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A hydrodynamical study of the flow in renal tubules

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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.

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Author notes

  1. M. R. Kaimal

    Present address: Department of Mathematics, Cochin University, Cochin, India

Authors and Affiliations

  1. Mehta Research Institute of Mathematics and Mathematical Physics, 26 Dilkusha, 211002, New Katra, Allahabad, India

    G. Radhakrishnamacharya & Peeyush Chandra

  2. Department of Applied Mathematics, Indian Institute of Science, 560012, Bangalore, India

    M. R. Kaimal

Authors
  1. G. Radhakrishnamacharya
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  2. Peeyush Chandra
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  3. M. R. Kaimal
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Radhakrishnamacharya, G., Chandra, P. & Kaimal, M.R. A hydrodynamical study of the flow in renal tubules. Bltn Mathcal Biology 43, 151–163 (1981). https://doi.org/10.1007/BF02459440

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  • DOI: https://doi.org/10.1007/BF02459440

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