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

  • F. YettouEmail author
  • A. Gama
  • B. Azoui
  • A. Malek
  • N. L. Panwar


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.


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

List of symbols

φ, λ

Geographical latitude, longitude (rad)


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)


Direct normal irradiance (W m−2)

IBh, IDh, IGh

Beam, diffuse and global irradiance on horizontal surface


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


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)


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)


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 (–)


Wind speed (m s−1)



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.


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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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