Simultaneous effects of variable viscosity and thermal conductivity on peristaltic flow in a vertical asymmetric channel

2014 ◽  
Vol 92 (12) ◽  
pp. 1541-1555 ◽  
Author(s):  
Kh.S. Mekheimer ◽  
Y. Abd elmaboud
Keyword(s):  
Thermal Conductivity ◽  
Variable Viscosity ◽  
Nonlinear Partial Differential Equation ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Long Wavelength ◽  
Flow Parameters ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation ◽  
Concentration Asymmetry

This paper discusses the effects of variable viscosity and thermal conductivity on peristaltic flow of a Newtonian fluid in a vertical asymmetric channel. Both viscosity and thermal conductivity are considered as a function of temperature. The long wavelength approximation is used to linearize the governing equations. The system of the governing nonlinear partial differential equation is solved using the perturbation method. Solutions are obtained for the velocity field, the temperature and the concentration. Asymmetry in the flow is induced by traveling waves of different phase and amplitude that propagate along the channel walls. The numerical results show that variable viscosity and thermal conductivity have significant influence on velocity, temperature, and mass transfer. The importance of pertinent flow parameters entering into the flow modeling is discussed.

Slip and Heat Transfer Effects on Peristaltic Motion of a Carreau Fluid in an Asymmetric Channel

2010 ◽  
Vol 65 (12) ◽  
pp. 1121-1127 ◽  
Author(s):  
Tasawar Hayat ◽  
Najma Saleem ◽  
Awatif A. Hendi
Keyword(s):  
Heat Transfer ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Peristaltic Motion ◽  
Carreau Fluid ◽  
Long Wavelength ◽  
Flow And Heat Transfer ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation ◽  
Pumping And Trapping

An analysis has been carried out for peristaltic flow and heat transfer of a Carreau fluid in an asymmetric channel with slip effect. The governing problem is solved under long wavelength approximation. The variations of pertinent dimensionless parameters on temperature are discussed. Pumping and trapping phenomena are studied.

Convective heat transfer analysis for MHD peristaltic flow in an asymmetric channel

2014 ◽  
Vol 07 (03) ◽  
pp. 1450023 ◽  
Author(s):  
M. Awais ◽  
S. Farooq ◽  
H. Yasmin ◽  
T. Hayat ◽  
A. Alsaedi
Keyword(s):  
Peristaltic Flow ◽  
Heat Transfer Analysis ◽  
Asymmetric Channel ◽  
Convective Conditions ◽  
Long Wavelength ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation ◽  
Wave Trains ◽  
Temperature And Pressure ◽  
The Impact

Magnetohydrodynamic peristaltic flow of Jeffery fluid in an asymmetric channel is addressed. The channel walls satisfy the convective conditions. Asymmetry here is considered due to wave trains of different amplitudes and phases. Solutions for the velocity, temperature and pressure gradient are obtained using long wavelength approximation. Plots reflecting the impact of various parameters of interest are shown and examined.

Peristaltic thrusting of a thermal-viscosity nanofluid through a resilient vertical pipe

2020 ◽  
Vol 75 (8) ◽  
pp. 727-738 ◽  
Author(s):  
Ramzy M. Abumandour ◽  
Islam M. Eldesoky ◽  
Mohamed H. Kamel ◽  
Mohamed M. Ahmed ◽  
Sara I. Abdelsalam
Keyword(s):  
Pressure Gradient ◽  
Hartmann Number ◽  
Amplitude Ratio ◽  
Variable Viscosity ◽  
Friction Forces ◽  
Long Wavelength ◽  
Viscosity Parameter ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation ◽  
Theoretical Results

AbstractIn the article, the effects of the thermal viscosity and magnetohydrodynamic on the peristalsis of nanofluid are analyzed. The dominant neutralization is deduced through long wavelength approximation. The analytical solution of velocity and temperature is extracted by using steady perturbation. The pressure gradient and friction forces are obtained. Numerical results are calculated and contrasted with the debated theoretical results. These results are calculated for various values of Hartmann number, variable viscosity parameter and amplitude ratio. It is observed that the pressure gradient is reduced with an increase in the thermal viscosity parameter and that the Hartmann number enhances the pressure difference.

