Blood flow of nanofluid through an artery with composite stenosis and permeable walls
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
Ellahi R, Riaz A, Nadeem S, Ali M (2012) Peristaltic flow of Carreau fluid in a rectangular duct through a porous medium. Math Prob Eng. doi:10.1155/2012/329639
Hameed M, Ellahi R (2011) Thin film flow of non-Newtonian MHD fluid on a vertically moving belt. Int J Numeri Methods Fluids 66:1409–1419
Mekheimer KH, Haroun MH, El kot MA (2012) Influence of heat and chemical reactions on blood flow through an anisotropically tapered elastic arteries with overlapping stenosis. Appl Math Inf Sci 6:281-292
Mekheimer KH, El kot MA (2012) Mathematical modelling of unsteady flow of a Sisko fluid through an anisotropically tapered elastic arteries with time-variant overlapping stenosis. J Appl Math Model 36:5393-5407
Mishra S, Siddiqui SU, Medhavi A (2011) Blood flow through a composite stenosis in an artery with permeable wall. Appl Appl Math 6(1):1798-1813
Nadeem S, Akbar NS (2011) Power law fluid model for blood flow through a tapered artery with stenosis. Appl Math Comput 217:7108-7116
Nadeem S, Akbar NS (2009) Influence of heat transfer on peristaltic transport of Herschel–Bulkley fluid in a non uniform inclined tube. Comm Non Sci Numer Simul 14:4100-4113
Naz R, Mahomed FM, Mason DP (2008) Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics. Appl Math Comput 1:212–230
Riahi DN, Roy R, Cavazos S (2011) On arterial blood flow in the presence of an overlapping stenosis. Math Comp Model 54:2999-3006
Shukla PK, Rahman HU (1998) The Rayleigh–Taylor mode with sheared plasma flows. Physica Scripta 57:286–289
Tripathi D (2012) A mathematical study on three layered oscillatory blood flow through stenosed arteries. J Bionic Eng 9:119-131
Tripathi D, Pandey SK, Das S (2010) Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel. Appl Math Comput 215:3645-3654
