Dispersion of a solute in pulsatile non-Newtonian fluid flow through a tube

Nagarani, P.; Sebastian, B. T.

doi:10.1007/s00707-012-0753-6

Cited by 30 publications

(17 citation statements)

References 29 publications

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“…The Schmidt number Sc which is the ratio of viscous diffusion to molecular diffusion, is taken as O(10 3 ) (Caro et al 1978;Mazumder & Das 1992;Truskey, Yuan & Katz 2004) in arterial blood flows. In accordance with the physical process considered in the present investigations, the value of Peclet number Pe is considered as 1000 (Mazumder & Das 1992;Nagarani & Sebastian 2013). The variations in axial mean concentration C m has been discussed with the effect of wall absorption, yield stress and flow pulsatility using the expressions given in (3.47) and (3.48a-c).…”

Section: Resultsmentioning

confidence: 98%

“…All the results in the present investigations are shown for three cycles of oscillation. Since the fluctuating pressure component e varies from 0 to 1, its value is taken as 0.5 (Nagarani & Sebastian 2013) in this study. The value FIGURE 1.…”

Section: Resultsmentioning

confidence: 99%

“…In this study, ε is treated as a perturbation parameter to obtain the velocity distribution for small as well as large values of Womersley frequency parameter α. Because of large values of Sc, it is more appropriate to use this non-dimensionalization instead of the one that was given in Nagarani & Sebastian (2013).…”

Section: Governing Equationmentioning

confidence: 98%

“…Nagarani, Sarojamma & Jayaraman (2006) described the dispersion process of solute in the flow of a Casson fluid in an annulus by employing the generalized dispersion model with the effects of the yield stress and the annular gap. Applying the generalized dispersion model, the analysis of unsteady solute dispersion in the pulsatile flow of a Casson fluid in a tube was presented by Nagarani & Sebastian (2013) to determine the dispersion coefficient and the concentration of solute with the effects of Womersley frequency number, Schmidt number, yield stress and fluctuating pressure component. In this study, the effect of first-order reaction catalysed by the tube wall on the dispersion process has not been discussed.…”

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Solute dispersion in pulsatile Casson fluid flow in a tube with wall absorption

Rana

Murthy

2016

J. Fluid Mech.

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The analysis of axial dispersion of solute is presented in a pulsatile flow of Casson fluid through a tube in the presence of interfacial mass transport due to irreversible first-order reaction catalysed by the tube wall. The theory of dispersion is studied by employing the generalized dispersion model proposed by Sankarasubramanian & Gill (Proc. R. Soc. Lond. A, vol. 333 (1592), 1973). This dispersion model describes the whole dispersion process in terms of three effective transport coefficients, i.e. exchange, convection and dispersion coefficients. In the present study, the effects of yield stress of Casson fluid τ y , wall absorption parameter β, amplitude of fluctuating pressure component e and Womersley frequency parameter α on the dispersion process are discussed under the influence of pulsatile pressure gradient. In a pulsatile flow, the plug flow radius changes during the period of oscillation and it has an effect on the dispersion process. Even with the Casson fluid model also, in an oscillatory flow, for small values of α, the dispersion coefficient K 2 is positive, but when the value of α is as large as 3, K 2 takes both positive and negative values due to the fluctuations in the velocity profiles. This nature becomes more predominant for τ y , e and β. It is observed that initially, for small time, the amplitude and magnitude of fluctuations of K 2 becomes more rapid and increases with time but it decreases after certain time and reaches a non-transient state for large time. Like in the case of Newtonian model, double frequency period for K 2 is observed at small time for large values of α with the Casson model for blood. It is seen that critical time for which K 2 reaches a non-transient state is independent of τ y and e but is dependent on α. It is also observed that the axial distribution of mean concentration C m of solute depends on τ y and β. But the effect of e and α on C m is not very significant. This dispersion model in non-Newtonian pulsatile flow can be applied to study the dispersion process in the cardiovascular system and blood oxygenators.

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Section: Resultsmentioning

confidence: 98%

Section: Resultsmentioning

confidence: 99%

Section: Governing Equationmentioning

confidence: 98%

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confidence: 99%

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Solute dispersion in pulsatile Casson fluid flow in a tube with wall absorption

Rana

Murthy

2016

J. Fluid Mech.

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“…Nagarani et al [24] studied the effect of wall absorption on dispersion in Casson fluid flow in a conduit and extended the theory in an annular pipe in the subsequent paper [25]. In recent days, a large number of articles [26][27][28][29] are widely available in the literature to understanding the dispersion process in this respect.…”

Section: Introductionmentioning

confidence: 99%