Noreen Sher Akbar

Endoscopic Effects on Peristaltic Flow of a Nanofluid

In the present investigation we have studied the peristaltic flow of a nanofluid in an endoscope. The flow is investigated in a wave frame of reference moving with velocity of the wave c. Analytical solutions have been calculated using Homotopy perturbation method (HPM) for temperature and nanoparticle equation while exact solutions have been calculated for velocity and pressure gradient. Numerical integration have been used to obtain the graphical results for pressure rise and frictional forces. The effects of various emerging parameters are investigated for five different peristaltic waves. Streamlines have been plotted at the end of the article.

MHD Three-Dimensional Boundary Layer Flow of Casson Nanofluid Past a Linearly Stretching Sheet With Convective Boundary Condition

Steady flow of a Casson fluid in the presence of a nanoparticle is studied. It is considered that the sheet is stretched in both the direction along the xy-plane. Moreover, we have considered the magnetohydrodynamics effect within the fluid and convective condition along the surface. Similarity transformation is used to convert the governing partial differential equations to a set of coupled nonlinear ordinary differential equations which are solved numerically. The behavior of emerging parameters are presented graphically and discussed for velocity, temperature, and nanoparticles fraction. Variation of the reduced Nusselt and Sherwood number against physical parameters are presented graphically. It is found that the reduced Nusselt number is the decreasing function and the reduced Sherwood number is the increasing function of Brownian parameter Nb and thermophoresis parameter Nt.

Copper oxide nanoparticles analysis with water as base fluid for peristaltic flow in permeable tube with heat transfer

The peristaltic flow of a copper oxide water fluid investigates the effects of heat generation and magnetic field in permeable tube is studied. The mathematical formulation is presented, the resulting equations are solved exactly. The obtained expressions for pressure gradient, pressure rise, temperature, velocity profile are described through graphs for various pertinent parameters. It is found that pressure gradient is reduce with enhancement of particle concentration and velocity profile is upturn, beside it is observed that temperature increases as more volume fraction of copper oxide. The streamlines are drawn for some physical quantities to discuss the trapping phenomenon.

Numerical Study of Boundary Layer Flow and Heat Transfer of Oldroyd-B Nanofluid towards a Stretching Sheet

In the present article, we considered two-dimensional steady incompressible Oldroyd-B nanofluid flow past a stretching sheet. Using appropriate similarity variables, the partial differential equations are transformed to ordinary (similarity) equations, which are then solved numerically. The effects of various parameters, namely, Deborah numbers and , Prandtl parameter , Brownian motion , thermophoresis parameter and Lewis number , on flow and heat transfer are investigated. To see the validity of the present results, we have made the comparison of present results with the existing literature.

A numerical study of magnetohydrodynamic transport of nanofluids over a vertical stretching sheet with exponential temperature-dependent viscosity and buoyancy effects

Abstract In this paper, a mathematical study is conducted of steady incompressible flow of a temperature-dependent viscous nanofluid from a vertical stretching sheet under applied external magnetic field and gravitational body force effects. The Reynolds exponential viscosity model is deployed. Electrically-conducting nanofluids are considered which comprise a suspension of uniform dimension nanoparticles suspended in viscous base fluid. The nanofluid sheet is extended with a linear velocity in the axial direction. The Buonjiornio model is utilized which features Brownian motion and thermophoresis effects. The partial differential equations for mass, momentum, energy and species (nano-particle concentration) are formulated with magnetic body force term. Viscous and Joule dissipation effects are neglected. The emerging nonlinear, coupled, boundary value problem is solved numerically using the Runge–Kutta fourth order method along with a shooting technique. Graphical solutions for velocity, temperature, concentration field, skin friction and Nusselt number are presented. Furthermore stream function plots are also included. Validation with Nakamura’s finite difference algorithm is included. Increasing nanofluid viscosity is observed to enhance temperatures and concentrations but to reduce velocity magnitudes. Nusselt number is enhanced with both thermal and species Grashof numbers whereas it is reduced with increasing thermophoresis parameter and Schmidt number. The model is applicable in nano-material manufacturing processes involving extruding sheets.

CNT suspended nanofluid analysis in a flexible tube with ciliated walls

Abstract.Abstract: The current investigation is carried out to analyze the effect of heat transfer in a flexible tube with ciliated walls and carbon nanotubes. The problem has been formulated in the form of non-linear partial differential equations, which are then reduced to ordinary differential equation form using the dimensionless variables and the conditions of low Reynolds number and long wavelength. Exact solutions have been obtained for velocity, temperature and pressure gradient and graphs for velocity, temperature and pressure gradient have been plotted for a better analysis of the solution.

Metallic Nanoparticles Analysis for the Peristaltic Flow in an Asymmetric Channel With MHD

The peristaltic flow of an incompressible viscous-fluid-containing metallic nanoparticles in an irregular conduit is analyzed. The metallic nanoparticles for the peristaltic flow are not explored so far. The governing equations are streamlined using “long wavelength and low Reynolds number approximation.” Exact solutions have been evaluated for velocity, pressure gradient, the solid volume fraction of the nanoparticles, and temperature profile. The effects of various flow parameters, i.e., Hartmann number, Eckert number, the solid volume fraction of the nanoparticles amplitude ratio, and Prandtl number are presented graphically.

Buoyancy and Radiation Effect on Stagnation Point Flow of Micropolar Nanofluid Along a Vertically Convective Stretching Surface

Present model examines the 2-D boundary layer flow of natural convective micropolar nanofluid along a vertically stretching sheet. Moreover, we have considered the simultaneous effects of radiation and convective boundary surface. Influences of nanoparticles are also analyzed for both assisting and opposing flow. Similarity transformations are used to transform the governing nonlinear partial differential equation to ordinary differential equations. The condensed boundary layer equations for nanomicropolar fluid model are solved numerically. The effects of emerging parameters on velocity, temperature, and nanoparticle volumetric expansion profiles are discussed. Stimulating results are presented graphically and explained physically. The heat transfer rate and concentration rate are also displayed graphically for different flow control parameters.

Peristaltic Flow of a Jeffrey Fluid with Variable Viscosity in an Asymmetric Channel

In this article, we have considered incompressible Jeffrey fluids and studied the effects of variable viscosity in the form of a well-known Reynold’s model of viscosity in an asymmetric channel. The fluid viscosity is assumed to vary as an exponential function of temperature. The governing fundamental equations are approximated under the assumption of long wavelength and low Reynold number. The governing momentum and energy equations are solved using regular perturbation in terms of a small viscosity parameter β to obtain the expressions for stream functions pressure rise and temperature field. Numerical results are obtained for different values of viscosity parameter β , channel width d, wave amplitude b, and Jeffrey parameter λ1. It is observed that the behaviour of the physical parameters λ1, β , and d on pressure rise versus flow rate is as follows: when we increase these parameters pressure rise decreases while pressure rise increases with the increase in b. It is also observed that temperature profile increases when we increase Ec, Pr, and β . Trapping phenomena are also discussed at the end of the article to see the behaviour of different parameters on streamlines

Power law fluid model for blood flow through a tapered artery with a stenosis

Abstract In the present paper, blood flow through a tapered artery with a stenosis is analyzed, assuming the flow is steady and blood is treated as non-Newtonian power law fluid model. Exact solution has 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. converging tapering, diverging tapering, non-tapered artery) have been examined for different parameters of interest. Some special cases of the problem are also presented.