scholarly journals Analysis of Heating Effects and Different Wave Forms on Peristaltic Flow of Carreau Fluid in Rectangular Duct

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Safia Akram ◽  
Najma Saleem
Keyword(s):  
Peristaltic Transport ◽  
Duct Flow ◽  
Rectangular Duct ◽  
Carreau Fluid ◽  
Heating Effects ◽  
Wave Forms ◽  
Side Walls ◽  
Horizontal Side ◽  
Power Law Index ◽  
The Impact

The existing analysis deals with heat transfer occurrence on peristaltic transport of a Carreau fluid in a rectangular duct. Flow is scrutinized in a wave frame of reference moving with velocity c away from a fixed frame. A peristaltic wave propagating on the horizontal side walls of a rectangular duct is discussed under lubrication approximation. In order to carry out the analytical solution of velocity, temperature, and pressure gradient, the homotopy perturbation method is employed. Graphical results are displayed to see the impact of various emerging parameters of the Carreau fluid and power law index. Trapping effects of peristaltic transport is also discussed and observed that number of trapping bolus decreases with an increase in aspect ratio β.

Peristaltic Flow of a Carreau Fluid in a Rectangular Duct

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
S. Nadeem ◽  
Safia Akram ◽  
T. Hayat ◽  
Awatif A. Hendi
Keyword(s):  
Homotopy Perturbation Method ◽  
Wave Length ◽  
Peristaltic Flow ◽  
Rectangular Duct ◽  
Carreau Fluid ◽  
Fixed Frame ◽  
Homotopy Perturbation ◽  
Long Wave ◽  
Side Walls ◽  
Horizontal Side

In the present investigation we have studied the peristaltic flow of a Carreau fluid in a rectangular duct. The flow is investigated in the wave frame of reference moving with the velocity c away from the fixed frame. The peristaltic wave propagating on the horizontal side walls of a rectangular duct is studied under long wave length and low Reynolds number approximation. The analytical solutions of velocity and pressure gradient have been found under lubrication approach with the help of Homotopy perturbation method. Graphical results are displayed to see the behavior of various emerging parameters of Carreau fluid. The comparison of the present work is also made with the existing literature.

Approximating Annular Duct Flow in ER/MR Dampers Using a Rectangular Duct

2003 ◽  
Author(s):  
Jin-Hyeong Yoo ◽  
Norman M. Wereley
Keyword(s):  
Plastic Material ◽  
Flow Mode ◽  
Uniform Field ◽  
Duct Flow ◽  
Rectangular Duct ◽  
Bingham Plastic ◽  
Analysis And Design ◽  
Mr Dampers ◽  
Annular Duct ◽  
The Impact

In general, ER/MR dampers have a cylindrical cross-section, for reasons of simplicity of design and maximum strength of the damper. Usually the ER/MR effect is activated by applying field across an annular valve. However, for simplicity of the analysis and design, a rectangular duct flow model is usually adopted. This paper compares analytical solutions of the rectangular and annular duct model under the assumption of uniform field across the valve gap. To compare errors between annular and rectangular duct models, a formulation for the error in the case of Bingham plastic material will be derived for flow mode dampers. This paper focuses on the errors of shear stress, velocity profile and equivalent viscous damping coefficient arising from the approximation of an annular duct as a rectangular duct. The impact of the small gap assumption, that is, the valve gap, d, is much smaller than the annular radius, R1, is thoroughly investigated. We conclude that the approximate rectangular duct model can accurately describe the annular valve behavior as long as d/R1 ≪ 1.

scholarly journals Peristaltic transport of a Carreau fluid in a compliant rectangular duct

2014 ◽  
Vol 53 (2) ◽  
pp. 475-484 ◽  
Author(s):  
Arshad Riaz ◽  
R. Ellahi ◽  
S. Nadeem
Keyword(s):  
Peristaltic Transport ◽  
Rectangular Duct ◽  
Carreau Fluid

scholarly journals On the flow of MHD generalized maxwell fluid via porous rectangular duct

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 989-1002
Author(s):  
Aamir Farooq ◽  
Muhammad Kamran ◽  
Yasir Bashir ◽  
Hijaz Ahmad ◽  
Azeem Shahzad ◽  
...  
Keyword(s):  
Fluid Model ◽  
Maxwell Fluid ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Rectangular Duct ◽  
Modified Darcy’S Law ◽  
Initial Boundary Value ◽  
Generalized Maxwell Fluid ◽  
Limiting Case ◽  
The Impact

Abstract The purpose of this proposed investigation is to study unsteady magneto hydrodynamic (MHD) mixed initial-boundary value problem for incompressible fractional Maxwell fluid model via oscillatory porous rectangular duct. Considering the modified Darcy’s law, the problem is simplified by using the method of the double finite Fourier sine and Laplace transforms. As a limiting case of the general solutions, the same results can be obtained for the classical Maxwell fluid. Also, the impact of magnetic parameter, porosity of medium, and the impact of various material parameters on the velocity profile and the corresponding tangential tensions are illuminated graphically. At the end, we will give the conclusion of the whole paper.

scholarly journals Impact of partial slip and lateral walls on peristaltic transport of a couple stress fluid in a rectangular duct

