Blood flow of nanofluid through an artery with composite stenosis and permeable walls

Applied Nanoscience - Tập 4 - Trang 919-926 - 2013
R. Ellahi1,2, S. U. Rahman2, S. Nadeem3, N. S. Akbar4
1Department of Mechanical Engineering, Bourns Hall A 373, University of California, Riverside, Riverside, USA
2Department of Mathematics and Statistics, FBAS, IIU, Islamabad, Pakistan
3Department of Mathematics Quaid-i-Azam University, Islamabad, Pakistan
4DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan

Tóm tắt

This problem deals with the theoretical study of blood flow of nanofluid through composite stenosed arteries with permeable walls. The highly nonlinear momentum equations of nanofluid model are simplified by considering the mild stenosis case. Temperature and nanoparticle equations are coupled; so, we use homotopy perturbation method to calculate the solution of temperature and nanoparticle equations, while the exact solution has been calculated for velocity profile. Also, the expressions for flow impedance, pressure gradient and stream function are computed. These solutions depend on Brownian motion number Nb, thermophoresis number Nt, local temperature Grashof number Gr and local nanoparticle Grashof number Br. The effects of various emerging parameters are discussed through graphs for different values of interest.

Tài liệu tham khảo

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