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A computational extensional rheology study of two biofluid systems

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Abstract

The main focus of the present computational modelling work is to determine the extensional rheological response of some model biofluids, with a view to ultimately aiding experimentally based analyses and clinical practice. This is accomplished in the present study through model extensional flows and rheological investigation, addressing filament stretching and contraction flows, and upon which significant advances are presented. As such, two biofluid flow systems within the human body are of current interest: (i) respiratory disorders and sputum in the lung airways (associated with filament stretching), where stretchiness of mucus sputum in situ is vital, with clinical focus on chronic obstructive pulmonary disease (COPD/sputum); and (ii) bile flow in the biliary system (contraction flow), with clinical focus on disorders of primary sclerosis cholangitis and common bile duct narrowing. Both sputum and bile biofluid systems are represented through kinetic theory rheological fluid modelling, with capability to represent material structure entanglement, branching and anisotropy. This is practically achieved by appealing to the class of pom-pom differential constitutive models, extracted from polymer melt physics and deployed here through a single extended pom-pom (SXPP) approximation. This class of models is sufficiently rich to enable description of both network structure and rheological properties, exhibiting viscoelastic response (memory), with strain-hardening/softening and shear-thinning properties.

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Notes

  1. L v is the distance between the salient-corner and the intersection point between the separation line and the upstream wall; L u represents the upstream radius.

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Acknowledgments

Financial support (scholarship to J.E.L.-A.) from Consejo Nacional de Ciencia y Tecnología (CONACYT, México), Zienkiewcz College of Engineering scholarship and NHS-Wales Abertawe Bro Morgannwg Trust fund is gratefully acknowledged. We are grateful to Dr H. Matallah for his contribution in the initial coding and scoping work on the pom-pom step-strain problem.

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Authors and Affiliations

  1. INNFM, College of Engineering, Swansea University, Swansea, SA28PP, UK

    Jose Esteban López-Aguilar, Michael F. Webster, Alaa Hasan A. Al-Muslimawi, Hamid Reza Tamaddon-Jahromi & Rhodri Williams

  2. Mathematics Department, College of Science, Basra University, Al-Basra, 61004, Iraq

    Alaa Hasan A. Al-Muslimawi

  3. College of Medicine, Swansea University, Swansea, SA28PP, UK

    Karl Hawkins, Colin Askill, Chin Lye Ch’ng, Gwyneth Davies, Phillip Ebden & Keir Lewis

  4. Singleton Hospital, Swansea, SA2 8QA, UK

    Colin Askill, Chin Lye Ch’ng, Gwyneth Davies & Phillip Ebden

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  1. Jose Esteban López-Aguilar
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  2. Michael F. Webster
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  3. Alaa Hasan A. Al-Muslimawi
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  4. Hamid Reza Tamaddon-Jahromi
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  6. Karl Hawkins
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  7. Colin Askill
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  8. Chin Lye Ch’ng
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  9. Gwyneth Davies
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  10. Phillip Ebden
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  11. Keir Lewis
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Correspondence to Michael F. Webster.

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López-Aguilar, J.E., Webster, M.F., Al-Muslimawi, A.H.A. et al. A computational extensional rheology study of two biofluid systems. Rheol Acta 54, 287–305 (2015). https://doi.org/10.1007/s00397-014-0830-y

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  • DOI: https://doi.org/10.1007/s00397-014-0830-y

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