# Stochastic finite-element analysis of coupled heat and mass transfer problems with random field parameters

## Abstract

A first-order perturbation algorithm for the computation of mean values and variances of transient temperature and moisture fields during coupled heat and mass transfer problems with random field parameters has been developed and implemented. The algorithm is based on the Galerkin finite-element discretization of Luikov's heat and mass transfer equations for capillary porous bodies and is computationally less demanding than the Monte Carlo method. The algorithm has been programmed in MATLAB and applied to a published test case of a drying process for soybean kernels. The simulations indicate that the stochastic fluctuations of the thermophysical properties and the process conditions may cause a considerable level of uncertainty in the predicted temperatures and moisture contents inside the product.

- Authors:

- Publication Date:

- Research Org.:
- Katholieke Univ. Leuven (BE)

- OSTI Identifier:
- 20067735

- Alternate Identifier(s):
- OSTI ID: 20067735

- Resource Type:
- Journal Article

- Journal Name:
- Numerical Heat Transfer. Part B, Fundamentals

- Additional Journal Information:
- Journal Volume: 37; Journal Issue: 3; Other Information: PBD: Apr-May 2000; Journal ID: ISSN 1040-7790

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION; FOOD INDUSTRY; OPTIMIZATION; STOCHASTIC PROCESSES; HEAT TRANSFER; MASS TRANSFER; ALGORITHMS; FINITE ELEMENT METHOD; POROUS MATERIALS; DRYING; MOISTURE

### Citation Formats

```
Scheerlinck, N., Verboven, P., Stigter, J.D., De Baerdemaeker, J., Van Impe, J.F., and Nicolaie, B.M.
```*Stochastic finite-element analysis of coupled heat and mass transfer problems with random field parameters*. United States: N. p., 2000.
Web. doi:10.1080/104077900275422.

```
Scheerlinck, N., Verboven, P., Stigter, J.D., De Baerdemaeker, J., Van Impe, J.F., & Nicolaie, B.M.
```*Stochastic finite-element analysis of coupled heat and mass transfer problems with random field parameters*. United States. doi:10.1080/104077900275422.

```
Scheerlinck, N., Verboven, P., Stigter, J.D., De Baerdemaeker, J., Van Impe, J.F., and Nicolaie, B.M. Mon .
"Stochastic finite-element analysis of coupled heat and mass transfer problems with random field parameters". United States. doi:10.1080/104077900275422.
```

```
@article{osti_20067735,
```

title = {Stochastic finite-element analysis of coupled heat and mass transfer problems with random field parameters},

author = {Scheerlinck, N. and Verboven, P. and Stigter, J.D. and De Baerdemaeker, J. and Van Impe, J.F. and Nicolaie, B.M.},

abstractNote = {A first-order perturbation algorithm for the computation of mean values and variances of transient temperature and moisture fields during coupled heat and mass transfer problems with random field parameters has been developed and implemented. The algorithm is based on the Galerkin finite-element discretization of Luikov's heat and mass transfer equations for capillary porous bodies and is computationally less demanding than the Monte Carlo method. The algorithm has been programmed in MATLAB and applied to a published test case of a drying process for soybean kernels. The simulations indicate that the stochastic fluctuations of the thermophysical properties and the process conditions may cause a considerable level of uncertainty in the predicted temperatures and moisture contents inside the product.},

doi = {10.1080/104077900275422},

journal = {Numerical Heat Transfer. Part B, Fundamentals},

issn = {1040-7790},

number = 3,

volume = 37,

place = {United States},

year = {2000},

month = {5}

}