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Research Papers

Laminar Mixed Convection of Non-Newtonian Nanofluids Flowing Vertically Upward Across a Confined Circular Cylinder

[+] Author and Article Information
Abhipsit Kumar Singh

Department of Chemical Engineering,
Indian Institute of Technology,
Guwahati 781039, Assam, India

Nanda Kishore

Department of Chemical Engineering,
Indian Institute of Technology,
Guwahati 781039, Assam, India
e-mails: nkishore@iitg.ernet.in;
mail2nkishore@gmail.com

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS. Manuscript received April 18, 2017; final manuscript received January 10, 2018; published online May 7, 2018. Assoc. Editor: Srinath V. Ekkad.

J. Thermal Sci. Eng. Appl 10(4), 041012 (May 07, 2018) (14 pages) Paper No: TSEA-17-1121; doi: 10.1115/1.4039300 History: Received April 18, 2017; Revised January 10, 2018

Numerical results on laminar mixed convective heat transfer phenomenon between a confined circular cylinder and shear-thinning type nanofluids are presented. The cylinder is placed horizontally in a confined channel through which nanofluids flow vertically upward. The effect of buoyancy is same as the direction of the flow. Because of existence of mixed convection, governing continuity, momentum, and energy equations are simultaneously solved within the limitations of Boussinesq approximation. The ranges of parameters considered are: volume fraction of nanoparticles, ϕ = 0.005–0.045; Reynolds number, Re = 1–40; Richardson number, Ri = 0–40; and confinement ratio of circular cylinder, λ = 0.0625–0.5. Finally, the effects of these parameters on the streamlines, isotherm contours, individual and total drag coefficients, and local and average Nusselt numbers are thoroughly delineated. The individual and total drag coefficients decrease with the increasing both ϕ and Re; and/or with the decreasing both Ri and λ. The rate of heat transfer increases with the increasing Re, ϕ, Ri, and λ; however, at Re = 30–40, when ϕ > 0.005 and Ri < 2, the average Nusselt number decreases with the increasing Richardson number. Finally, correlations for the total drag coefficient and average Nusselt number are proposed as functions of pertinent dimensionless parameters on the basis of present numerical results.

