Effect of Prandtl Number on Natural Convection in a Rectangular Enclosure with Discrete Heaters

N. Nithyadevi¹, V. Divya This email address is being protected from spambots. You need JavaScript enabled to view it.¹ and M. Rajarathinam¹

¹Department of Mathematics, Bharathiar University, Coimbatore - 641 046, India

REFERENCES

1. [1] Ho, C. J. and Chang, J. Y., “A Study of Natural Convection Heat Transfer in a Vertical Rectangular Enclosure with Two-dimensional Discrete Heating: Effect of Aspect Ratio,” Int. J. Heat Mass Transfer, Vol. 37, No. 6, pp. 917925 (1994). doi: 10.1016/0017-9310(94) 90217-8
2. [2] Aydin, O. and Pop, I., “Natural Convection from a Discrete Heater in Enclosures Filled with a Micropolar Fluid,” Int. J. of Engg. Science, Vol. 43, No. 1920, pp. 1409–1418 (2005). doi: 10.1016/j.ijengsci.2005.06. 005
3. [3] Sivasankaran, S., “Buoyant Convection in a Cavity with Discrete Heat Sources and Internal Heat Generation,” Int. J. of Appl. Math. and Mech., Vol. 2, No. 2, pp. 6374 (2006).
4. [4] Saha, G., Saha, S., Islam, M. Q. and Akhanda, M. A. R., “Natural Convection in Enclosure with Discrete Isothermal Heating from Below,” J. Naval Architecture and Marine Engg., Vol. 4, No. 1, pp. 113 (2007). doi: 10.3329/jname.v4i1.912
5. [5] Nithyadevi, N., Kandaswamy, P. and Lee, J., “Natural Convection in a Rectangular Cavity with Partially Active Side Walls,” Int. J. of Heat and Mass Transfer, Vol. 50, No. 2324, pp. 46884697 (2007). doi: 10. 1016/j.ijheatmasstransfer.2007.03.050
6. [6] Kandaswamy, P., Nithyadevi, N. and Ng, C. O., “Natural Convection in Enclosures with Partially Thermally Active Side Walls Containing Internal Heat Sources,” Phys. of Fluids, Vol. 20, pp. 097104097123 (2008). doi: 10.1063/1.2981834
7. [7] Alam, P., Kumar, A., Kapoor, S. and Ansari, S. R., “Numerical Investigation of Natural Convection in a Rectangular Enclosure Due to Partial Heating and Cooling at Vertical Walls,” Commun. in Nonlinear Sci. Numer. Simulat., Vol. 17, No. 6, pp. 24032414 (2012). doi: 10.1016/j.cnsns.2011.09.004
8. [8] Falahat, A., “Effect of Aspect Ratio on Laminar Natural Convection in Partially Heated Enclosure,” Universal J. Mech. Engg., Vol. 2, No. 1, pp. 2833 (2014). doi: 10.13189/ujme.2014.020104
9. [9] Turan, O., Poole, R. J. and Chakraborty, N., “Influence of Boundary Conditions on Laminar Natural Convection in Rectangular Enclosures with Differentially Heated Side Walls,” Int. J. Heat and Fluid Flow, Vol. 33, No. 1, pp. 131146 (2012). doi: 10.1016/j. ijheatfluidflow.2011.10.009
10. [10] Zaman, F. S., Turja, T. S. and Molla, Md. M., “Buoyancy Driven Natural Convection in an Enclosure with Two Discrete Heating from Below,” Procedia Engg., Vol. 56, pp. 104111 (2013). doi: 10.1016/j.proeng. 2013.03.095
11. [11] Qarnia, H. E., Draoui, A. and Lakhal, E. K., “Computation of Melting with Natural Convection Inside a Rectangular Enclosure Heated by Discrete Protruding Heat Sources,” Appl. Math. Modelling, Vol. 37, No. 6, pp. 3968–3981 (2013). doi: 10.1016/j.apm.2012.08. 021
