Response Evaluation of Solar Energy Transmissivity to Combined Influence of Radiation Incident Angle and Latitude Angle of Solar Collector Location

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Response Evaluation, Solar Energy Transmissivity, Incident Angle of Radiation, Latitude Angle of Collector Location
C. I. Nwoye; C. E. Njoku; S. O. Nwakpa; A. O. Agbo; C. C. Nwogbu
Response evaluation of solar energy transmissivity to the combined influence of radiation incident angle and latitude angle of solar collector location was carried out. A two-factorial model was derived, validated and used for the predictive analysis. The model structure highlighted the dependency of solar energy transmissivity on the collector latitude angle of location and incident angle of the radiation. The validity of the derived model: ζ = 0.513θ-0.0603 + 0.165e-0.0002ϑ was rooted on the core model expression 1.9493 ζ = θ- 0.0603 + 0.3216 e-0.0002ϑ where both sides of the expression are correspondingly approximately equal. Regression model was used to generate results of transmissivty, and its trend of distribution was compared with that from derived model as a way of verifying its validity relative to experimental results. The results of this verification translated into very close alignment of shapes and curves which translates into significantly similar trend of data point’s distribution for experimental (ExD), derived model (MoD) and regression model-predicted (ReG) results. Evaluations from generated results indicated that transmissivity per unit incident angle of the radiation and latitude angle of collector location as obtained from experiment, derived model & regression model were 1.8 x 10-4, 1.2 x 10-4 & 1.6 x 10-4 deg -1 and 0.0046, 0.003 & 0.0042 deg-1. respectively. Standard errors incurred in predicting transmissivity for each value of the radiation incident angle and latitude angle of collector location considered as obtained from experiment, derived model & regression model are 0.0003, 0.0002 & 2.1422 x 10-5 % and 0.0001, 0.0005 & 2.8396 x10-5 % respectively. The maximum deviation of model-predicted transmissivity (from experimental results) was less than 0.95%. This implies a model operational confidence level above 99% and well over 0.99 response coefficient of solar energy transmissivity to the combined influence of incident angle of solar radiation and latitude angle of solar collector location.

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