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References

Lee, S. , Choi, S. U. S. , Li, S. , and Eastman, J. A. , 1999, “Measuring Thermal Conductivity of Fluids Containing Oxide Nanoparticles,” ASME J. Heat Transfer, 121(2), pp. 280–289. [CrossRef]
Eastman, J. A. , Phillpot, S. R. , Choi, S. U. S. , and Keblinski, P. , 2004, “Thermal Transport in Nanofluids,” Annu. Rev. Mater. Res., 34(1), pp. 219–246. [CrossRef]
Choi, S. U. S. , and Eastman, J. A. , 1995, “Enhancing Thermal Conductivity of Fluids With Nanoparticles,” International Mechanical Engineering Congress and Exhibition, San Francisco, CA, Nov. 12–17.
Kishore, N. , and Gu, S. , 2011, “Momentum and Heat Transfer Phenomena of Spheroid Particles at Moderate Reynolds and Prandtl Numbers,” Int. J. Heat Mass Transfer, 54(11–12), pp. 2595–2601. [CrossRef]
Reddy, C. R. , and Kishore, N. , 2014, “Momentum and Heat Transfer Phenomena of Confined Spheroid Particles in Power-Law Liquids,” Ind. Eng. Chem. Res., 53(2), pp. 989–998. [CrossRef]
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(1), pp. 433–450. [CrossRef]
Abu-Nada, E. , Ziyad, K. , Saleh, M. , and Ali, Y. , 2008, “Heat Transfer Enhancement in Combined Convection Around a Horizontal Cylinder Using Nanofluids,” ASME J. Heat Transfer, 130(8), p. 084505. [CrossRef]
Cianfrini, M. , Corcione, M. , and Quintino, A. , 2011, “Natural Convection Heat Transfer of Nanofluids in Annular Spaces Between Horizontal Concentric Cylinders,” Appl. Therm. Eng., 31(17–18), pp. 4055–4063. [CrossRef]
Sarkar, S. , Ganguly, S. , and Dalal, A. , 2012, “Analysis of Entropy Generation During Mixed Convective Heat Transfer of Nanofluids Past a Square Cylinder in Vertically Upward Flow,” ASME J. Heat Transfer, 134(12), p. 122501. [CrossRef]
Ho, C. J. , Chen, M. W. , and Li, Z. W. , 2008, “Numerical Simulation of Natural Convection of Nanofluid in a Square Enclosure: Effects Due to Uncertainties of Viscosity and Thermal Conductivity,” Int. J. Heat Mass Transfer, 51(17–18), pp. 4506–4516. [CrossRef]
Heris, S. Z. , Etemad, S. G. , and Esfahany, M. N. , 2006, “Experimental Investigation of Oxide Nanofluids Laminar Flow Convective Heat Transfer,” Int. Commun. Heat Mass Transfer, 33(4), pp. 529–535. [CrossRef]
Tseng, W. J. , and Lin, K. C. , 2003, “Rheology and Colloidal Structure of Aqueous TiO2 Nanoparticle Suspensions,” Mater. Sci. Eng. A, 355(1–2), pp. 186–192. [CrossRef]
Pastoriza-Gallego, M. J. , Lugo, L. , Legido, J. L. , and Pineiro, M. M. , 2011, “Rheological Non-Newtonian Behaviour of Ethylene Glycol-Based Fe2O3 Nanofluids,” Nanoscale Res. Lett., 6(1), p. 560. [CrossRef] [PubMed]
Wang, X.-Q. , and Mujumdar, A. S. , 2007, “Heat Transfer Characteristics of Nanofluids: A Review,” Int. J. Therm. Sci., 46(1), pp. 1–19. [CrossRef]
Kakaç, S. , and Pramuanjaroenkij, A. , 2009, “Review of Convective Heat Transfer Enhancement With Nanofluids,” Int. J. Heat Mass Transfer, 52(13–14), pp. 3187–3196. [CrossRef]
Hussien, A. A. , Abdullah, M. Z. , and Al-Nimr, M. A. , 2016, “Single-Phase Heat Transfer Enhancement in Micro/Minichannels Using Nanofluids: Theory and Applications,” Appl. Energy, 164, pp. 733–755. [CrossRef]
Vanaki, S. M. , Ganesan, P. , and Mohammed, H. A. , 2016, “Numerical Study of Convective Heat Transfer of Nanofluids: A Review,” Renewable Sustainable Energy Rev., 54, pp. 1212–1239. [CrossRef]
Putra, N. , Roetzel, W. , and Das, S. K. , 2003, “Natural Convection of Nano-Fluids,” Heat Mass Transfer, 39(8–9), pp. 775–784. [CrossRef]
Wen, D. , and Ding, Y. , 2006, “Natural Convective Heat Transfer of Suspensions of Titanium Dioxide Nanoparticles (Nanofluids),” IEEE Trans. Nanotechnol., 5(3), pp. 220–227. [CrossRef]
Ho, C. J. , Wu, M. S. , and Jou, J. B. , 1990, “Analysis of Buoyancy-Aided Convection Heat Transfer From a Horizontal Cylinder in a Vertical Duct at Low Reynolds Number,” Wäarme- Stoffübertrag., 25(6), pp. 337–343. [CrossRef]
Rashad, A. M. , Chamkha, A. J. , and Modather, M. , 2013, “Mixed Convection Boundary-Layer Flow Past a Horizontal Circular Cylinder Embedded in a Porous Medium Filled With a Nanofluid Under Convective Boundary Condition,” Comput. Fluids, 86, pp. 380–388. [CrossRef]
Maïga, S. E. B. , Nguyen, C. T. , Galanis, N. , and Roy, G. , 2004, “Heat Transfer Behaviours of Nanofluids in a Uniformly Heated Tube,” Superlattices Microstruct., 35(3–6), pp. 543–557. [CrossRef]
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), pp. 4783–4799. [CrossRef]
Santra, A. K. , Sen, S. , and Chakraborty, N. , 2009, “Study of Heat Transfer Due to Laminar Flow of Copper-Water Nanofluid Through Two Isothermally Heated Parallel Plates,” Int. J. Therm. Sci., 48(2), pp. 391–400. [CrossRef]
Singh, A. K. , Harinadha, G. , Kishore, N. , Barua, P. , Jain, T. , and Joshi, P. , 2015, “Mixed Convective Heat Transfer Phenomena of Circular Cylinders to Non-Newtonian Nanofluids Flowing Upward,” Procedia Eng., 127, pp. 118–125. [CrossRef]
Hamilton, R. L. , and Crosser, O. K. , 1962, “Thermal Conductivity of Heterogeneous Two-Component Systems,” Ind. Eng. Chem. Fundam., 1(3), pp. 187–191. [CrossRef]
Singh, A. K. , and Kishore, N. , 2017, “Mixed Convection of Shear-Thinning Nanofluids Past Unconfined Elliptical Cylinders in Vertical Upward Flow,” Int. J. Therm. Sci., 122, pp. 326–358. [CrossRef]
Tiwari, A. K. , and Chhabra, R. P. , 2015, “Mixed Convection in Power-Law Fluids From a Heated Semicircular Cylinder: Effect of Aiding Buoyancy,” Numer. Heat Transfer, Part A, 67(3), pp. 330–356. [CrossRef]
Sarkar, S. , Dalal, A. , and Biswas, G. , 2011, “Unsteady Wake Dynamics and Heat Transfer in Forced and Mixed Convection Past a Circular Cylinder in Cross Flow for High Prandtl Numbers,” Int. J. Heat Mass Transfer, 54(15–16), pp. 3536–3551. [CrossRef]
Srinivas, A. T. , Bharti, R. P. , and Chhabra, R. P. , 2009, “Mixed Convection Heat Transfer From a Cylinder in Power-Law Fluids: Effect of Aiding Buoyancy,” Ind. Eng. Chem. Res., 48(21), pp. 9735–9754. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

