EFFECTS OF ROTATION ON UNSTEADY FLUID FLOW AND FORCED CONVECTION IN THE ROTATING CURVED SQUARE DUCT WITH A SMALL CURVATURE

Mohammad Sanjeed Hasan, Ratan Kumar Chanda, Rabindra Nath Mondal, Giulio Lorenzini

DOI Number
https://doi.org/10.22190/FUME210129041A
First page
255
Last page
278

Abstract


In recent years, the analysis of flow disposition in a curved duct (CD) has greatly attracted researchers because it is broadly used in engineering devices. In the present paper, unsteady flow characteristics of energy transfer (HT) in a rotating curved square duct (CSD) have been presented with the aid of spectral method. The key purpose of this study is to explore rotational effects and heat transfer (HT) of the duct. For this purpose, time-evolution calculation is performed over the Taylor number (-1500 ≤ Tr ≤ 1500) and other parameters are fixed; e.g., Dean number (Dn = 1000), Curvature (δ = 0.015) and Prandtl number (Pr = 7.0, for water). Firstly, time-dependent behavior is accomplished for both clockwise and anticlockwise rotations. It is found that the flow instabilities are certainly governed by the change of Tr that has been justified by sketching phase spaces (PS). To observe the flow features, velocities including axial flow (AF), secondary flow (SF) and temperature profiles are disclosed for both rotations; and it is elucidated that 2- to 6-vortex solutions are generated for physically realizable solutions. Axial flow (AF) shows that two maximum-velocity regimes are produced which induces secondary flow (SF), and, consequently, a strong bonding between the AF and SF has been built up. It is observed that as the rotation is increased, the fluid is mixed considerably which boosts HT in the fluid. Finally, an assessment between the numerical and experimental data has been given, and a good agreement is observed.


Keywords

Rotating Curved Duct, Taylor Number, Heat-flux, Phase Space, Chaos

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References


Mondal, R.N., Kaga, Y., Hyakutake, T., Yanase, S., 2006, Effects of curvature and convective heat transfer in curved square duct flows, Trans ASME, Journal of Fluids Engineering, 128(9), pp. 1013-1022.

Mondal, R.N., Kaga, Y., Hyakutake, T., Yanase, S., 2007, Bifurcation diagram for two-dimensional steady flow and unsteady solutions in a curved square duct, Fluid Dynamics Research, 39, pp. 413-446.

Yanase, S., Mondal, R.N., Kaga, Y., 2005, Numerical Study of Non-Isothermal Flow with Convective Heat Transfer in a Curved Rectangular Duct, International Journal of Thermal Science, 44(11), pp. 1047-1060.

Rumsey, C.L., Gatski, T.B., Morrison, J.H., 2010, Turbulence Model Predictions of Strongly Curved Flow in a U-Duct, AIAA Journal, 38(8), pp. 1394-1402.

Chandratilleke, T.T., Nadim, N., Narayanaswamy, R., 2013, Analysis of Secondary Flow Instability and Forced Convection in Fluid Flow through Rectangular and Elliptical Curved Ducts, Heat Transfer Engineering, 34(14), pp. 1237-1248.

Ahmadloo, E., Sobhanifar, N., Hosseini, F.S., 2014, Computational Fluid Dynamics Study on Water Flow in a Hollow Helical Pipe, Open Journal of Fluid Dynamics, 4(2), pp. 133-139.

Liu, F., Wang, L., 2009, Analysis on multiplicity and stability of convective heat transfer in tightly curved rectangular ducts, International Journal of Heat and Mass Transfer, 52(25-26), pp. 5849–5866.

Yanase, S., Kaga, Y., Daikai, R., 2002, Laminar flow through a curved rectangular duct over a wide range of aspect ratio, Fluid Dynamics Research, 31(3), pp. 151-83.

Yanase, S., Watanabe, T., Hyakutake, T., 2008, Traveling-wave solutions of the flow in a curved-square duct, Physics of Fluids, 20(12), 124101.

Nazeer, G., Islam, S., Shigri, S.H., Saeed, S., 2019, Numerical investigation of different flow regimes for multiple staggered rows, AIP Advances, 9(3), 035247.

Zhou, B., Wang, X., Guo, W., Gho, W.M., Tan, S.K., 2015, Control of flow past a dimpled circular cylinder, Experimental Thermal and Fluid Science, 69, pp. 19–26.

Zhang, J., Chen, H., Zhou, B., Wang, X., 2019, Flow around an array of four equispaced square cylinders, Applied Ocean Research, 89, pp. 237-250.

Hashemi, A., Fischer, P.F., Loth, F., 2018, Direct numerical simulation of transitional flow in a finite length curved pipe, Journal of Turbulence, 19(8), pp. 664-682.

Zhang, W., Wei, Y., Dou, H.S., Zhu, Z., 2018, Transient behaviors of mixed convection in a square enclosure with an inner impulsively rotating circular cylinder, International Communications in Heat and Mass Transfer, 98, pp. 143-154.

