Finite Element Galerkin Approach for a Computational Study of Arterial Flow

G. C. Sharma; Madhu Jain; Anil Kumar

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(9): 911-917

G. C. Sharma, Madhu Jain, Anil Kumar. Finite Element Galerkin Approach for a Computational Study of Arterial Flow[J]. Applied Mathematics and Mechanics, 2001, 22(9): 911-917.

Citation:

G. C. Sharma, Madhu Jain, Anil Kumar. Finite Element Galerkin Approach for a Computational Study of Arterial Flow[J]. Applied Mathematics and Mechanics, 2001, 22(9): 911-917.

Citation:

G. C. Sharma, Madhu Jain, Anil Kumar. Finite Element Galerkin Approach for a Computational Study of Arterial Flow[J]. Applied Mathematics and Mechanics, 2001, 22(9): 911-917.

PDF( 275 KB)

Finite Element Galerkin Approach for a Computational Study of Arterial Flow

School of Mathematical Sciences, Institute of Basic Science, Khandari, Agra-282002, India

Received Date: 2000-03-03
Rev Recd Date: 2001-07-08
Publish Date: 2001-09-15

Abstract

Abstract

A finite element solution for the Navier-Stokes equations for steady flow through a double branched two dimensional section of three dimensional model of canine aorta is obtained. The numerical technique involves transformation of the physical coordinates to a curvilinear boundary fitted coordinate system. The shear stress at the wall is calculated for Reynolds 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 is observed that the results are very close to their solutions. This work in fact is an improvement of the work of Sharma and Kapoor (1995) in the sense that computations scheme is economic and Renolds number islarge.
- shear stress,
- blood flow,
- arterial flow,
- Galerkin approach

FullText(HTML)

References(10)

References

[1]	Fry D L. Certain histological and chemical responses of the vascular interface to acutely induced mechanical stress in the aorta of the dog[J]. Circulation Res,1969,93-108.
[2]	Thompson J F, Thomes F C, Mastin C W. Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any of arbitrary two dimensional bodies[J]. J Comput Phys,1994,15:299-319.
[3]	Gokhale V V, Tanner R I, Bischoff K B. Finite element solution of the Navier-Stokes equations for two dimensional steady flow through a section of a canine aorta model[J]. Journal of Biomechanics,1978,11:241-249.
[4]	Gresho P M, Lee R L, Sani R L. Lawrence Livermore Laboratory Rept UCRL-83282,Sept,1979.
[5]	Lutz R J, Hsu L, Menawat A, et al. Fluid mechanics and boundary layer mass transport in an arterial model during steady and unsteady flow[A]. In: 74th Annual AICHE[C]. New Orleans,LA,1981.
[6]	Mishra J C, Singh S T. A large deformation analysis for aortic walls under a physiological loading[J]. J Engg Sciences,1983,21:1193-1202.
[7]	Sharma G C, Kapoor J. Finite element computation of two dimensional arterial flow in the presence of a transverse magnetic field[J]. Internat J Numer Methods Fluids,1995,20:1153-1161.
[8]	Dash R K, Jayarman G, Mehta K M. Estimation of increased flow resistance in a narrow catheterized arteries[J]. Journal of Biomechanics,1996,29A:917-930.
[9]	Ku N. Blood flow in arteries[J]. Annual Review of Fluid Mechanics,1997,29:399-434.
[10]	Dash R K, Jayarman G, Mehta K M. Flow in cathertized curved artery with stenosis[J]. Journal of Biomechanics,1999,32:46-61.