Mixed Convection from Tandem Semi-Circular Cylinders Arranged in a Vertical Channel

Document Type : Research Article

Authors

Department of Chemical Engineering, Thapar Institute of Engineering & Technology, Patiala, Punjab, INDIA

Abstract

Semi-circular cylinders provide better space economy than circular and other non-circular cylinders. The cylinders are frequently used in a tandem arrangement in heat transfer equipment. The present study aims to obtain the flow and heat transfer characteristics for the tandem arrangement of semi-circular cylinders. The cylinders are placed in a vertical channel with a blockage (β) of 0.2. The upward flow under the reverse gravity is considered here. The influence of various parameters such as Reynolds number (Re), Prandtl number (Pr), Richardson number (Ri), and spacing between cylinders (YC) is observed. The governing parameters are varied in a range of 1 ≤ YC ≤ 6, 1 ≤ Re ≤ 50, 0.7 ≤ Pr ≤ 50, and 0 ≤ Ri ≤ 2. The numerical results are obtained by solving governing equations using FVM (Finite volume method). The velocity field, thermal field, drag coefficient (CD), pressure coefficient (Cp), and average Nusselt number (Nuavg) are presented. The increase in Re and Pr has enhanced the Nuavg and CD, whereas Ri and YC have shown complex dependency. The obtained results show that the mutual interaction of upstream and downstream cylinders has vanished for YC > 4. The upstream and downstream cylinders have shown different behavior at identical operating conditions. The drag coefficient for the upstream cylinder varies with YC for 1 ≤ Re ≤ 10, whereas for 10 ≤ Re ≤ 50, it shows negligible change except for the case of Pr = 0.7 and Ri = 2. The drag on the downstream cylinder increases monotonically with an increase in YC. The average Nusselt number for both cylinders increased with an increase in YC except for the downstream cylinder at Re = 1 and Pr = 0.7. Overall, the complex interplay of governing parameters has been observed in the flow and thermal characteristics.

