Validation of Statistically Derived Estimated Models for Experimental Investigation of Pico Hydro Pelton Turbine Cup

Fapetu Oluseyi Feyisetan¹, Akinola Adebisi Olayinka², Akintunde Mutalubi Aremu¹, Raimi Oluwole Abiodun^2, and Adesina Fisayo²

¹Department of Mechanical Engineering, Rufus Giwa Polytechnic, Owo, Nigeria

²Department of Mechanical Engineering, Federal University of Technology, Akure, Nigeria

Cite this paper:
Fapetu Oluseyi Feyisetan, Akinola Adebisi Olayinka, Akintunde Mutalubi Aremu, Raimi Oluwole Abiodun and Adesina Fisayo. Validation of Statistically Derived Estimated Models for Experimental Investigation of Pico Hydro Pelton Turbine Cup. Applied Mathematics and Physics. 2017; 5(2):53-60. doi: 10.12691/amp-5-2-4

Abstract

Theoretical force plays an important role in the design of hydro power system when comparing it with the experimental force data which is a function of rate of momentum in jet while no significant reference is given to the estimated force which is statistically derived and also a factor of the experimental force data. The aim of the paper is to statistically derive an estimated model for the force in the Pico hydro turbine cup which will be an alternative for theoretical force in the experimental investigation. Data in the experiment were taken and recorded for six (6) different observations of added weight of mass of 2.5kg, 4.0kg, 6.0kg, 8.0kg and 10.0kg to quantity of mass of 7.5kg, 12.0kg, 18.0kg, 24.0kg and 30.0kg respectively. Regression analysis was the statistical tool employed with the aid of Minitab 16 software to get the estimated force for the variation of added weight of mass. The findings revealed that the estimated model for force on cup displays very significant output when compared with the theoretical force. It is concluded that the estimated force model can be an alternative for theoretical force in an experimental investigation of Pico hydro pelton turbine cup as long as it is specified within the limit of quantity of mass used.

Keywords:
validation statistically derived estimated model experimental investigation Pico hydro Pelton turbine cup

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References:

[1]	H. Zainuddin, M.S. Yahaya, J.M. Lazi, M.F.M. Basar, and Z. Ibrahim, Design and development of Pico-hydro generation system for energy storage using consuming water distributed to houses. International Journal of Electrical, Computer, Energetic, Electronic and Communication Engineering, 3(11), 2009, 1922-1927.
[2]	A.O. Edeoja, S.J. Ibrahim, and E.I. Kucha, Conceptual design of a simplified decentralized Pico hydropower with provision for recycling water. Journal of Multidisciplinary Engineering Science and Technology, 2(2), 2015, 22-34.
[3]	S. Thakur, and S.R. Chauhan, Experimental investigation of cenosphere particulate filled E-glass reinforced vinylester composites under dry and water lubricated sliding conditions. Indian Journal of Engineering & Materials Sciences, 22, 2015, 669-678.
[4]	Z. Zhou, Z. Wang, L. Zhao and X. Shu, Experimental investigation on the yield behaviour of Nomex honeycombs under combined shear-compression. Latin American Journal of Solids and Structures, 9, 2012, 515-530.
[5]	H.T. Li, Z. Yang, J. Zu, and W.Y. Qin, Distributed parameter model and experimental validation of a compressive-mode energy harvester under harmonic excitations. American Institute of Physics (AIP), 6 (085310), 2016, 1-16.
[6]	Z. Driss, T. Chelbi, W. Barhounmi, and A. Kaffel, and M.S. Abid, Numerical and experimental investigations on the meshing model choice of a NACA2415 airfoil wind turbine placed in an open wind tunnel. Journal of Physical Mathematics, 6(2), 2015, 1-5.
[7]	G. Casano, M.W. Collins, and S. Piva, Experimental investigation of the fluid dynamics of a finned heat sink under operating conditions. Journal of Electronics Cooling and Thermal Control, 4, 2014, 86-95.
[8]	G. Cepon, L. Mann, and M. Boltezar, Validation of a flexible multibody belt-drive model. Journal of Mechanical Engineering, 7(8), 2011, 539-546.
[9]	M.K. Peter, Laboratory fluid mechanics manual, 2016, available at: www.utoledo.org.
[10]	L. Saunders, R. Russell, and D. Crabb, The coefficient of determination: what determines a useful R2 statistics? Investigative Ophthalmology & Visual Science (IOVS), 53(11), 2012, 6830-6832.
[11]	D. Hooper, J. Coughlan, and M. R. Mullen, Structural equation modelling: guidelines for determining model fit. Electronic Journal of Business Research Methods, 6(1), 2008, 53-60.
[12]	J. Fan, and L. Huang, Goodness-of-fit tests for parametric regression models. Journal of the American Statistical Association, 96(454), 2001, 640-652.
[13]	D.B.F. Filho, R. Paranhos, E.C. da Rocha, M. Batista, J.A. da Silva Jr, M.L. W.D. Santos, and J.G. Marino, When is statistical significance not significant? Brazilian Political Science Review (bpsr), 7(1), 2013, 31-55.
[14]	G.A. Caxaria, D. D. e Sousa, and H.M. Ramos, Small scale hydropower: generator analysis and optimization for water supply systems. World Renewable Energy Congress, Hydropower Application (HP), 8-13 May, 2011, 1386-1393, Linköping, Sweden.
[15]	J. Margeta, and Z. Glasnovic, Concept-H: sustainable energy supply. World Renewable Energy Congress, Hydropower Application (HP), 8-13 May, 2011, 1408-1415, Linköping, Sweden.