scholarly journals Influence of Variable Viscosity on Peristaltic Motion of a Viscoelastic Fluid in a Tapered Microfluidic Vessel

2018 ◽  
Vol 7 (4.10) ◽  
pp. 49 ◽  
Author(s):  
J. Prakash ◽  
E. P.Siva ◽  
A. Govindarajan ◽  
M. Vidhya
Keyword(s):  
Viscoelastic Fluid ◽  
Axial Velocity ◽  
Variable Viscosity ◽  
Fluid Dynamic ◽  
Wave Train ◽  
Flow Analysis ◽  
Pressure Rise ◽  
Average Pressure ◽  
Peristaltic Motion ◽  
Long Wavelength

The peristaltic flow of a viscoelastic fluid in the tapered microchannel with variable viscosity is investigated. This study is reinvigorated by discovering fluid dynamic in peristaltic motion as signified by biological flows, pharmacodynamics and gastro-intestinal motility enhancement. The microchannel non-uniform and asymmetry is developed by choosing a peristaltic wave train on the wall with different amplitudes and phases. The flow analysis has been arisen for low Reynolds number and long wavelength case. The solutions for stream function, axial velocity and pressure gradient are obtained. The effects of pertinent parameters on the average pressure rise per wavelength are investigated by means of numerical integration. The axial velocity and phenomena of trapping are further discussed.  

Natural Convective Flow Analysis For Nanofluids With Reynold,s Model of Viscosity

2016 ◽  
Vol 14 (5) ◽  
pp. 1101-1111 ◽  
Author(s):  
Noreen Sher Akbar ◽  
Liaqat Ali Khan ◽  
Zafar Hayat Khan
Keyword(s):  
Variable Viscosity ◽  
Flow Analysis ◽  
Concentration Field ◽  
Pressure Rise ◽  
Field Trapping ◽  
Fluid Viscosity ◽  
Long Wavelength ◽  
Stream Functions ◽  
Fundamental Equations ◽  
S Model

Abstract In this article, we have considered an incompressible nanofluids flow and studied the effects of variable viscosity in the form of a well-known Reynold’s model of viscosity in an asymmetric channel. The fluid viscosity is assumed to vary as an exponential function of temperature. The governing fundamental equations are approximated under the assumption of long wavelength and low Reynold,s number. The governing momentum and energy and nanoparticle equations are solved using shooting technique to obtain the expressions for stream functions, pressure rise temperature and nanoparticle concentration field. Trapping phenomena are also discussed at the end of the article to see the behaviour of different parameters on streamlines. It is analyzed that the pressure rise and amount of flow rate are charitable conflicting consequences. It is analyzed that the temperature profile increases with the increase in Prandtl parameter Pr, the Brownian motion parameter ${N_b}$ and the thermophoresis parameter ${N_t}$ .

Peristaltic Flow of a Jeffery Fluid with Heat Transfer in an Inclined Porous Tube under the Influence of Slip and Variable Viscosity

2019 ◽  
Vol 393 ◽  
pp. 16-30 ◽  
Author(s):  
Gudekote Manjunatha ◽  
Hanumesh Vaidya ◽  
Choudhari Rajashekhar ◽  
K.V. Prasad
Keyword(s):  
Heat Transfer ◽  
Frictional Force ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Velocity Slip ◽  
Slip Parameter ◽  
Porous Tube ◽  
Closed Form Solutions ◽  
Long Wavelength ◽  
Frictional Forces

The present paper investigates the role of heat transfer on peristaltic transport of Jeffery liquid in a porous tube. The effect of variable viscosity and slip impacts are taken into account. The closed-form solutions are obtained with the help of long wavelength and small Reynolds number. The results of physiological parameters on velocity, pressure rise, frictional force, trapped bolus, and temperature are plotted graphically. It is seen that the pressure rise and the frictional forces decline with an expansion in the viscosity parameter. The study further demonstrates that an increase in the value of the slip parameter significantly alters the pressure rise, frictional force, and temperature. Moreover, the volume of trapped bolus increases with an increase in the value of the velocity slip parameter.

Long Wavelength Flow Analysis in a Curved Channel

2010 ◽  
Vol 65 (3) ◽  
pp. 191-196 ◽  
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.

scholarly journals Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction

2013 ◽  
Vol 10 (1) ◽  
pp. 41-58 ◽  
Author(s):  
T. Hayat ◽  
Humaira Yasmin ◽  
S. Asghar ◽  
Awatif A. Hendi
Keyword(s):  
Mass Transfer ◽  
Chemical Reaction ◽  
Wave Train ◽  
Longitudinal Velocity ◽  
Pressure Rise ◽  
Asymmetric Channel ◽  
Long Wavelength ◽  
Slip Effects ◽  
Inclined Asymmetric Channel ◽  
Pumping And Trapping

An analysis is carried out for the peristaltic flow in an inclined asymmetric channel when no-slip condition does not hold. The whole analysis has been carried out in the presence of mass transfer and chemical reaction. The channel asymmetry is generated because of peristaltic wave train on the walls through different amplitudes and phases. Long wavelength and low Reynolds number assumption is adopted in the whole mathematical analysis. Expressions for the stream function and longitudinal pressure gradient have been developed. Numerical integration is performed for the analysis of pressure rise per wavelength. Longitudinal velocity, pumping and trapping phenomena are analyzed in detail via plots.

