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Bulletin of Mathematical Biology

, Volume 43, Issue 2, pp 151–163 | Cite as

A hydrodynamical study of the flow in renal tubules

  • G. Radhakrishnamacharya
  • Peeyush Chandra
  • M. R. Kaimal
Article

Abstract

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.

Keywords

Pressure Drop Radial Velocity Renal Tubule Axial Distance Bulk Flow 
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Literature

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Copyright information

© Society for Mathematical Biology 1981

Authors and Affiliations

  • G. Radhakrishnamacharya
    • 1
  • Peeyush Chandra
    • 1
  • M. R. Kaimal
    • 2
  1. 1.Mehta Research Institute of Mathematics and Mathematical PhysicsNew KatraIndia
  2. 2.Department of Applied MathematicsIndian Institute of ScienceBangaloreIndia

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