A Numerical Study on Unsteady Flow of Herschel–Bulkley Nanofluid Through an Inclined Artery with Body Acceleration and Magnetic Field

  • S. Priyadharshini
  • R. Ponalagusamy
Original Paper


The present paper deals with the mathematical model for pulsatile flow of Herschel–Bulkley fluid through an inclined artery with stenosis and tapering. The governing equations of Herschel–Bulkley nanofluid are highly non-linear which are simplified in the case of artery having mild stenosis and slightly tapering. The effects of heat and mass transfer have been considered in the model. The solutions for velocity profile, wall shear stress distribution, flow impedance, temperature and concentration profiles are evaluated numerically using finite difference schemes for different values of the parameters associated with the model. The obtained results are represented graphically and the influences of involved parameters on the flow of nanofluid are discussed in detail. It is observed from the computed numerical results that the velocity profile enhances with increase in Grashof numbers. The magnitude of shear stress at the arterial wall increases with increase in stenotic height and Hartmann number and decreases with increase in Grashof numbers. The value of flow resistance enhances with increase in stenotic height, Hartmann number, time and thermophoresis parameter and decreases with increase in inclination parameters, Grashof numbers, Brownian motion parameter and Prandtl number. The combined effects of rheology of blood and parameters associated with heat and mass transfer on flow resistance have been analysed from which the significance of rheology of blood can be understood.


Stenosis Tapering Thermophoresis Brownian motion Prandtl number Schmidt number 



The corresponding author Ms. S. Priyadharshini is very grateful to the Ministry of Human Resource Development (MHRD), India for granting research fellowship.


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© Springer Nature India Private Limited 2018

Authors and Affiliations

  1. 1.Department of MathematicsNational Institute of TechnologyTiruchirappalliIndia

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