Unsteady laminar flow with convective heat transfer through a rotating curved square duct with small curvature

Rabindra Nath Mondal, Titob Roy, Poly Rani Shaha, Shinichiro Yanase

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Unsteady laminar flow with convective heat transfer through a curved square duct rotating at a constant angular velocity about the center of curvature is investigated numerically by using a spectral method, and covering a wide range of the Taylor number-300≤Tr≤1000 for the Dean number Dn = 1000. A temperature difference is applied across the vertical sidewalls for the Grashof number Gr = 100, where the outer wall is heated and the inner wall cooled, the top and bottom walls being adiabatic. Flow characteristics are investigated with the effects of rotational parameter, Tr, and the pressure-driven parameter, Dn, for the constant curvature 0.001. Time evolution calculations as well as their phase spaces show that the unsteady flow undergoes through various flow instabilities in the scenario 'multi-periodic → chaotic → steady-state → periodic → multi-periodic → chaotic', if Tr is increased in the positive direction. For negative rotation, however, time evolution calculations show that the flow undergoes in the scenario 'multi-periodic → periodic → steady-state', if Tr is increased in the negative direction. Typical contours of secondary flow patterns and temperature profiles are obtained at several values of Tr, and it is found that the unsteady flow consists of two-to six-vortex solutions if the duct rotation is involved. External heating is shown to generate a significant temperature gradient at the outer wall of the duct. This study also shows that there is a strong interaction between the heating-induced buoyancy force and the centrifugal-Coriolis instability in the curved channel that stimulates fluid mixing and consequently enhances heat transfer in the fluid.

Original languageEnglish
Title of host publicationInternational Conference on Mechanical Engineering: Proceedings of the 11th International Conference on Mechanical Engineering, ICME 2015
PublisherAmerican Institute of Physics Inc.
Volume1754
ISBN (Electronic)9780735414129
DOIs
Publication statusPublished - Jul 12 2016
Event11th International Conference on Mechanical Engineering, ICME 2015 - Dhaka, Bangladesh
Duration: Dec 18 2015Dec 20 2015

Other

Other11th International Conference on Mechanical Engineering, ICME 2015
CountryBangladesh
CityDhaka
Period12/18/1512/20/15

Fingerprint

convective heat transfer
laminar flow
ducts
curvature
unsteady flow
temperature gradients
Grashof number
heating
secondary flow
fluids
spectral methods
flow characteristics
angular velocity
buoyancy
temperature profiles
flow distribution
coverings
heat transfer
vortices
profiles

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Mondal, R. N., Roy, T., Shaha, P. R., & Yanase, S. (2016). Unsteady laminar flow with convective heat transfer through a rotating curved square duct with small curvature. In International Conference on Mechanical Engineering: Proceedings of the 11th International Conference on Mechanical Engineering, ICME 2015 (Vol. 1754). [040002] American Institute of Physics Inc.. https://doi.org/10.1063/1.4958362

Unsteady laminar flow with convective heat transfer through a rotating curved square duct with small curvature. / Mondal, Rabindra Nath; Roy, Titob; Shaha, Poly Rani; Yanase, Shinichiro.

International Conference on Mechanical Engineering: Proceedings of the 11th International Conference on Mechanical Engineering, ICME 2015. Vol. 1754 American Institute of Physics Inc., 2016. 040002.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mondal, RN, Roy, T, Shaha, PR & Yanase, S 2016, Unsteady laminar flow with convective heat transfer through a rotating curved square duct with small curvature. in International Conference on Mechanical Engineering: Proceedings of the 11th International Conference on Mechanical Engineering, ICME 2015. vol. 1754, 040002, American Institute of Physics Inc., 11th International Conference on Mechanical Engineering, ICME 2015, Dhaka, Bangladesh, 12/18/15. https://doi.org/10.1063/1.4958362
Mondal RN, Roy T, Shaha PR, Yanase S. Unsteady laminar flow with convective heat transfer through a rotating curved square duct with small curvature. In International Conference on Mechanical Engineering: Proceedings of the 11th International Conference on Mechanical Engineering, ICME 2015. Vol. 1754. American Institute of Physics Inc. 2016. 040002 https://doi.org/10.1063/1.4958362
Mondal, Rabindra Nath ; Roy, Titob ; Shaha, Poly Rani ; Yanase, Shinichiro. / Unsteady laminar flow with convective heat transfer through a rotating curved square duct with small curvature. International Conference on Mechanical Engineering: Proceedings of the 11th International Conference on Mechanical Engineering, ICME 2015. Vol. 1754 American Institute of Physics Inc., 2016.
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