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Blood flow of Carreau fluid in a tapered artery with mixed convection

International Journal of Biomathematics 2014年第6期7卷 147-166页

作者： Noreen Sher Akbar dbssjh CEMENational University of Sciences and Technology Islamabad Pakistan

This research is concerned with the mathematical modeling and analysis of blood flow in a tapered artery with stenosis. The analysis has been carried out in the presence of heat and mass transfer. Constitutive equation of Carreau fluid has been invoked in the mathematical formulation. The representation of blood flow is considered through an axially non-symmetrical but radially symmetric stenosis. Symmetry of the distribution of the wall, shearing stress and resistive impectartce and their growth with the developirtg stenosis is given due attention. Solutions have been obtained for the velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. Graphical illustrations associated with the tapered arteries namely converging, diverging and non-tapered arteries are examined for different parameters of interest. Streamlines have been plotted and discussed.

关键词： Carreau fluid blood flow tapered artery mixed convection heat.

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Heat transfer analysis of viscoelastic fluid flow due to metachronal wave of cilia

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International Journal of Biomathematics 2014年第6期7卷 107-120页

作者： Noreen Sher Akbar Adil Wahid Butt dbssjh CEMENational University of Sciences and Technology Islamabad Pakistan

This study describes ciliary motion on the transport of fluids in human body with heat transfer. The mathematical model of the flow of a Jeffrey fluid in a tube of finite length is considered due to metachronal wave of cilia motion. Flow equations have been modeled and simplified using similarity variables. Exact solutions of the formulated problem have been obtained for velocity, temperature and pressure gradient and graphs for velocity, pressure rise pressure gradient and temperature profile have been plotted and studied for different values of specific physical parameters. Trapping phenomena and isotherms are presented at the end of the paper.

关键词： Viscoelastic fluid metachronal wave of cilia heat transfer exact solution.

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Series solution of unsteady peristaltic flow of a Carreau fluid in small intestines

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International Journal of Biomathematics 2014年第5期7卷 41-49页

作者： Arshad Ria S. Nadeem R. Ellahi Noreen Sher Akbar Department of Mathematics and Statistics FBAS HU Islamabad 44000 Pakistan Department of Mathematics University of Sargodha Canal Campus Lahore Pakistan Department of MathematicsQuaid-i-Azam University 45320 Islamabad 44000 Pakistan dbssjh CEMENational University of Sciences and Technology Islamabad Pakistan

The study of peristaltic flow of a Carreau fluid in a non-uniform tube under the con- sideration of long wavelength is presented. The flow is investigated in a wave frame of reference moving with velocity of the wave e. Numerical integration has been used to obtain the graphical results for pressure rise and frictional forces. The effects of various emerging parameters are investigated through graphs.

关键词： Peristaltic flow Carreau fluid diverging tube perturbation solution.

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