Studies on the washing process have been mainly conducted experimentally, and only a few numerical approaches have been studied. Previous numerical studies on the washing process have focused on analyzing the dynamic behavior of laundry; however, no study has been reported on the detergency caused by the dynamic behavior of laundry. In this study, we predicted the detergency due to the dynamic behavior of the fabrics in a front-loading washing machine using discrete element method simulations and compared the prediction with that of the washing experiments. In addition, the agreement between the experimental and simulated detergencies was high, with a correlation coefficient of 99%. The detergency in the experiment was successfully predicted with power consumption of laundry calculated by the simulations. The lower detergency for larger amounts of fabric was mainly due to reduced normal contact. This study describes the first framework for front-loading washing machine simulations using the discrete element method.
TürkayOSSümerITTuǧcuAKet al.
Modeling and experimental assessment of suspension dynamics of a horizontal-axis washing machine. J Vib Acoust1998;
120: 534–543.
2.
BuenoLLasoCAmadorCet al.
Modelling the kinetics of stain removal from knitted cotton fabrics in a commercial front loader washing machine (FLWM). Chem Eng Sci2019;
200: 176–185.
3.
LeeASeoMHYangSet al.
The effects of mechanical actions on washing efficiency. Fibers Polym2008;
9: 101–106.
4.
YunC andParkCH.The effect of fabric movement on washing performance in a front-loading washer II: under various physical washing conditions. Text Res J2015;
85: 251–261.
5.
OlsenHS andFalholtP.The role of enzymes in modern detergency. J Surfact Deterg1998;
1: 555–567.
6.
HedbergJLundinMLoweTet al.
Interactions between surfactants and silver nanoparticles of varying charge. J Colloid Interface Sci2012;
369: 193–201.
7.
BajpaiD andTyagiVK.Laundry detergents: an overview. J Oleo Sci2007;
56: 327–340.
8.
ShinSWarrenPB andStoneHA.Cleaning by surfactant gradients: particulate removal from porous materials and the significance of rinsing in laundry detergency. Phys Rev Appl2018;
9: 034012.
9.
KissaE.Kinetics of oily soil release. Text Res J1971;
41: 760–767.
10.
GrindstaffTHPattersonHT andBillicaHR.Studies of soiling and detergency. Text Res J1970;
40: 35–42.
11.
TagawaY andGotohK,
Removal of carbon black particles from polymer substrates in water/ethanol mixtures. J Oleo Sci2010;
59: 109–112.
12.
MathesonKLCoxMF andSmithDL.Interactions between linear alkylbenzene sulfonates and water hardness ions. I. Effect of calcium ion on surfactant solubility and implications for detergency performance. J Am Oil Chem Soc1985;
62: 1391–1396.
13.
SmithDLMathesonKL andCoxMF.Interactions between linear alkyl benzene sulfonates and water hardness ions. III. Solubilization and performance characteristics of Ca(LAS) 2. J Am Oil Chem Soc1985;
62: 1399–1402.
14.
Badrul HasanMMCalvimontesA andDutschkV.Correlation between wettability and cleanability of polyester fabrics modified by a soil release polymer and their topographic structure. J Surfact Deterg2009;
12: 285–294.
15.
PonnusamyTDubalSA andMominSA.Studies in detergency: influence of different factors for removing motor oil stain from the cotton fabric. J. Dispers Sci Technol2008;
29: 1123–1128.
16.
YunCParkS andParkCH.The effect of fabric movement on washing performance in a front-loading washer. Text Res J2013;
83: 1786–1795.
17.
YunC andParkCH.The effect of fabric movement on washing performance in a front-loading washer III: focus on the optimized movement algorithm. Text Res J2016;
86: 563–572.
18.
ChoYYunC andParkCH.The effect of fabric movement on washing performance in a front-loading washer IV: under 3.25-kg laundry load condition. Text Res J2017;
87: 1071–1080.
19.
YunCChoiHRParkSet al.
The effect of fabric movement on washing performance in a front-loading washer V: focusing on the role and shape of the lifter. Text Res J2019;
89: 364–374.
20.
LiuHGongRHXuPet al.
The impact of rotational speed and water volume on textile translational motion in a front-loading washer. Text Res J2019;
89: 3401–3410.
21.
WardD.Modelling of a horizontal-axis domestic washing machine. J Text Inst2000;
91: 207–234.
22.
ParkJ andWassgrenCR.Modeling the dynamics of fabric in a rotating horizontal drum using the discrete element method. Part Sci Technol2003;
21: 157–175.
23.
ParkJ. Modeling the dynamics of fabric in a rotating horizontal drum. Doctoral Dissertation, Purdue University, West Lafayette, USA, 2003.
TetikTYildizRLabaniehAet al.
Hydrodynamic modeling of e-textile fabric washing behavior by the coupled Eulerian–Lagrangian method. Text Res J2021;
91: 1117–1131.
26.
AcharyaA.A distinct element approach to ball mill mechanics. Commun Numer Meth Eng2000;
16: 743–753.
27.
ClearyP.Modelling comminution devices using DEM. Int J Numer Anal Meth Geomech2001;
25: 83–105.
28.
FayedM andOttenL.Handbook of Powder Science and Technology.
New York:
Springer, 2013.
29.
HongS-H andKimB-K.Effects of lifter bars on the ball motion and aluminum foil milling in tumbler ball mill. Mater Lett2002;
57: 275–279.
30.
BurmeisterCFStolleASchmidtRet al.
Experimental and computational investigation of Knoevenagel condensation in planetary ball mills. Chem Eng Technol2014;
37: 857–864.
31.
BurmeisterCFSchmidtRJacobKet al.
Effect of stressing conditions on mechanochemical Knoevenagel synthesis. Chem Eng J2020;
396: 124578.
32.
ClearyPW andHoyerD.Centrifugal mill charge motion and power draw: comparison of DEM predictions with experiment. Int J Miner Process2000;
59: 131–148.
33.
ŻakK andKobielarzM. The mechanical properties of fibres and yarns in different group of animals. In: 9th Youth Symposium on Experimental Solid Mechanics, Trieste, Italy, 7–9 July 2010, pp. 219–221.
34.
BurnsSJPiiroinenPT andHanleyKJ.Critical time step for DEM simulations of dynamic systems using a Hertzian contact model. Int J Numer Methods Eng2019;
119: 432–451.
35.
GovenderIRichterMCMainzaANet al.
A positron emission particle tracking investigation of the scaling law governing free surface flows in tumbling mills. AIChE J2017;
63: 903–913.
