Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (5): 649-662.doi: https://doi.org/10.1007/s10483-012-1577-8

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Numerical study of flow and heat transfer during oscillatory blood flow in diseased arteries in presence of magnetic fields

A. SINHA1, J. C. MISRA2   

  1. 1. School of Medical Science and Technology, Indian Institute of Technology, Kharagpur 721302, India;
    2. Department of Mathematics, Institute of Technical Education and Research, Siksha O Anusandhan University, Bhubaneswar 751030, India
  • Received:2011-03-09 Revised:2011-11-12 Online:2012-05-10 Published:2012-05-10
  • Contact: J. C. MISRA, Professor, Ph.D., E-mail: misrajc@gmail.com E-mail:misrajc@gmail.com

Abstract:

A problem motivated by the investigation of the heat and mass transfer in the unsteady magnetohydrodynamic (MHD) flow of blood through a vessel is solved numerically when the lumen of the vessel has turned into the porous structure. The time-dependent permeability and the oscillatory suction velocity are considered. The computational results are presented graphically for the velocity, the temperature, and the concentration fields for various values of skin friction coefficients, Nusselt numbers, and Sherwood numbers. The study reveals that the flow is appreciably influenced by the presence of a magnetic field and also by the value of the Grashof number.

2010 MSC Number: 

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