Anil Kumar, C. L. Varshney, G. C. Sharma. Computational Technique for Flow in Blood Vessels With Porous Effects[J]. Applied Mathematics and Mechanics, 2005, 26(1): 58-66.
Citation: Anil Kumar, C. L. Varshney, G. C. Sharma. Computational Technique for Flow in Blood Vessels With Porous Effects[J]. Applied Mathematics and Mechanics, 2005, 26(1): 58-66.

Computational Technique for Flow in Blood Vessels With Porous Effects

  • Received Date: 2002-10-17
  • Publish Date: 2005-01-15
  • A finite element solution for the Navier-Stokes equations for steady flow under the porosity effects through a double branched two dimensional section of a three dimensional model of a canine aorta was obtained.The numerical solution involves transforming a physical coordinates to a curvilinear boundary fitted coordinate system.The steady flow,branch flow and shear stress under the porous effects were discussed in detail.The shear stress at the wall was calculated for Reynold's number of 1000 with branch to main aortic flow rate ratio as a parameter.The results are compared with earlier works involving experimental data and it has observed that our results are very close to the exact solutions.This work in fact is an improvement of the work of Sharma et al.(2001) in the sense that computations technique is economic and Reynolds number is large.
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