TY - GEN
T1 - Linear Stability Analysis of Two-Dimensional Mixed Convective Flow Past a Square Cylinder
AU - Dushe, Rudram
AU - Khan, Basheer A.
AU - Saha, Arun K.
N1 - Publisher Copyright:
© 2024, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2024/1/1
Y1 - 2024/1/1
N2 - Linear stability analysis of two-dimensional mixed convective flow past a heated square section cylinder is performed, to determine the flow stability for given flow parameters, and to study the onset of vortex shedding suppression as the Richardson number (Ri) increases. All analyses are performed in the assisted buoyancy regime Ri > 0. The results from the linear stability analysis are also validated against the results from Direct Numerical Simulation (DNS). The Reynolds number (Re) and the Prandtl number (Pr) are fixed at 100 and 0.7, respectively, and the effect of Richardson number on the suppression of vortex shedding phenomena is studied, by varying in the range. A critical Richardson number of 0.16 corresponding to the onset of suppression of vortex shedding was found through DNS. Through the linear stability analysis, this transition from unsteady to steady flow field was found to occur via a Hopf bifurcation. The behavior of the eigenmodes of the most unstable perturbations was studied. Lastly, a discussion has been made regarding the possible mechanisms that cause the transition in flow stability.
AB - Linear stability analysis of two-dimensional mixed convective flow past a heated square section cylinder is performed, to determine the flow stability for given flow parameters, and to study the onset of vortex shedding suppression as the Richardson number (Ri) increases. All analyses are performed in the assisted buoyancy regime Ri > 0. The results from the linear stability analysis are also validated against the results from Direct Numerical Simulation (DNS). The Reynolds number (Re) and the Prandtl number (Pr) are fixed at 100 and 0.7, respectively, and the effect of Richardson number on the suppression of vortex shedding phenomena is studied, by varying in the range. A critical Richardson number of 0.16 corresponding to the onset of suppression of vortex shedding was found through DNS. Through the linear stability analysis, this transition from unsteady to steady flow field was found to occur via a Hopf bifurcation. The behavior of the eigenmodes of the most unstable perturbations was studied. Lastly, a discussion has been made regarding the possible mechanisms that cause the transition in flow stability.
KW - DNS
KW - Linear stability analysis
KW - Mixed convection
KW - Vortex shedding suppression
UR - http://www.scopus.com/inward/record.url?scp=85186647821&partnerID=8YFLogxK
U2 - 10.1007/978-981-99-5752-1_7
DO - 10.1007/978-981-99-5752-1_7
M3 - Conference contribution
AN - SCOPUS:85186647821
SN - 9789819957514
T3 - Lecture Notes in Mechanical Engineering
SP - 75
EP - 88
BT - Fluid Mechanics and Fluid Power, Volume 2 - Select Proceedings of FMFP 2022
A2 - Singh, Krishna Mohan
A2 - Dutta, Sushanta
A2 - Subudhi, Sudhakar
A2 - Singh, Nikhil Kumar
PB - Springer Science and Business Media Deutschland GmbH
T2 - 9th International and 49th National Conference on Fluid Mechanics and Fluid Power, FMFP 2022
Y2 - 14 December 2022 through 16 December 2022
ER -