Visualization Techniques of Differentially Heated Lid-Driven Square Cavity
In the present study, an attempt is made to explore the flow field inside the differentially heated lid-driven square cavity. The governing equations along with boundary conditions are solved numerically. The simulated results (100 ≤ Re ≤ 1000 and 0.001 ≤ Ri ≤ 10) are validated with previous results...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/5756764 |
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| author | Vekamulla Narayana |
| author_facet | Vekamulla Narayana |
| author_sort | Vekamulla Narayana |
| collection | DOAJ |
| description | In the present study, an attempt is made to explore the flow field inside the differentially heated lid-driven square cavity. The governing equations along with boundary conditions are solved numerically. The simulated results (100 ≤ Re ≤ 1000 and 0.001 ≤ Ri ≤ 10) are validated with previous results in the literature. The convection differencing schemes, namely, UPWIND, QUICK, SUPERBEE, and SFCD, are discussed and are used to simulate the flow using the MPI code. It is observed that the computational cost for all the differencing schemes get reduced tremendously when the MPI code is implemented. Plots demonstrate the influences of Re and Ri in terms of the contours of the fluid streamlines, isotherms, energy streamlines, and field synergy principle. |
| format | Article |
| id | doaj-art-99cd55d1cc1d4a93b180fa34347969c7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-99cd55d1cc1d4a93b180fa34347969c72025-02-03T01:27:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/57567645756764Visualization Techniques of Differentially Heated Lid-Driven Square CavityVekamulla Narayana0Department of Mathematics, Balaji Institute of Technology & Science, Narsampet, Warangal-506331, Telangana State, IndiaIn the present study, an attempt is made to explore the flow field inside the differentially heated lid-driven square cavity. The governing equations along with boundary conditions are solved numerically. The simulated results (100 ≤ Re ≤ 1000 and 0.001 ≤ Ri ≤ 10) are validated with previous results in the literature. The convection differencing schemes, namely, UPWIND, QUICK, SUPERBEE, and SFCD, are discussed and are used to simulate the flow using the MPI code. It is observed that the computational cost for all the differencing schemes get reduced tremendously when the MPI code is implemented. Plots demonstrate the influences of Re and Ri in terms of the contours of the fluid streamlines, isotherms, energy streamlines, and field synergy principle.http://dx.doi.org/10.1155/2020/5756764 |
| spellingShingle | Vekamulla Narayana Visualization Techniques of Differentially Heated Lid-Driven Square Cavity International Journal of Mathematics and Mathematical Sciences |
| title | Visualization Techniques of Differentially Heated Lid-Driven Square Cavity |
| title_full | Visualization Techniques of Differentially Heated Lid-Driven Square Cavity |
| title_fullStr | Visualization Techniques of Differentially Heated Lid-Driven Square Cavity |
| title_full_unstemmed | Visualization Techniques of Differentially Heated Lid-Driven Square Cavity |
| title_short | Visualization Techniques of Differentially Heated Lid-Driven Square Cavity |
| title_sort | visualization techniques of differentially heated lid driven square cavity |
| url | http://dx.doi.org/10.1155/2020/5756764 |
| work_keys_str_mv | AT vekamullanarayana visualizationtechniquesofdifferentiallyheatedliddrivensquarecavity |