Optimizing Baffle Length for Mixed Convective Flow Within a Ventilated Square Cavity with Discrete Heat Sources Mounted at Side Walls

Document Type : Full Length Research Article

Authors

1 Department of Mechanical Engineering, Shahjalal University of Science and Technology, Sylhet, 3114, Bangladesh

2 Department of Mechanical Engineering, Bangladesh University of Engineering and Technology, Dhaka, 1000, Bangladesh

Abstract

Mixed convection within a ventilated square cavity with a baffle at the bottom wall and heating elements at the side walls has been analyzed. The inlet opening has been set at the bottom of the left wall, while the exit opening is put at the bottom of the right wall. Considering air (Pr = 0.71), dimensionless and steady form of mass, momentum and energy equations are solved by implementing proper boundary conditions with the help of the Galerkin method-based finite element scheme. Maintaining pure mixed convection (Ri = 1), baffle length is changed from 0 to 0.95L, and heater location is varied from 0.1L to 0.7L across Re = 10 to 1000. Qualitative changes of the domain are observed with the help of streamlining and isothermal plots. For quantitative comparison, average temperature, Nusselt number, pressure drop and performance index have been considered. The counteracting effects of the increase in Nusselt number and pressure drop are accounted for together with the help of the performance index, which yielded the most economical and optimum baffle height and heater location. The final evaluation shows that the optimum length of the baffle and the position of the heaters can perform most effectively in the range of Re = 20 – 400.