12. [12] An, C., Vieira, C. B. and Su, J., “Integral Transform Solution of Natural Convection in a Square Cavity with Volumetric Heat Generation,” Braz. J. Chem. Eng., Vol. 30, No. 4, pp. 883896 (2013). doi: 10. 1590/S0104-66322013000400020
13. [13] Ahmed, S. E., Mansour, M. A., Hussein, A. K. and Sivasankaran, S., “Mixed Convection from a Discrete Heat Source in Enclosures with Two Adjacent Moving Walls and Filled with Micropolar Nanofluids,” Int. J. Engg. Science and Technology, Vol. 19, No. 1, pp. 364–376 (2016). doi: 10.1016/j.jestch.2015.08.005
14. [14] Purusothaman, A., Oztop, H. F., Nithyadevi, N. and Abu-Hamdeh, N. H., “3D Natural Convection in a Cubical Cavity with a Thermally Active Heater under the Presence of an External Magnetic Field,” Comp. & Fluids, Vol. 128, pp. 3040 (2016). doi: 10.1016/j. compfluid.2016.01.011
15. [15] Graebel, W. P., “The Influence of Prandtl Number on Free Convection in a Rectangular Cavity,” Int. J. Heat and Mass Transfer, Vol. 24, No. 1, pp. 125131 (1981). doi: 10.1016/0017-9310(81)90100-9
16. [16] Basak, T., Roy, S. and Balakrishnan, A. R., “Effects of Thermal Boundary Conditions on Natural Convection Flows within a Square Cavity,” Int. J. Heat and Mass Transfer, Vol. 49, No. 2324, pp. 45254535 (2006). doi: 10.1016/j.ijheatmasstransfer.2006.05.015
17. [17] Rahman, M. M., Parvin, S., Rahim, N. A., Islam, M. R., Saidur, R. and Hasanuzzaman, M., “Effects of Reynolds and Prandtl Number on Mixed Convection in a Ventilated Cavity with a Heat-generating Solid Circular Block,” Appl. Math. Modelling, Vol. 36, No. 5, pp. 20562066 (2012). doi: 10.1016/j.apm.2011. 08.014
18. [18] Urquiza, G., Castro, L., Garcia, J., Basurtio, M. and Bogarin, E., “Numerical Simulation on Mixed Convection in a Rotating Cylindrical Cavity: Influence of Prandtl Number,” Advances in Mech. Engg., Vol. 2013, pp. 95076659507673 (2013). doi: 10.1155/ 2013/950765
19. [19] Jani, S., Mahmoodi, M. and Amini, M., “Natural Convection at Different Prandtl Numbers in Rectangular Cavities with a Fin on the Cold Wall,” J. Energy: Engg. and Management, Vol. 2, No. 4, pp. 5869 (2012).
20. [20] Lee, J. R. and Park, I. S., “Numerical Analysis for Prandtl Number Depending on Natural Convection in an Enclosure Having an Vertical Thermal Gradient with a Square Insulator Inside,” Nuclear Engg. Tech., Vol. 44, No. 3, pp. 283296 (2012). doi: 10.5516/ NET.02.2011.027
21. [21] Bouabid, M., Hidouri, N., Magherbi, M., Eljery, A. and Brahim, A. B., “Irreversibility Investigation on MHD Natural Convection in a Square Cavity for Different Prandtl Numbers,” World Science Research Journals, Vol. 2, No. 4, pp. 6075 (2014).
22. [22] Patankar, S. V., Numerical Heat Transfer and Fluid Flow, Hemisphere/McGraw-Hill, Washington (1980).
23. [23] Davis, D. V., “Natural Convection of Air in a Square Cavity; a Bench Mark Numerical Solution,” Int. J. Numer. Methods in Fluids, Vol. 3, No. 4, pp. 249264 (1983). doi: 10.1002/fld.1650030305
24. [24] Mobedi, M., Ozkol, U. and Sunden, B., “Visualization of Diffusion and Convection Heat Transport in a Square Cavity with Natural Convection,” Int. J. Heat Mass Transfer, Vol. 53, No. 13, pp. 99109 (2010). doi: 10.1016/j.ijheatmasstransfer.2009.09.048