Estimation of direct and diffuse solar radiation on the horizontal plane considering air quality index and turbidity fac

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Estimation of direct and diffuse solar radiation on the horizontal plane considering air quality index and turbidity factor in Assekrem, Tamanrasset, Algeria Foued Chabane 1,2 Received: 2 April 2020 / Accepted: 4 August 2020 # Springer Nature B.V. 2020

Abstract This study aimed to write a mathematical model that contributes to providing all points of change for solar radiation according to variation in the angle of solar elevation. This work proposed a model sufficient to predict the solar radiation on a horizontal area in different contexts and added air pollution such as CO, CO2, and CH4 linked with parameters such as ηbeam, κbeam, κdiffuse, β, and TL, which represent a new pollution factor that defines the mathematical model according to two components, direct and diffuse radiation. We know that the effect of pollution on light is achieved by absorbing solar radiation, which obscures part of it, and the rest of the radiation crosses the Earth’s atmosphere at a limited rate, which encouraged us to take into account the pollution side and the equation is comprehensive and sensitive at the same time. We recorded the largest value of CO2 in April and December at an estimated value of 408 (μmol/mol), where the diffuse radiation rate is low, and this coincides with the CO. Finally, we reached satisfactory results, as they were markedly identical and with almost no errors. Keywords A new factor of pollution . Prediction . CO2 . CO . CH4 . TL

Nomenclature χ, η, A1, Least square constants A2, x0, α β New atmospheric factor of the pollution out from a model (μmol.mol−1) κ0 Constant of the coefficient of κbeam related to the beam solar radiation equal to 2.396 (μmol.mol−1)0.8 η0 Constant of the coefficient of ηbeam related to the beam solar radiation, and equal to 0.0000429 (μmol.mol−1)1.4 β0 Reference constant for total contaminated elements equal to 40 (μmol.mol−1) κ1 Constant of the coefficient of κdiffuse relate by diffuse solar radiation equal to −0.0000545 (μmol.mol−1)1.2

κbeam, ηbeam

y and x BE BHI CH4 CO CO2 DHI h i M

MCH4 * Foued Chabane [email protected]

MCO

1

Department of Mechanical Engineering, Faculty of Technology, University of Biskra, 07000 Biskra, Algeria

MCO2

2

Mechanical Engineering Laboratory (LGM), Faculty of Technology, University of Biskra, 07000 Biskra, Algeria

O3 R2

Representing the new pollution factor, corresponding to beam solar radiation, according to β and TL (μmol.mol−1) The means of y and x, respectively Angström coefficient (−) Beam solar radiation on horizontal area (Wm−2) Methane Carbon monoxide Carbon dioxide Diffuse solar radiation on horizontal area (Wm−2) The solar altitude angle[°] count of the element vector Ratio of the number nano mole for each pollution element per the air mole (nmol.mol−1) Nano mole of the carbon oxide per mole of dry air (nmol.mol−1) Nano mole of the carbon oxide per mole of dry air (nmol.mol−1) Nano mole of the carbon oxide per mole of dry air (nmol.mol−1) Troposphere ozone (Dobson) Square residual

Air Qual Atmos Health

Sr TL WV x y

Sum of