Pulsatile flow of blood with periodic body acceleration

Chaturani, P.; Palanisamy, V.

doi:10.1016/0020-7225(91)90081-d

Cited by 44 publications

(19 citation statements)

References 7 publications

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“…It is of interest to note that the result of the present model includes results of different mathematical models such as: The results of [24], [25], the results of [23] have been recovered by taking the permeability of porous medium k→∞ without stochastic and no body acceleration, the results of [19] have been recovered by taking Hartmann number Ha=0.0 (no magnetic field), the results of [18] have been recovered by taking the permeability of porous medium k→∞ and Hartmann number Ha=0.0 (no magnetic field).…”

Section: Discussionmentioning

confidence: 99%

“…References [15]- [17] considered various types of body accelerations and studied different characteristics of blood flow according to the nature of accelerations. Reference [18] discussed the flow characteristics of blood under external body acceleration assuming blood to be a Newtonian fluid. References [20], [21] studied the effect of body acceleration in different situations.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM)

Eldesoky¹,

Kamel²,

Hussien³

et al. 2013

IJMMM

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Abstract-The I. INTRODUCTIONMHD viscous flow though pipes plays significant role in different areas of science and technology such as Petroleum industry, Biomechanics, Drainage and Irrigation engineering and so on. The investigations of blood flow through arteries are of considerable importance in many cardiovascular diseases particularly atherosclerosis. The pulsatile flow of blood through an artery has drawn the attention to the researchers for a long time due to its great importance in medical sciences. Under normal conditions, blood flow in the human circulatory system depends upon the pumping action of the heart and this produces a pressure gradient throughout the arterial network [1], [2]. During the last decades extensive research work has been done on the fluid dynamics of biological fluids in the presence of magnetic field. The flow of a conducting fluid in a circular pipe has been investigated by many authors [3]- [5]. References [6], [7] have studied steady viscous incompressible flow through  Manuscript

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM)

Eldesoky¹,

Kamel²,

Hussien³

et al. 2013

IJMMM

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“…When β and H tends to zero, then our solution given by (4.5) reduces to the case considered by Chaturani and Palanisawy [1].…”

Section: U(r 0) =mentioning

confidence: 96%

“…Chaturani and Palanisamy [1] studied pulsatile flow of blood through a rigid tube under the influence of body acceleration as a Newtonian fluid. In the present work, we consider the unsteady flow of blood as an elastico-viscous magnetohydrodynamic fluid in a circular pipe.…”

Section: Introductionmentioning

confidence: 99%

MHD flow of an elastico‐viscous fluid under periodic body acceleration

Elshehawey

Elbarbary

Afifi

et al. 2000

International Journal of Mathematics and Mathematical Sciences

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Abstract. Magnetohydrodynamic (MHD) flow of blood has been studied under the influence of body acceleration. With the help of Laplace and finite Hankel transforms, an exact solution is obtained for the unsteady flow of blood as an electrical conducting, incompressible and elastico-viscous fluid in the presence of a magnetic field acting along the radius of the pipe. Analytical expressions for axial velocity, fluid acceleration and flow rate has been obtained.

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“…Most of the model [13][14][15][16][17] on blood flow deal with one phase model. However, in view of the fact that blood is a suspension, a two-phase model appears to be more appropriate.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model of Blood Flow in Small Blood Vessel in the Presence of Magnetic Field

Bali¹,

Awasthi²

2011

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A mathematical model for blood flow in the small blood vessel in the presence of magnetic field is presented in this paper. We have modeled the two phase model for the blood flow consists of a central core of suspended erythrocytes and cell-free layer surrounding the core. The system of differential equations has been solved analytically. We have obtained the result for velocity, flow rate and effective viscosity in presence of peripheral layer and magnetic field .All the result has been obtained and discussed through graphs.

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Pulsatile flow of blood with periodic body acceleration

Cited by 44 publications

References 7 publications

Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM)

Numerical Study of Unsteady MHD Pulsatile Flow through Porous Medium in an Artery Using Generalized Differential Quadrature Method (GDQM)

MHD flow of an elastico‐viscous fluid under periodic body acceleration

Mathematical Model of Blood Flow in Small Blood Vessel in the Presence of Magnetic Field

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