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[2] Gode A., Sahu A.K., Chhabra R.P., Two-Dimensional Steady Flow Over a Semi-Circular Cylinder: Drag Coefficient and Nusselt Number, Int. J. Adv. Eng. Sci. Appl. Math., 3(1-4): 44-59 (2011).
[4] Pawar A.P., Sarkar S., Saha S.K., Forced Convective Flow and Heat Transfer Past an Unconfined Blunt Headed Cylinder at Different Angles of Incidence, Appl. Math. Modell., 82: 888-915 (2020).
[5] Laidoudi H., Bouzit M., Effect of Thermal Buoyancy on Flow Pattern from a Pair of Side-by-Side Confined Triangular Cylinders, Bangladesh J. Sci. Ind. Res., 55(1): 9-14 (2020).
[6] Meibodi M.E., Anvari A., Javaherdeh K., The Non-Dimensional Analysis of Heat transfer and Fluid Flow in Wavy Mini Channel Heat Exchangers, Iran. J. Chem. Chem. Engg., 41(4): 1370-1380 (2022).
[7] Habibi M.R., Amini M., Arefmanesh A., Ghasemikafrudi E., Effects of Viscosity Variations on Buoyancy-Driven Flow from a Horizontal Circular Cylinder Immersed in Al2O3-Water Nanofluid, Iran. J. Chem. Chem. Engg. (IJCCE), 38(1): 213-232 (2019).
[8] Nada S.A., Mowad M., Free convection from A Vertical and Inclined Semicircular Cylinder at Different Orientations, Alexandria Eng. J., 42(3): 273-282 (2003).
[9] Nada S.A., El-Batsh H., Moawed M., Heat Transfer and Fluid Flow Around Semi-Circular Tube in Cross Flow at Different Orientations, Heat Mass Transfer, 43: 1157-1169 (2007).
[11] Chandra A., Chhabra R.P., Flow Over and Forced Convection Heat Transfer in Newtonian Fluids from a Semi-Circular Cylinder, Int. J. Heat Mass Transf., 54: 225-241 (2011).
[12] Bhinder A.P.S., Sarkar S., Dalal A., Flow Over and Forced Convection Heat Transfer Around a Semi-Circular Cylinder at Incidence, Int. J. Heat Mass Transf., 55: 5171–5184 (2012).
[13] Chandra A., Chhabra R.P., Mixed Convection from a Heated Semi-Circular Cylinder to Power-Law Fluids in the Steady Flow Regime, Int. J. Heat Mass Transf., 55: 214–234 (2012).
[14] Chung H.S., Lee G.H., Nine M.J., Bae K., Jeong H.M., Study on the Thermal and Flow Characteristics on the Periodically Arranged Semi-Circular Ribs in a Rectangular Channel, Exp. Heat Transf., 27: 56–71 (2014).
[15] Sukesan M.K., Dhiman A.K., Laminar Mixed Convection in a Channel with a Built-in Semi-Circular Cylinder under the Effect of Cross-Buoyancy, Int. Commun. Heat Mass Transf., 58: 25–32 (2014).
[16] Kumar A., Dhiman A., Laminar Flow and Heat transfer Phenomena Across a Confined Semicircular Bluff Body at Low Reynolds Numbers, Heat Transf. Eng., 36(18): 1540-1551 (2015).
[17]        Kumar A., Dhiman A., Baranyi L., CFD Analysis of Power-Law Fluid Flow and Heat Transfer Around a Confined Semi-Circular Cylinder, Int. J. Heat Mass Transf., 82: 159-169 (2015).
[18] Parthasarathy N., Dhiman A., Sarkar S., Flow and Heat Transfer over a Row of Multiple Semi-Circular Cylinders: Selection of Optimum Number of Cylinders and Effects of Gap Ratios, Eur. Phys. J. Plus., 132(532): 1-23 (2017).
[20] Gupta R.K., Chandra A., Gupta R.K., Buoyancy-Driven Convective Heat Transfer from a Semi-Circular Cylinder for Various Confinements, Sadhana, 43(182): 1-18 (2018).
[21] Sahu M.K., Pandey K.M., Chatterjee S., Thermo-Hydraulic Performance of Rectangular Channel Roughened with Combined Semi-Circular and Triangular Ribs, Heat Mass Transf., 55: 2889–2900 (2019).
[22] Khoshvaght-Aliabadi M., Arani-Lahtari Z., Forced Convection in Twisted Minichannel (TMC) With Different Cross Section Shapes: A Numerical Study, Appl. Therm. Eng., 93: 101-112 (2016).
[23] Khoshvaght-Aliabadi M., Deldar S., Hassani S.M., Effects of Pin-Fins Geometry and Nanofluid on the Performance of a Pin-Fin Miniature Heat Sink (PFMHS), Int. J. Mech. Sci., 148: 442-458 (2018).
[24]        Srinivas A.T., Bharti R.P., Chhabra R.P., Mixed Convection Heat Transfer from a Cylinder in Power-Law Fluids: Effect of Aiding Buoyancy, Ind. Eng. Chem. Res., 48:9735-9754 (2009).
