Agricultural Engineering, Volume 50 (2018)

MODELING AND OPTIMIZATION OF AERODYNAMIC PROPERTIES OF PIGEON PEA (CAJANUS CAJAN (L.) MILLSP.)

John Audu, John Okanagba Awulu, Peter Sabo Anyebe
University of Agriculture, Makurdi, Nigeria; Federal Polytechnic Nassarawa, Nigeria

Abstract

Mathematical modeling and optimization was carried out in other to create and provide data for designing harvesting, processing, handling and storage machines or equipment using air for cleaning, sorting or separating pigeon pea seeds. Two varieties (Flavus and Bicolor) of pigeon peas seeds were conditioned from their initial moisture to 8, 10, 12, and 14% d.b, for the determination of terminal velocity and drag coefficient. Seeds samples of weight 50,100 and 150g were poured into a constructed air aerodynamic apparatus during the determination. A response surface method with an I-Optimal (IV) design was used to optimize and model both terminal and drag coefficient properties. The result obtained from the study for terminal velocity ranges from 5.2 to 11.98 m/s while that for drag coefficient ranges from 0.07 to 0.94. A reduced two factor interaction (R2FI) and reduce linear models was used for modeling data of terminal velocity and drag coefficient respectively. The two models was significant at p<0.01. The R2FI and Optimized values range for design consideration for harvesting machines were Moisture (13.52 - 14%), Weight (150g), Terminal velocity (11.67 - 11.98 m/s), Drag coefficient (0.18 - 0.21), Desirability (0.96 - 1.00). Those for processing and handling machines were Moisture (10 - 10.26 %), Weight (150g), Terminal velocity (7.65 0 8.2 m/s), Drag coefficient (0.42 - 0.44), Desirability (1.00). Finally those for storage structures and machines were Moisture (8%), Weight (150g), Terminal velocity (5.22 - 6.05 m/s), Drag coefficient (0.57), Desirability (1.00).

Keyword(s): Terminal velocity, drag coefficient, modeling, optimization and design consideration


References

Ambitious Science Teaching. 2015. Models and Modeling: An Introduction. [online], [cited 26 April 2016]. Available at: http:ambitiousscienceteaching.org/wp.../09/Models-and-Modeling-An-Introduction1.pdf.

ASAE S352.2 Standards, 45th Ed , DEC. 97. Moisture Measurement. Unground grain and seeds. 551. St. Joseph, Mich. 1998.

Audu J, Omale; P. A.; S. P. Anyebe. 2017. Modeling and Optimization of some Optical Properties of Tiger Nuts (Cyperus esculentus): Using Response Surface Approach. Proceeding of the 2nd International Conference on Green Engineering for Sustainable Development (IC-GESD, 2017). 5 – 7th December 2017. Faculty of Engineering, Bayero University, Kano, Nigeria. 116 – 124 p.p.

H.A.E Ayman. Aerodynamic and solid flow properties for flaxseeds for pneumatic separation by using air stream. Int. J. Agric.& Bio. Eng. 2009, 2 (4), 31 – 44 p.p. DOI: 10.3965/j.issn.1934-6344.2009.04.031-045.

B.T. Meilgaard; M. Civille; G. V. Carr. 1991. Sensory evaluation techniques, 2nd ed., CRC Press, Boca Raton, FL.

R.Battiti; B.Mauro; M.Franco. 2008. Reactive Search and Intelligent Optimization. Springer Verlag. ISBN 978-0-387-09623-0, P.196

P.D.Cha; J.J.Rosenberg; C.L.Dym, 2000. Fundamentals of Modeling and Analyzing Engineering Systems, N.Y, Cambridge University Press, P. 466.

W.Coates; E.Yazici. Aerodynamic characteristics of jojoba seeds and like–sized stones. Transactions of the ASAE. 1990, 33(5), 1449–1456, p.p. DOI: 10.13031/2013.31492.

C.L.Dym; E. S. Ivey. 1980. Principles of Mathematical Modeling, 1st Edition, New York: Academic Press.

FAOSTAT. 2005. Agricultural statistics. . [online], [cited 13 march 2016]. Available at: http: www.faostat.org.

S. Ghamari; A. M Borghei; H. Rabbani; J. Khazaei; F. Basati. Modeling the terminal velocity of agricultural seeds with artificial neural networks. African Journal of Agricultural Research, 2010 5(5), 389-398, p.p. DOI: 10.5897/AJAR09.626.

M. Giovanni. Response surface methodology and product optimization, Food Techno, 1983, l (37).

P. C. Grover; M.M. Kashyap. Terminal velocity and aerodynamic characteristic of paddy and groundnut. J. Res. Punjab Agric. Univ., 1980, 17(4) 394 – 403 p.p.

S. Gürsoy; E.Güzel. Determination of physical properties of some agricultural grains. Research Journal of Applied Sciences, Engineering and Technology, 2010, 2(5) 492 – 498 p.p. ISSN: 2040-7467

M. Hauhouot – O’Hara; B.R. Criner; J.B. Brusewitz; J.B. Solie. Selected physical characteristics and aerodynamic properties of cheat seed for separation from wheat. Agric. Eng. Int. CIGR Journal of Scientific research and development, 2000, vol. II.

