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Validation of Simulation Models for Mass Flow Rate of Maize Grain Through Horizontal Circular Orifices

Received: 30 October 2022     Accepted: 28 November 2022     Published: 8 December 2022
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Abstract

The mass flow rate (MFR) of maize grain is essential in determining appropriate size of orifice for flow control. There are several simulation models for MFR that have been developed. However, there is need for a reliable simulation model for MFR of maize grain through horizontal circular orifices. In this paper, the Beverloo, British Code of Practice (BCP) and Tudor simulation models for MFR were validated. The experimental results used in validation were obtained by discharging 12.0 kg of maize grain (Hybrid 614 variety) through horizontal circular orifices with diameters ranging from 0.040 m to 0.056 m. The time taken for the grain to flow through the orifices was recorded and MFR determined. The moisture content of the maize grain used was 11.4%, wet basis. The actual MFR ranged from 720 kg/h to 1735 kg/h, 650 kg/h to 2006 kg/h for Beverloo, 851 kg/h to 2378 kg/h for BCP and 867 kg/h to 2010 kg/h for Tudor model. The data analysis showed that none of the simulation models results best fitted the experimental. Therefore, New model was established based on MATLAB R2019a curve fitting tool. The New model results corroborated with the experimental. In addition, the models performance evaluation results showed that the New model had higher coefficient of determination (R2 = 0.9965), lower root mean square error (RMSE = 24.8 kg/h), lower absolute residual error (εr = 0.6%) and higher simulation performance at 10% residual error (ηsim,10% = 100%) than Beverloo, BCP and Tudor model. This implied that the New model was more reliable for simulating MFR of maize grain through horizontal circular orifices compared with Beverloo, BCP and Tudor model.

Published in Bioprocess Engineering (Volume 6, Issue 2)
DOI 10.11648/j.be.20220602.16
Page(s) 40-45
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

Validation, Simulation Models, Mass Flow Rate, Maize Grain, Horizontal Circular Orifices

