Effect of Lateral Walls on Peristaltic Flow through an Asymmetric Rectangular Duct

Peristaltic transport of an incompressible viscous fluid due to an asymmetric waves propagating on the horizontal sidewalls of a rectangular duct is studied under long-wavelength and low-Reynolds number assumptions. The peristaltic wave train on the walls have different amplitudes and phase. The flow is investigated in a wave frame of reference moving with velocity of the wave. The effect of aspect ratio, phase difference, varying channel width and wave amplitudes on the pumping characteristics and trapping phenomena are discussed in detail. The results are compared to with those corresponding to Poiseuille flow.

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Influence of Lateral Walls on Peristaltic Flow in a Rectangular Duct

Journal of Fluids Engineering ◽

10.1115/1.1994876 ◽

2005 ◽

Vol 127 (4) ◽

pp. 824-827 ◽

Cited By ~ 36

Author(s):

M. V. Subba Reddy ◽

Manoranjan Mishra ◽

S. Sreenadh ◽

A. Ramachandra Rao

Keyword(s):

Reynolds Number ◽

Aspect Ratio ◽

Viscous Fluid ◽

Poiseuille Flow ◽

Low Reynolds Number ◽

Peristaltic Flow ◽

Rectangular Duct ◽

Long Wavelength ◽

Low Reynolds ◽

Lateral Walls

The flow of a viscous fluid due to symmetric peristaltic waves propagating on the horizontal sidewalls of a rectangular duct is studied under the assumptions of long wavelength and low Reynolds number. The effect of aspect ratio β, ratio of height to width, on the pumping characteristics is discussed in detail. The results are compared to with those corresponding to Poiseuille flow.

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Long Wavelength Flow Analysis in a Curved Channel

Zeitschrift für Naturforschung A ◽

10.1515/zna-2010-0306 ◽

2010 ◽

Vol 65 (3) ◽

pp. 191-196 ◽

Cited By ~ 62

Author(s):

Nasir Ali ◽

Muhammad Sajid ◽

Tasawar Hayat

Keyword(s):

Reynolds Number ◽

Viscous Fluid ◽

Pressure Gradient ◽

Axial Velocity ◽

Flow Analysis ◽

Peristaltic Flow ◽

Curved Channel ◽

Closed Form Solutions ◽

Long Wavelength ◽

Quantities Of Interest

This study is concerned with the peristaltic flow of a viscous fluid in a curved channel. Mathematically the problem is governed by two partial differential equations. Closed form solutions of the stream function, axial velocity, and pressure gradient are developed under long wavelength and low Reynolds number assumptions. The influence of curvature is analyzed on various flow quantities of interest.

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A note on the influence of heat and mass transfer on a peristaltic flow of a viscous fluid in a vertical asymmetric channel with wall slip

Chemical Industry and Chemical Engineering Quarterly ◽

10.2298/ciceq111213028s ◽

2012 ◽

Vol 18 (3) ◽

pp. 483-493 ◽

Cited By ~ 16

Author(s):

S. Srinivas ◽

R. Muthuraj ◽

J. Sakina

Keyword(s):

Mass Transfer ◽

Viscous Fluid ◽

Heat And Mass Transfer ◽

Wave Train ◽

Perturbation Technique ◽

Wall Slip ◽

Peristaltic Flow ◽

Long Wavelength ◽

Wavelength Approximation ◽

Energy Equations

This note deals with the influence of heat and mass transfer on peristaltic flow of an viscous fluid with wall slip condition. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitude and phase. The momentum and energy equations have been linearized under the assumption of long-wavelength approximation. The arising equations are solved by perturbation technique and the expressions for Temperature, Concentration, Velocity and Stream function are constructed. Graphical results are sketched for various embedded parameters and discussed in detail.

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

Nonlinear Analysis Modelling and Control ◽

10.15388/na.17.3.14057 ◽

2012 ◽

Vol 17 (3) ◽

pp. 297-311 ◽

Cited By ~ 6

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.

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Experimental Investigation of Pressure Drop Characteristics of Viscous Fluid Flow Through Small Diameter Orifices

Journal of Fluids Engineering ◽

10.1115/1.4048617 ◽

2020 ◽

Vol 143 (2) ◽

Author(s):

Lalit Kumar Bohra ◽

Leo M. Mincks ◽

Srinivas Garimella

Keyword(s):

