HYDROTHERMAL BEHAVIOR OF FLUID FLOW AND HEAT TRANSFER THROUGH A BENDING SQUARE CHANNEL

Authors:

Selim Hussen,Ratan Kumar Chanda,Rabindra Nath Mondal,

DOI NO:

https://doi.org/10.26782/jmcms.2022.01.00004

Keywords:

Heat transfer,2D flow,Time-Evolution (TEv),Phase-Space (PS),

Abstract

The numerous applications in medical fields as well as in industrial areas have drawn substantial attention of the researchers to study the fluid flow and heat transfer (HT) through a bent duct. The present paper demonstrates a spectral-based numerical study of 2D flow in a bent square geometry for various curvature ratios. The numerical calculation has been conducted over Dn, and the curvature ranges from 0.001 to 0.5. The horizontal walls are thermally different where the bottom wall is heated while the ceiling wall cooled, the vertical walls being thermally insulated. After an extensive investigation, we found two branching structures of the solution, each consisting of two branches with 2- to 8-vortex solutions for small and medium curvatures while three branches of solution structure for large curvature. The instability of the flow is then calculated by performing time-evolution (TEv) analysis and by sketching the phase-space (PS) of the solutions. This study also demonstrates that the HT is significantly boosted with the effect of secondary flows (SF) and the increasing secondary vortices boost heat transfer more effectively than other physically realizable solutions.

Refference:

I. Chanda, R. K., Hasan, M. S., Alam, M. M. and Mondal, R. N. (2020), Hydrothermal Behavior of Transient Fluid Flow and Heat Transfer through a Rotating Curved Rectangular Duct with Natural and Forced Convection, Mathematical Modelling of Engineering Problems, 7(4), 501-514.
II. H. Ito, Flow in curved pipes, JSME International Journal. 30, 1987, pp.543-52.
III. K. Nandakumar and J. H. Masliyah, Swirling Flow and Heat Transfer in Coiled and Twisted Pipes, Adv. Transport Process. 4, 1986, pp.49-112.
IV. K. Yamamato, W. Xiaoyum, N. Kazou, and H. Yasutuka, Visualization of Taylor-Dean flow in a curved duct of square cross section, J. Fluid Dyn. Res. 38, 2006, pp. 1-18.
V. M. Norouzi, M. H. Kayhani M. R. H. Nobari and M. K. Demneh, Convective Heat Transfer of Viscoelastic Flow in a Curved Duct, World Academy of Science. Engineering and Technology. 32, 2009, pp.327-333.
VI. M. Z. Islam, R. N. Mondal, M. M. Rashidi, Dean-Taylor flow with convective heat transfer through a coiled duct, Computers and Fluids. 149, 2017, pp.41-55.

VII. Md. Hasanuzzaman, Md. Mosharrof Hossain, M.M. Ayub Hossain. : ‘SIMILARITY SOLUTION OF HEAT AND MASS TRANSFER FOR LIQUID EVAPORATION ALONG A VERTICAL PLATE COVERED WITH A THIN POROUS LAYER’. J. Mech. Cont. & Math. Sci., Vol.-16, No.-4, April (2021) pp 47-60. DOI : https://doi.org/10.26782/jmcms.2021.04.00004

VIII. Rafiuddin, Noushima Humera. G. : ‘ NUMERICAL SOLUTION OF UNSTEADY TWO – DIMENSIONAL HYDROMAGNETICS FLOW WITH HEAT AND MASS TRANSFER OF CASSON FLUID’. J. Mech. Cont.& Math. Sci., Vol.-15, No.-9, September (2020) pp 17-30. DOI : https://doi.org/10.26782/jmcms.2020.09.00002
IX. R. N. Mondal, T. Watanabe, M. A. Hossain and S. Yanase, Vortex-Structure and Unsteady Solutions with Convective Heat Transfer through a Curved Duct, Journal of Thermophysics and Heat Transfer. 31(1), 2017, pp.243-254.
X. R. N. Mondal, Y. Kaga, T. Hyakutake and S. Yanase, Effects of curvature and convective heat transfer in curved square duct flows, Trans. ASME, Journal of Fluids Engineering. 128(9), 2006, pp.1013-1022.
XI. S. A. Berger, L. Talbot, L. S. Yao, Flow in Curved Pipes, Annual. Rev. Fluid. Mech. 35, 1983, pp.461-512.
XII. S. N. Dolon, M. S. Hasan, S. C. Ray, and R. N. Mondal, Vortex-structure of secondary flows with effects of strong curvature on unsteady solutions through a curved rectangular duct of large aspect ratio, AIP Conference Proceedings. 2121, 050004, 2019.
XIII. S. Yanase, Y. Kaga, R. Daikai, Laminar Flows through a curved rectangular duct over a wide range of the aspect ratio, Fluid Dynamics Research. 31, 2002, pp.151–183.
XIV. W. R. Dean, Note on the motion of fluid in a curved pipe, Philos Mag. 4, 1927, pp.208-223.

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