# Drying of solids: The infinite slab condition

## Abstract

Fourier's second law was solved using convective boundary conditions without considering the shrinkage of the solid. The solutions for a finite and an infinite slab were compared to determine the dimensions for a slab to be considered as infinite. The solutions obtained for Bi = 0.1 and Bi = 100 correspond to heat and mass transfer-controlled processes, respectively, during drying. The results show that the finite slab cannot be considered as infinite, even for R{sub 2}/R{sub 1} > 20. The relative error obtained when the finite slab was assumed to be infinite was not significant for small Fourier numbers, but it increased as the Fourier number increased; errors were also higher for higher Biot numbers. When the numerical solution of a drying model was obtained for finite and infinite slabs, significant differences in drying kinetics and temperature evolution were observed.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of California, Davis, CA (US)

- OSTI Identifier:
- 20076038

- Alternate Identifier(s):
- OSTI ID: 20076038

- Resource Type:
- Journal Article

- Journal Name:
- Drying Technology

- Additional Journal Information:
- Journal Volume: 18; Journal Issue: 4-5; Other Information: PBD: Apr-May 2000; Journal ID: ISSN 0737-3937

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; SLABS; DRYING; MATHEMATICAL MODELS; CALCULATION METHODS; ERRORS; ENERGY EFFICIENCY

### Citation Formats

```
Rovedo, C.O., and Viollaz, P.E.
```*Drying of solids: The infinite slab condition*. United States: N. p., 2000.
Web. doi:10.1080/07373930008917750.

```
Rovedo, C.O., & Viollaz, P.E.
```*Drying of solids: The infinite slab condition*. United States. doi:10.1080/07373930008917750.

```
Rovedo, C.O., and Viollaz, P.E. Mon .
"Drying of solids: The infinite slab condition". United States. doi:10.1080/07373930008917750.
```

```
@article{osti_20076038,
```

title = {Drying of solids: The infinite slab condition},

author = {Rovedo, C.O. and Viollaz, P.E.},

abstractNote = {Fourier's second law was solved using convective boundary conditions without considering the shrinkage of the solid. The solutions for a finite and an infinite slab were compared to determine the dimensions for a slab to be considered as infinite. The solutions obtained for Bi = 0.1 and Bi = 100 correspond to heat and mass transfer-controlled processes, respectively, during drying. The results show that the finite slab cannot be considered as infinite, even for R{sub 2}/R{sub 1} > 20. The relative error obtained when the finite slab was assumed to be infinite was not significant for small Fourier numbers, but it increased as the Fourier number increased; errors were also higher for higher Biot numbers. When the numerical solution of a drying model was obtained for finite and infinite slabs, significant differences in drying kinetics and temperature evolution were observed.},

doi = {10.1080/07373930008917750},

journal = {Drying Technology},

issn = {0737-3937},

number = 4-5,

volume = 18,

place = {United States},

year = {2000},

month = {5}

}