal velocity and the induced velocities. A comparative study with the previous results of viscous fluid flow in the literature is made.http://www.sciencedirect.com/science/article/pii/S2212540X15000498Off-centered stagnation flowSimilarity transformBernstein polynomialsFunction approximationTau method |
| spellingShingle | M. Heydari G.B. Loghmani M.M. Rashidi S.M. Hosseini A numerical study for off-centered stagnation flow towards a rotating disc Propulsion and Power Research Off-centered stagnation flow Similarity transform Bernstein polynomials Function approximation Tau method |
| title | A numerical study for off-centered stagnation flow towards a rotating disc |
| title_full | A numerical study for off-centered stagnation flow towards a rotating disc |
| title_fullStr | A numerical study for off-centered stagnation flow towards a rotating disc |
| title_full_unstemmed | A numerical study for off-centered stagnation flow towards a rotating disc |
| title_short | A numerical study for off-centered stagnation flow towards a rotating disc |
| title_sort | numerical study for off centered stagnation flow towards a rotating disc |
| topic | Off-centered stagnation flow Similarity transform Bernstein polynomials Function approximation Tau method |
| url | http://www.sciencedirect.com/science/article/pii/S2212540X15000498 |
| work_keys_str_mv | AT mheydari anumericalstudyforoffcenteredstagnationflowtowardsarotatingdisc AT gbloghmani anumericalstudyforoffcenteredstagnationflowtowardsarotatingdisc AT mmrashidi anumericalstudyforoffcenteredstagnationflowtowardsarotatingdisc AT smhosseini anumericalstudyforoffcenteredstagnationflowtowardsarotatingdisc AT mheydari numericalstudyforoffcenteredstagnationflowtowardsarotatingdisc AT gbloghmani numericalstudyforoffcenteredstagnationflowtowardsarotatingdisc AT mmrashidi numericalstudyforoffcenteredstagnationflowtowardsarotatingdisc AT smhosseini numericalstudyforoffcenteredstagnationflowtowardsarotatingdisc |