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Nanofluid flow and heat transfer from heated square cylinder in the presence of upstream rectangular cylinder under Couette-Poiseuille flow

  • Sharma, Swati (Department of Mathematics, Birla Institute of Technology and Science) ;
  • Maiti, Dilip K. (Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University) ;
  • Alam, Md. Mahbub (Institute for Turbulence-Noise-Vibration Interaction and Control, Harbin Institute of Technology (Shenzhen)) ;
  • Sharma, Bhupendra K. (Department of Mathematics, Birla Institute of Technology and Science)
  • Received : 2018.09.07
  • Accepted : 2019.02.28
  • Published : 2019.07.25
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Abstract

A heated square cylinder (with height $A^*$) is kept parallel to the cold wall at a fixed gap height $0.5A^*$ from the wall. Another adiabatic rectangular cylinder (of same height $A^*$ and width $0.5A^*$) is placed upstream in an inline tandem arrangement. The spacing between the two cylinders is fixed at $3.0A^*$. The inlet flow is taken as Couette-Poiseuille flow based non-linear velocity profile. The conventional fluid (also known as base fluid) is chosen as water (W) whereas the nanoparticle material is selected as $Al_2O_3$. Numerical simulations are performed by using SIMPLE algorithm based Finite Volume approach with staggered grid arrangement. The dependencies of hydrodynamic and heat transfer characteristics of the cylinder on non-dimensional parameters governing the nanofluids and the fluid flow are explored here. A critical discussion is made on the mechanism of improvement/reduction (due to the presence of the upstream cylinder) of heat transfer and drag coefficient, in comparison to those of an isolated cylinder. It is observed that the heat transfer increases with the increase in the non-linearity in the incident velocity profile at the inlet. For the present range studied, particle concentration has a negligible effect on heat transfer.

