FLUID DYNAMICS IN A TUBULAR MEMBRANE: THEORY AND EXPERIMENT
Titel:
FLUID DYNAMICS IN A TUBULAR MEMBRANE: THEORY AND EXPERIMENT
Auteur:
Mellis†, Rainer Gill, William N. Belfort, Georges
Verschenen in:
Chemical engineering communications
Paginering:
Jaargang 122 (1993) nr. 1 pagina's 103-125
Jaar:
1993-04-01
Inhoud:
Measurements of trans-cartridge [axial] pressure drops for pure liquid flowing in a porous tube under all regimes of flow as a function of wall suction and axial flow rate are reported. At very low axial flow rates [ReF≤ 1,000], low values of wall suction [ReW≥ 0.25] have a minimal effect on the non-dimensional axial pressure drop. At very high axial flow rates [ReF≤20,000], however, all values of wall suction have a minimal effect on the axial pressure drop, Wall suction, on the other hand, has its maximum effect on the axial pressure drop at intermediate axial flow rates [1,000 ReF≥15,000]. It is in this range that most commercial membrane modules operate. Starting with the equations of continuity and Navier-Stokes we have developed two relatively simple approximate analytical solutions of this problem. The first approach assumes an average constant wall flux and includes the effect of the inertial terms while the second approach accounts for axial pressure-dependent flux but neglects the inertial terms. Both analytical models are useful qualitatively. However, neither was able to predict performance accurately. The model with constant wall flux and inertia predicts quite well the pressure drop as a function of ReF for low suction (Rew = 0.25)Deviations between model and experiment increased with increasing ReEand ReF. Results from the model with pressure-dependent wall flux but without inertia fluctuated widely about the measurements for increasing Rew. This model is useful only for very small Rew. When the experimental conditions were such that the parabolic profile was distorted [i.e., for ReW≤ 0.5] the theories were invalid and were unable to predict the measurements accurately.