# A mathematical model for simulation of softwood drying in temperatures above boiling point of water with special attention to the boundary conditions

Antti Hukka

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

### Abstract

A mathematical model for simulation of softwood drying also in temperatures exceeding the boiling point of water is presented. The equations are formulated in a conservative form based on the classical volume averaging technique with an addition of a pressure-driven moisture flux in the boundary condition. Numerical results using the control volume method are presented to show that this term missing in existing simulation models may account far the calculated build up of moisture at the very surface of a wood board. The possibility of neglecting the air- phase in the calculation of total gaseous pressure is investigated by means of an example. It shows that the effect of air pressure is only of very litde importance in the case of transversal flow in moderate temperatures.
Original language English 1719-1732 14 Drying Technology 14 7-8 https://doi.org/10.1080/07373939608917169 Published - 1996 A1 Journal article-refereed

### Fingerprint

Softwoods
Boiling point
boiling
drying
mathematical models
Drying
Boundary conditions
Mathematical models
boundary conditions
moisture
Water
Moisture
water
simulation
air
Air
Temperature
temperature
Wood
Fluxes

### Keywords

• drying simulation
• high-temperature drying
• moisture
• transport
• wood drying

### Cite this

title = "A mathematical model for simulation of softwood drying in temperatures above boiling point of water with special attention to the boundary conditions",
abstract = "A mathematical model for simulation of softwood drying also in temperatures exceeding the boiling point of water is presented. The equations are formulated in a conservative form based on the classical volume averaging technique with an addition of a pressure-driven moisture flux in the boundary condition. Numerical results using the control volume method are presented to show that this term missing in existing simulation models may account far the calculated build up of moisture at the very surface of a wood board. The possibility of neglecting the air- phase in the calculation of total gaseous pressure is investigated by means of an example. It shows that the effect of air pressure is only of very litde importance in the case of transversal flow in moderate temperatures.",
keywords = "drying simulation, high-temperature drying, moisture, transport, wood drying",
author = "Antti Hukka",
year = "1996",
doi = "10.1080/07373939608917169",
language = "English",
volume = "14",
pages = "1719--1732",
journal = "Drying Technology",
issn = "0737-3937",
publisher = "Marcel Dekker Inc.",
number = "7-8",

}

In: Drying Technology, Vol. 14, No. 7-8, 1996, p. 1719-1732.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - A mathematical model for simulation of softwood drying in temperatures above boiling point of water with special attention to the boundary conditions

AU - Hukka, Antti

PY - 1996

Y1 - 1996

N2 - A mathematical model for simulation of softwood drying also in temperatures exceeding the boiling point of water is presented. The equations are formulated in a conservative form based on the classical volume averaging technique with an addition of a pressure-driven moisture flux in the boundary condition. Numerical results using the control volume method are presented to show that this term missing in existing simulation models may account far the calculated build up of moisture at the very surface of a wood board. The possibility of neglecting the air- phase in the calculation of total gaseous pressure is investigated by means of an example. It shows that the effect of air pressure is only of very litde importance in the case of transversal flow in moderate temperatures.

AB - A mathematical model for simulation of softwood drying also in temperatures exceeding the boiling point of water is presented. The equations are formulated in a conservative form based on the classical volume averaging technique with an addition of a pressure-driven moisture flux in the boundary condition. Numerical results using the control volume method are presented to show that this term missing in existing simulation models may account far the calculated build up of moisture at the very surface of a wood board. The possibility of neglecting the air- phase in the calculation of total gaseous pressure is investigated by means of an example. It shows that the effect of air pressure is only of very litde importance in the case of transversal flow in moderate temperatures.

KW - drying simulation

KW - high-temperature drying

KW - moisture

KW - transport

KW - wood drying

U2 - 10.1080/07373939608917169

DO - 10.1080/07373939608917169

M3 - Article

VL - 14

SP - 1719

EP - 1732

JO - Drying Technology

JF - Drying Technology

SN - 0737-3937

IS - 7-8

ER -