Fluid-mechanical model for blood flow in lung alveoli

Robert W. Zimmerman, Sunil Kumar

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publicationAdvances in Biological Heat and Mass Transfer
PublisherPubl by ASME
Pages51-56
Number of pages6
Volume189
ISBN (Print)0791808785
StatePublished - 1991
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Atlanta, GA, USA
Duration: Dec 1 1991Dec 6 1991

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAtlanta, GA, USA
Period12/1/9112/6/91

Fingerprint

Blood
Fluids
Navier Stokes equations
Porous materials
Animals
Flow rate
Tissue
Membranes
Geometry

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

Cite this

Zimmerman, R. W., & Kumar, S. (1991). Fluid-mechanical model for blood flow in lung alveoli. In Advances in Biological Heat and Mass Transfer (Vol. 189, pp. 51-56). Publ by ASME.

Fluid-mechanical model for blood flow in lung alveoli. / Zimmerman, Robert W.; Kumar, Sunil.

Advances in Biological Heat and Mass Transfer. Vol. 189 Publ by ASME, 1991. p. 51-56.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zimmerman, RW & Kumar, S 1991, Fluid-mechanical model for blood flow in lung alveoli. in Advances in Biological Heat and Mass Transfer. vol. 189, Publ by ASME, pp. 51-56, Winter Annual Meeting of the American Society of Mechanical Engineers, Atlanta, GA, USA, 12/1/91.
Zimmerman RW, Kumar S. Fluid-mechanical model for blood flow in lung alveoli. In Advances in Biological Heat and Mass Transfer. Vol. 189. Publ by ASME. 1991. p. 51-56
Zimmerman, Robert W. ; Kumar, Sunil. / Fluid-mechanical model for blood flow in lung alveoli. Advances in Biological Heat and Mass Transfer. Vol. 189 Publ by ASME, 1991. pp. 51-56
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