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Experimental investigation and thermal modelling of box and parabolic type solar cookers for temperature mapping

  • F. Yettou
  • A. Gama
  • B. Azoui
  • A. Malek
  • N. L. Panwar
Article
  • 12 Downloads

Abstract

This investigation examines mathematical modelling and experimental validation of two types of solar cookers: a box type with tilted intercept area equipped with one external reflector, and a parabolic cooker with a new configuration. Experiments were carried out with the cookers filled with two kilograms of water from 08:00 to 15:00 solar time. During the experiments, temperature gain in the box-type solar cooker was recorded at about 69.8 °C and in the parabolic-type solar cooker at 73.6 °C at the stagnation point. Direct normal irradiation in three distinct study areas was observed and found that it varied from 7.6 to 10 kWh m−2. Cooking pot placed in parabolic cooker was varied between 130 and 132 °C. Centre and south-east regions of study areas where global irradiation varied from 8 to 8.4 kWh m−2 were found suitable for box-type solar cooker and cooking pot temperature were found in the range of 100 °C to 105 °C. Mathematical modelling was programmed in MATLAB. The theoretical results were consistent with experiential data for both types of solar cookers. The effectiveness of the two cooker types can be deduced from the maps. It is found the use of the cookers in Northern and Southern regions of the country was not identical. Their suitability for cooking depends on the amount of solar radiations received.

Keywords

Solar radiation Box solar cooker Parabolic solar cooker Thermal model Experimental tests Temperature maps 

List of symbols

φ, λ

Geographical latitude, longitude (rad)

z

Elevation above sea level (m)

\(\gamma_{\text{s}} ,\gamma_{\text{s}}^{\text{cor}}\)

Solar altitude and corrected solar altitude angle (rad)

θz, θaz

Solar zenith and azimuth angle (rad)

I0 (= 1367), G0

Solar constant and extra-terrestrial solar irradiance (W m−2)

IN

Direct normal irradiance (W m−2)

IBh, IDh, IGh

Beam, diffuse and global irradiance on horizontal surface

IBh

Beam radiation reflected to the absorber of BSC (W m−2)

IS, IR

Solar flux available on cookers (W m−2)

Trd, Fd

Diffuse transmission, diffuse sky irradiance distribution function (–)

TL, TL (AM2)

Linke turbidity and corrected Linke factor (–)

mA, δR

Relative optical air mass and Rayleigh optical thickness of the atmosphere (–)

θBg, θRp

Angles of reflected sun rays (rad)

ψ

Rim angle (rad)

α, β, θ

Angles related to booster mirror (rad)

L1, L, L′, H, H′, h, Wh, Wi, W, W

Various lengths shown in Fig. 5 (m)

D, d, dp, F, f

Various lengths shown in Fig. 6 (m)

Ta, Ts

Ambient, sky temperature (°C)

Tg, Ti, Tp, Tv, Tf

Glass cover, air inside, absorber plate, cooking vessel, cooking fluid temperature related to BSC (°C)

Tref, Tpot, Twat

Parabolic reflector, outside wall cooking pot, cooking fluid related to PSC (°C)

Qc, Qr

Convective and radiation heat flux (W)

Q, U

Thermal losses (W)

hc, hr

Convective and radiation heat coefficient (W m−2 K−1)

mcp

Heat capacity (J K−1)

Ag, Aeff, Avb, Ap, Av, Avf, Asw, Aref, Aspot, Apot, Apf

Area (m2)

\(\alpha_{\text{g}} ,\alpha_{\text{p}} ,\alpha_{\text{v}} ,\alpha_{\text{ref}} ,\alpha_{\text{pot}}\)

Absorptivity (–)

\(\tau_{\text{g}} ,\rho_{\text{B}}\)

Transmissivity and reflectivity (–)

ε, FBg

Factors (–)

Ws

Wind speed (m s−1)

Notes

Acknowledgements

Authors are very thankful to Renewables Energies Development Center (CDER, Algeria) and Applied Research Unit on Renewable Energies (URAER, Ghardaïa) for supporting and financing the solar cooking projects.

