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A hydrodynamical study of the flow in renal tubules

Radhakrishnamacharya, G and Chandra, Peeyush and Kaimal, MR (1981) A hydrodynamical study of the flow in renal tubules. In: Bulletin of Mathematical Biology, 43 (2). pp. 151-163.

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The hydrodynamical problem of flow in proximal renal tubule is investigated by considering axisymmetric flow of a viscous, incompressible fluid through a long narrow tube of varying cross-section with reabsorption at the wall. Two cases for reabsorption have been studied (i) when the bulk flow,Q, decays exponentially with the axial distancex, and (ii) whenQ is an arbitrary function ofx such thatQ-Q 0 can be expressed as a Fourier integral (whereQ 0 is the flux atx=0). The analytic expressions for flow variables have been obtained by applying perturbation method in terms of wall parameter ε. The effects of ε on pressure drop across the tube, radial velocity and wall shear have been studied in the case of exponentially decaying bulk flow and it has been found that the results are in agreement with the existing ones for the renal tubules.

Item Type: Journal Article
Publication: Bulletin of Mathematical Biology
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 12 Aug 2009 09:54
Last Modified: 12 Aug 2009 09:54
URI: http://eprints.iisc.ac.in/id/eprint/21943

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