Keywords

Acknowledgement

Supported by : DST

References

  1. Ahmed, H.E., Mohammed, H.A. and Yusoff, M.Z. (2012), "An overview on heat transfer augmentation using vortex gen- erators and nanofluids: approaches and applications", Renew. Sust. Energ. Rev., 16(8), 5951-5993. https://doi.org/10.1016/j.rser.2012.06.003.
  2. Alam, M.M., Moriya, M., Takai, K. and Sakamoto, H. (2002), "Suppression of fluid forces acting on two square prisms in tandem arrangement by passive control of flow", J. Fluid. Struct., 16(8), 1073-1092. https://doi.org/10.1006/jfls.2002.0458.
  3. Alam, M.M., Sakamoto H. and Zhou, Y. (2006), "Effect of a T-shaped plate on reduction in fluid forces acting on two tandem circular cylinders in a cross-flow", J. Wind Eng. Ind. Aerod., 94(7), 525-551. https://doi.org/10.1016/j.jweia.2006.01.018.
  4. Alam, M.M., Sakamoto, H. and Moriya, M. (2003), "Reduction of fluid forces acting on a single circular cylinder and two circular cylinders by using tripping rods", J. Fluid. Struct. 18(3-4), 347-366. https://doi.org/10.1016/j.jfluidstructs.2003.07.011.
  5. Alam, M.M., Zhou, Y., Zhao, J.M., Flamand, O. and Buojard, O. (2010), "Classification of the tripped cylinder wake and bi-stable phenomenon", Int. J. Heat Fluid Fl., 31(4), 545-560. https://doi.org/10.1016/j.ijheatfluidflow.2010.02.018.
  6. Alam, M.M., Elhimer, M., Longjun, W., Jacono, D.L. and Wong, C.W. (2018), "Vortex shedding from tandem cylinders", Exp. Fluids, 59-60, 1-17. https://doi.org/10.1007/s00348-017-2450-7
  7. Bhatt, R., Maiti, D., Alam, M.M. and Rehman, S. (2018), "Couette-Poiseuille flow based on non-linear flow over a square cylinder near plane wall", Wind Struct., 26(5), 331-341. https://doi.org/10.12989/was.2018.26.5.331.
  8. Bhattacharyya, S. and Maiti, D.K. (2004), "Shear flow past a square cylinder near a wall", Int. J. Eng. Sci., 42(19-20), 2119-2134. https://doi.org/10.1016/j.ijengsci.2004.04.007.
  9. Chatterjee, D. and Mondal, C. (2012), "Forced convection heat transfer from tandem square cylinders for various spacing ratios", Numer. Heat Transfer, Part A, 61(5), 381-400. https://doi.org/10.1080/10407782.2012.647985.
  10. Choi, S.U.S. (1995), "Enhancing thermal conductivity of fluid with nanoparticles in development and applications of nonnewtonian flows", ASME J. Heat Transf., 66, 99-105.
  11. Devarakonda, R. and Humphrey, J.A.C. (1992), "Interactive computational-experimental methodologies in cooling of electronic components, Computer Mechanics Laboratory", Technical Report No.92-008, University of California, Berkeley.
  12. Eastman, J.A., Phillpot, S.R., Choi, S.U.S. and Keblinski, P. (2004), "Thermal transport in nanofluids", Annu. Rev. Mater. Res., 34, 219-246. https://doi.org/10.1146/annurev.matsci.34.052803.090621
  13. Escher, W., Brunschwiler, T., Shalkevich, N., Shalkevich, A., Burgi, T., Michel, B. and Poulikakos, D. (2011), "On the cooling of electronics with nanofluids", J. Heat Transf., 133(5), 051401. doi:10.1115/1.4003283.
  14. Etminan, A., Moosavi, M. and Ghaedsharafi, N. (2011), "Determination of flow configurations and fluid forces acting on two tandem square cylinders in cross flow and its wake pattern", Int. J. Mechanics, 5, 63-74.
  15. Etminan, F.V., Ebrahimnia, E., Niazmand, H. and Wongwises, S. (2012), "Unconfined laminar nanofluid flow and heat transfer around a square cylinder", Int. J. Heat Mass Transfer, 55(5-6), 1475-1485. https://doi.org/10.1016/j.ijheatmasstransfer.2011.10.030.
  16. Haddad, Z., Abu-Nada, E., Hakan, F.O. and Mataoui, A. (2012), "Natural convection in nanofluids: Are the thermophoresis and Brownian motion effects significant in nanofluid heat transfer enhancement", Int. J. Ther. Sci., 57, 152-162. https://doi.org/10.1016/j.ijthermalsci.2012.01.016.
  17. Hwang, K.S, Lee, J.H and Jang S.P. (2007), "Buoyancy-driven heat transfer of water-based $Al_2O_3$ nanofluids in a rectangular cavity", Int. J. Heat Mass Transfer, 50(19-20), 4003-4010. https://doi.org/10.1016/j.ijheatmasstransfer.2007.01.037.
  18. Kim, S., Alam, M.M. and Maiti, D.K. (2018), "Wake and suppression of flow-induced vibration of a circular cylinder", Ocean Eng., 151, 298-307. https://doi.org/10.1016/j.oceaneng.2018.01.043.
  19. Kim, S., Alam, M.M. and Russel, M. (2016), "Aerodynamics of a cylinder in the wake of a V-shaped object", Wind Struct., 23(2), 143-155. http://dx.doi.org/10.12989/was.2016.23.2.143.
  20. Lee, S., Choi, S.U.S. and Li, S. and Eastman, J.A. (1999), "Measuring thermal conductivity of fluids containing oxide nanoparticles", J. Heat Transfer, 121(2), 280-289. doi:10.1115/1.2825978.
  21. Leonard, B.P. (1979), "A stable and accurate convective modeling procedure based on quadratic upstream interpolation", Comput. Method. Appl. M., 19(1), 59-98. https://doi.org/10.1016/0045-7825(79)90034-3.