Wang, L., Yang, T., 2005, Periodic oscillation in curved duct flows, Physica D, 200, pp. 296–302.

Arpino, F., Cortellessa, G., Mauro, A., 2015, Transient Thermal Analysis of Natural Convection in Porous and Partially Porous Cavities, Numerical Heat Transfer, Part A: Applications, 67(6), pp. 605-631.

Mondal, R.N., Islam, M.S., Uddin, K., Hossain, M.A., 2013, Effects of aspect ratio on unsteady solutions through curved duct flow, Applied Mathematics and Mechanics, 34(9), pp. 1107-1122.

Ray, S.C., Hasan, M.S., Mondal, R.N., 2020, On the Onset of Hydrodynamic Instability with Convective Heat Transfer Through a Rotating Curved Rectangular Duct, Mathematical Modelling of Engineering Problems, 7(1), pp. 31-44.

Hasan, M.S., Islam, M.M., Ray, S.C., Mondal, R.N., 2019, Bifurcation structure and unsteady solutions through a curved square duct with bottom wall heating and cooling from the ceiling, AIP Conference Proceedings, 2121, 050003.

Hasan, M.S., Mondal, R.N., Lorenzini, G., 2019, Numerical Prediction of Non-isothermal Flow with Convective Heat Transfer through a Rotating Curved Square Channel with Bottom Wall Heating and Cooling from the Ceiling, International Journal of Heat and Technology, 37(3), pp. 710-726.

Islam, M.Z., Mondal, R.N., Rashidi, M.M., 2017, Dean-Taylor Flow with Convective Heat Transfer through a Coiled Duct, Computers and Fluids, 149, pp. 141-155.

Kurtulmus, N.¸ Zontul, H., Sahin, B., 2020, Heat transfer and flow characteristics in a sinusoidally curved converging-diverging channel, International Journal of Thermal Sciences, 148, 106163.

Zheng, Y., Jiang, P.X., Luo, F., Xu, R.N., 2019, Instability during transition to turbulence of supercritical pressure CO2 in a vertical heated serpentine tube, International Journal of Thermal Sciences, 145, 105976.

Dean, W.R., 1927, Note on the motion of fluid in a curved pipe, Philos Mag., 4, pp. 208-23.

Ozaki, K., Maekawa, H., 2004, Curvature Effects in the Curved Duct for the Compressible Viscous Flow, 24th International Congress of the Aeronautical Sciences, pp. 1787-1792.

Chandratilleke, T.T., Nadim, N., Narayanaswamy, R., 2012, Vortex structure-based analysis of laminar flow behaviour and thermal characteristics in curved ducts, International Journal of Thermal Sciences, 59, pp. 75-86.

Alam, M.M., Ota, M., Ferdows, M., Islam, M.N., Wahiduzzaman, M., Yamamoto, K., 2007, Flow through a rotating helical pipe with a wide range of the Dean number, Arch. Mech., 59(6), pp. 501–517.

Bayat, P., Rezai, P., 2017, Semi-Empirical Estimation of Dean Flow Velocity in Curved Microchannels, Scientific Reports, 7, 13655.

Li, Y., Wang, X., Yuan, S., Tan, S.K., 2016, Flow development in curved rectangular ducts with continuously varying curvature, Experimental Thermal and Fluid Science, 75, pp. 1-15.

Watanabe, T., Yanase, S., 2013, Bifurcation Study of Three-Dimensional Solutions of the Curved Square-Duct Flow, Journal of the Physical Society of Japan, 82, 074402.

Nowruzi, H., Ghassemi, H., Nourazar, S.S., 2020, Study of the effects of aspect ratio on hydrodynamic stability in curved rectangular ducts using energy gradient method, Engineering Science and Technology, 23(2), pp. 334-344.

Norouzi, M., Biglari, N., 2013, An analytical solution for Dean flow in curved ducts with rectangular cross section, Physics of Fluids, 25, 053602.

Razavi, S.E., Soltanipour, H., Choupania, P., 2015, Second Law Analysis of Laminar Forced Convection in a Rotating Curved Duct, Thermal Science, 19(1), pp. 95-107.

Hasan, M.S., Mondal, R.N., Lorenzini, G., 2019, Centrifugal Instability with Convective Heat Transfer Through a Tightly Coiled Square Duct, Mathematical Modelling of Engineering Problems, 6(3), pp. 397-408.

Hasan, M.S., Mondal, R.N., Kouchi, T., Yanase, S., 2019, Hydrodynamic instability with convective heat transfer through a curved channel with strong rotational speed, AIP Conference Proceedings, 2121, 030006.

Sasmito, A.P., Kurnia, J.C., Mujumdar, A.S., 2011, Numerical evaluation of laminar heat transfer enhancement in nanofluid flow in coiled square tubes, Nanoscale Research Letters, 6, 376.

