Determination of Drying Induced Stresses in a Prismatic Bar
In the paper a solution of the two-dimensional problem of convective drying of porous – capillary material is presented. The considered phenomenon is described by a system of coupled differential equations proposed by KOWALSKI [7, 8]. The problem is solved with the use of the finite element method for spatial derivatives and of the three-point finite difference method for derivatives with respect to time. The obtained results with special emphasis on the stress distributions are shown diagrammatically.
References
M.ILIC, I.W.TURNER, Drying of a wet porous material, Appl. Math.Modelling, 10, 2, 16-24, 1986.
M.ILIC, I.W.TURNER, Convective drying of a consolidated slab of wet porous material, Int. J. Heat Mass Transfer, 32, 12, 2351-2362, 1989.
I.W. TURNER, M.ILIC, Convective drying of a consolidated slab of wet porous material including the sorption region, Int. Communications in Heat and Mass Transfer, 17, 1, 39-48, 1990.
R.W.LEWIS, M.STRADA, G.COMINI, Drying induced stresses of porous bodies, Int. J. Numer. Meth. Engng., 11, 1175-1164, 1977.
S.B.NASRALLAH, P.PERBE, Detailed study of a model of heat and mass transfer during convective drying of porous media, Int. J. Heat Mass Transfer, 31, 5, 957-967, 1988.
CZ.STRUMIŁŁO, Fundamentals of the theory and practice of drying [in Polish], PWN, Warszawa 1970.
S.J.KOWALSKI, Thermomechanics of constant drying rate period, Arch. Mech., 39, 3, 157-176, 1987.
S.J.KOWALSKI, Thermomechanics of dried materials, Arch. Mech. 42, 2, 123-149, 1990.
S.J.KOWALSKI, G.MUSIELAK, Problems of mathematical modelling of the drying process for wet porous-capillary media on an example of convective drying of a slab [in Polish], Rozpr. Inżyn., 36, 2, 239-252, 1988.
S.J.KOWALSKI, G.MUSIELAK, A.RYBICKI, Shrinkage stresses in dried materials, Engng. Trans., 40, 1, 115-131, 1992.
M.LESS, A linear three-level difference scheme for quasi-linear parabolic equations, Maths. Comp., 20, 516-622, 1966.
A.R. MITCHELL, R.WAIT, Finite element analysis and applications, J. Wiley and Sons, 1985.
J.BJORCK, G.DOHLQUIST, Numerical methods [in Polish], pp.179-185, PWN 1987.