Peristaltic flow of an Eyring Prandtl fluid in a diverging tube with heat and mass transfer

Iftikhar, Naheeda; Rehman, Abdul

doi:10.1016/j.ijheatmasstransfer.2017.04.013

Cited by 42 publications

(10 citation statements)

References 29 publications

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“…With the help of shooting method, we can solve BVP problem numerically by taking equations (10-11) which are ordinary differential equations of non-linear type along with desired boundary condition according to the problem given in equations (12)(13). In solution process take equations (10)(11) along with boundary conditions in (12)(13) and first step is to reduce these equations into first order equations and then implement initial guess to run the iterative process of shooting method to reach at the desired approximate solution [31][32][33][34].…”

Section: Numerical Solutionmentioning

confidence: 99%

Flow of a Williamson Fluid over a Stretching Sheet Containing Nanoparticles

Deba¹,

Rehman²,

Khan³

et al. 2021

IJSE

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In this article, an attempt has been made to study the behavior of non-Newtonian viscoelastic model of a Williamson fluid flow problem containing nanoparticles and is assumed to be flowing over a stretching sheet stretched along its surface in both directions with the same constant surface stretching velocity. The boundary layer governing equations of the conservation of mass, conservation of linear momentum and the energy are first modeled into a set of nonlinear coupled partial differential equations along with the appropriate boundary conditions. A numerical study of impact of nanofluid flow over a stretching sheet is tabulated. The basic equations of Williamson fluid are modeled with the help of Navier-Stokes equations for momentum and heat transfer. With the assistance of appropriate similarity transformations these pair of PEDs is transformed into up-to-date system of coupled nonlinear ODEs. These transformed systems of equations are evaluated numerically with the assistance of shooting method using forth order. The dominant physical properties for system of equations of the model that is wall shear stress, and the coefficient of skin friction are acquired. The behavior of nondimensional velocity and thermal flow profiles are discussed for the important involved dimensionless parameters like the Williamson fluid parameter and the nanoparticles volume fraction through tables and graphs.

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Section: Numerical Solutionmentioning

confidence: 99%

Flow of a Williamson Fluid over a Stretching Sheet Containing Nanoparticles

Deba¹,

Rehman²,

Khan³

et al. 2021

IJSE

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“…The system of ordinary differential equations in Equations (11)(12)(13) subject to the boundary conditions in Equations (14)(15) is solved numerically using the fourth order shooting method [29][30][31]. The graphical behaviors of the different important involved parameters are graphically presented in Figures (1)(2)(3)(4)(5)(6).…”

Section: Solution Of the Problemmentioning

confidence: 99%

Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate

Khan¹,

Rehman²,

Sheikh³

et al. 2020

AJMCM

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In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and nanoparticle concentration. The system of coupled nonlinear boundary layer partial differential equations governing the flowing fluid momentum and heat transfer characteristics are reduced to a new simplified coupled nonlinear system of ordinary differential equations by means of a suitable similarity transformation. The transformed set of nonlinear coupled ordinary differential equations is than solved numerically by means of the fourth order numerical scheme the Runge-Kutta shooting method. The effects of important involved parameters that control the flow field and heat transfer characteristics, that is the viscosity parameter, the convection parameter, the Porosity parameter, the Prandtl number and the Lewis number have been obtained and discussed. Numerical solutions for velocity and temperature are sketched and graphically analyzed. The graphical results observed are indicating that by increasing the values of the non-dimensional viscosity parameter, the dimension less fluid flow profile increases, while for increasing values of the nanoparticles Brownian motion parameter, the nanoparticle concentration profile increases.

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“…Moreover, when the radius of curvature which is non-dimensional becomes very big, a uniform pattern in streamlines and velocity was found. In the in uence of heat and mass transfer, the movement of peristalsis of a non-Newtonian Eyring Prandtl uid through a diverging conduit was presented by Iftikhar et al [14]. They obtained the solution for non-linear differential equations under long wavelength and low Reynolds number assumptions and the exact solution for velocity, temperature, and concentration pro les are obtained using the method of perturbation.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer Analysis in MHD Peristaltic Flow of Newtonian and Non-Newtonian Fluids bounded with Porous Tilted Channel

Hussain

2022

Preprint

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This work investigates the dynamics of peristaltic blood flow on a non-Newtonian Jeffery fluid in the presence of a magnetic environment by taking a porous medium. The channel is considered to be convective and porous which is inclined at a certain angle to the horizontal in order to understand the behavior of blood flow in a biological system. Moreover, velocity slip, concentration slip, and convective boundary conditions are taken into account. The mathematical development of the governing equations gives a velocity, temperature, and concentration solution under the assumption of long wavelength and low Reynolds number. The technique of perturbation is used on the non-linear equations of velocity and temperature to find their analytical solutions while the exact solution is obtained for the equation of concentration. A numerical software named Wolfram MATHEMATICA is used to find the analytical solution and graphical framework of velocity, temperature, and concentration profiles. A comparison of Newtonian and Jeffery fluid is established graphically to find the behavior of various physical parameters used in the analysis. Results show that the porous medium parameter enhanced the velocity and temperature profiles, and diminished the concentration profile. Moreover, the Hartman number slows down the velocity of the fluid.

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Peristaltic flow of an Eyring Prandtl fluid in a diverging tube with heat and mass transfer

Cited by 42 publications

References 29 publications

Flow of a Williamson Fluid over a Stretching Sheet Containing Nanoparticles

Flow of a Williamson Fluid over a Stretching Sheet Containing Nanoparticles

Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate

Heat and Mass Transfer Analysis in MHD Peristaltic Flow of Newtonian and Non-Newtonian Fluids bounded with Porous Tilted Channel

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