References
[1] Beverloo, W. A., Leniger, H. A. & Van de Velde, J. (1961). The flow of granular solids through orifices. Chemical engineering science, 15 (3-4), 260-269. Smale, M., Byerlee, D. & Jayne, T. (2011). Maize revolutions in sub-saharan africa: The World Bank.
[2] Chang, C., Converse, H. & Lai, F. (1984). Flow rate of corn through orifices as affected by moisture content. Transactions of the ASAE, 27 (5), 1586-1589.
[3] Gregory, J. M. & Fedler, C. B. (1987). Equation describing granular flow through circular orifices Transactions of the ASAE, 30 (2), 529-532.
[4] Chang, C. & Converse, H. (1988). Flow rates of wheat and sorghum through horizontal orifices. Transactions of the ASAE, 31 (1), 300-0304.
[5] Moysey, E., Lambert, E. & Wang, Z. (1988). Flow rates of grains and oilseeds through sharp-edged orifices. Transactions of the ASAE, 31 (1), 226-0233.
[6] Fowler, R. & Glastonbury, J. R. (1959). The flow of granular solids through orifices. Chemical engineering science, 10 (3), 150-156.
[7] Ewalt, D. & Buelow, F. (1963). Flow of shelled corn through orifices in bin walls. Quarterly Bulletin of the Michigan Agricultural Experiment Station, Michigan State University, East Lansing, Michigan USA, 46 (1), 92-102.
[8] Mamtani, K. (2011). Effect of particle shape on hopper discharge rate. University of Florida.
[9] Lewis, A. M. (1992). Measuring the hydraulic diameter of a pore or conduit. American Journal of Botany, 79 (10), 1158-1161.
[10] Morrison, G. L., Hall, K., Holste, J., Macek, M., Ihfe, L., DeOtte Jr, R. & Terracina, D. (1994). Comparison of orifice and slotted plate flowmeters. Flow measurement and Instrumentation, 5 (2), 71-77.
[11] Sharma, P. & Fang, T. (2015). Spray and atomization of a common rail fuel injector with non-circular orifices. Fuel, 153, 416-430.
[12] Abd-El-Rahman, A. M. & Youssef, M. E. S. (2008). A device for enhancement and controlling of the cohesive powder discharging without aeration. Journal of Applied Sciences Research, 4 (2), 133-137.
[13] Tudor, C. & Mieila, C. (2010). Theoretical development of a mathematical model to evaluate gravimetrical flow rate of seeds through orifices. UPB Sci. Bull., Serials D, 72 (4), 269-280.
[14] Aguirre, M. A., De Schant, R. & Géminard, J.-C. (2014). Granular flow through an aperture: Influence of the packing fraction. Physical Review E, 90 (1), 012203.
[15] Karababa, E. & Coşkuner, Y. (2007). Moisture dependent physical properties of dry sweet corn kernels. International Journal of Food Properties, 10 (3), 549-560.
[16] Jafari, A. & Tabatabaeefar, A. (2008). Some physical propeties of wild pistachio [pistacia vera l.] nut and kernel as a function of moisture content. International Agrophysics, 22 (1), 117-124.
[17] Sangamithra, A., Gabriela, J. S., Prema, R. S., Nandini, K., Kannan, K., Sasikala, S. & Suganya, P. (2016). Moisture dependent physical properties of maize kernels. International Food Research Journal, 23 (1), 109.
[18] Mohsenin, N. (1986). Physical properties of plant and animal materials. Gordon and breach science publishers. New York.
[19] Galedar, M. N., Tabatabaeefar, A., Jafari, A., Sharifi, A., Mohtasebi, S. & Fadaei, H. (2010). Moisture dependent geometric and mechanical properties of wild pistachio (pistacia vera l.) nut and kernel. International Journal of Food Properties, 13 (6), 1323-1338.
[20] Agbetoye, L. & Ogunlowo, A. S. (2010). Modeling flow rate of egusi-melon (colocynthis citrullus) through circular horizontal hopper orifice. Advances in Science and Technology, 4 (1), 35-44.
[21] Nelson, S. O. (1980). Moisture-dependent kernel-and bulk-density relationships for wheat and corn. Transactions of the ASAE, 23 (1), 139-0143.
[22] McNeill, S. G., Thompson, S. A. & Montross, M. D. (2004). Effect of moisture content and broken kernels on the bulk density and packing of corn. Applied Engineering in Agriculture, 20 (4), 475.
[23] Bala, B. K. (1997). Drying and storage of cereal grains. Inc., Plymouth, UK: Science Publishers.
[24] Yaldiz, O. & Ertekin, C. (2001). Thin layer solar drying of some vegetables. Drying Technology, 19, 583–596.
[25] Sacilik, K. & Elicin, A. K. (2006). The thin layer drying characteristics of organic apple slices. Journal of Food Engineering, 73, 281–289.
[26] Sarsavadia, P. N., Sawhney, R. L., Pangavhane, D. R. & Singh, S. P. (1999). Drying behaviour of brined onion slices. Journal of Food Engineering, 40, 219–226.
[27] Doymaz, I., Gorel, O. & Akgun, N. A. (2004). Drying characteristics of the solid by-product of olive oil extraction. Biosystems Engineering, 88 (2), 213–219.
[28] Kanali, C. L. (1997). Prediction of axle loads induced by sugarcane transport vehicles using statistical and neural–network models. Journal of Agricultural Engineering Research, 68 (3), 207–213.
[29] Uluko, H., Kanali, C. L., Mailutha, J. T. & Shitanda, D. (2006). A finite element model for the analysis of temperature and moisture distribution in a solar grain dryer. The Kenya Journal of Mechanical Engineering, 2 (1), 47–56.
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  • APA Style

    Meshack Kipruto Korir, Musa Rugiri Njue, Daudi Mongeri Nyaanga. (2022). Validation of Simulation Models for Mass Flow Rate of Maize Grain Through Horizontal Circular Orifices. Bioprocess Engineering, 6(2), 40-45. https://doi.org/10.11648/j.be.20220602.16

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    ACS Style

    Meshack Kipruto Korir; Musa Rugiri Njue; Daudi Mongeri Nyaanga. Validation of Simulation Models for Mass Flow Rate of Maize Grain Through Horizontal Circular Orifices. Bioprocess Eng. 2022, 6(2), 40-45. doi: 10.11648/j.be.20220602.16

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    AMA Style

    Meshack Kipruto Korir, Musa Rugiri Njue, Daudi Mongeri Nyaanga. Validation of Simulation Models for Mass Flow Rate of Maize Grain Through Horizontal Circular Orifices. Bioprocess Eng. 2022;6(2):40-45. doi: 10.11648/j.be.20220602.16

