Numerical investigation of cu-water nanofluid in a differentially heated square cavity with conducting solid square cylinder at center

Numerical investigation of cu-water nanofluid in a differentially heated square cavity with conducting solid square cylinder at center

Bishwajit SharmaBasant Kumar Rabindra Nath Barman 

Department of Mechanical Engineering, National Institute of Technology Durgapur, West Bengal 713209, India

Corresponding Author Email: 
sharmabishwajit93@gmail.com
Page: 
714-722
|
DOI: 
https://doi.org/10.18280/ijht.360238
Received: 
22 December 2017
| |
Accepted: 
6 April 2018
| | Citation

OPEN ACCESS

Abstract: 

The Present study is an endeavor to laminar flow heat transfer of Cu-water nanofluid inside a square cavity. The cavity is heated by different length heaters with isothermal boundary condition placed symmetrically on two adjacent sides. The moving lid has low temperature and rest of the boundaries are insulated. A thermally conducting solid cylinder is placed at the center of the cavity. The effect of different parameters, nanoparticles volume fraction (0 - 0.08), Richardson Number (0.01-10) on the fluid flow and temperature fields have been studied. The average Nusselt number increases with the increase in nanoparticle concentration and size of the heater. The effect of concentration of nanoparticles reduces with decrease in Richardson Number.

Keywords: 

fluent, lid driven cavity, nanofluids, nanoparticles, conducting cylinder

1. Introduction
2. Mathematical Formulation and Modelling
3. Numerical Analysis and Validation
4. Results and Discussions
5. Conclusion
Acknowledgement
Nomenclature
  References

[1] Brinkman HC. (1952). The viscosity of concentrated suspensions and solutions. The Journal of Chemical Physics 20(4): 571-571. http://dx.doi.org/10.1063/1.1700493

[2] Maxwell JC. (1873). Electricity and Magnetism Clarendon Press.

[3] Choi SUS, Jeffrey A. (1995). Eastman. Enhancing thermal conductivity of fluids with nanoparticles. No. ANL/MSD/CP--84938; CONF-951135--29. Argonne National Lab., IL, United States.

[4] Chao PKB, et al. (1983). Laminar natural convection in an inclined rectangular box with the lower surface half-heated and half-insulated. Journal of heat transfer 105(3): 425-432. http://dx.doi.org/10.1115/1.3245602

[5] Chu HHS, Churchill SW, Patterson CVS. (1976). The effect of heater size, location, aspect ratio, and boundary conditions on two-dimensional, laminar, natural convection in rectangular channels. Journal of Heat Transfer 98(2): 194-201. http://dx.doi.org/10.1115/1.3450518

[6] Oztop HF, Eiyad AN. (2008). Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids. International Journal of Heat and Fluid Flow 29(5): 1326-1336. http://dx.doi.org/10.1016/j.ijheatfluidflow.2008.04.009

[7] Hasnaoui M, Bilgen E, Vasseur P. (1992). Natural convection heat transfer in rectangular cavities partially heated from below. Journal of Thermophysics and Heat Transfer 6. http://dx.doi.org/10.2514/3.353

[8] Ahmed GR, Yovanovich M. (1992). Numerical study of natural convection from discrete heat sources in a vertical square enclosure. Journal of Thermophysics and Heat Transfer 6(1): 121-127. http://dx.doi.org/10.2514/3.326

[9] Türkoglu H, Nuri Y. (995). Effect of heater and cooler locations on natural convection in square cavities. Numerical Heat Transfer, Part A: Applications 27(3): 351-358.

[10] Aydin O, Yang WJ. (2000). Natural convection in enclosures with localized heating from below and symmetrical cooling from sides. International Journal of Numerical Methods for Heat & Fluid Flow 10(5): 518-529. http://dx.doi.org/10.1108/09615530010338196

[11] Nasr KB, et al. (2006). Numerical study of the natural convection in cavity heated from the lower corner and cooled from the ceiling. Applied Thermal Engineering 26(7): 772-775.

[12] Ishihara I, Fukui T, Matsumoto R. (2002). Natural convection in a vertical rectangular enclosure with symmetrically localized heating and cooling zones. International Journal of Heat and Fluid Flow 23(3): 366-372. http://dx.doi.org/10.1016/S0142-727X(02)00184-4

[13] Varol Y, Ahmet K, Hakan FO. (2006). Natural convection in a triangle enclosure with flush mounted heater on the wall. International Communications in Heat and Mass Transfer 33(8): 951-958. http://dx.doi.org/10.1016/j.icheatmasstransfer.2006.05.003

[14] Koca A, Hakan FO, Yasin V. (2007). The effects of Prandtl number on natural convection in triangular enclosures with localized heating from below. International Communications in Heat and Mass Transfer 34(4): 511-519. http://dx.doi.org/10.1016/j.icheatmasstransfer.2007.01.006

[15] Farouk BAKHTIER, Fusegi TORU. (1989). Natural convection of a variable property gas in asymmetrically heated square cavities. J. Thermophy. Heat Transfer 3. http://dx.doi.org/10.2514/3.130

[16] Fluent A. (2009). 12.0 Theory Guide. Ansys Inc 5.

[17] Talebi F, Amir HM, Mina S. (2010). Numerical study of mixed convection flows in a square lid-driven cavity utilizing nanofluid. International Communications in Heat and Mass Transfer 37(1): 79-90. http://dx.doi.org/10.1016/j.icheatmasstransfer.2009.08.013 

[18] De Vahl DG. (1983). Natural convection of air in a square cavity: a bench mark numerical solution. International Journal for Numerical Methods in Fluids 3(3): 249-264. http://dx.doi.org/10.1002/fld.1650030305

[19] Ahrar AJ, Djavareshkian MH, Ataiyan M. (2017). Numerical simulation of Cu-water nanofluid magneto-hydro-dynamics and heat transfer cavity containing a circular cylinder of different size and positions. International Journal of Heat and Technology 35. http://dx.doi.org/10.18280/ijht.350225