(a) Pictorial representation of computational domain, zoomed view of mesh around confined circular cylinders with (b) λ = 0.5, and (c) λ = 0.25

Grahic Jump Location
Fig. 2

Streamline patterns around circular cylinders of λ = 0.5 and λ = 0.0625 in nanofluids with ϕ = 0.005 at Re = 1, 20, 40 for Richardson numbers, Ri = 0, 1, 5, 10, 20, 40

Grahic Jump Location
Fig. 3

Streamline patterns around circular cylinders of λ = 0.5 and λ = 0.0625 in nanofluids with ϕ = 0.045 at Re = 1, 20, 40 for Richardson numbers, Ri = 0, 1, 5, 10, 20, 40

Grahic Jump Location
Fig. 4

Cd of confined circular cylinders for different values of Re, Ri, λ, and ϕ

Grahic Jump Location
Fig. 5

Isotherm contours around circular cylinders of λ = 0.5 and λ = 0.0625 in nanofluids with ϕ = 0.005 at Re = 1, 20, 40 for Richardson numbers, Ri = 0, 1, 5, 10, 20, 40

Grahic Jump Location
Fig. 6

Isotherm contours around circular cylinders of λ = 0.5 and λ = 0.0625 in nanofluids with ϕ = 0.045 at Re = 1, 20, 40 for Richardson numbers, Ri = 0, 1, 5, 10, 20, 40

Grahic Jump Location
Fig. 7

Variation of local Nusselt number along the surface of circular cylinders for different values of Ri, ϕ, and λ at Re = 1

Grahic Jump Location
Fig. 8

Variation of local Nusselt number along the surface of circular cylinders for different values of Ri, ϕ, and λ at Re = 40

Grahic Jump Location
Fig. 9

Nuavg of confined circular cylinders for different values of Re, Ri, ϕ, and λ

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