S. V. Irtwarge; J.C. Igbeka. Effect of accession and moisture content on aerodynamic properties of African yam beans. Trans.ASAE, 2003,19(3) 231 – 329 p.p. ISSN 0883 – 8542

D. C. Joshi; S. K. Das; R. K. Mukherjee. Physical properties of pumpkin seeds. J. of Agricultural Engineering Research, 1993, 54(3): 219–229 p.p. https://doi.org/10.1006/jaer.1993.1016

S. Karaj; J. Müller. Determination of physical, mechanical and chemical properties of seeds and kernels of Jatropha curcas L. Ind. Crops Prod, 2010. doi:10.1016/j.indcrop. 2010.04.001

A. M. S. Khairul; A. M. A. Mohamed. Overview on the Response Surface Methodology (RSM) in Extraction Processes. Journal of Applied Science & Process Engineering, 2015, 2(1), 8 – 17 p.p. ISSN 2289-7771

M. Khoshtaghaza; R. Mehdizadeh. Aerodynamic properties of wheat kernel and straw materials. Agriculture engineering internal. CIGR Journal, 2006, Manuscript. Fp 05 007. Vol.III.

P. M. Kimani, 2001. Pigeonpea Breeding: Objectives, Experiences, and Strategies for Eastern Africa, in S.N. Silim, G. Mergeai, and P.M, Kimani (eds) 2001. Status 30 and potential of pigeonpea in Eastern and Southern Africa: proceedings of a regional workshop, 12-15 Sep 2000, Nairobi, Kenya. B-5030 Gembloux, Belgium: Gembloux Agricultural University; and Patancheru 502 324, Andhra Pradesh, India: International Crops Research Institute for the Semi-Arid Tropics. 232 pp. ISBN 92-9066-432-0. Order code CPE 130

B. Kram; B. Szot. Aerodynamic and Geometric Properties of Amaranths Seed. Int. Agrophysic, 1999, 13, 227 – 232 p.p.

F. Mahbobeh; E.Vahid ; T. G. Seyed Mohammad; G. Mohammad. Physical, mechanical and aerodynamic properties of Acorn (Quercus suber L.) as potentials for development of processing machines. AJCS, 2011, 5(4), 473-478 p.p. ISSN: 1835-2707. citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.998...

H. Nalbandi; S. Seiedlou; H.R Ghassemzadeh. Aerodynamic properties of turgenia latifolia seeds and wheat kernels. International Agro physics Journal, 2009, 24, 57 – 61 p.p.

Olayanju T.M.A; Akinoso R.; Aderiniewo A.A; Dairo O.U; Ola I.A. 2008. Moisture dependant of some aerodynamic Properties of Beniseed. In: Proceedings of the third conference on science and National Development. Nigeria.

R. U. A. Polat; S. Cevdet. Some physical and aerodynamic properties of soybean. Journal of Agronomy, 2006, 5 (1), 74-78 p.p. DOI: 10.3923/ja.2006.74.78

Polyak, N.I; Csizmazia, Z. 2010. Measuring the terminal velocity of particle with Elutriator. Using image analysis. In: CIGR workshop on image analysis in agriculture. Budapest. 26 – 27p.p.

Rao, S.C., Coleman, S.W., Mayeux, H.S., 2002. Forage production and nutritive value of selected pigeonpea ecotypes in the southern great plains. Crop Science, 42: 1259–1263

M. Sadynam; P. C. Grover. Separation behavior of pulses and masala constituents. J. Res. Punjab Agric. Univ., 1983, 20(1), 89–94 p.p.

K. B. Saxena; R V Kumar; P V Rao. Pigeonpea nutrition and its improvement. Journal of Crop Production,2002,5(1-2), 227-260 p.p. ISSN 1092-678X. http://dx.doi.org/10.1300/J144v05n01_10

P. S. Sethi; P. C. Grover; B. C. Thakur. Selected engineering properties of oilseeds: Raya, Toria and Gorbi Sarson. J. Res. Punjab Agric. Univ., 1992, 29(1), 99–110 p.p.

M. A. Seyed Razavi; A. Rafe; R. Akbari. Terminal velocity of pistachio nut and its kernel as affected by moisture content and variety. African Journal of Agricultural Research, 2007, 2 (12), 663-666 p.p. ISSN 1991- 637X. http://www.academicjournals.org/AJAR.

T. G. Seyed Mohammad; M. Seyed Mohammad; M . Ali; G. Amin Taheri, A. Seyed Mahdi. Moisture-dependent engineering properties of black cumin (Nigella sativa L.) seed. Agric Eng Int: CIGR Journal, 2010, 12, (1), 194 – 202 p.p. http://www.cigrjournal.org.

Stat-Ease. 2017. Design-Expert. [online], [cited 20/6/2017 ].Available at:www.statease.com.

L. T. Sviridov. The aerodynamic properties of forest seeds and impurities. Izvestiya Vysshikh Uchebnykh Zavedenii, Lesnoi Zhurnal, 1988, 3(2): 21–24 p.p.

The Nature of Mathematical Programming Archived . At the Wayback Machine.," Mathematical Programming Glossary, INFORMS Computing Society. 2014

N. D. Young; J. Mudge; T. N. Ellis. Legume genomes: More than peas in a pod. Current Opinion in Plant Biology, 2003, 6, 199–20 p.p. https://www.ncbi.nlm.nih.gov/pubmed/12667879


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