scholarly journals Impacts of Heat and Mass Transfer on Magneto Hydrodynamic Peristaltic Flow Having Temperature-dependent Properties in an Inclined Channel Through Porous Media

2020 ◽  
pp. 854-869
Author(s):  
Rabiha S. Kareem ◽  
Ahmed M. Abdulhadi
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Variable Viscosity ◽  
Peristaltic Flow ◽  
Long Wavelength ◽  
Inclined Channel ◽  
Flow Parameters ◽  
Temperature Dependent Properties ◽  
Mathematica Software ◽  
Velocity Pressure

In this paper, we study the impacts of variable viscosity , heat and mass transfer on magneto hydrodynamic (MHD) peristaltic flow in a asymmetric tapered inclined channel with porous medium . The viscosity is considered as a function of temperature. The slip conditions at the walls were taken into consideration. SmallReynolds number and the long wavelength approximations were used to simplify the governing equations. A comparison between the two velocities in cases of slip and no-slip was plotted. It was observed that the behavior of the velocity differed in the two applied models for some parameters. Mathematica software was used to estimate the exact solutions of temperature and concentration profiles. The resolution of the equations to the momentum was based on the perturbation method to find the axial velocity, pressure gradient and trapping phenomenon. The influences of the various flow parameters of the problem on these distributions were debated and proved graphically by figures.

Application of Rabinowitsch Fluid Model for the Mathematical Analysis of Peristaltic Flow in a Curved Channel

2015 ◽  
Vol 70 (7) ◽  
pp. 513-520 ◽  
Author(s):  
Ehnber Naheed Maraj ◽  
Sohail Nadeem
Keyword(s):  
Current Problem ◽  
Fluid Model ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Shear Stresses ◽  
Curved Channel ◽  
Long Wavelength ◽  
Long Wavelength Approximation ◽  
Dimensional Parameters ◽  
Wavelength Approximation

AbstractThe present work is the mathematical investigation of peristaltic flow of Rabinowitsch fluid in a curved channel. The current problem is modeled and solutions for non-dimensional differential equation are obtained under low Reynolds number and long wavelength approximation. The effects of long lasting non-dimensional parameters on exact solution for velocity profile, pressure rise and shear stresses are studied graphically in the last section. Tables are also incorporated for shear stresses at the walls of the curved channel.

scholarly journals Effects of Heat and Mass Transfer on MHD Peristaltic Flow of a Non-Newtonian Fluid through a Porous Medium between Two Coaxial Cylinders

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Abeer A. Shaaban ◽  
Mohamed Y. Abou-zeid
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Flow Characteristics ◽  
Fluid Flows ◽  
Peristaltic Flow ◽  
Governing Equations ◽  
Long Wavelength ◽  
Finite Difference Technique ◽  
Long Wavelength Approximation ◽  
Wavelength Approximation

We investigated the influence of heat and mass transfer on the peristaltic flow of magnetohydrodynamic Eyring-Powell fluid under low Reynolds number and long-wavelength approximation. The fluid flows between two infinite cylinders; the inner tube is uniform, rigid, and rest, while the outer flexible tube has a sinusoidal wave traveling down its wall. The governing equations are solved numerically using finite-difference technique. The velocity, temperature, and concentration distribution are obtained. The features of flow characteristics are analyzed by plotting graphs and discussed in detail.

Peristaltic transport of hydromagnetic Jeffrey fluid with temperature-dependent viscosity and thermal conductivity

2016 ◽  
Vol 09 (02) ◽  
pp. 1650029 ◽  
Author(s):  
Q. Hussain ◽  
S. Asghar ◽  
T. Hayat ◽  
A. Alsaedi
Keyword(s):  
Thermal Conductivity ◽  
Variable Viscosity ◽  
Jeffrey Fluid ◽  
Temperature Profiles ◽  
Inclined Magnetic Field ◽  
Asymmetric Channel ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Long Wavelength ◽  
Dependent Viscosity

In this paper, we investigate the effects of variable viscosity and thermal conductivity on peristaltic flow of Jeffrey fluid in an asymmetric channel. The inclined magnetic field, viscous dissipation and Joule heating are also considered. Wave frame and long wavelength approximations are made to formulate the problem. Pressure gradient, pressure drop per wavelength, velocity and temperature profiles are calculated analytically and discussed graphically. Comparison is made with the previous work for reliability.