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  • @article{10.11648/j.be.20220602.16,
      author = {Meshack Kipruto Korir and Musa Rugiri Njue and Daudi Mongeri Nyaanga},
      title = {Validation of Simulation Models for Mass Flow Rate of Maize Grain Through Horizontal Circular Orifices},
      journal = {Bioprocess Engineering},
      volume = {6},
      number = {2},
      pages = {40-45},
      doi = {10.11648/j.be.20220602.16},
      url = {https://doi.org/10.11648/j.be.20220602.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.be.20220602.16},
      abstract = {The mass flow rate (MFR) of maize grain is essential in determining appropriate size of orifice for flow control. There are several simulation models for MFR that have been developed. However, there is need for a reliable simulation model for MFR of maize grain through horizontal circular orifices. In this paper, the Beverloo, British Code of Practice (BCP) and Tudor simulation models for MFR were validated. The experimental results used in validation were obtained by discharging 12.0 kg of maize grain (Hybrid 614 variety) through horizontal circular orifices with diameters ranging from 0.040 m to 0.056 m. The time taken for the grain to flow through the orifices was recorded and MFR determined. The moisture content of the maize grain used was 11.4%, wet basis. The actual MFR ranged from 720 kg/h to 1735 kg/h, 650 kg/h to 2006 kg/h for Beverloo, 851 kg/h to 2378 kg/h for BCP and 867 kg/h to 2010 kg/h for Tudor model. The data analysis showed that none of the simulation models results best fitted the experimental. Therefore, New model was established based on MATLAB R2019a curve fitting tool. The New model results corroborated with the experimental. In addition, the models performance evaluation results showed that the New model had higher coefficient of determination (R2 = 0.9965), lower root mean square error (RMSE = 24.8 kg/h), lower absolute residual error (εr = 0.6%) and higher simulation performance at 10% residual error (ηsim,10% = 100%) than Beverloo, BCP and Tudor model. This implied that the New model was more reliable for simulating MFR of maize grain through horizontal circular orifices compared with Beverloo, BCP and Tudor model.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - Validation of Simulation Models for Mass Flow Rate of Maize Grain Through Horizontal Circular Orifices
    AU  - Meshack Kipruto Korir
    AU  - Musa Rugiri Njue
    AU  - Daudi Mongeri Nyaanga
    Y1  - 2022/12/08
    PY  - 2022
    N1  - https://doi.org/10.11648/j.be.20220602.16
    DO  - 10.11648/j.be.20220602.16
    T2  - Bioprocess Engineering
    JF  - Bioprocess Engineering
    JO  - Bioprocess Engineering
    SP  - 40
    EP  - 45
    PB  - Science Publishing Group
    SN  - 2578-8701
    UR  - https://doi.org/10.11648/j.be.20220602.16
    AB  - The mass flow rate (MFR) of maize grain is essential in determining appropriate size of orifice for flow control. There are several simulation models for MFR that have been developed. However, there is need for a reliable simulation model for MFR of maize grain through horizontal circular orifices. In this paper, the Beverloo, British Code of Practice (BCP) and Tudor simulation models for MFR were validated. The experimental results used in validation were obtained by discharging 12.0 kg of maize grain (Hybrid 614 variety) through horizontal circular orifices with diameters ranging from 0.040 m to 0.056 m. The time taken for the grain to flow through the orifices was recorded and MFR determined. The moisture content of the maize grain used was 11.4%, wet basis. The actual MFR ranged from 720 kg/h to 1735 kg/h, 650 kg/h to 2006 kg/h for Beverloo, 851 kg/h to 2378 kg/h for BCP and 867 kg/h to 2010 kg/h for Tudor model. The data analysis showed that none of the simulation models results best fitted the experimental. Therefore, New model was established based on MATLAB R2019a curve fitting tool. The New model results corroborated with the experimental. In addition, the models performance evaluation results showed that the New model had higher coefficient of determination (R2 = 0.9965), lower root mean square error (RMSE = 24.8 kg/h), lower absolute residual error (εr = 0.6%) and higher simulation performance at 10% residual error (ηsim,10% = 100%) than Beverloo, BCP and Tudor model. This implied that the New model was more reliable for simulating MFR of maize grain through horizontal circular orifices compared with Beverloo, BCP and Tudor model.
    VL  - 6
    IS  - 2
    ER  - 

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Author Information
  • Department of Agricultural Engineering, Faculty of Engineering and Technology, Egerton University, Nakuru, Kenya

  • Department of Agricultural Engineering, Faculty of Engineering and Technology, Egerton University, Nakuru, Kenya

  • Department of Agricultural Engineering, Faculty of Engineering and Technology, Egerton University, Nakuru, Kenya

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