Effect of boundary absorption on dispersion in Casson fluid flow in an annulus: application to catheterized artery

Nagarani, P.; Sarojamma, G.; Jayaraman, G.

doi:10.1007/s00707-008-0013-y

Cited by 24 publications

(8 citation statements)

References 31 publications

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“…The solute dispersion in a Casson fluid flow in a pipe and channel with the combined effect of yield stress and irreversible wall reaction was analysed by Nagarani, Sarojamma & Jayaraman (2004) using the generalized dispersion model. This study was extended by Nagarani, Sarojamma & Jayaraman (2009) in a Casson fluid flow in an annulus which has an application to catheterized artery under the presence of boundary reaction. But these studies of Nagarani et al (2004Nagarani et al ( , 2009) were found to be applicable only for large time after the injection of the solute.…”

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confidence: 98%

“…This study was extended by Nagarani, Sarojamma & Jayaraman (2009) in a Casson fluid flow in an annulus which has an application to catheterized artery under the presence of boundary reaction. But these studies of Nagarani et al (2004Nagarani et al ( , 2009) were found to be applicable only for large time after the injection of the solute. 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.…”

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

Rana

Murthy

2016

J. Fluid Mech.

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“…This study was extended by Dash et al [23] for Casson fluids using the generalized dispersion model and they discussed the application of their study in blood flow analysis. 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.…”

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confidence: 99%

Unsteady Convective Diffusion with Interphase Mass Transfer in Casson Liquid

Roy

Saha

Debnath

2017

Period. Polytech. Chem. Eng.

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“…An investigation of scattering in non-Newtonian liquid (Bingham, Casson, and Power Law Fluids), with a view to understanding the rheology of blood on the dispersion process, was conducted by Sharp and then by Dash et al [21]. The theory is extended by Nagarani et al [22] incorporating wall absorption through a pipe, and again, it has extended to the annular pipe in a subsequent paper [23]. The authors [24] likewise concentrated the dispersion phenomena in Casson liquid through a conduit by applying the generalized dispersion model and establishing the functional relationship of a dispersion coefficient with a Womersley frequency number, Schmidt number, yield stress, and fluctuating pressure component.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic Dispersion of Solute under Homogeneous and Heterogeneous Reactions

Roy¹,

Saha²,

Debnath³

2019

IJHT

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The present investigation deals with Taylor dispersion of reactive species in Casson liquid in an oscillatory flow because of the pulsatile pressure gradient. The solute is considered to be chemically active at the boundary and also participate a first order reaction within the bulk flow. To evaluate transport coefficients, Aris-Barton moment technique is considered. The solute transport process is discoursed in detailed with respect to yield stress, chemical reaction parameter, Womersly number etc. The study reveals that both wall absorption and bulk flow reaction have a significant response on dispersion phenomena. Both the chemical reactions agree to diminish the negative exchange coefficient and the apparent dispersion coefficient, however, increases the negative convection coefficient. The negative exchange coefficient is independent of yield stress but a significant variation is observed due to yield stress in the cases of negative convection coefficient and the apparent dispersion coefficient. The axial distribution of mean concentration is approximated by using the Hermite polynomial representation of central moments as a function of reaction rate parameters, wall absorbing parameter, yield stress etc. The present article may be useful for the studies related to physiological blood flow analysis.

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Effect of boundary absorption on dispersion in Casson fluid flow in an annulus: application to catheterized artery

Cited by 24 publications

References 31 publications

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

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

Unsteady Convective Diffusion with Interphase Mass Transfer in Casson Liquid

Hydrodynamic Dispersion of Solute under Homogeneous and Heterogeneous Reactions

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