Cubic spline as a powerful tools for processing experimental drying rate data of seaweed using solar drier

M. K M Ali, J. Sulaiman, S. M. Yasir, Mohd Hafidz Ruslan, Ahmad Fudholi, M. S. Muthuvalu, V. Ramu

Research output: Contribution to journalArticle

Abstract

A solar drying experiment of seaweed, Kappaphycus alvarezii var. Tambalang using v-groove hybrid solar drier (v-GHSD) was conducted in Semporna, Sabah, under the meteorological condition of Malaysia. Drying of the seaweed in the v-GHSD led to a reduction in its moisture content from 85.32% to 38% in 5 days with mean solar radiation of 650 Wm-2 and mass flow rate of approximately 0.27 kg s-1 . Generally, the plots of the drying rate required more smoothing compared to the moisture content data; special care was needed at low drying rates and moisture contents. Here, we show that the cubic spline (CS) can be effective for estimating the drying rate-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 permitted the determination of instantaneous rate. The method of minimizing the function of average risk was used successfully to solve the problem. This method allowed us to obtain the instantaneous rate directly from the experimental data. Mathematical models using the raw data tested with the smoothed CS were found to be reliable estimators of the moisture-time curves as well as for the missing moisture content data of the seaweed.

Original languageEnglish
Pages (from-to)159-172
Number of pages14
JournalMalaysian Journal of Mathematical Sciences
Volume11
Issue numberS
Publication statusPublished - 1 Feb 2017

Fingerprint

Cubic Spline
Drying
Moisture Content
Instantaneous
Regression Splines
Curve
Malaysia
Solar Radiation
Moisture
Second derivative
Flow Rate
Smoothing
Regression
Experimental Data
Mathematical Model
Estimator
Approximation
Experiment

Keywords

  • Drying curve
  • Mathematical modeling
  • Rate
  • Solar drying

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Cubic spline as a powerful tools for processing experimental drying rate data of seaweed using solar drier. / Ali, M. K M; Sulaiman, J.; Yasir, S. M.; Ruslan, Mohd Hafidz; Fudholi, Ahmad; Muthuvalu, M. S.; Ramu, V.

In: Malaysian Journal of Mathematical Sciences, Vol. 11, No. S, 01.02.2017, p. 159-172.

Research output: Contribution to journalArticle

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