AL‐Juhaishi, L.F.M., Ali, M.F.M., Mohammad, H.H., Ajeel, R.K., 2020, Numerical thermal‐hydraulic performance investigations in turbulent curved channel flow with horseshoe baffles, Heat transfer, 49(6), pp. 3816-3836.

Zhang, L.Y., Lu, Z., Wei, L.C., Yang, X., Yu, X.L., Meng, X.Z., Jin, L.W., 2019, Numerical investigation of flow characteristics and heat transfer performance in curve channel with periodical wave structure, International Journal of Heat and Mass Transfer, 140, pp. 426–439.

Zhang, C., Niu, Y., Xu, J., 2020, An anisotropic turbulence model for predicting heat transfer in a rotating channel, International Journal of Thermal Sciences, 148, 106119.

Schindler, A., Younis, B.A., Weigand, B., 2019, Large-Eddy Simulations of turbulent flow through a heated square duct, International Journal of Thermal Sciences, 135, pp. 302-318.

Gottlieb, D., Orazag, S.A., 1977, Numerical Analysis of Spectral Methods, Society of Industrial and Applied Mathematics, Philadelphia, USA.

Mondal, R.N., 2006, Isothermal and Non-isothermal Flows through Curved ducts with Square and Rectangular Cross Sections, Ph.D. Thesis, Department of Mechanical and Systems Engineering, Okayama University, Japan.

Yamamato, K., Xiaoyum, W., Kazou, N., Yasutuka, H., 2006, Visualization of Taylor-Dean flow in a curved duct of square cross section, Fluid Dynamics Research, 38, pp. 1-18.

Yang, Z., Ding, L., Zhang, L., Yang, L., He, H., 2020, Two degrees of freedom flow-induced vibration and heat transfer of an isothermal cylinder, International Journal of Heat and Mass Transfer, 154, 119766.

Khanafer, K., Aithal, S.M., Vafai, K., 2019, Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders, International Journal of Thermal Sciences, 135, pp. 117-132.

Geike, T., 2021, Bubble dynamics-based modeling of the cavitation dynamics in lubricated contacts, Facta Universitatis-Series Mechanical Engineering, 19(1), pp. 115-124.

Dolon, S.N., Hasan, M.S., Lorenzini, G., Mondal, R.N., 2021, A computational modeling on transient heat and fluid flow through a curved duct of large aspect ratio with centrifugal instability, The European Physical Journal Plus, 136, 382.

Mousavi, S.M., Rostami, M.N., Yousefi, M., Dinarvand, S., 2021, Dual solutions for MHD flow of a water-based TiO2-Cu hybrid nanofluid over a continuously moving thin needle in presence of thermal radiation, Reports in Mechanical Engineering, 2(1), pp. 31-40.

Bibin, K.S., Jayakumar, J.S., 2020, Thermal hydraulic characteristics of square ducts having porous material inserts near the duct wall or along the duct centre, International Journal of Heat and Mass Transfer, 148, 119079.

Umavathi, J.C., Bég, O.A., 2020, Effects of thermo-physical properties on heat transfer at the interface of two immisicible fluids in a vertical duct: Numerical study, International Journal of Heat and Mass Transfer, 154, 119613.

Nobari, M.R.H., Ahrabi, B.R., Akbari, G., 2009, A numerical analysis of developing flow and heat transfer in a curved annular pipe, International Journal of Thermal Sciences, 48, pp. 1542–1551.

Riyi, L., Xiaoqian, W., Weidong, X., Xinfeng, J., Zhiying, J., 2019, Experimental and numerical study on forced convection heat transport in eccentric annular channels, International Journal of Thermal Sciences, 136, pp. 60-69.

Mansour, M., Thévenin, D., Zähringer, K., 2020, Numerical study of flow mixing and heat transfer in helical pipes, coiled flow inverters and a novel coiled configuration, Chemical Engineering Science, 221, 115690.

Tanweer, S., Dewan, A., Sanghi, S., 2020, Influence of three-dimensional wake transition on heat transfer from a square cylinder near a moving wall, International Journal of Heat and Mass Transfer, 148, 118986.

Hasan, M.S., Mondal, R.N., Lorenzini, G., 2020, Physics of bifurcation of the flow and heat transfer through a curved duct with natural and forced convection, Chinese Journal of Physics, 67, pp. 428-457.

Hasan, M.S., Islam, M.S., Badsha, M.F., Mondal, R.N., Lorenzini, G., 2020, Numerical Investigation on the Transition of Fluid Flow Characteristics Through a Rotating Curved Duct, International Journal of Applied Mechanics and Engineering, 25(3), pp. 45-63.

Hasan, M.S., Mondal, R.N., Lorenzini, G., 2020, Coriolis force effect in steady and unsteady flow characteristics with convective heat transfer through a curved square duct, International Journal of Mechanical Engineering, 5(1), pp. 1-39.




DOI: https://doi.org/10.22190/FUME210129041A

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