Mathematical modelling for the drying method and smoothing drying rate using cubic spline for seaweed Kappaphycus Striatum variety Durian in a solar dryer

M. K M Ali, Mohd Hafidz Ruslan, M. S. Muthuvalu, J. Wong, J. Sulaiman, S. Md Yasir

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The solar drying experiment of seaweed using Green V-Roof Hybrid Solar Drier (GVRHSD) was conducted in Semporna, Sabah under the metrological condition in Malaysia. Drying of sample seaweed in GVRHSD reduced the moisture content from about 93.4% to 8.2% in 4 days at average solar radiation of about 600W/m2 and mass flow rate about 0.5 kg/s. Generally the plots of drying rate need more smoothing compared moisture content data. Special cares is needed at low drying rates and moisture contents. It is shown the cubic spline (CS) have been found to be effective for moisture-time curves. The idea of this method consists of an approximation of data by a CS regression having first and second derivatives. The analytical differentiation of the spline regression permits the determination of instantaneous rate. The method of minimization of the functional of average risk was used successfully to solve the problem. This method permits to obtain the instantaneous rate to be obtained directly from the experimental data. The drying kinetics was fitted with six published exponential thin layer drying models. The models were fitted using the coefficient of determination (R2), and root mean square error (RMSE). The modeling of models using raw data tested with the possible of exponential drying method. The result showed that the model from Two Term was found to be the best models describe the drying behavior. Besides that, the drying rate smoothed using CS shows to be effective method for moisture-time curves good estimators as well as for the missing moisture content data of seaweed Kappaphycus Striatum Variety Durian in Solar Dryer under the condition tested.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
PublisherAmerican Institute of Physics Inc.
Pages113-120
Number of pages8
Volume1602
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur
Duration: 17 Dec 201319 Dec 2013

Other

Other3rd International Conference on Mathematical Sciences, ICMS 2013
CityKuala Lumpur
Period17/12/1319/12/13

Fingerprint

seaweeds
drying apparatus
splines
smoothing
drying
moisture content
roofs
moisture
regression analysis
Malaysia
root-mean-square errors
mass flow rate
curves
solar radiation
estimators
plots

Keywords

  • CS
  • Drying curve
  • Mathematical modeling
  • Moisture content
  • Rate data
  • Seaweed kappaphycus striatum variety durian
  • Smoothing
  • Solar drying

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ali, M. K. M., Ruslan, M. H., Muthuvalu, M. S., Wong, J., Sulaiman, J., & Yasir, S. M. (2014). Mathematical modelling for the drying method and smoothing drying rate using cubic spline for seaweed Kappaphycus Striatum variety Durian in a solar dryer. In AIP Conference Proceedings (Vol. 1602, pp. 113-120). American Institute of Physics Inc.. https://doi.org/10.1063/1.4882475

Mathematical modelling for the drying method and smoothing drying rate using cubic spline for seaweed Kappaphycus Striatum variety Durian in a solar dryer. / Ali, M. K M; Ruslan, Mohd Hafidz; Muthuvalu, M. S.; Wong, J.; Sulaiman, J.; Yasir, S. Md.

AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. p. 113-120.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ali, MKM, Ruslan, MH, Muthuvalu, MS, Wong, J, Sulaiman, J & Yasir, SM 2014, Mathematical modelling for the drying method and smoothing drying rate using cubic spline for seaweed Kappaphycus Striatum variety Durian in a solar dryer. in AIP Conference Proceedings. vol. 1602, American Institute of Physics Inc., pp. 113-120, 3rd International Conference on Mathematical Sciences, ICMS 2013, Kuala Lumpur, 17/12/13. https://doi.org/10.1063/1.4882475
Ali MKM, Ruslan MH, Muthuvalu MS, Wong J, Sulaiman J, Yasir SM. Mathematical modelling for the drying method and smoothing drying rate using cubic spline for seaweed Kappaphycus Striatum variety Durian in a solar dryer. In AIP Conference Proceedings. Vol. 1602. American Institute of Physics Inc. 2014. p. 113-120 https://doi.org/10.1063/1.4882475
Ali, M. K M ; Ruslan, Mohd Hafidz ; Muthuvalu, M. S. ; Wong, J. ; Sulaiman, J. ; Yasir, S. Md. / Mathematical modelling for the drying method and smoothing drying rate using cubic spline for seaweed Kappaphycus Striatum variety Durian in a solar dryer. AIP Conference Proceedings. Vol. 1602 American Institute of Physics Inc., 2014. pp. 113-120
@inproceedings{75baccceec21439491d96f04962aadaf,
title = "Mathematical modelling for the drying method and smoothing drying rate using cubic spline for seaweed Kappaphycus Striatum variety Durian in a solar dryer",
abstract = "The solar drying experiment of seaweed using Green V-Roof Hybrid Solar Drier (GVRHSD) was conducted in Semporna, Sabah under the metrological condition in Malaysia. Drying of sample seaweed in GVRHSD reduced the moisture content from about 93.4{\%} to 8.2{\%} in 4 days at average solar radiation of about 600W/m2 and mass flow rate about 0.5 kg/s. Generally the plots of drying rate need more smoothing compared moisture content data. Special cares is needed at low drying rates and moisture contents. It is shown the cubic spline (CS) have been found to be effective for moisture-time curves. The idea of this method consists of an approximation of data by a CS regression having first and second derivatives. The analytical differentiation of the spline regression permits the determination of instantaneous rate. The method of minimization of the functional of average risk was used successfully to solve the problem. This method permits to obtain the instantaneous rate to be obtained directly from the experimental data. The drying kinetics was fitted with six published exponential thin layer drying models. The models were fitted using the coefficient of determination (R2), and root mean square error (RMSE). The modeling of models using raw data tested with the possible of exponential drying method. The result showed that the model from Two Term was found to be the best models describe the drying behavior. Besides that, the drying rate smoothed using CS shows to be effective method for moisture-time curves good estimators as well as for the missing moisture content data of seaweed Kappaphycus Striatum Variety Durian in Solar Dryer under the condition tested.",
keywords = "CS, Drying curve, Mathematical modeling, Moisture content, Rate data, Seaweed kappaphycus striatum variety durian, Smoothing, Solar drying",
author = "Ali, {M. K M} and Ruslan, {Mohd Hafidz} and Muthuvalu, {M. S.} and J. Wong and J. Sulaiman and Yasir, {S. Md}",
year = "2014",
doi = "10.1063/1.4882475",
language = "English",
isbn = "9780735412361",
volume = "1602",
pages = "113--120",
booktitle = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",