scholarly journals Modeling of Nonlinear Variable Viscosity on Peristaltic Transport of Fluid with Slip Boundary Conditions: Application to Bile Flow in Duct

2021 ◽  
Vol 13 (3) ◽  
pp. 821-832
Author(s):  
S. Kumari ◽  
T. K. Rawat ◽  
S. P. Singh
Keyword(s):  
Boundary Conditions ◽  
Pressure Gradient ◽  
Axial Velocity ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Slip Boundary Conditions ◽  
Nonlinear Variation ◽  
Slip Boundary ◽  
Velocity Pressure

The present article deals with variable viscosity on the peristaltic transport of bile in an inclined duct under the action of slip boundary conditions. The wall geometry is described by the sinusoidal wave propagating in the axial direction with different amplitude and with constant speed. The flow of fluid is examined in a wave frame of reference, moving with the velocity of the wave.  Mathematical modeling of the problem includes equations of motion and continuity. The fluid flow is investigated by converting the equations into a non-dimensionalized form simplified considering long wavelength and low Reynolds number approximation. The analytic expressions for axial velocity, pressure gradient, and pressure rise over a single wavelength cycle are obtained. The impact of various parameters such as slip parameter, viscosity parameter, angle of inclination, gravity parameter and amplitude ratio on axial velocity, pressure gradient and pressure rise are discussed in detail by plotting graphs in MATLAB R2018b software. In this article, a comparison of linear and nonlinear variation of viscosity of bile has been made. It is concluded that velocity and pressure rise is more in case linear variation of viscosity, whereas more pressure gradient is required in case of nonlinear variation of viscosity.

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

scholarly journals Peristaltic transport of a fractional Burgers’ fluid with variable viscosity through an inclined tube

Open Physics ◽  
2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Hassan Rachid
Keyword(s):  
Reynolds Number ◽  
Radial Direction ◽  
Amplitude Ratio ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Mechanical Efficiency ◽  
Peristaltic Transport ◽  
Long Wavelength ◽  
Inclined Tube ◽  
Burgers Fluid

AbstractIn the present study,we investigate the unsteady peristaltic transport of a viscoelastic fluid with fractional Burgers’ model in an inclined tube. We suppose that the viscosity is variable in the radial direction. This analysis has been carried out under low Reynolds number and long-wavelength approximations. An analytical solution to the problem is obtained using a fractional calculus approach. Figures are plotted to show the effects of angle of inclination, Reynolds number, Froude number, material constants, fractional parameters, parameter of viscosity and amplitude ratio on the pressure gradient, pressure rise, friction force, axial velocity and on the mechanical efficiency.

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

Unsteady Flow of Magneto Thermomicropolar Fluid in a Porous Channel With Peristalsis: Unsteady Separation

2013 ◽  
Vol 135 (7) ◽  
Author(s):  
Y. Abd Elmaboud
Keyword(s):  
Unsteady Flow ◽  
Amplitude Ratio ◽  
Flow Behavior ◽  
Fluid Velocity ◽  
Flow Analysis ◽  
Pressure Rise ◽  
Closed Form Solutions ◽  
Long Wavelength ◽  
Unsteady Separation ◽  
Raphson Method

The magneto thermodynamic aspects of micropolar fluid (blood model) through an isotropic porous medium in a nonuniform channel with rhythmically contracting walls have been investigated. The flow analysis has been discussed under long wavelength and low Reynolds number approximations. The closed form solutions are obtained for velocity components, microrotation, heat transfer, as well as the wall vorticity. The modified Newton–Raphson method is used to predict the unsteady flow separation points along the peristaltic wall. Numerical computations have been carried out for the pressure rise per wavelength. The study shows that peristaltic transport, fluid velocity, microrotation velocity, and wall shear stress are significantly affected by the nonuniform geometry of the blood vessels. Moreover, the amplitude ratio, the coupling number, the micropolar parameter, and the magnetic parameter are important parameters that affect the flow behavior.

Effects of Variable Viscosity on the Peristaltic Motion in a Third-Order Fluid

2010 ◽  
Vol 65 (11) ◽  
pp. 901-918 ◽  
Author(s):  
Sohail Nadeem ◽  
Noreen Sher Akbar ◽  
Tasawar Hayat
Keyword(s):  
Numerical Solutions ◽  
Variable Viscosity ◽  
Pressure Rise ◽  
Peristaltic Motion ◽  
Third Order ◽  
Viscosity Effects ◽  
Homotopy Analysis ◽  
Different Temperatures ◽  
Frictional Forces ◽  
Energy Equations

This article deals with the variable viscosity effects on the channel flow of a third-order fluid. The walls of the asymmetric channel are of different temperatures. Continuity, momentum, and energy equations are utilized in the mathematical analysis. Three types of solutions, namely, the perturbation, homotopy analysis, and numerical are derived. These solutions are compared. The perturbation, homtopy analysis, and numerical solutions are identical up to three digits. The expressions for pressure rise and frictional forces have been calculated using numerical integration. The expressions for pressure rise, frictional forces, velocity profile, temperature profile, pressure gradient, and streamlines have been discussed graphically at the end of the article.

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