References

  1. 1.
    Yettou F, Azoui B, Malek A, Gama A, Panwar NL. Solar cooker realizations in actual use: an overview. Renew Sustain Energy Rev. 2014;37:288–306.CrossRefGoogle Scholar
  2. 2.
    Boudghene Stambouli A, Koinuma H. A primary study on a long-term vision and strategy for the realisation and the development of the Sahara Solar Breeder project in Algeria. Renew Sustain Energy Rev. 2012;16:591–8.CrossRefGoogle Scholar
  3. 3.
    Bellos E, Tzivanidis C. A review of concentrating solar thermal collectors with and without nanofluids. J Therm Anal Calorim. 2018.  https://doi.org/10.1007/s10973-018-7183-1.CrossRefGoogle Scholar
  4. 4.
    Panwar NL. Thermal modeling, energy and exergy analysis of animal feed solar cooker. J Renew Sustain Energy. 2013;5:043105.CrossRefGoogle Scholar
  5. 5.
    Bansal M, Saini RP, Khatod DK. Optimal sizing of a solar–biogas-based cooking system for a cluster of villages. Int J Sustain Energy. 2014;33:1017–32.CrossRefGoogle Scholar
  6. 6.
    Ayub I, Munir A, Amjad W, Ghafoor A, Nasir MS. Energy-and exergy-based thermal analyses of a solar bakery unit. J Thermal Anal Calorim. 2018;133(2):1001–13.CrossRefGoogle Scholar
  7. 7.
    Ghafurian MM, Niazmand H, Ebrahimnia-Bajestan E, Nik HE. Localized solar heating via graphene oxide nanofluid for direct steam generation. J Therm Anal Calorim. 2018.  https://doi.org/10.1007/s10973-018-7496-0.CrossRefGoogle Scholar
  8. 8.
    Herez A, Ramadan M, Khaled M. Review on solar cooker systems: economic and environmental study for different Lebanese scenarios. Renew Sustain Energy Rev. 2018;81:421–32.CrossRefGoogle Scholar
  9. 9.
    El-sebaii AA. Thermal performance of a box-type solar cooker with outer-inner reflectors. Energy. 1997;22(10):969–78.CrossRefGoogle Scholar
  10. 10.
    Amer EH. Theoretical and experimental assessment of a double exposure solar cooker. Energy Convers Manag. 2003;44:2651–63.CrossRefGoogle Scholar
  11. 11.
    Reddy AR, Narasimha Rao AV. Prediction and experimental verification of performance of box type solar cooker – Part I. Cooking vessel with central cylindrical cavity. Energy Convers Manag. 2007;48:2034–43.CrossRefGoogle Scholar
  12. 12.
    Kurt H, Atik K, Ozkaymak M, Recebli Z. Thermal performance parameters estimation of hot box type solar cooker by using artificial neural network. Int J Thermal Sci. 2008;47:192–200.CrossRefGoogle Scholar
  13. 13.
    Punia RC, Marwal VK, Sengar N, Dashora P. Numerical modeling of a box-type solar cooker. Int J Thermal Sci. 2012;4:75–83.Google Scholar
  14. 14.
    Verdugo AS. Experimental analysis and simulation of the performance of a box-type solar cooker. Energy Sustain Dev. 2015;29:65–71.CrossRefGoogle Scholar
  15. 15.
    Rigollier CH, Bauer O, Wald L. On the clear sky model of the ESRA—European Solar Radiation Atlas—with respect to the Heliosat method. Sol Energy. 2000;68(1):33–48.CrossRefGoogle Scholar
  16. 16.
    Hofierka J, Súri M. The solar radiation model for Open source GIS: implementation and applications. In: Proceedings of the Open source GIS—GRASS users conference—Trento, Italy; September 2012. p. 11–13.Google Scholar
  17. 17.
    Kreider JF, Kreith F. Solar energy handbook. McGraw-Hill Book Company; 1981. p. 1099Google Scholar
  18. 18.
    Duffie JA, Beckman WA. Solar engineering of thermal processes. New York: Wiley; 2013.CrossRefGoogle Scholar
  19. 19.
    Document, BIS. Indian standards IS 13429: solar cooker - box type, first revision. Manak Bhawan, New Delhi: Bureau of Indian Standards (BIS); 2000.Google Scholar
  20. 20.
    Amante C, Eakins BW. ETOPO1 1 Arc-Minute Global Relief Model: Procedures, Data Sources and Analysis. NOAA Technical Memorandum NESDIS NGDC-24. National Geophysical Data Center, NOAA, 2009.Google Scholar
  21. 21.
    Gschwind B, Mnard L, Albuisson M, Wald L. Three years of experience with the SoDa web service delivering solar radiation information: lessons learned and perspectives. In: Hrebicek J, Racek J, editors. Proceedings of the 19th international conference informatics for environmental protection, part 1. Czech Republic: Published by the Masaryk University in Brno; 2005. p. 95–102.Google Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Unité de Recherche Appliquée en Energies Renouvelables, URAERCentre de Développement des Energies Renouvelables, CDERGhardaïaAlgeria
  2. 2.LEB Laboratory, Electrotechnics Department, Faculty of TechnologyUniversity of Batna2BatnaAlgeria
  3. 3.Centre de Développement des Energies Renouvelables, CDERAlgiersAlgeria
  4. 4.Department of Renewable Energy EngineeringMaharana Pratap University of Agriculture and TechnologyUdaipurIndia

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