  22. Maiti, D.K. (2012), "Aerodynamic characteristics of rectangular cylinders near a wall", Ocean Eng., 54, 251-260. https://doi.org/10.1016/j.oceaneng.2012.07.012
  23. Maiti, D.K. and Bhatt, R. (2015), "Interactions of vortices of a square cylinder and a rectangular vortex generator under Couette-Poiseuille flow", J. Fluid. Eng. T ASME, 137(5), 051203-051203-22. doi: 10.1115/1.4029631.
  24. Maiti, D.K., Bhatt, R. and Alam, M.M. (2016), "Aerodynamic forces on square cylinder due to secondary flow by rectangular vortex generator in offset tandem: comparison with Inline", Comput. Fluids, 134-135, 157-176. https://doi.org/10.1016/j.compfluid.2016.05.005.
  25. Nguyen, C.T., Roy, G., Gauthier, C. and Galanis, N. (2007), "Heat transfer enhancement using $Al_2O_3$-water nanofluid for an electronic liquid cooling system", Appl. Thermal Eng., 27(8-9), 1501-1506. https://doi.org/10.1016/j.applthermaleng.2006.09.028.
  26. Patankar, S.V. (1980), "Numerical heat transfer and fluid flow", Hemisphere Publishing Corporation, Taylor and Francis Group, New York.
  27. Sarkar, S. and Ganguly, S. (2012), "Analysis of entropy generation during mixed convective heat transfer of nanofluids past a square cylinder in vertically upward flow", J. Heat Transfer, 134(12), 122501. doi:10.1115/1.4007411.
  28. Sarkar, S., Ganguly, S. and Biswas, G. (2012), "Mixed convective heat transfer of nanofluids past a circular cylinder in cross flow in unsteady regime", Int. J. Heat Mass Transfer, 55(17-18), 4783-4799. https://doi.org/10.1016/j.ijheatmasstransfer.2012.04.046.
  29. Sarkar, S., Ganguly, S. and Dalal, A. (2013), "Buoyancy-driven flow and heat transfer of nanofluids past a square cylinder in vertically upward flow", Int. J. Heat Mass Transfer, 59, 433-450. https://doi.org/10.1016/j.ijheatmasstransfer.2012.12.032.
  30. Sarkar, S., Ganguly, S., Biswas, G. and Saha, P. (2016), "Effect of cylinder rotation during mixed convective flow of nanofluids past a circular cylinder", Comput. Fluids, 127, 47-64. https://doi.org/10.1016/j.compfluid.2015.12.013.
  31. Sarkar, S., Ganguly, S., Dalal, A., Saha, P. and Chakraborty, S. (2013), "Mixed convective flow stability of nanofluids past a square cylinder by dynamic mode decomposition", Int. J. Heat Fluid Fl., 44, 624-634. https://doi.org/10.1016/j.ijheatfluidflow.2013.09.004.
  32. Sharma, S., Maiti, D.K., Alam, M.M. and Sharma, B.K. (2018), "Nanofluid ($H_2O-Al_2O_3/CuO$) flow over a heated square cylinder near a wall under the incident of Couette flow", J. Mech. Sci. Tech., 32(2), 659-670. https://doi.org/10.1007/s12206-018-0113-5
  33. Shuja, S.Z., Yilbas, B.S. and Budair, M.O. (2001), "Vortex shedding over a rectangular cylinder with ground effect: flow and heat transfer characteristics", Int. J. Heat Fluid Fl., 12, 916-939.
  34. Sohankar, A. and Etminan, A. (2009), "Forced-convection heat transfer from tandem square cylinders in cross flow at low Reynolds numbers", Int. J. Numer. Meth. Fl., 60(7), 733-751. https://doi.org/10.1002/fld.1909.
  35. Talebi, F., Houshang, A.M. and Shahi, M. (2010), "Numerical study of mixed convection flow in a square lid driven cavity utilizing nanofluids", Int. J. Heat Mass Transfer, 37(1), 79-90. https://doi.org/10.1016/j.icheatmasstransfer.2009.08.013.
  36. Tatsutani, R., Devarakonda, R. and Humphrey, J.A.C. (1993), "Unsteady flow and heat transfer for cylinder pairs in a channel", Int. J. Heat Mass Transfer, 36(13), 3311-3328. https://doi.org/10.1016/0017-9310(93)90013-V.
  37. Valipour, M.S. and Ghadi, A.Z. (2011), "Numerical investigation of fluid flow and heat transfer around a solid circular cylinder utilizing nanofluid", Int. Commun. Heat Mass Transfer, 38(9), 1296-1304. https://doi.org/10.1016/j.icheatmasstransfer.2011.06.007.
  38. Wang, Q. and Jaluria, Y. (2002), "Unsteady mixed convection in a horizontal channel with protruding heated blocks and a rectangular vortex promoter", Phys. Fluids, 14(7), 2113-2127. https://doi.org/10.1063/1.1480832.
  39. Yang, R.J. and Fu, L.M. (2001), "Thermal and flow analysis of a heated electronic component", Int. J. Heat Mass Transfer, 44(12), 2261-2275. https://doi.org/10.1016/S0017-9310(00)00265-9.
  40. Yang, Y., Zhang, Z.G., Grulke, E.A., Anderson, W.B. and Wu, G. (2005), "Heat transfer properties of nanoparticle-in-fluid dispersions (nanofluids) in laminar flow", Int. J. Heat Mass Transfer, 48(6), 1107-1116. https://doi.org/10.1016/j.ijheatmasstransfer.2004.09.038.
  41. Zafar, F. and Alam, M.M. (2018), "A low Reynolds number flow and heat transfer topology of a cylinder in a wake", Phys. Fluids, 30(8), 083603. https://doi.org/10.1063/1.5035105.

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