Peristaltic transport of a Jeffrey fluid with double-diffusive convection in nanofluids in the presence of inclined magnetic field

2018 ◽  
Vol 15 (11) ◽  
pp. 1850181 ◽  
Author(s):  
Safia Akram ◽  
M. Zafar ◽  
S. Nadeem
Keyword(s):  
Fluid Model ◽  
Concentration Field ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Jeffrey Fluid ◽  
Double Diffusive Convection ◽  
Long Wavelength ◽  
Diffusive Convection ◽  
Stream Functions ◽  
Double Diffusive

In this paper, the effects of peristaltic transport with double-diffusive convection in nanofluids through an asymmetric channel with different waveforms is presented. Mathematical modeling for two-dimensional and two-directional flows of a Jeffery fluid model along with double-diffusive convection in nanofluids are given. Exact solutions are obtained for nanoparticle fraction field, concentration field, temperature field, stream functions, pressure gradient and pressure rise in terms of axial and transverse coordinates under the restrictions of long wavelength and low Reynolds number. With the help of computational and graphical results, the effects of Brownian motion, thermospheres, Dufour, Soret and Grashof numbers (thermal, concentration, nanoparticles) on peristaltic flow patterns with double-diffusive convection are discussed.

scholarly journals Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls

2014 ◽  
Vol 11 (1-2) ◽  
pp. 81-90 ◽  
Author(s):  
Arshad Riaz ◽  
S. Nadeem ◽  
R. Ellahi ◽  
A. Zeeshan
Keyword(s):  
Exact Solution ◽  
Fluid Model ◽  
Rectangular Channel ◽  
Three Dimensional ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Long Wavelength ◽  
Peristaltic Pumping ◽  
Stream Functions

In the present article, we tried to develop the exact solutions for the peristaltic flow of Jeffrey fluid model in a cross section of three dimensional rectangular channel having slip at the peristaltic boundaries. Equation of motion and boundary conditions are made dimensionless by introducing some suitable nondimensional parameters. The flow is considered under the approximations of low Reynolds number and long wavelength. Exact solution of the obtained linear boundary value problem is evaluated. However, the expression for pressure rise is calculated numerically with the help of numerical integration. All pertinent parameters are discussed through graphs of pressure rise, pressure gradient, velocity and stream functions. It is found that presence of slip at the walls reduces the flow velocity but increases the peristaltic pumping characteristics.

scholarly journals Effect of Rotation and Magnetic Field through Porous Medium on Peristaltic Transport of a Jeffrey Fluid in Tube

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
S. R. Mahmoud
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Analytic Solution ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Jeffrey Fluid ◽  
Axial Pressure ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Axial Pressure Gradient

This paper is concerned with the analysis of peristaltic motion of a Jeffrey fluid in a tube with sinusoidal wave travelling down its wall. The effect of rotation, porous medium, and magnetic field on peristaltic transport of a Jeffrey fluid in tube is studied. The fluid is electrically conducting in the presence of rotation and a uniform magnetic field. An analytic solution is carried out for long wavelength, axial pressure gradient, and low Reynolds number considerations. The results for pressure rise and frictional force per wavelength were obtained, evaluated numerically, and discussed briefly.

Natural Convective Flow Analysis For Nanofluids With Reynold,s Model of Viscosity

2016 ◽  
Vol 14 (5) ◽  
pp. 1101-1111 ◽  
Author(s):  
Noreen Sher Akbar ◽  
Liaqat Ali Khan ◽  
Zafar Hayat Khan
Keyword(s):  
Variable Viscosity ◽  
Flow Analysis ◽  
Concentration Field ◽  
Pressure Rise ◽  
Field Trapping ◽  
Fluid Viscosity ◽  
Long Wavelength ◽  
Stream Functions ◽  
Fundamental Equations ◽  
S Model

Abstract In this article, we have considered an incompressible nanofluids flow 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,s number. The governing momentum and energy and nanoparticle equations are solved using shooting technique to obtain the expressions for stream functions, pressure rise temperature and nanoparticle concentration field. Trapping phenomena are also discussed at the end of the article to see the behaviour of different parameters on streamlines. It is analyzed that the pressure rise and amount of flow rate are charitable conflicting consequences. It is analyzed that the temperature profile increases with the increase in Prandtl parameter Pr, the Brownian motion parameter ${N_b}$ and the thermophoresis parameter ${N_t}$ .

scholarly journals Partial Slip Impact on Double Diffusive Convection Flow of Magneto-Carreau Nanofluid through Inclined Peristaltic Asymmetric Channel

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Safia Akram ◽  
Maria Athar ◽  
Khalid Saeed ◽  
Taseer Muhammad ◽  
Mir Yasir Umair
Keyword(s):  
Volume Fraction ◽  
Pressure Rise ◽  
Partial Slip ◽  
Convection Flow ◽  
Double Diffusive Convection ◽  
Asymmetric Channel ◽  
Slip Parameter ◽  
Diffusive Convection ◽  
Carreau Nanofluid ◽  
Double Diffusive

The significance of partial slip on double diffusive convection on magneto-Carreau nanofluid through inclined peristaltic asymmetric channel is examined in this paper. The two-dimensional and directional flow of a magneto-Carreau nanofluid is mathematically described in detail. Under the lubrication technique, the proposed model is simplified. The solutions of extremely nonlinear partial differential equations are calculated using a numerical technique. Graphical data are displayed using Mathematica software and Matlab to examine how temperature, pressure rise, concentration, pressure gradient, velocity profile, nanoparticle volume fraction, and stream functions behave on emerging parameters. It is noticed that as the velocity slip parameter is increased, the axial velocity at the channel’s center increases. Additionally, near the boundary, opposite behavior is observed. The temperature, concentration, and nanoparticle profile drops by increasing thermal slip, concentration slip, and nanoparticle slip parameter.

Slip boundaries effects on double-diffusive convection of magneto-pseudoplastic nanofluid on peristaltic flux in an inclined asymmetric channel

2021 ◽  
pp. 095440892110630
Author(s):  
Safia Akram ◽  
Maria Athar ◽  
Khalid Saeed ◽  
Alia Razia ◽  
Taseer Muhammad ◽  
...  
Keyword(s):  
Numerical Technique ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Physical Parameters ◽  
Double Diffusive Convection ◽  
Asymmetric Channel ◽  
Diffusive Convection ◽  
Highly Nonlinear ◽  
Inclined Asymmetric Channel ◽  
Double Diffusive

The implications of double-diffusive convection and an inclined magnetic field on the peristaltic transport of a pseudoplastic nanofluid in an inclined asymmetric channel with slip boundaries were investigated in this research. The present problem is mathematically modeled using lubrication techniques, which results in highly nonlinear equations for the proposed problem that is solved using a numerical technique. The graphical findings show how temperature, pressure rise, concentration, pressure gradient, nanoparticle fraction, and stream functions affect key physical parameters of interest. It is revealed that the velocity value rises as the velocity slip parameter, temperature, and solutal Grashof number rise. Furthermore, increasing thermal slip, Dufour, Soret, Brownian motion, and thermophoresis factors increase the temperature profile. If [Formula: see text] [Formula: see text] [Formula: see text] and [Formula: see text] the viscous model of classical Newtonian fluid is a special case of the preceding model.

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