Application of double decomposition to pulsatile flow

Mamaloukas, C.; Haldar, K.; Mazumdar, H. P.

doi:10.1007/bf02936217

Cited by 3 publications

(3 citation statements)

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“…The ADM has been successfully applied to solve nonlinear equations in studying many interesting problems arising in applied sciences and engineering [26,27], and is usually characterized by its higher degree of accuracy. Haldar [28] and Mamaloukas et al [29] have also used Adomian decomposition method for solving a problem of blood flow through a constricted artery under the action of an applied magnetic field. However, the above studies did not considered porosity effect as it is an important biological phenomena in the blood flow.…”

Section: (U V )mentioning

confidence: 99%

“…The integration constants α, β, γ and δ can be obtained by using the boundary conditions (24) and (25). The inverse operator F −1 1 involved in (29) is defined by…”

Section: Analytical Solutionmentioning

confidence: 99%

“…45)by taking λ = 1.Substituting ψ from (35) into(24) and(25), we obtain the boundary conditions for ψ 0 and ψ = 0 at r = 0 (49)Using the boundary conditions (46) and (47) in(29), we obtain the expression for ψ 0 as…”

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confidence: 99%

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Modeling of Blood Flow in a Constricted Porous Vessel Under Magnetic Environment: An Analytical Approach

Sinha

Shit

2014

Int. J. Appl. Comput. Math

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A theoretical investigation concerning the effect of arterial constriction on the flow of blood through a porous vessel in the presence of externally applied magnetic field has been carried out. In this study blood is assumed to be homogeneous Newtonian fluid flowing through a large blood vessel. In order to solve the problem, Adomian's decomposition method is employed for obtaining its analytical solution. The analytical expressions for stream function, axial velocity component, wall shear stress are obtained and the corresponding numerical solutions for a specific set of dimensionless parameters have shown graphically. The results obtained for different values of the parameters show that the flow is appreciably influenced by the presence of magnetic field as well as the porosity of fluid medium. Thus the method developed here can capture small changes in the complex flow domain.

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Section: (U V )mentioning

confidence: 99%

“…The integration constants α, β, γ and δ can be obtained by using the boundary conditions (24) and (25). The inverse operator F −1 1 involved in (29) is defined by…”

Section: Analytical Solutionmentioning

confidence: 99%