Effects of Heat Transfer During Peristaltic Transport in Nonuniform Channel With Permeable Walls

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Siddharth Shankar Bhatt ◽  
Amit Medhavi ◽  
R. S. Gupta ◽  
U. P. Singh
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Incompressible Fluid ◽  
Friction Force ◽  
Viscous Incompressible Fluid ◽  
Peristaltic Transport ◽  
Two Dimensional ◽  
Peristaltic Motion ◽  
Long Wavelength ◽  
Permeable Walls

In the present investigation, problem of heat transfer has been studied during peristaltic motion of a viscous incompressible fluid for two-dimensional nonuniform channel with permeable walls under long wavelength and low Reynolds number approximation. Expressions for pressure, friction force, and temperature are obtained. The effects of different parameters on pressure, friction force, and temperature have been discussed through graphs.

scholarly journals Hall Currents and Heat Transfer Effects on Peristaltic Transport in a Vertical Asymmetric Channel through a Porous Medium

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
E. Abo-Eldahab ◽  
E. Barakat ◽  
Kh. Nowar
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Porous Medium ◽  
Frame Of Reference ◽  
Peristaltic Transport ◽  
Shear Stresses ◽  
Asymmetric Channel ◽  
Transfer Effects ◽  
Long Wavelength ◽  
Heat Transfer Effects

The influences of Hall currents and heat transfer on peristaltic transport of a Newtonian fluid in a vertical asymmetric channel through a porous medium are investigated theoretically and graphically under assumptions of low Reynolds number and long wavelength. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Analytical solutions have been obtained for temperature, axial velocity, stream function, pressure gradient, and shear stresses. The trapping phenomenon is discussed. Graphical results are sketched for various embedded parameters and interpreted.

scholarly journals Hypothetical analysis for peristaltic transport of metallic nanoparticles in an inclined annulus with variable viscosity

2016 ◽  
Vol 64 (2) ◽  
pp. 447-454 ◽  
Author(s):  
S. Nadeem ◽  
H. Sadaf
Keyword(s):  
Metallic Nanoparticles ◽  
Base Fluid ◽  
Variable Viscosity ◽  
Peristaltic Transport ◽  
Two Dimensional ◽  
Peristaltic Motion ◽  
Sinusoidal Wave ◽  
Governing Equations ◽  
Long Wavelength ◽  
Two Dimensional Flow

Abstract The main objective of this article is to present a mathematical model for peristaltic transport in an inclined annulus. In this analysis, two-dimensional flow of a viscous nanofluid is observed in an inclined annulus with variable viscosity. Copper as nanoparticle with blood as its base fluid has been considered. The inner tube is unifom or rigid, while the outer tube takes a sinusoidal wave. Governing equations are solved under the well-known assumptions of low Reynolds number and long-wavelength. Exact solutions have been established for both velocity and nanoparticle temperature. The features of the peristaltic motion are explored by plotting graphs and discussed in detail

Heat Transfer Analysis on the Peristaltic Motion with Slip Effects

2010 ◽  
Vol 65 (8-9) ◽  
pp. 697-704 ◽  
Author(s):  
Tasawar Hayat ◽  
Zaheer Asghar
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Shear Stress ◽  
Variable Viscosity ◽  
Heat Transfer Analysis ◽  
Combined Effects ◽  
Small Reynolds Number ◽  
Peristaltic Motion ◽  
Long Wavelength ◽  
Slip Effects

The purpose of this paper is to highlight the combined effects of heat transfer and slip characteristics of magnetohydrodynamic (MHD) fluid with variable viscosity in a channel. The slip condition is imposed in terms of shear stress. An analysis is performed to derive the perturbation solution for long wavelength and small Reynolds number assumptions. Expressions of stream function, temperature and heat transfer coefficient are constructed and discussed

scholarly journals Combined Effects of Hall Current and Heat Transfer on Peristaltic Transport of a Nanofluid in a Vertical Tapered Channel Through a Porous Medium

2016 ◽  
Vol 21 (2) ◽  
pp. 107
Author(s):  
Ahmed I. Abdellateef ◽  
Syed Z. Ul Haque
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Porous Medium ◽  
Analytical Solutions ◽  
Hall Current ◽  
Frame Of Reference ◽  
Peristaltic Transport ◽  
Combined Effects ◽  
Long Wavelength ◽  
Tapered Channel

The influences of Hall currents and heat transfer on peristaltic transport of a nanofluid in a vertical porous tapered channel through a porous medium are investigated theoretically and graphically under the assumptions of low Reynolds number and long wavelength and the flow investigated is in a wavy frame of reference. Analytical solutions are obtained for temperature, axial velocity, stream function and pressure gradient. Graphical results are sketched for various embedded parameters.  

