Numerical study for nonlinear radiative peristaltic flow in a rotating frame

2018 ◽  
Vol 96 (6) ◽  
pp. 569-575 ◽  
Author(s):  
H. Zahir ◽  
T. Hayat ◽  
A. Alsaedi ◽  
B. Ahmad
Keyword(s):  
Transfer Rate ◽  
Numerical Study ◽  
Peristaltic Flow ◽  
Rotating Frame ◽  
Asymmetric Channel ◽  
Third Grade Fluid ◽  
Inertial Frames ◽  
Nonlinear Version ◽  
Grade Fluid ◽  
Parameters Of Interest

Peristaltic flow of third-grade fluid in a tapered asymmetric channel is discussed. The whole system is considered in a rotating frame. Unlike the traditional situation, the nonlinear version of thermal radiation is invoked. The resulting problems are solved numerically. Comparative study between rotating and inertial frames is presented. The results of velocity, temperature, and heat transfer rate are analyzed for different parameters of interest.

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.

scholarly journals Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder

2019 ◽  
Vol 8 (1) ◽  
pp. 673-687
Author(s):  
S. Abdul Gaffar ◽  
V. Ramachandra Prasad ◽  
P. Ramesh Reddy ◽  
B.Md. Hidayathulla Khan
Keyword(s):  
Heat Transfer ◽  
Skin Friction ◽  
Heat Transfer Rate ◽  
Transfer Rate ◽  
Third Grade ◽  
Materials Processing ◽  
Third Grade Fluid ◽  
Fluid Parameter ◽  
Grade Fluid ◽  
Horizontal Circular Cylinder

Abstract In this article, we study the nonlinear steady thermal convection of an incompressible third-grade non-Newtonian fluid from a horizontal circular cylinder. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-differences Keller Box technique. The influence of a number of emerging non-dimensional parameters, namely the third-grade fluid parameter (ϕ), the material fluid parameters (ϵ1, ϵ2), Prandtl number (Pr), Biot number (y), thermal radiation (F) and dimensionless tangential coordinate (ξ) on velocity and temperature evolution in the boundary layer regime are examined in detail. Furthermore, the effects of these parameters on surface heat transfer rate and local skin friction are also investigated. Validation with earlier Newtonian studies is presented and excellent correlation is achieved. It is found that the velocity, skin friction and Nusselt number (heat transfer rate) reduce with increasing third grade fluid parameter (ϕ), whereas the temperature is enhanced. Increasing material fluid parameter (ϵ1) reduces the velocity and heat transfer rate but enhances the temperature and skin friction. The study is relevant to chemical materials processing applications and low density polymer materials processing.

scholarly journals Peristaltic Flow of a Third-Grade Fluid in a Planar Channel

1999 ◽  
Vol 4 (2) ◽  
pp. 113-120
Author(s):  
F. Akyıldız ◽  
H. Demir ◽  
V. Ertürk
Keyword(s):  
Peristaltic Flow ◽  
Third Grade ◽  
Planar Channel ◽  
Third Grade Fluid ◽  
Grade Fluid

scholarly journals Constant Accelerated Flow for a Third-Grade Fluid in a Porous Medium and a Rotating Frame with the Homotopy Analysis Method

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Zainal Abdul Aziz ◽  
Mojtaba Nazari ◽  
Faisal Salah ◽  
Dennis Ling Chuan Ching
Keyword(s):  
Porous Medium ◽  
Analytic Solution ◽  
Third Grade ◽  
Approximate Analytic Solution ◽  
Rotating Frame ◽  
Analysis Method ◽  
Third Grade Fluid ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Accelerated Flow

The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of a constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame. HAM is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. The approximate analytic solution for constant accelerated flow is obtained by using HAM. HAM contains the auxiliary parameterℏ, which provides us with a straightforward way to obtain the convergence region of the series solution. Graphical results are plotted and the consequences discussed. The obtained solutions clearly satisfy the governing equations and all the imposed initial and boundary conditions. Many interesting results can be obtained as the special cases of the presented analysis. The influence of the material parameters of a third-grade fluid and rotation upon the velocity field is finally deliberated.

Hall and Ohmic Heating Effects on the Peristaltic Transport of a Carreau–Yasuda Fluid in an Asymmetric Channel

2014 ◽  
Vol 69 (1-2) ◽  
pp. 43-51 ◽  
Author(s):  
Tasawar Hayat ◽  
Fahad M. Abbasi ◽  
Ahmed Alsaedi ◽  
Fuad Alsaadi
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Transfer Rate ◽  
Hall Current ◽  
Ohmic Heating ◽  
Peristaltic Flow ◽  
Asymmetric Channel ◽  
Heating Effects ◽  
The Mathematical Model ◽  
First Time

The effects of Hall current and Ohmic heating are analyzed for the peristaltic flow of a Carreau- Yasuda fluid in an asymmetric channel. The mathematical model for peristalsis of the Carreau- Yasuda fluid is provided for the first time in the literature. The problem is developed in the presence of viscous dissipation. Solutions for pressure gradient, stream function, axial velocity, and temperature are established and discussed. The heat transfer rate at the wall is first computed numerically and then examined. A comparative study for viscous, Carreau, and Carreau-Yasuda fluids is also made.

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