Application of the second-order fluid model to estimate factors affecting clearance of small and middle uremic molecules using combined ultrafiltration and diffusion processes

Bhatti, Kaleemullah; Siddiqui, Abdul Majeed; Bano, Zarqa

doi:10.1016/j.cjph.2023.08.018

Chinese Journal of Physics

2023

DOI: 10.1016/j.cjph.2023.08.018

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Application of the second-order fluid model to estimate factors affecting clearance of small and middle uremic molecules using combined ultrafiltration and diffusion processes

Kaleemullah Bhatti,

Abdul Majeed Siddiqui,

Zarqa Bano

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A Three-Dimensional Velocity Field Related to a Generalized Third-Grade Fluid Model

Carapau,

Correia,

Rodrigues

2024

Mathematics

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In this work, we propose a new three-dimensional constitutive equation related to a third-grade fluid. This proposal is based on experimental work for which the viscosity term and the terms related to viscoelasticity may depend on the shear rate, in accordance with a power-law type model. The numerical implementation of this fluid model is rather demanding in terms of computational calculation and, in this sense, we use the Cosserat theory related to fluid dynamics, which makes the transition from the three-dimensional fluid model to a one-dimensional fluid model for a specific geometry under study which, in this case, is a straight tube with constant circular cross-section. Based on this approximation theory, the one-dimensional fluid model is solved by assuming an ordinary differential equation involving: an unsteady mean pressure gradient; an unsteady volume flow rate; the Womersley number; and the viscosity and viscoelasticity parameters. Consequently, for specific data, and using the Runge–Kutta method, we can obtain the solution for the unsteady volume flow rate and we can present simulations to the three-dimensional velocity field.

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A Three-Dimensional Velocity Field Related to a Generalized Third-Grade Fluid Model

Carapau,

Correia,

Rodrigues

2024

Mathematics

View full text Add to dashboard Cite

show abstract

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Application of the second-order fluid model to estimate factors affecting clearance of small and middle uremic molecules using combined ultrafiltration and diffusion processes

Cited by 1 publication

References 22 publications

A Three-Dimensional Velocity Field Related to a Generalized Third-Grade Fluid Model

A Three-Dimensional Velocity Field Related to a Generalized Third-Grade Fluid Model

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