Abstract
This numerical investigation aimed to analyze laminar natural convection inside a closed room containing two discrete heaters using Computational Fluid Dynamics (CFD). The Navier–Stokes equation was adopted to study the fluid flow inside the room. The fluid inside the room was standard air with the Prandtl number of 0.71. The top wall, bottom wall, and center portion of the right walls were considered adiabatic, while the left-side wall remains cold. Two discrete heaters were positioned near the top-and-bottom- side of the right wall, and the heater sizes were 20 and 30% of the room’s length. Rayleigh number (Ra) was considered within the laminar range that, they were varied from 103 to 106. Natural convection is induced between the walls due to the difference in temperature inside the room. The rate of heat transfer, velocity profile, streamlines, and isotherms were measured. The results show a strong influence of the heater’s size and the Rayleigh number on how the fluid in the room heated up. The heat transfer was influenced by conduction when Ra = 103. As the Ra increases, buoyancy force increases and shows the dominance of natural convection at Ra = 106. The findings suggest that by varying the heater size and the Rayleigh number, optimal thermal comfort can be achieved in the living place without going for any external mechanical forces. This understanding could help engineers prepare an energy-efficient structural design for buildings and provide excellent thermal comfort to the occupants.
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Abbreviations
- α :
-
Thermal diffusion of fluid
- β :
-
Thermal expansion coefficient
- γ :
-
Fluid kinematic viscosity
- μ :
-
Dynamic viscosity
- c p :
-
Specific heat
- k :
-
Thermal conductivity
- g :
-
Acceleration due to gravity
- u :
-
Dimensionless horizontal velocity
- v :
-
Dimensionless vertical velocity
- T :
-
Dimensionless temperature
- t :
-
Dimensionless time
- w :
-
Dimensionless vorticity
- Pr:
-
Prandtl number
- Ra:
-
Rayleigh number
- Nu:
-
Local Nusselt number
- \(\overline{{{\text{Nu}}}}\) :
-
Average of Local Nusselt number
- CFD:
-
Computation Fluid Dynamics
- FDM:
-
Finite Difference Method
References
Energy efficiency indicators—analysis—IEA, International Energy Agency (2020). Available https://www.iea.org/reports/energy-efficiency-indicators
De Vahl Davis G (1983) Natural convection of air in a square cavity: a bench mark numerical solution. Int J Num Methods Fluids 3(3):249–264
Ostrach S (1972) Natural convection in enclosures. Adv Heat Transf 8:161–227
Ben Nasr K, Chouikh R, Kerkeni C, Guizani A (2006) Numerical study of the natural convection in cavity heated from the lower corner and cooled from the ceiling. Appl Therm Eng 26(7):772–775
Rahman MM, Mamun MAH, Billah MM, Saidur R (2010) Natural convection flow in a square cavity with internal heat generation and a flush mounted heater on a side wall. J Nav Archit Mar Eng 8235(July)
Mei SJ, Hu JT, Liu D, Zhao FY, Li Y, Wang HQ (2019) Airborne pollutant dilution inside the deep street canyons subjecting to thermal buoyancy driven flows: effects of representative urban skylines. Build Environ 149:592–606
Hu JT, Mei SJ, Liu D, Zhao FY, Wang HQ (2018) Buoyancy driven double diffusive moisture convection inside the fluid-porous-solid sandwiched building enclosure containing internal heating sources. Int J Heat Mass Transf 123:600–615
Saha SC, Patterson JC, Lei C (2010) Natural convection and heat transfer in attics subject to periodic thermal forcing. Int J Therm Sci 49(10):1899–1910
Ozsagiroglu S, Camci M, Taner T, Acikgoz O, Dalkilic AS, Wongwises S (2021) CFD analyses on the thermal comfort conditions of a cooled room: a case study. J Therm Anal Calorim 1–25
Kalidasan K, Velkennedy R, Rajesh Kanna P (2014) Buoyancy enhanced natural convection inside the ventilated square enclosure with a partition and an overhanging transverse baffle. Int Commun Heat Mass Transf 56:121–132
Ghia, U, Ghia KN, Shina CT (1982) High-resolutions for incompressible flow using Navier-Stokes equation and a multigrid method. J Comput Phys 20(3):387–411
Indukuri JV, Maniyeri R (2018) Numerical simulation of oscillating lid driven square cavity. Alexandria Eng J 57(4)”2609–2625
Kalidasan K, Velkennedy R, Rajesh Kanna P (2014) Numerical investigation on natural convection inside the side ventilated square enclosure with vertical mid-partition. Num Heat Transf Part A Appl 66(12):1389–1418
Das MK, Kanna PR (2007) Application of an ADI scheme for steady and periodic solutions in a lid-driven cavity problem. Int J Num Methods Heat Fluid Flow 17(8):799–822
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Jeseema Nisrin, J., Velkennedy, R., Kalidasan, K. (2022). Influence of Two Discrete Heaters on the Laminar Natural Convection Inside a Closed Room. In: Marano, G.C., Ray Chaudhuri, S., Unni Kartha, G., Kavitha, P.E., Prasad, R., Achison, R.J. (eds) Proceedings of SECON’21. SECON 2021. Lecture Notes in Civil Engineering, vol 171. Springer, Cham. https://doi.org/10.1007/978-3-030-80312-4_10
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DOI: https://doi.org/10.1007/978-3-030-80312-4_10
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