2021 ◽  
Vol 104 (2) ◽  
pp. 003685042110136
Author(s):  
Safia Akram ◽  
Najma Saleem ◽  
Mir Yasir Umair ◽  
Sufian Munawar
Keyword(s):  
Couple Stress ◽  
Three Dimensional ◽  
Pressure Rise ◽  
Partial Slip ◽  
Couple Stress Fluid ◽  
Rectangular Duct ◽  
Peristaltic Pumping ◽  
Current Article ◽  
The Impact ◽  
Lateral Walls

The impact of lateral walls and partial slip with different waveforms on peristaltic pumping of couple stress fluid in a rectangular duct with different waveforms has been discussed in the current article. By means of a wave frame of reference the flow is explored travelling away from a fixed frame with velocity c. Peristaltic waves generated on horizontal surface walls of rectangular duct are considered using lubrication technique. Mathematical modelling of couple fluid for three-dimensional flow are first discussed in detail. Lubrication approaches are used to simplify the proposed problem. Exact solutions of pressure gradient, pressure rise, velocity and stream function have been calculated. Numerical and graphical descriptions are displayed to look at the behaviour of diverse emerging parameters.

Global-symmetry breaking of turbulent puffs in rectangular duct flow

2020 ◽  
Vol 2020 (0) ◽  
pp. OS02-04
Author(s):  
Akito KUNIHIRO ◽  
Masaki SHIMIZU ◽  
Genta KAWAHARA
Keyword(s):  
Symmetry Breaking ◽  
Global Symmetry ◽  
Duct Flow ◽  
Rectangular Duct

scholarly journals Effects of small boundary perturbation on the MHD duct flow

2017 ◽  
Vol 44 (1) ◽  
pp. 83-101 ◽  
Author(s):  
Ulavathi Mahabaleshwar ◽  
Igor Pazanin ◽  
Marko Radulovic ◽  
Francisco Suárez-Grau
Keyword(s):  
Magnetic Field ◽  
Asymptotic Solution ◽  
Asymptotic Analysis ◽  
Cross Section ◽  
Transverse Magnetic ◽  
Boundary Perturbation ◽  
Duct Flow ◽  
Rectangular Duct ◽  
Induced Magnetic Field ◽  
Explicit Formulae

In this paper, we investigate the effects of small boundary perturbation on the laminar motion of a conducting fluid in a rectangular duct under applied transverse magnetic field. A small boundary perturbation of magnitude ? is applied on cross-section of the duct. Using the asymptotic analysis with respect to ?, we derive the effective model given by the explicit formulae for the velocity and induced magnetic field. Numerical results are provided confirming that the considered perturbation has nonlocal impact on the asymptotic solution.

scholarly journals Modified boundary integral method for pressure driven MHD duct flow

1989 ◽  
Vol 12 (1) ◽  
pp. 159-174
Author(s):  
B. D. Aggarwala ◽  
P. D. Ariel
Keyword(s):  
Magnetic Field ◽  
Integral Method ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Duct Flow ◽  
Rectangular Duct ◽  
Computationally Efficient ◽  
Electrically Conducting ◽  
Flow Through ◽  
The Magnetic Field

In this paper, we investigate the flow of a viscous, Incompressible, electrically conducting fluid through a rectangular duct in the presence of a magnetic field, when one of the boundaries perpedicular to the magnetic field is partly conducting and partly Insulating, by a modified Boundary Integral Method.Three problems are considered (i) flow through an infinite channel, (ii) flow through a rectangular duct when the conducting part is symmetrically situated, and (iii) flow through a rectangular duct when the conducting part is arbltrarily positioned.Such problems have been studied before by asymptotic means for large values of M, the Hartmann number. Hoverer, the present modification of the Boundary Integral Method renders the problem computationally efficient and provides a reliable numerical solution for all values of M. For large M, our coputation time decreases significantly.

ENTROPY GENERATION FOR A NON-NEWTONIAN SHEAR THINNING FLUID WITH VISCOUS HEATING EFFECTS

2017 ◽  
Vol 41 (4) ◽  
pp. 593-607
Author(s):  
Muharrem Imal ◽  
Coskun Ozalp ◽  
Bulent Yaniktepe ◽  
Mohammed Mehdi-Rashidi ◽  
Ertac Hurdogan
Keyword(s):  
Temperature Dependence ◽  
Entropy Generation ◽  
Pseudospectral Method ◽  
Shear Thinning ◽  
Bejan Number ◽  
Parallel Plates ◽  
Heating Effects ◽  
Exponential Temperature Dependence ◽  
Power Law Index ◽  
Shear Thinning Fluid

This paper reports the entropy generation of a two-dimensional, non-isothermal, steady, hydrodynamically and thermally fully-developed flow of an incompressible, non-Newtonian shear thinning fluid between two infinite parallel plates. The inelastic fluid is modeled by a two parameter Carreau constitutive equation with an exponential temperature dependence of viscosity. Temperature dependence of the fluid is modeled through Arrhenius law. Momentum and energy balance equations, which govern the flow, are coupled, and this nonlinear boundary value problem is solved numerically using a Pseudospectral method based on the Chebyshev polynomials. The effect of various flow controlling parameters on velocity, temperature and entropy generation is analyzed. The results indicated that Brinkman number and activation energy have opposite effects on entropy generation due to heat transfer. In contrast to the power-law index, an increase in the material time constant results in a decrease in the Bejan Number.

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