Application of Adomian's approximation to blood flow through arteries in the presence of a magnetic field

Haldar, K.

doi:10.1007/bf02936199

Cited by 10 publications

(9 citation statements)

References 14 publications

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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%

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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 set of equations governing the flow of blood in artery in cylindrical polar co-ordinates (cf. [28,30]) can be put as…”

Section: Mathematical Modelingmentioning

confidence: 99%

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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“…The significant characteristics of pertinent parameters on velocity, pressure and shear stress are discussed through graphs. The moderate values of the parameters ε (=0.1), Re (=1) and δ (=0.1) from already existing literature on physiological problems 20 , 25 , 35 – 37 are chosen in our analysis.…”

Section: Resultsmentioning

confidence: 99%

“…Many researchers 25 , 26 worked on blood flow problems in tubes by applying Adomian decomposition method (ADM). This method was developed by Adomian 27 .…”

Section: Introductionmentioning

confidence: 99%

Slip flow through a non-uniform channel under the influence of transverse magnetic field

Farooq

Mushtaq

Munir

et al. 2018

Sci Rep

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This study deals with the steady laminar slip flow of an incompressible Newtonian fluid in a non-uniform permeable channel under the influence of transverse magnetic field. The reabsorption through the wall is accounted for by considering flux as a function of downstream distance. The non-linear coupled partial differential equations of motion are first transformed into a single fourth order partial differential equation and then solved analytically using Adomain decomposition method. Effects of pertinent parameters on different flow properties are discussed by plotting graphs. Results reveal that magnetic field considerably influences the behavior of flow.

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“…In another similar application, Haldar [6] investigated the flow of blood through a constricted artery in the presence of an external transverse magnetic field using Adomian's decomposition method. The expressions for the two-term approximation to the solution of stream function, axial velocity component and wall shear stress are obtained in this analysis.…”

Section: Introductionmentioning

confidence: 99%

A note on the unsteady flow of dusty viscous fluid between two parallel plates

Ajadi

2005

JAMC

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Abstract. We study the isothermal flow of a dusty viscous incompressible conducting fluid between two types of boundary motions-oscillatory and non-oscillatory, under the influence of gravitational force. Within the frame work of some physically realistic approximations and suitable boundary conditions, closed form solutions were obtained for the velocity profiles and the skin friction of the particulate flow. These results show that for a constant pressure gradient, only the velocity profile of the fluid and the skin friction are unaffected by gravity, while magnetic field is seen to affect both the fluid, particle velocities and the skin friction. Thus, our results are extension of previous results in literature, and graphical demonstration of some these solutions have been presented.

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Application of Adomian's approximation to blood flow through arteries in the presence of a magnetic field

Cited by 10 publications

References 14 publications

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

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

Slip flow through a non-uniform channel under the influence of transverse magnetic field

A note on the unsteady flow of dusty viscous fluid between two parallel plates

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