Reynolds Number ◽

Aspect Ratio ◽

Viscous Fluid ◽

Euler Number ◽

Small Diameter ◽

Reynolds Numbers ◽

Diameter Ratio ◽

Operating Conditions ◽

Turbulent Regime ◽

Pressure Drops

Abstract An experimental study on the flow of a highly viscous fluid through small diameter orifices was conducted. Pressure drops were measured for each of nine orifices, including orifices of nominal diameter 0.5, 1, and 3 mm and three different orifice thicknesses, over wide ranges of flow rates and temperatures. The fluid under consideration exhibits steep dependence of the properties (changes of several orders of magnitude) as a function of temperature and pressure and is also non-Newtonian at the lower temperatures. At small values of Reynolds number, an increase in aspect ratio (length/diameter ratio of the orifice) causes an increase in Euler number. It was also found that at extremely low Reynolds numbers, the Euler number was very strongly influenced by the Reynolds number, while the dependence becomes weaker as the Reynolds number increases toward the turbulent regime, and the Euler number tends to assume a constant value determined by the aspect ratio and the diameter ratio. A two-region (based on Reynolds number) model was developed to predict Euler number as a function of diameter ratio, aspect ratio, viscosity ratio, and generalized Reynolds number. It is shown that for such a highly viscous fluid with some non-Newtonian behavior, accounting for the shear rate through the generalized Reynolds number results in a considerable improvement in the predictive capabilities of the model. Over the laminar, transition, and turbulent regions, the model predicts 86% of the data within ±25% for the geometry and operating conditions investigated in this study.

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Effects of Heat and Mass Transfer on Peristaltic Flow of Carreau Fluid in a Vertical Annulus

Zeitschrift für Naturforschung A ◽

10.1515/zna-2010-1004 ◽

2010 ◽

Vol 65 (10) ◽

pp. 781-792 ◽

Cited By ~ 13

Author(s):

Sohail Nadeem ◽

Noreen Sher Akbar

Keyword(s):

Mass Transfer ◽

Velocity Field ◽

Shooting Method ◽

Numerical Solutions ◽

Concentration Field ◽

Peristaltic Flow ◽

Frame Of Reference ◽

Carreau Fluid ◽

Long Wavelength ◽

Vertical Annulus

This article is devoted to the study of peristaltic transport of a Carreau fluid in a vertical annulus under the consideration of long wavelength. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Exact solutions have been evaluated for temperature and concentration field, while approximated analytical and numerical solutions are found for the velocity field using (i) the perturbation method and (ii) the shooting method. The effects of various emerging parameters are investigated graphically.

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Effect of heat and mass transfer and rotation on peristaltic flow through a porous medium with compliant walls

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-12-2013-0080 ◽

2014 ◽

Vol 10 (3) ◽

pp. 399-415 ◽

Cited By ~ 3

Author(s):

A.M. Abd-Alla ◽

S.M. Abo-Dahab ◽

A. Kilicman ◽

R.D. El-Semiry

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Concentration Field ◽

Peristaltic Flow ◽

Content Type ◽

Long Wavelength ◽

Compliant Walls ◽

Field Velocity ◽

Flow Through ◽

Effects Of Rotation

Purpose – The purpose of this paper is to investigate the peristaltic flow of an incompressible Newtonian fluid in a channel with compliant walls. The effects of rotation and heat and mass transfer are also taken into account. The governing equations of two dimensional fluid have been simplified under long wavelength and low Reynolds number approximation. An exact solutions is presented for the stream function, temperature, concentration field, velocity and heat transfer coefficient. Design/methodology/approach – The effect of the concentration distribution, heat and mass transfer and rotation on the wave frame are analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. Comparison was made with the results obtained in the presence and absence of rotation and heat and mass transfer. Findings – The results indicate that the effect of the permeability and rotation are very pronounced in the phenomena. Originality/value – The objective of the present analysis is to analyze the effects of rotation, heat and mass transfer and compliant walls on the peristaltic flow of a viscous fluid.

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PERISTALTIC TRANSPORT OF A JEFFREY FLUID UNDER THE EFFECT OF SLIP IN AN INCLINED ASYMMETRIC CHANNEL

International Journal of Applied Mechanics ◽

10.1142/s1758825110000573 ◽

2010 ◽

Vol 02 (02) ◽

pp. 437-455 ◽

Cited By ~ 19

Author(s):

S. SRINIVAS ◽

R. MUTHURAJ

Keyword(s):

Reynolds Number ◽

Channel Wall ◽

Analytic Solution ◽

Peristaltic Flow ◽

Jeffrey Fluid ◽

Asymmetric Channel ◽

Long Wavelength ◽

Electrically Conducting ◽

Inclined Asymmetric Channel ◽

Pumping And Trapping

Peristaltic flow of a Jeffrey fluid in an inclined asymmetric channel is undertaken when the no-slip condition at the channel wall is no longer valid. The considered fluid is incompressible and electrically conducting. The flow is investigated in a waveframe of reference moving with the velocity of the wave. The analytic solution has been derived for the stream function under long wavelength and low Reynolds number assumptions. The effect of slip and non-Newtonian parameter on the axial velocity and shear stress are discussed in detail. The salient features of pumping and trapping are discussed with particular focus on the effect of slip and non-Newtonian parameters.

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