Fluid-mechanical model for blood flow in lung alveoli

Robert W. Zimmerman; Sunil Kumar

Fluid-mechanical model for blood flow in lung alveoli

Robert W. Zimmerman, Sunil Kumar

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The flow of blood through the inter-alveolar septum of animal lung has often been modeled as an incompressible Newtonian fluid flowing between two parallel plates or membranes that are held apart and supported by cylindrical posts of septal tissue. The object of this modeling is to determine the manner in which the geometrical morphology of the septa affects the relationship between the drop in pressure and the volumetric flow rate of the blood. This flow is analyzed using a Brinkman-type equation, which is a hybrid of the Navier-Stokes equations and Darcy's law for flow through porous media, and a simple closed-form expression for the flow resistance is obtained. The results compare very well with experimental data from the literature that were obtained from a mechanical model with the same parallel-plate and cylindrical-post geometry.

Original language	English (US)
Title of host publication	Advances in Biological Heat and Mass Transfer
Publisher	Publ by ASME
Pages	51-56
Number of pages	6
ISBN (Print)	0791808785
State	Published - 1991
Event	Winter Annual Meeting of the American Society of Mechanical Engineers - Atlanta, GA, USA Duration: Dec 1 1991 → Dec 6 1991

Publication series

Name	American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume	189
ISSN (Print)	0272-5673

Other

Other	Winter Annual Meeting of the American Society of Mechanical Engineers
City	Atlanta, GA, USA
Period	12/1/91 → 12/6/91

ASJC Scopus subject areas

Mechanical Engineering
Fluid Flow and Transfer Processes

Cite this

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title = "Fluid-mechanical model for blood flow in lung alveoli",

abstract = "The flow of blood through the inter-alveolar septum of animal lung has often been modeled as an incompressible Newtonian fluid flowing between two parallel plates or membranes that are held apart and supported by cylindrical posts of septal tissue. The object of this modeling is to determine the manner in which the geometrical morphology of the septa affects the relationship between the drop in pressure and the volumetric flow rate of the blood. This flow is analyzed using a Brinkman-type equation, which is a hybrid of the Navier-Stokes equations and Darcy's law for flow through porous media, and a simple closed-form expression for the flow resistance is obtained. The results compare very well with experimental data from the literature that were obtained from a mechanical model with the same parallel-plate and cylindrical-post geometry.",

author = "Zimmerman, {Robert W.} and Sunil Kumar",

year = "1991",

language = "English (US)",

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series = "American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD",

publisher = "Publ by ASME",

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booktitle = "Advances in Biological Heat and Mass Transfer",

note = "Winter Annual Meeting of the American Society of Mechanical Engineers ; Conference date: 01-12-1991 Through 06-12-1991",

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T1 - Fluid-mechanical model for blood flow in lung alveoli

AU - Zimmerman, Robert W.

AU - Kumar, Sunil

PY - 1991

Y1 - 1991

N2 - The flow of blood through the inter-alveolar septum of animal lung has often been modeled as an incompressible Newtonian fluid flowing between two parallel plates or membranes that are held apart and supported by cylindrical posts of septal tissue. The object of this modeling is to determine the manner in which the geometrical morphology of the septa affects the relationship between the drop in pressure and the volumetric flow rate of the blood. This flow is analyzed using a Brinkman-type equation, which is a hybrid of the Navier-Stokes equations and Darcy's law for flow through porous media, and a simple closed-form expression for the flow resistance is obtained. The results compare very well with experimental data from the literature that were obtained from a mechanical model with the same parallel-plate and cylindrical-post geometry.

AB - The flow of blood through the inter-alveolar septum of animal lung has often been modeled as an incompressible Newtonian fluid flowing between two parallel plates or membranes that are held apart and supported by cylindrical posts of septal tissue. The object of this modeling is to determine the manner in which the geometrical morphology of the septa affects the relationship between the drop in pressure and the volumetric flow rate of the blood. This flow is analyzed using a Brinkman-type equation, which is a hybrid of the Navier-Stokes equations and Darcy's law for flow through porous media, and a simple closed-form expression for the flow resistance is obtained. The results compare very well with experimental data from the literature that were obtained from a mechanical model with the same parallel-plate and cylindrical-post geometry.

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M3 - Conference contribution

AN - SCOPUS:0026377202

SN - 0791808785

T3 - American Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD

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BT - Advances in Biological Heat and Mass Transfer

PB - Publ by ASME

T2 - Winter Annual Meeting of the American Society of Mechanical Engineers

Y2 - 1 December 1991 through 6 December 1991

ER -

Fluid-mechanical model for blood flow in lung alveoli

Abstract

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ASJC Scopus subject areas

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