}

TY - GEN

T1 - Mathematical modelling for the drying method and smoothing drying rate using cubic spline for seaweed Kappaphycus Striatum variety Durian in a solar dryer

AU - Ali, M. K M

AU - Ruslan, Mohd Hafidz

AU - Muthuvalu, M. S.

AU - Wong, J.

AU - Sulaiman, J.

AU - Yasir, S. Md

PY - 2014

Y1 - 2014

N2 - The solar drying experiment of seaweed using Green V-Roof Hybrid Solar Drier (GVRHSD) was conducted in Semporna, Sabah under the metrological condition in Malaysia. Drying of sample seaweed in GVRHSD reduced the moisture content from about 93.4% to 8.2% in 4 days at average solar radiation of about 600W/m2 and mass flow rate about 0.5 kg/s. Generally the plots of drying rate need more smoothing compared moisture content data. Special cares is needed at low drying rates and moisture contents. It is shown the cubic spline (CS) have been found to be effective for moisture-time curves. The idea of this method consists of an approximation of data by a CS regression having first and second derivatives. The analytical differentiation of the spline regression permits the determination of instantaneous rate. The method of minimization of the functional of average risk was used successfully to solve the problem. This method permits to obtain the instantaneous rate to be obtained directly from the experimental data. The drying kinetics was fitted with six published exponential thin layer drying models. The models were fitted using the coefficient of determination (R2), and root mean square error (RMSE). The modeling of models using raw data tested with the possible of exponential drying method. The result showed that the model from Two Term was found to be the best models describe the drying behavior. Besides that, the drying rate smoothed using CS shows to be effective method for moisture-time curves good estimators as well as for the missing moisture content data of seaweed Kappaphycus Striatum Variety Durian in Solar Dryer under the condition tested.

AB - The solar drying experiment of seaweed using Green V-Roof Hybrid Solar Drier (GVRHSD) was conducted in Semporna, Sabah under the metrological condition in Malaysia. Drying of sample seaweed in GVRHSD reduced the moisture content from about 93.4% to 8.2% in 4 days at average solar radiation of about 600W/m2 and mass flow rate about 0.5 kg/s. Generally the plots of drying rate need more smoothing compared moisture content data. Special cares is needed at low drying rates and moisture contents. It is shown the cubic spline (CS) have been found to be effective for moisture-time curves. The idea of this method consists of an approximation of data by a CS regression having first and second derivatives. The analytical differentiation of the spline regression permits the determination of instantaneous rate. The method of minimization of the functional of average risk was used successfully to solve the problem. This method permits to obtain the instantaneous rate to be obtained directly from the experimental data. The drying kinetics was fitted with six published exponential thin layer drying models. The models were fitted using the coefficient of determination (R2), and root mean square error (RMSE). The modeling of models using raw data tested with the possible of exponential drying method. The result showed that the model from Two Term was found to be the best models describe the drying behavior. Besides that, the drying rate smoothed using CS shows to be effective method for moisture-time curves good estimators as well as for the missing moisture content data of seaweed Kappaphycus Striatum Variety Durian in Solar Dryer under the condition tested.

KW - CS

KW - Drying curve

KW - Mathematical modeling

KW - Moisture content

KW - Rate data

KW - Seaweed kappaphycus striatum variety durian

KW - Smoothing

KW - Solar drying

UR - http://www.scopus.com/inward/record.url?scp=84904097118&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904097118&partnerID=8YFLogxK

U2 - 10.1063/1.4882475

DO - 10.1063/1.4882475

M3 - Conference contribution

SN - 9780735412361

VL - 1602

SP - 113

EP - 120

BT - AIP Conference Proceedings

PB - American Institute of Physics Inc.

ER -