Peristaltic Flow of a Non-Newtonian Fluid in an Asymmetric Channel with Convective Boundary Conditions

2013 ◽  
Vol 29 (4) ◽  
pp. 599-607 ◽  
Author(s):  
T. Hayat ◽  
Humaira Yasmin ◽  
Mohammed S. Alhuthali ◽  
Marwan A. Kutbi
Keyword(s):  
Boundary Conditions ◽  
Wave Train ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Convective Boundary Conditions ◽  
Third Order ◽  
Convective Boundary ◽  
Long Wavelength ◽  
Wavelength Approximation

ABSTRACTThis article addresses peristaltic flow of third order fluid in an asymmetric channel. Channel walls are subjected to the convective boundary conditions. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. Long wavelength approximation and perturbation method give the series solutions for the stream function, temperature and longitudinal pressure gradient. Analysis has been further carried out for pressure rise per wavelength through numerical integration. Several graphs of physical interest are displayed and discussed.

Combined Effects of Variable Thermal Conductivity and Electrical Conductivity on Peristaltic Flow of Pseudoplastic Nanofluid in an Inclined Non-Uniform Asymmetric Channel: Applications to Solar Collectors

2019 ◽  
Vol 12 (2) ◽  
Author(s):  
W. M. Hasona ◽  
N. H. Almalki ◽  
A. A. ElShekhipy ◽  
M. G. Ibrahim
Keyword(s):  
Thermal Conductivity ◽  
Electrical Conductivity ◽  
Three Dimensional ◽  
Variable Thermal Conductivity ◽  
Peristaltic Flow ◽  
System Of Nonlinear Equations ◽  
Asymmetric Channel ◽  
Temperature Dependent ◽  
Soret And Dufour Effects ◽  
Long Wavelength

AbstractAs conduction, convection, and radiation are fundamental modes of heat emitter and transfer, this paper looks at the influences of temperature-dependent thermal conductivity and thermal radiation on peristaltic flow of pseudoplastic nanofluids in an inclined non-uniform asymmetric channel. Inclined magnetic field is taken into consideration. As the Wiedemann–Franz law in metals, electrical conductivity has identical behavior as that of thermal conductivity; as freely animated evenness, electrons transfer not only electric current but also heat energy. Consequently, electrical conductivity should be depending on the temperature of nanoparticles. The related equations of momentum, mass, and concentration are reformulated using lubrication approximations (i.e., tiny or zero Reynolds number and long wavelength). The resulting system of nonlinear equations is solved semi-numerically with the aid of the parametric ND solve package using mathematica version 11. Results of velocity, temperature, and concentration distributions are obtained in the analytical three-dimensional forms. The streamline graphs are offered in the terminus, which elucidate the trapping bolus phenomenon. As a special case, a comparison is made and signified with the recently published results by Hayat et al. (2016, Soret and Dufour Effects in MHD Peristalsis of Pseudoplastic Nanofluid With Chemical Reaction,” J. Mol. Liq., 220, pp. 693–706). It's found that, the increases in thermal conductivity and electrical conductivity cause an increase in the temperature of nanofluid and the heat transfer rate gets induced so a better absorption of solar energy is gained.

Magneto-thermo hydrodynamic peristaltic flow of Eyring-Powell nanofluid in asymmetric channel

2018 ◽  
Vol 7 (2) ◽  
pp. 83-90 ◽  
Author(s):  
Saima Noreen
Keyword(s):  
Pressure Rise ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Long Wavelength ◽  
Basic Equations ◽  
Velocity Pressure ◽  
Biot Numbers ◽  
Parameters Of Interest

Abstract This research is devoted to the peristaltic flow of Eyring-Powell nanofluid in an asymmetric channel. Robins-type (convective) boundary conditions are employed in the presence of mixed convection and magnetic field. The basic equations of Eyring-Powell nanofluid are modeled in wave frame of reference. Long wavelength and low Reynolds number approach is utilized. Numerical solution of the governing problem is computed and analyzed. The effects of various parameters of interest on the velocity, pressure rise, concentration and temperature are discussed and illustrated graphically. Brownian motion parameter and thermophoresis parameter facilitates the increase in temperature of fluid. Biot numbers serve to reduce the temperature at channel walls.

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