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Peristaltic flow of Sisko fluid in a uniform inclined tube

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Acta Mechanica Sinica 2010年第5期26卷 675-683页

作者： Sohail Nadeem noreen sher akbar Department of Mathematics Quaid-i-Azam University 45320

We have analyzed an incompressible Sisko fluid through an axisymmetric uniform tube with a sinusoidal wave propagating down its walls. The present analysis of non- Newtonian fluid is investigated under the considerations of long wavelength and low Reynolds number approximation. The analytic solution is obtained using （i） the regular perturbation method （ii） the Homotopy analysis method （HAM）. The comparison of both the solutions is presented graphically. The results for the pressure rise, frictional force and pressure gradient have been calculated numerically and the results are studied for various values of the physical parameters of interest, such as α （angle of inclination）, b^＊（Sisko fluid parameter）, Ф （amplitude ratio） and n （power law index）. Trapping phenomena is discussed at the end of the article.

关键词： Peristaltic flow Sisko fluid Perturbation method Homotopy analysis method

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

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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.

Entropy generation analysis for the peristaltic flow of Cu-water nanofluid in a tube with viscous dissipation

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Journal of Hydrodynamics 2017年第1期29卷 135-143页

作者： noreen sher akbar Adil Wahid Butt DBS&H CEMENational University of Sciences and TechnologyIslamabadPakistan DBS&H MCENational University of Sciences and TechnologyIslamabadPakistan

The purpose of the current investigation is to examine the influence of different physical parameters on the entropy gene- ration. The entropy generation number due to heat transfer and fluid friction is formulated. The velocity and temperature distributions across the tube are presented along with pressure attributes. Exact analytical solution for velocity and temperature profile is obtained. It is found that the entropy generation number attains high values in the region close to the walls of the tube, while it falls to low values near the center of the tube.

关键词： Entropy generation heat transfer nanofluid Cu-water uniform robe

An analytical and numerical study of peristaltic transport of a Johnson-Segalman fluid in an endoscope

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Chinese Physics B 2013年第1期22卷 374-383页

作者： noreen sher akbar S. Nadeem DBS&H CEME National University of Sciences and Technology Islamabad Pakistan Department of Mathematics Quaid-i-Azam University 45320 Islamabad 44000 Pakistan

In the present study, we discuss the peristaltic flow of a Johnson-Segalman fluid in an endoscope. Perturbation, homotopy, and numerical solutions are found for the non-linear differential equation. The comparative study is also made to check the validity of the solutions. The expressions for pressure rise frictional forces, pressure gradient, and stream lines are presented to interpret the behavior of various physical quantities of the Johnson-Segalman fluid.

关键词： peristaltic pumping Johnson-Segalman fluid endoscope

Metallic nanoparticles analysis for the blood flow in tapered stenosed arteries： Application in nanomedicines

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International Journal of Biomathematics 2016年第1期9卷 29-46页

作者： noreen sher akbar DBSH CEME National University of Sciences and Technology Islamabad Pakistan

Blood flow model is recycled to study the influence of magnetic field and nanoparticles in tapered stenosed arteries. The metallic nanoparticles for the blood flow with water as base fluid are not explored so far. The representation for the blood flow is through an axially non-symmetrical but radially symmetric stenosis. Symmetry of the distribution of the wall shearing stress and resistive impedance and their growth with the deve- loping stenosis is another important feature of our analysis. Exact solutions have been evaluated for velocity, resistance impedance, wall shear stress and shearing stress at the stenosis throat. The graphical results of different types of tapered arteries （i.e. conver- ging tapering, diverging tapering, non-tapered artery） have been examined for different parameters of interest for pure water and Copper water （Cu-water）.

关键词： Blood flow Cu-water nanofluid tapered arteries exact solution.

Biomathematical analysis of carbon nanotubes due to ciliary motion

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International Journal of Biomathematics 2015年第2期8卷 161-171页

作者： noreen sher akbar DBS H CEME National University of Sciences and Technology Islamabad Pakistan

In this paper, the consequences of cilia motion are reflected by the CNTs nanoparticles. The problem is expressed in a symmetric channel with ciliated walls. Exact solutions of the governing flow problem are obtained for pressure gradient, temperature and velocities of the fluid. Streamlines for the velocity profile are plotted to discuss the trapping phenomenon.

关键词： Carbon nanotubes ciliary motion symmetric channel.

Simulation of the Second Grade Fluid Model for Blood Flow through a Tapered Artery with a Stenosis

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Chinese Physics Letters 2010年第6期27卷 266-269页

作者： S. Nadeem noreen sher akbar Department of Mathematics Quaid-i-Azam University Islamabad 44000 Pakistan

We analyze the blood flow through a tapered artery, assuming the blood to be a second order fluid model. The resulting nonlinear implicit system of partial differential equations is solved by the perturbation method. The expressions for shear stress, velocity, flow rate, wall shear stress and longitudinal impedance are obtained. The physical behavior of different parameters is also discussed, as are trapping phenomena.

关键词： Blood Shears Stress Shearing

Entropy Generation Analysis in Convective Ferromagnetic Nano Blood Flow Through a Composite Stenosed Arteries with Permeable Wall

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Communications in Theoretical Physics 2017年第5期67卷 554-560页

作者： noreen sher akbar Adil Wahid Butt DBS&H CEME National University of Sciences and Technology Islamabad Pakistan DBS&H MCE National University of Sciences and Technology Islamabad Pakistan

The study of heat transfer is of significant importance in many biological and biomedical industry *** investigation comprises of the study of entropy generation analysis of the blood flow in the arteries with permeable walls. The convection through the flow is studied with compliments to the entropy generation. Governing problem is formulized and solved for low Reynold's number and long wavelength approximations. Exact analytical solutions have been obtained and are analyzed graphically. It is seen that temperature for pure water is lower as compared to the copper water. It gains magnitude with an increase in the slip parameter.

关键词： ferromagnetic Nano blood flow heat transfer permeable wall magnetic field entropy

Rheological Analysis of CNT Suspended Nanofluid with Variable Viscosity: Numerical Solution

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Communications in Theoretical Physics 2017年第6期67卷 681-687页

作者： noreen sher akbar Zafar Hayat Khan DBS&H CEME National University of Sciences and Technology Department of Mathematics University of Malakand Dir (lower) Khyber Pakhtunkhwa

In this article, we discuss the two-dimensional stagnation-point flow of carbon nanotubes towards a stretching sheet with water as the base fluid under the influence temperature dependent viscosity. Similarity transformations are used to simplify the governing boundary layer equations for nanofluid. This is the first article on the stagnation point flow of CNTs over a stretching sheet with variable viscosity. A well known Reynold's model of viscosity is used. Single wall CNTs are used with water as a base fluid. The resulting nonlinear coupled equations with the relevant boundary conditions are solved numerically using shooting method. The influence of the flow parameters on the dimensionless velocity, temperature, skin friction, and Nusselt numbers are explored and presented in forms of graphs and interpreted physically.

关键词： two-dimensional flow variable nanofluid viscosity stagnation-point flow stretching sheet carbon nanotubes numerical solution