[25] Chatterjee D., Mondal B., Forced Convection Heat Transfer from an Equilateral Triangular Cylinder at Low Reynolds Numbers, Heat Mass Transf., 48: 1575-1587 (2012).
[26] Chandra A., Chhabra R.P., Momentum and Heat Transfer from a Semi-Circular Cylinder to Power-Law Fluids in the Vortex Shedding Regime, Numer. Heat Tr. A-Appl., 63: 489-510 (2013).
[27] Rao P.K., Sasmal C., Sahu A.K., Chhabra R.P., Eswaran V., Effect of Power-Law Fluid Behavior on Momentum and Heat Transfer Characteristics of an Inclined square Cylinder in Steady Flow Regime, Int. J. Heat Mass Transf., 54: 2854-2867 (2011).
[28] Nirmalkar N., Chhabra R.P., Poole R.J., Laminar Forced Convection Heat Transfer from a Heated Square Cylinder in a Bingham Plastic Fluid, Int. J. Heat Mass Transf., 56: 625-639 (2013).
[29] Hatton A.P., James D.D., Swire H.W., Combined Forced and Natural Convection with Low-Speed Air Flow Over Horizontal Cylinders, J. Fluid Mech., 42(1): 17-31 (1970).
[30] Lacroix M., Carrier R., Mixed Convection Heat Transfer from Vertically Separated Horizontal Cylinders within Confining Walls, Numer. Heat Transf. Part A Appl., 27(4): 487-498 (1995).
[31] Gowda Y.T.K., Narayana P.A.A., Seetharamu K.N., Mixed Convection Heat Transfer Past in-Line Cylinders in a Vertical Duct, Numer. Heat Transf., Part A Appl., 31(5): 551-562 (1997).
[32] Salcedo E., Trevino C., Cajas J.C., Martinez-Suastegui L., Unsteady Mixed Convection from Two Isothermal Semicircular Cylinders in Tandem ArrangementHeat Exchangers: Design, Experiment And Simulation, Intechopen, London, 221-241,  (2017).
[33] Kaur R., Sharma S., Chandra A., Air Flow Around and Through a Permeable Semi-Circular Cylinder, Chem. Eng. Technol., 45(3): 449–455 (2022).
[34] Kaur R., Sharma S., Chandra A., Convective Heat Transfer from a Porous Semi-Circular Obstacle Attached to a Channel Wall, Chem. Eng. Technol., 45(6): 1075–1086 (2022).
[35] Kaur R., Chandra A., Sharma S., Momentum Transfer Across a Semi-Circular Porous Cylinder Attached to a Channel Wall, Meccanica, 56: 2219-2241 (2021).
[37] Rashad A.M., Ismael M.A., Chamkha A.J., Mansour M.A., MHD Mixed Convection of Localized Heat Source/Sink in a Nanofluid-Filled Lid-Driven Square Cavity with Partial Slip, J. Taiwan Inst. Chem. Eng., 68: 173-186 (2016).
[38]Chamkha A. J., Rashad A. M., Mansour M. A., Armaghani T., Ghalambaz M., Effects of Heat Sink and Source and Entropy Generation on MHD Mixed Convection of a Cu-Water Nanofluid in a Lid-Driven Square Porous Enclosure with Partial Slip, Phys. Fluids, 29(5): 1-23 (2017).
[39] Rashad A.M., Sivasankaran S., Mansour M.A., Bhuvaneswari M., Magneto-convection of Nanofluids in a Lid-Driven Trapezoidal Cavity with Internal Heat Generation and Discrete Heating, Numer. Heat Transf. A, 71(12): 1223-1234 (2017).
[40] Jafari A., Shahmohammadi A., Mousavi S.M., CFD Investigation of Gravitational Sedimentation Effect on Heat Transfer of a Nano-Ferrofluid, Iran. J. Chem. Chem. Eng. (IJCCE), 34(1): 87-96 (2015).
[41] Farouk B., Guceri S.I., Natural and Mixed Convection Heat Transfer Around a Horizontal Cylinder Within Confining Walls, Numer. Heat Transf., 5: 329-341 (1982).
[42] Zdravkovich M. M., "Flow Around Circular Cylinders Vol.1: Fundamentals", Oxford University Press, New York, (1997).
[43] Zdravkovich M. M., "Flow Around Circular Cylinders Vol.2: Applications", Oxford University Press, New York, (2003).
[44] Galliano S., Bella F., Piana G., Giaconaa G., Viscardi G., Gerbaldi C., Grätzel M., Barolo C., Finely tuning Electrolytes and Photoanodes in Aqueous Solar Cells by Experimental Design, Sol. Energy, 163: 251-255 (2018).
[45] Xu D., Shen W., Sun S., Chen Y., Lu Z., Meng X., Wang C., Guo L., Liu C., Huang Q., Experimental Design of 1-dodecanol@Methylated Melamine-Formaldehyde Microencapsulated Composite Phase Change Material and the Application in Energy Storage Field, J. Energy Storage, 55: Part A: 1-12 (2022).