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

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Abstract

The present investigation deals with the application of Adomian's decomposition method to blood flow through a constricted artery in the presence of an external transverse magnetic field which is applied uniformly. The blood flowing through the tube is assumed to be Newtonian in character. 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. The numerical solutions of the wall shear stress for different values of Reynold number and Hartmann number are shown graphically. The solution of this theoretical result for a particular Hartmann number is compared with the integral method solution of Morgan and Young [17].

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Author information

Correspondence to K. Haldar.

Additional information

K. Haldar: Dr. K. Haldar was born in West Bengal, India, in 1943. He recieved his B.Sc. Honours degree from Calcutta University. Then he got. M.Sc. and Ph.D. degrees from Jadavpur University in 1967 and 1974 respectively. He joined the departments of Mathematics and Mechanical Engineering of Jadavpur University in 1975 and 1978 to carry out his research works in Fluid Dynamics and Atmospheric Sciences respectively. In 1982 he joined the Electronics Unit of Indian Statistical Institute. Calcutta, India, as a Visiting Scientist and was absorbed there as a Lecturer afterwords. He is currently now a Professor in Mathematics of the same Institute. His research interests include Blood flow in Cardiovascular System, Viscous fluid flow through constricted straight and bent tubes, and Applications of Adomian's Decomposition method to Physics and Fluid Mechanics.

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Haldar, K. Application of Adomian's approximation to blood flow through arteries in the presence of a magnetic field. JAMC 12, 267–279 (2003). https://doi.org/10.1007/BF02936199

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AMS Mathematics Subject Classification

  • 92C15
  • 92-06
  • 92C05
  • 80A26

Key words and phrases

  • Constricted tube
  • Newtonian blood
  • magnetic field
  • Navier-Stokes equations and decomposition method