Abstract
Buoyancy-driven free convection in a typical solar air heating system is investigated numerically using an indigenous code. Solar air heating (SAH) is reliable and economic for harnessing solar energy for heating/ ventilation of buildings. Design, as well as application of such system/devices, needs in-depth knowledge of its transport process. To address these issues, the present study explores the fundamentals of fluid flow and heat transfer process by modeling ‘H’ shape cavity packed with saturated porous media, heated from bottom protruded body and cooled at the sides of the top protruded body, respectively. Rests of the walls are insulated. Two different working mediums (air and copper–water nanofluid) are utilized for assessing the overall thermal behavior. Evolved flow physics is analyzed and visualized for a wide range of pertinent parameters like Rayleigh number (Ra = 103–106), Darcy number (Da = 10–7–10–3), porosity (ε = 0.1–1), the concentration of nanoparticles (\(\phi\) = 0–4%), and heater aspect ratio (A = 0–2.5) for the clear domain as well as porous domain. All the results have been visualized by streamlines, isotherms, and heat lines. The heat transfer rate is influenced significantly by the different parameters. It is observed that usage of nanofluid ensures heightened heat transfer compared to air even in the presence of the porous medium. At higher Ra, an increasing trend of heat transfer is noted for aspect ratio from 0 to 1.0 for nanofluid (0–0.5 in case of air), beyond this heat transfer decreases, and then heat transfer increases.
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Abbreviations
- A :
-
Aspect ratio of the protruded body
- Da:
-
Darcy number
- h :
-
Height of the protruded body, m
- K :
-
Permeability of the porous medium, m2
- L :
-
Length of the cavity/length scale, m
- Nu:
-
Average Nusselt number
- p :
-
Pressure, Pa
- Pr:
-
Prandtl number
- Ra:
-
Rayleigh number
- \(T\) :
-
Temperature, K
- u,v :
-
Velocity components, m/s
- U,V :
-
Non-dimensional velocity components
- w :
-
Width of the protruded body
- x,y :
-
Cartesian coordinates, m
- X,Y :
-
Dimensionless coordinates
- \(\alpha\) :
-
Thermal diffusivity, m2/s
- \(\beta\) :
-
Thermal expansion coefficient of fluid, K−1
- \(\theta\) :
-
Dimensionless temperature
- \(\phi\) :
-
Nanoparticles concentrations
- \(\varepsilon\) :
-
Porosity
- \(\upsilon\) :
-
Kinematic viscosity, m2/s
- \(\rho\) :
-
Density, kg/m3
- \(\sigma\) :
-
Electrical conductivity (μ·Scm−1)
- \(\psi\) :
-
Dimensionless stream function
- \(\Pi\) :
-
Dimensionless heat function
- a :
-
Ambient
- h :
-
Heating
- f :
-
Pure fluid or base fluid (for nanofluid)
- s :
-
Solids
References
S. Chamoli, R. Chauhan, N.S. Thakur, J.S. Saini, A review of the performance of double pass solar air heater. Renew. Sustain. Energy Rev. 16, 481–492 (2012)
H. Parsa, M. Saffar-Avval, M.R. Hajmohammadi, 3D simulation and parametric optimization of a solar air heater with a novel staggered cuboid baffles. Int. J. Mech. Sci. 205, 106607 (2021)
A.S.H. Abdallah, Passive air cooling system and solar water heater with phase change material for low energy buildings in hot arid climate. Energy Build. 239, 110854 (2021)
S.F. Ahmed, M. Khalid, M. Vaka, R. Walvekar, A. Numan, A.K. Rasheed, N.M. Mubarak, Recent progress in solar water heaters and solar collectors: a comprehensive review. Thermal Sci. Eng. Prog. 25, 100981 (2021)
X. Xiao, P. Zhang, D.D. Shao, M. Li, Experimental and numerical heat transfer analysis of a V-cavity absorber for linear parabolic trough solar collector. Energy Conv. Manag. 86, 49–59 (2014)
V. Goel, R. Kumar, S. Bhattacharyya, V.V. Tyagi, A.M. Abusorrah, A comprehensive parametric investigation of hemispherical cavities on thermal performance and flow-dynamics in the triangular-duct solar-assisted air-heater. Renew. Energy. 173, 896–912 (2021)
K.S. Reddy, K.R. Kumar, Estimation of convective and radiative heat losses from an inverted trapezoidal cavity receiver of solar linear Fresnel reflector system. Int. J. Thermal Sci. 80, 48–57 (2014)
S. Pradhan, R. Chakraborty, D.K. Mandal, A. Barman, P. Bose, Design and performance analysis of solar chimney power plant (SCPP): A review. Sus. Energy Technol. Assess. 47, 101411 (2021)
N. Biswas, N.K. Manna, A. Datta, D.K. Mandal, A.C. Benim, Role of aspiration to enhance MHD convection in protruded heater cavity. Prog. Comput. Fluid Dyn. 20(6), 363–378 (2020)
D. Das, T. Basak, Role of distributed/discrete solar heaters during natural convection in the square and triangular cavities: CFD and heatline simulations. Sol. Energy. 135, 130–153 (2016)
N. Biswas, P.S. Mahapatra, N.K. Manna, Buoyancy-driven fluid and energy flow in protruded heater enclosure. Meccanica 51, 2159–2184 (2016)
N. Biswas, P.S. Mahapatra, N.K. Manna, P.C. Roy, Influence of heater aspect ratio on natural convection in a rectangular enclosure. Heat Transfer Eng. 37(2), 1–15 (2015)
M. Paroncini, F. Corvaro, Natural convection in a square enclosure with a hot source. Int. J. Therm. Sci. 48(9), 1683–1695 (2009)
N. Biswas, S. Chatterjee, M. Das, A. Garai, P.C. Roy, A. Mukhopadhyay, (2015) Analysis of PIV measurements of natural convection in an enclosure using proper orthogonal decomposition, ASME J. Heat Transfer 137, 124502–1–4.
