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Frontiers in Energy

ISSN 2095-1701

ISSN 2095-1698(Online)

CN 11-6017/TK

Postal Subscription Code 80-972

2018 Impact Factor: 1.701

Front. Energy    2016, Vol. 10 Issue (3) : 268-276    https://doi.org/10.1007/s11708-016-0413-y
RESEARCH ARTICLE
Prediction of the theoretical and semi-empirical model of ambient temperature
Foued CHABANE(),Noureddine MOUMMI,Abdelhafid BRIMA,Abdelhafid MOUMMI
Mechanical Department, Mechanical Engineering Laboratory (LGM), Faculty of Technology, University of Biskra, Biskra 07000, Algeria
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Abstract

It is well known that the ambient temperature is a sensitive parameter which has a great effect on biology, technology, geology and even on human behavior. A prediction is a statement about an uncertain event. It is often, but not always, based upon experience or knowledge. Although guaranteed accurate information about the future is in many cases impossible, prediction can be useful to assist in making plans about possible developments. As a result, temperature profiles can be developed which accurately represent the expected ambient temperature exposure that this environment experiences during measurement. The ambient temperature over time is modeled based on the previous Tmin and Tmax data and using a Lagrange interpolation. To observe the comprehensive variation of ambient temperature the profile must be determined numerically. The model proposed in this paper can provide an acceptable way to measure the change in ambient temperature.

Keywords ambient temperature      environment      correlation      theoretical model      semi-empirical     
Corresponding Author(s): Foued CHABANE   
Just Accepted Date: 09 May 2016   Online First Date: 15 July 2016    Issue Date: 07 September 2016
 Cite this article:   
Foued CHABANE,Noureddine MOUMMI,Abdelhafid BRIMA, et al. Prediction of the theoretical and semi-empirical model of ambient temperature[J]. Front. Energy, 2016, 10(3): 268-276.
 URL:  
https://academic.hep.com.cn/fie/EN/10.1007/s11708-016-0413-y
https://academic.hep.com.cn/fie/EN/Y2016/V10/I3/268
SunsetSolar middaySunrise
Y=Tam (°C)TssTsmTsr
X=AST (h)tsstsmtsr
Tab.1  Data of an interpolation between Tam and AST
MonthY0wXcTmaxTmin(Tmax?Tmin?)Tmax?+Tmin?2Adj. R-Square
Jan.9.867.6815.4517.56.511120.9730
Feb.13.577.07615.7417512110.8974
Mar.13.2514.9414.9422.51012.516.250.9510
Apr.18.298.8716.77271512210.9419
May19.458.0617.6632.516.51624.50.9196
Jun.24.869.2616.584027.512.533.750.8419
Jul.30.447.4218.13432914360.8584
Aug.31.826.9317.1242.528.51435.50.7597
Sep.29.687.02515.53522.512.528.750.7597
Oct.18.396.8517.33302010250.8983
Nov.13.729.9316.3224131118.50.9144
Dec.6.887.3914.9317.57.51012.50.9645
Tab.2  Constants of correlation
Fig.1  Ambient temperature profile as a function of months (2014)
Fig.2  Ambient temperature of a spring period (2015/03, 04 and 05)
Fig.3  Ambient temperature of a summer period (2015/06, 07 and 08)
Fig.4  Ambient temperature of an autumn period (2015/09, 10 and 11)
Fig.5  Ambient temperature of a winter period (2015/12, 2016/01 and 02)
Fig.6  Ambient temperature, comparison of different models (winter – January)
Fig.7  Ambient temperature, comparison of different models (spring – April )
Fig.8  Ambient temperature, comparison of different models (summer – July)
Fig.9  Ambient temperature, comparison of different models (autumn – October)
Fig.10  Variation of ambient temperature between an experimental and the semi-empirical model (January)
Fig.11  Variation of ambient temperature between an experimental and the semi-empirical model (April)
Fig.12  Variation of ambient temperature between an experimental and the semi-empirical model (July)
Fig.13  Variation of ambient temperature between an experimental and the semi-empirical model (November)
Fig.14  Experiment measurements of ambient temperature for one year
Fig.15  Theoretical calculation of ambient temperature for one year
Fig.16  Ambient temperature of relative error
Fig.17  Ambient temperature of absolute error
AST: the apparent solar time/h
hcve: the coefficient of thermal convection losses between the front of the sensor and the external environment/(W·km–2)
hrve: the coefficient of thermal losses by radiation between the front of the sensor and the external environment/(W·km–2)
Hve : coefficient of thermal equivalent/(W·km–2)
L: the solar altitude angle/(° )
N: number day of the year
tsr : the sunrise time/h
tss : the sunset time/h
Dt: duration of the day/h
Tmax and Tmin: maximum and minimum ambient temperatures during the day/°C
Tsky : sky temperature/°C
Tam: ambient temperature /°C
Teq : equivalent temperature/°C
Tss : the sunset of ambient temperature/°C
Tsm : solar midday of ambient temperature/°C
Tsr : the sunrise of ambient temperature/°C
Y0, Xc and w : constants
d: The declination/(° )
ζ, ψand υ : the constants with relationship by tss, tsr, wss and AST
w: hour angle/(° )
wss : The hour angle at sunset/(° )
wsr : The hour angle at sunrise/(° )
Tab.1  
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