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Finite element computations of two‐dimensional arterial flow in the presence of a transverse magnetic field
Author(s) -
Sharma G. C.,
Kapoor Jaya
Publication year - 1995
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650201004
Subject(s) - curvilinear coordinates , finite element method , mechanics , shear stress , flow (mathematics) , magnetic field , mathematics , geometry , navier–stokes equations , physics , thermodynamics , quantum mechanics , compressibility
A finite element solution of the Navier‐Stokes equations for steady flow under the magnetic effect through a double‐branched two‐dimensional section of a three‐dimensional model of the canine aorta is discussed. The numerical scheme involves transforming the physical co‐ordinates to a curvilinear boundary‐fitted co‐ordinate system. The shear stress at the wall is calculated for a Reynolds number of 1000 with the branch‐to‐main aortic flow rate ratio as a parameter. The results are compared with earlier works involving experimental data and found to be in reasonable qualitative agreement. The steady flow, shear stress and branch flow under the effect of a magnetic field have been discussed in detail.