Taylor diffusion in a falling film of a non-Newtonian liquid

Gupta, A.; Mazumder, B. S.

doi:10.1016/0017-9310(77)90155-7

Cited by 4 publications

(1 citation statement)

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“…Ghosal [9] and Shah and Cox [10] analysed dispersion in pipe flow of an Eyring model fluid following the Taylor's model. Gupta an~ Majumdar [11] considered the Taylor's dispersion in a fglling film of an Eyring fluid using the method of moments. Effe, ct of a homogeneous first order chemical reaction on t~e dispersion has been considered by Dutta et al [12] The objective of the present work is to study the dispersion of a uniform slug of solute injected in an Eyring model fluid flowing through a parallel-plate channel.…”

Section: Introductionmentioning

confidence: 99%

Exact analysis of laminar dispersion in non-Newtonian flow

Dutta

Rây

Barman

1988

Wärme- und Stoffübertragung

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Abstract. An exact analysis is presented for dispersion of a solute in an Eyring model fluid flowing between two parallel plates under uniform pressure gradient. Using a generalised dispersion model, which is valid for all time after injection of the solute, expressions have been developed for the time-dependent longitudinal dispersion coefficient as well as of the area-mean concentration. It is observed that the dispersion coefficient markedly decreases as the fluid parameter G increases, which is attributable to the gradual flattening of the velocity profile. Consequently the concentration distribution becomes steeper at larger G. It is also established that for G < 1, the extent of dispersion is practically same as in the case of Newtonian flow. Exakte Analyse einer laminaren Dispersion in einer Nicht-Newtonschen StriimungZusammenfassung. Es wird eine exakte Analyse ffir eine Dispersion in einer ,,Eyring-Modellflfissigkeit" vorgestellt, die zwischen zwei parallelen Platten unter gleichm/igigem Druckgeffille fliegt. Es wurden sowohl Formeln fiir den zeitabhfingigen Longitudinaldispersionskoeffizienten, als auch fiir die mittlere Umgebungskonzentration entwickelt, wobei ein allgemeines Dispersionsmodell benutzt wurde, welches flit den ganzen Zeitraum nach dem Einleiten der L6sung giiltig ist. Es wird beobachtet, dab der Dispersionskoeffizient deutlich abnimmt, wenn der F1/issigkeitsparameter G sich erh6ht, was bezeichnend ffir die allmfihliche Abflachung des Geschwindigkeitsprofils ist. Folglich wird die Konzentrationsverteilung mit steigendem G steiler. Es wurde bewiesen, dab ffir G < 1 die Ausdehnung der Dispersion praktisch mit der Newtonschen Str6-mung identisch ist.

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Section: Introductionmentioning

confidence: 99%