Flow along a diverging channel

1997 ◽  
Vol 336 ◽  
pp. 183-202 ◽  
Author(s):  
S. C. R. DENNIS ◽  
W. H. H. BANKS ◽  
P. G. DRAZIN ◽  
M. B. ZATURSKA
Keyword(s):  
Reynolds Number ◽  
Incompressible Fluid ◽  
Laboratory Experiment ◽  
Steady Flow ◽  
Viscous Incompressible Fluid ◽  
Two Dimensional ◽  
End Effects ◽  
Spatial Instability ◽  
Spatial Modes ◽  
Diverging Channel

This paper treats the two-dimensional steady flow of a viscous incompressible fluid driven through a channel bounded by two walls which are the radii of a sector and two arcs (the ‘inlet’ and ‘outlet’), with the same centre as the sector, at which inflow and outflow conditions are imposed. The computed flows are related to both a laboratory experiment and recent calculations of the linearized ‘spatial’ modes of Jeffery–Hamel flows. The computations, at a few values of the angle between the walls of the sector and several values of the Reynolds number, show how the first bifurcation of the flow in a channel is related to spatial instability. They also show how the end effects due to conditions at the inlet and outlet of the channel are related to the spatial modes: in particular, Saint-Venant's principle breaks down when the flow is spatially unstable, there being a temporally stable steady flow for which small changes at the inlet or outlet create substantial effects all along the channel. The choice of a sector as the shape of the channel is to permit the exploitation of knowledge of the spatial modes of Jeffery–Hamel flows, although we regard the sector as an example of channels with walls of moderate curvature.

Numerical Study on Heat Transfer Characteristics From Parallel Plates With Cavities Swept by a Visco-Elastic Fluid

2010 ◽  
Author(s):  
Hiroshi Suzuki ◽  
Shinpei Maeda ◽  
Yoshiyuki Komoda
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Thermal Field ◽  
Numerical Study ◽  
Geometric Parameters ◽  
Two Dimensional ◽  
Parallel Plates ◽  
Heat Transfer Characteristics ◽  
Elastic Fluid ◽  
Heat Transfer Augmentation

Two-dimensional numerical computations have been performed in order to investigate the development characteristics of flow and thermal field in a flow between parallel plates swept by a visco-elastic fluid. In the present study, the effect of the cavity number in the domain and of Reynolds number was focused on when the geometric parameters were set constant. From the results, it is found that the flow penetration into the cavities effectively causes the heat transfer augmentation in the cavities in any cavity region compared with that of water case. It is also found that the development of thermal field in cases of the present visco-elastic fluid is quicker compared with that of water cases. The present heat transfer augmentation technique using Barus effect of a visco-elastic fluid is effective in the range of low Reynolds number.

scholarly journals Peristaltic transport of Johnson–Segalman fluid in a curved channel with compliant walls

2012 ◽  
Vol 17 (3) ◽  
pp. 297-311 ◽  
Author(s):  
Sadia Hina ◽  
Tasawar Hayat ◽  
Saleem Asghar
Keyword(s):  
Reynolds Number ◽  
Mathematical Analysis ◽  
Channel Wall ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Peristaltic Transport ◽  
Curved Channel ◽  
Long Wavelength ◽  
Channel Effects ◽  
Compliant Walls

The present investigation deals with the peristaltic flow of an incompressible Johnson–Segalman fluid in a curved channel. Effects of the channel wall properties are taken into account. The associated equations for peristaltic flow in a curved channel are modeled. Mathematical analysis is simplified under long wavelength and low Reynolds number assumptions. The solution expressions are established for small Weissenberg number. Effects of several embedded parameters on the flow quantities are discussed.

scholarly journals Theoretical Study of Heat Transfer on Peristaltic Transport of Non-Newtonian Fluid Flowing in a Channel: Rabinowitsch Fluid Model

2018 ◽  
Vol 3 (4) ◽  
pp. 450-471 ◽  
Author(s):  
U. P. Singh ◽  
Amit Medhavi ◽  
R. S. Gupta ◽  
Siddharth Shankar Bhatt
Keyword(s):  
Heat Transfer ◽  
Pressure Gradient ◽  
Friction Force ◽  
Newtonian Fluid ◽  
Theoretical Study ◽  
Fluid Model ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Long Wavelength ◽  
Velocity Pressure

The present investigation is concerned with the problem of heat transfer and peristaltic flow of non-Newtonian fluid using Rabinowitsch fluid model through a channel under long wavelength and low Reynolds number approximation. Expressions for velocity, pressure gradient, pressure rise, friction force and temperature have been obtained. The effect of different parameters on velocity, pressure gradient, pressure rise, streamlines, friction force and temperature have been discussed through graphs.

Unsteady Peristaltic Pumping in a Finite Length Tube With Permeable Wall

2010 ◽  
Vol 132 (10) ◽  
Author(s):  
Y. V. K. Ravi Kumar ◽  
S. V. H. N. Krishna Kumari.P ◽  
M. V. Ramana Murthy ◽  
S. Sreenadh
Keyword(s):  
Reynolds Number ◽  
Boundary Conditions ◽  
Incompressible Fluid ◽  
Finite Length ◽  
Pressure Profile ◽  
Peristaltic Transport ◽  
Permeable Wall ◽  
Sinusoidal Wave ◽  
Peristaltic Pumping ◽  
Wall Permeability

Peristaltic transport due to a sinusoidal wave traveling on the boundary of a tube filled with an incompressible fluid is presented. Solution is obtained under infinite wavelength and zero Reynolds number in a finite length tube which extends the study of Li and Brasseur (1993, “Non-Steady Peristaltic Transport in Finite-Length Tubes,” J. Fluid Mech., 248, pp. 129–151). Boundary conditions are changed to include wall permeability. Analysis of pressure profile is described.

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