Greener Journal of Science, Engineering and Technological Research, Vol. 6 (1), pp. 009-018, February 2016.

ISSN: 2276-7835 

Research Paper

Manuscript Number: 110815154

(DOI http://doi.org/10.15580/GJSETR.2016.1.110815154)

 

A Mathematical Model for Predicting the Thermal Efficiency of a Gas Turbine Power Plant Using Dimensional Analysis Based on the Buckingham’s Pi Theorem

 

Okafor Victor Chijioke¹*, Ejesu Princewill Kelechi², Chinweuba Dennis Chukwunonye³, and Nwakuba Reginald Nnaemeka⁴

 

¹Department of Agricultural and Bioresource Engineering, School of Engineering and Engineering Technology, Federal University of Technology, Owerri Imo state Nigeria.

²Department of Agricultural and Bioresource Engineering, School of Engineering and Engineering Technology, Federal University of Technology, Owerri Imo state Nigeria.

³Department of Agricultural and Bioresource Engineering, School of Engineering and Engineering Technology, Federal University of Technology, Owerri Imo state Nigeria.

⁴Department of Agricultural and Bioresource Engineering, School of Engineering and Engineering Technology, Federal University of Technology, Owerri Imo state Nigeria.

Abstract

This research is based on the development of a mathematical model for predicting the thermal efficiency of a HITACHI-MS-7001B single shaft open cycle gas turbine operational in Nigeria’s energy utility sector using dimensional analysis based on the Bucking ham’s theorem. A high coefficient of determination of about 82.4% between the predicted and experimental values showed that the method is good. The model was validated with data obtained from the gas turbine log-sheet for a period of ten (10) years at different compressor inlet air temperature and there was no significant difference between the experimental thermal efficiency and the predicted thermal efficiency values respectively at 5% degree of freedom.

 

Keywords: Gas low heating value (LHV), compressor inlet temperature (T₁) compressor outlet temperature (T₂), Turbine inlet temperature (T₃), Turbine exhaust temperature (T₄). 

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