<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The existence of floating ice in ice storage tanks in an ice storage system affects the normal operation of the ice storage automatic control system. For the ice storage tank in an ice storage system, the ice “problem”, puts forward the way of melting ice in an ultrasonic assisted manner. This paper establishes a polynomial mathematical model of observation data changes over time, by setting a variable’s value used to model the polynomial fitting method. It could be used in the design and operation index model or higher polynomial model fitting process of melting ice. Ultrasonic wave is used to solve the floating ice problem of ice storage tank in the operation of ice storage, and the effects of ultrasonic power density, ice-water ratio, ice size, initial ice amount and other parameters on the characteristics of ice melting are tested and analysed through experiments, which provides an important reference for the practical application of this technology. It is found that the ultrasonic wave can obviously promote and strengthen the melting of ice, and the influence of power, ice–water ratio and ice size conforms to the normal theory and practice law. The greater the power, the smaller the ice–water ratio and the smaller the ice size, the faster the melting speed will be. Due to the multiple effects of technology and economy, the power density has an optimal value, which needs to be optimised according to the actual situation in the application. For large size ice, the promotion effect of high-power ultrasonic on melting ice is more obvious.</p>
</abstract>

The existence of floating ice in ice storage tanks in an ice storage system affects the normal operation of the ice storage automatic control system. For the ice storage tank in an ice storage system, the ice “problem”, puts forward the way of melting ice in an ultrasonic assisted manner. This paper establishes a polynomial mathematical model of observation data changes over time, by setting a variable’s value used to model the polynomial fitting method. It could be used in the design and operation index model or higher polynomial model fitting process of melting ice. Ultrasonic wave is used to solve the floating ice problem of ice storage tank in the operation of ice storage, and the effects of ultrasonic power density, ice-water ratio, ice size, initial ice amount and other parameters on the characteristics of ice melting are tested and analysed through experiments, which provides an important reference for the practical application of this technology. It is found that the ultrasonic wave can obviously promote and strengthen the melting of ice, and the influence of power, ice–water ratio and ice size conforms to the normal theory and practice law. The greater the power, the smaller the ice–water ratio and the smaller the ice size, the faster the melting speed will be. Due to the multiple effects of technology and economy, the power density has an optimal value, which needs to be optimised according to the actual situation in the application. For large size ice, the promotion effect of high-power ultrasonic on melting ice is more obvious.

Ultrasonic wave promoting ice melt in ice storage tank based on polynomial fitting calculation model

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

The existence of floating ice in ice storage tanks in an ice storage system affects the normal operation of the ice storage automatic control system. For the...

Condition variables		Exponential fitting	Logarithmic fitting	Polynomial fitting
Fixed amount	Change the amount	Exponential fitting	Logarithmic fitting	2 times	3 times	4 times
The ice-water ratio is 0.2, the initial ice amount is 2.3 kg, and the size is large	Water power 0 w/kg	0.9825	0.9707	0.9732	0.998	0.9998
	Water power 16 w/kg	0.9724	0.9804	0.9829	0.9982	0.9998
	Water power 28 w/kg	0.9695	0.976	0.9855	0.9981	0.9998
	Water power 40 w/kg	0.9752	0.982	0.9915	0.9998	1
Power 16 W/kg water, initial ice volume 2.3 kg, large size	Ice water ratio of 0.04	0.9698	0.8382	0.9507	1	1
	Ice water ratio of 0.06	0.9772	0.7987	0.8776	0.9742	0.9971
	Ice water ratio of 0.1	0.9845	0.8755	0.9198	0.9848	0.9991
	Ice water ratio of 0.2	0.9724	0.9804	0.9829	0.9982	0.9998
The ice-water ratio was 0.2, and the initial ice volume was 2.3 kg	Power 16 W/kg water + large size	0.9734	0.9804	0.9829	0.9982	0.9998
	Power 16 W/kg water + small size	0.9792	0.9646	0.9776	0.9985	0.9999
	Power 40 W/kg water + large size	0.9752 40	0.982	0.9915	0.9998	1
	Power W/kg water + small size	0.9735 40	0.9504	0.9782	0.9981	1

Ultrasonic wave promoting ice melt in ice storage tank based on polynomial fitting calculation model

Pubblicato online: 22 nov 2021

Pagine: 447 - 456

Ricevuto: 06 giu 2021

Accettato: 24 set 2021

DOI: https://doi.org/10.2478/amns.2021.1.00103

Parole chiave
ice storage, ultrasonic wave, melting ice, power density

© 2021 Chengjun Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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Ice-melting curve fitting R2 value table

Ultrasonic wave promoting ice melt in ice storage tank based on polynomial fitting calculation model

Pubblicato online: 22 nov 2021

Pagine: 447 - 456

Ricevuto: 06 giu 2021

Accettato: 24 set 2021

DOI: https://doi.org/10.2478/amns.2021.1.00103

Parole chiaveice storage, ultrasonic wave, melting ice, power density

© 2021 Chengjun Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Ice-melting curve fitting R2 value table

Parole chiave
ice storage, ultrasonic wave, melting ice, power density