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References

[1]   Cengel, Y. A., and Ghajar, A. J. 2015. Heat and Mass Transfer, New York, McGraw-Hill Education.
[2]   Gebhart, B., 1979. The 1978 Freeman Scholar Lecture: Buoyancy Induced Fluid Motions Characteristic of Applications in Technology. Journal of Fluids Engineering, 101, pp.5-28.
[3]   Iyican, L., Witte, L. C., and BayazitogˇLu, Y., 1980. An Experimental Study of Natural Convection in Trapezoidal Enclosures. Journal of Heat Transfer, 102, pp.648-653.
[4]   De Vahl Davis, G., 1983. Natural convection of air in a square cavity: A bench mark numerical solution. International Journal for Numerical Methods in Fluids, 3, pp.249-264.
[5]   Karyakin, Y. E., Sokovishin, Y. A., and Martynenko, O. G., 1988. Transient natural convection in triangular enclosures. International Journal of Heat and Mass Transfer, 31, pp.1759-1766.
[6]   Ostrach, S., 1988. Natural Convection in Enclosures. Journal of Heat Transfer, 110, pp.1175-1190.
[7]   Kuyper, R. A., Van Der Meer, T. H., Hoogendoorn, C. J., and Henkes, R. a. W. M., 1993. Numerical study of laminar and turbulent natural convection in an inclined square cavity. International Journal of Heat and Mass Transfer, 36, pp.2899-2911.
[8]   Leong, W. H., Hollands, K. G. T., and Brunger, A. P., 1999. Experimental Nusselt numbers for a cubical-cavity benchmark problem in natural convection. International Journal of Heat and Mass Transfer, 42, pp.1979-1989.
[9]   Singh, S., and Sharif, M. a. R., 2003. MIXED CONVECTIVE COOLING OF A RECTANGULAR CAVITY WITH INLET AND EXIT OPENINGS ON DIFFERENTIALLY HEATED SIDE WALLS. Numerical Heat Transfer, Part A: Applications, 44, pp.233-253.
[10] Calcagni, B., Marsili, F., and Paroncini, M., 2005. Natural convective heat transfer in square enclosures heated from below. Applied Thermal Engineering, 25, pp.2522-2531.
[11] Raji, A., and Hasnaoui, M., 1998. Mixed convection heat transfer in a rectangular cavity ventilated and heated from the side. Numerical Heat Transfer, Part A: Applications, 33, pp.533–548.
[12] Angirasa, D., 2000. Mixed convection in a vented enclosure with an isothermal vertical surface. Fluid Dynamics Research, 26, pp.219–233.
[13] Chen, C. L., and Cheng, C. H., 2004. Experimental and numerical study of mixed convection and flow pattern in a lid-driven arc-shape cavity. Heat and Mass Transfer, 41, pp.58–66.
[14] Saha, S., Mamun, A. H., Hossain, M. Z., and Islam, A. K. M. S., 2008. Mixed Convection in an Enclosure with Different Inlet and Exit Configurations. Journal of Applied Fluid Mechanics, 1, pp.78–93.
[15] Chamkha, A. J., Hussain, S. H., and Abd-Amer, Q. R., 2011. Mixed convection heat transfer of air inside a square vented cavity with a heated horizontal square cylinder. Numerical Heat Transfer, Part A: Applications, 59, pp.58–79.
[16] Rahman, M. M., Parvin, S., Saidur, R., and Rahim, N. A., 2011. Magnetohydrodynamic mixed convection in a horizontal channel with an open cavity. International Communications in Heat and Mass Transfer, 38, pp.184–193.
[17] Ajmera, S. K., and Mathur, A. N., 2015. Experimental investigation of mixed convection in multiple ventilated enclosure with discrete heat sources. Experimental Thermal and Fluid Science, 68, pp.402–411.
[18] Garoosi, F., Bagheri, G., and Rashidi, M. M., 2015. Two phase simulation of natural convection and mixed convection of the nanofluid in a square cavity. Powder Technology, 275, pp.239–256.
[19] Burgos, J., Cuesta, I., and Salueña, C., 2016. Numerical study of laminar mixed convection in a square open cavity. International Journal of Heat and Mass Transfer, 99, pp.599–612.
[20] Mehryan, S. a. M., Izadpanahi, E., Ghalambaz, M., and Chamkha, A. J., 2019. Mixed convection flow caused by an oscillating cylinder in a square cavity filled with Cu–Al2O3/water hybrid nanofluid. Journal of Thermal Analysis and Calorimetry, 137, pp.965–982.
[21] Çolak, E., Ekici, Ö., and Öztop, H. F., 2021. Mixed convection in a lid-driven cavity with partially heated porous block. International Communications in Heat and Mass Transfer, 126, p.105450.
[22] Ruvo, T. H., Saha, S., Mojumder, S., and Saha, S., 2023. Mixed convection in an open T-shaped cavity utilizing the effect of different inflow conditions with Al2O3-water nanofluid flow. Results in Engineering, 17, p.100862.
[23] Kotcioǧlu, I., Ayhan, T., Olgun, H., and Ayhan, B., 1998. Heat transfer and flow structure in a rectangular channel with wing-type vortex generator. Turkish Journal of Engineering and Environmental Sciences, 22, pp.185–195.
[24] Valencia, A., and Sen, M., 2003. Unsteady flow and heat transfer in plane channels with spatially periodic vortex generators. International Journal of Heat and Mass Transfer, 46, pp.3189–3199.
[25] Karwa, R., Maheshwari, B. K., and Karwa, N., 2005. Experimental study of heat transfer enhancement in an asymmetrically heated rectangular duct with perforated baffles. International Communications in Heat and Mass Transfer, 32, pp.275–284.
[26] Radhakrishnan, T. V., Joseph, G., Balaji, C., and Venkateshan, S. P., 2009. Effect of baffle on convective heat transfer from a heat generating element in a ventilated cavity. Heat and Mass Transfer, 45, pp.1069–1082.
[27] Belmiloud, M. A., and Chemloul, N. E. S., 2015. Effect of baffle number on mixed convection within a ventilated cavity. Journal of Mechanical Science and Technology, 29, pp.4719–4727.
[28] Sharma, A. K., Mahapatra, P. S., Manna, N. K., and Ghosh, K., 2015. Mixed Convection Heat Transfer in a Grooved Channel in the Presence of a Baffle. Numerical Heat Transfer, Part A: Applications, 67, pp.1097–1118.
[29] Sahel, D., Ameur, H., Benzeguir, R., and Kamla, Y., 2016. Enhancement of heat transfer in a rectangular channel with perforated baffles. Applied Thermal Engineering, 101, pp.156–164.
[30] Belmiloud, M. A., Sad_Chemloul, N., and Guemmour, M., 2017. Effect of baffle length on mixed convection coupled to surface radiation in a rectangle cavity. Journal of Renewable Energies, 20, pp.81–89.
[31] Gokulavani, P., Muthtamilselvan, M., Al-Mdallal, Q. M., and Doh, D. H., 2020. Effects of orientation of the centrally placed heated baffle in an alternative configured ventilation cavity. European Physical Journal Plus, 135, pp.1–16.
[32] Alhussain, Z. A., 2022. Mixed convective flow in a multiple port ventilation square cavity with insulated baffle. Case Studies in Thermal Engineering, 30, p.101785.
[33] Rehman, N., Mahmood, R., Hussain, A., Ali, M. R., and Hendy, A. S., 2024. Enhanced heat transfer in vented square enclosures with block structures: Exploring iso-perimetric shapes and multigrid approach for mixed convection of nano-fluids. Case Studies in Thermal Engineering, 58, p.104391.
[34] Mahmood, F. T., Chowdhury, T. S., and Hasan, M. N., 2024. Fluid-structure interaction induced mixed convection characteristics in a lid-driven square cavity with non-Newtonian power law fluids. International Journal of Thermofluids, 22, p.100687.
[35] Hasan, M. N., Saha, S., Hasan, M. N., and Barua, S., 2022. Influence of active flow modulation on conjugate mixed convection inside a vented cavity. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 236, pp.6923-6938.
[36] Derakhshan, M. M., Akhavan-Behabadi, M. A., and Mohseni, S. G., 2015. Experiments on mixed convection heat transfer and performance evaluation of MWCNT–Oil nanofluid flow in horizontal and vertical microfin tubes. Experimental Thermal and Fluid Science, 61, pp.241-248.

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History

  • Receive Date: 29 May 2024
  • Revise Date: 24 August 2024
  • Accept Date: 26 August 2024

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