D.A. Nield, A. Bejan, Convection in Porous Media, 4th edn. (Springer, New York, 2013)
A. Bejan, I. Dincer, S. Lorente, A.F. Miguel, A.H. Reis, Porous and Complex Flow Structures in Modern Technologies (Springer, New York, 2004)
R. Mohebbi, S.A.M. Mehryan, M. Izadi, O. Mahian, Natural convection of hybrid nanofluids inside a partitioned porous cavity for application in solar power plants. J. Thermal Anal. Calorim. 137, 1719–1733 (2019)
N. Biswas, N.K. Manna, A.J. Chamkha, Energy-saving method of heat transfer enhancement during magneto-thermal convection in typical thermal cavities adopting aspiration. SN Applied Sci. 2, 1911 (2020)
T.R. Shah, H.M. Ali, Applications of hybrid nanofluids in solar energy, practical limitations and challenges: A critical review. Sol. Energy 183, 173–203 (2019)
K. Khanafer, K. Vafai, Applications of nanofluids in porous medium. J. Therm. Anal. Calorim. 135, 1479–1492 (2019)
A. Kasaeian, R. Daneshazarian, O. Mahian, L. Kolsi, A.J. Chamkha, S. Wongwises, I. Pop, Nanofluid flow and heat transfer in porous media: a review of the latest developments. Int. J. Heat Mass Transfer. 107, 778–791 (2017)
R.A. Mahdi, H. Mohammed, K. Munisamy, N. Saeid, Review of convection heat transfer and fluid flow in porous media with nanofluid. Renew. Sustain. Energy. Rev. 41, 715–734 (2015)
H. Saleh, Z. Siri, M. Ghalambaz, Natural convection from a bottom heated of an asymmetrical U-shaped enclosure with nano-encapsulated phase change material. J. Energy Storage. 38, 102538 (2021)
Y. Ma, R. Mohebbi, M.M. Rashidi, Z. Yang, Simulation of nanofluid natural convection in a U-shaped cavity equipped by a heating obstacle: effect of cavity’s aspect ratio. J. Taiwan Inst. Chem. Eng. 93, 263–276 (2018)
F. Keramat, A. Azari, H. Rahideh, M. Abbasi, A CFD parametric analysis of natural convection in an H-shaped cavity with two-sided inclined porous fins. J. Taiwan Inst. Chem. Eng. 114, 142–152 (2020)
H. Mallick, H. Mondal, N. Biswas, N.K. Manna, Buoyancy driven flow in a parallelogrammic enclosure with an obstructive block and magnetic field. Materials Today: Proc. 44(2), 3164–3171 (2021)
N. Biswas, N.K. Manna, P. Datta, P.S. Mahapatra, Analysis of heat transfer and pumping power for bottom-heated porous cavity saturated with Cu-water nanofluid. Powd. Technol. 326, 356–369 (2018)
Q. Sun, I. Pop, Free convection in a triangle cavity filled with a porous medium saturated with nanofluids with flush mounted heater on the wall. Int. J. Therm. Sci. 50, 2141–2153 (2011)
N. Biswas, U.K. Sarkar, A.J. Chamkha, N.K. Manna, Magneto-hydrodynamic thermal convection of Cu–Al2O3/water hybrid nanofluid saturated with porous media subjected to half-sinusoidal nonuniform heating. J. Therm. Anal. Calorim. 143, 1727–1753 (2021)
N.K. Manna, C. Mondal, N. Biswas, U.K. Sarkar, H.F. Öztop, N.H. Abu-Hamdeh, (2021) Effect of spatially intermittently active partial magnetic fields on thermal convection in a linearly heated porous cavity filled with hybrid nanofluid, Phys. Fluids, Phys. Fluids, 33, 053604.
S. Kimura, A. Bejan, The heatline visualization of convective heat transfer. J. Heat Transfer. 105, 916–919 (1983)
S.V. Patankar, Numerical heat transfer and fluid flow, Taylor and Francis (1980).
Acknowledgements
This article is the extended version of their presented papers during 'International Conference on Energy and Sustainable Development' held at Kolkata, India on February 14-15, 2020.
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Datta, A., Biswas, N., Manna, N.K. et al. Thermal Management of Nanofluid Filled Porous Cavity Utilized for Solar Heating System. J. Inst. Eng. India Ser. C 103, 207–221 (2022). https://doi.org/10.1007/s40032-021-00775-8
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DOI: https://doi.org/10.1007/s40032-021-00775-8