INTERACTION OF PULSATILE FLOW WITH PERISTALTIC TRANSPORT OF A VISCOELASTIC FLUID: CASE OF A MAXWELL FLUID

2014 ◽  
Vol 06 (05) ◽  
pp. 1450061 ◽  
Author(s):  
H. RACHID ◽  
M. T. OUAZZANI
Keyword(s):  
Pulsatile Flow ◽  
Pressure Rise ◽  
Cylindrical Tube ◽  
Maxwell Fluid ◽  
Mechanical Efficiency ◽  
Deborah Number ◽  
Peristaltic Transport ◽  
Long Wavelength ◽  
Viscoelastic Effects ◽  
The Impact

This article analytically investigates the interaction of pulsatile flow with peristaltic transport of a viscoelastic Maxwell fluid in a cylindrical tube. The flow is considered unsteady even in the wave frame analysis where we impose a periodic pressure gradient. This transport is studied under low Reynolds number and long wavelength approximations. The governing equations are developed up to the second-order in the Deborah number and the Womersley number. We first analyzed the impact of the pulsatile flow, of the occlusion and of the viscoelastic effects of fluid on the pressure rise and on the friction force. Physical behavior of different parameters of the problem has been graphically presented and the influence of these parameters on the mechanical efficiency has been analyzed.

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.

scholarly journals Effects of Rheological Parameters of a Viscoplastic Fluid on Peristaltic Pumping in a Cylindrical Tube

2019 ◽  
Vol 286 ◽  
pp. 09003
Author(s):  
H. Rachid ◽  
M. Ouazzani Touhami
Keyword(s):  
Fluid Model ◽  
Pressure Rise ◽  
Cylindrical Tube ◽  
Mechanical Efficiency ◽  
Viscoplastic Fluid ◽  
Rheological Parameters ◽  
Rheological Characterization ◽  
Peristaltic Pumping ◽  
Fluid Foods ◽  
Circular Cylindrical Tube

In this paper, we study theoretically the peristaltic transport of a generalized four-parameter plastic fluid in a circular cylindrical tube. The present fluid model is presented for the rheological characterization of inelastic fluid foods. Long wavelength and low Reynolds number approximations are taken into account to get solution. The effects of embedded parameters on pressure rise, frictional force and especially on the mechanical efficiency have been numerically displayed and physically discussed.

APPLICATION OF DRUG DELIVERY IN MAGNETOHYDRODYNAMICS PERISTALTIC BLOOD FLOW OF NANOFLUID IN A NON-UNIFORM CHANNEL

2016 ◽  
Vol 16 (04) ◽  
pp. 1650052 ◽  
Author(s):  
M. ALI ABBAS ◽  
Y. Q. BAI ◽  
M. M. RASHIDI ◽  
M. M. BHATTI
Keyword(s):  
Drug Delivery ◽  
Blood Flow ◽  
Three Dimensional ◽  
Pressure Rise ◽  
Creeping Flow ◽  
Friction Forces ◽  
Grashof Number ◽  
Long Wavelength ◽  
Uniform Channel ◽  
The Impact

In this paper, we have studied the application of drug delivery in magnetohydrodynamics (MHD) peristaltic blood flow of nanofluid in a non-uniform channel. The governing equation of motion and nanoparticles are modeled under the consideration of creeping flow and long wavelength. The resulting non-linear coupled differential equation is solved with the help of perturbation. Numerical Integration has been used to obtain the results for pressure rise and friction forces. The impact of various pertinent parameters on temperature profile, concentration profile such as density Grashof number, thermal Grashof number, Brownian motion parameter, thermophoresis parameter and MHD is demonstrated mathematically and graphically. The present analysis is also applicable for three-dimensional profile.

PERISTALTIC TRANSPORT OF A THIRD-ORDER FLUID IN A CIRCULAR CYLINDRICAL TUBE

2002 ◽  
Vol 12 (12) ◽  
pp. 1691-1706 ◽  
Author(s):  
T. HAYAT ◽  
Y. WANG ◽  
A. M. SIDDIQUI ◽  
K. HUTTER ◽  
S. ASGHAR
Keyword(s):  
Numerical Solutions ◽  
Cylindrical Tube ◽  
Deborah Number ◽  
Peristaltic Transport ◽  
Average Radius ◽  
Third Order ◽  
Living Body ◽  
Analytic Perturbation ◽  
Circular Cylindrical Tube ◽  
Problem Comparison

The effect of a third-order fluid on the peristaltic transport is analysed in a circular cylindrical tube, such as some organs in the living body. The third-order flow of an incompressible fluid in a circular cylindrical tube, on which an axisymmetric travelling sinusoidal wave is imposed, is considered. The wavelength of the peristaltic waves is assumed to be large compared to the tube average radius, whereas the amplitude of the wave need not be small compared to the average radius. Both analytic (perturbation) and numerical solutions are given. For the perturbation solution, a systematic approach based on an asymptotic expansion of the solution in terms of a small Deborah number is used and solutions up to the first order are presented in closed forms. The numerical solution, valid for any Deborah number, represents a new approach to peristaltic flows, and its features illuminate the physical behaviour much more than the analytical research on this problem. Comparison is made between the analytic (perturbation) and numerical results. Furthermore, the obtained results could also have applications to a range of peristaltic flows for a variety of non-Newtonian fluids such as aqueous solutions of high-molecular weight polyethylene oxide and polyacrylamide.

THE PERISTALTIC TRANSPORT OF CARREAU NANOFLUIDS UNDER EFFECT OF A MAGNETIC FIELD IN A TAPERED ASYMMETRIC CHANNEL: APPLICATION OF THE CANCER THERAPY

2015 ◽  
Vol 15 (03) ◽  
pp. 1550030 ◽  
Author(s):  
M. KOTHANDAPANI ◽  
J. PRAKASH
Keyword(s):  
Magnetic Field ◽  
Hartmann Number ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Asymmetric Channel ◽  
Nanofluid Flow ◽  
Long Wavelength ◽  
Cancer Tissues ◽  
Physical Quantities ◽  
Quantities Of Interest

During the cancer treatment, one of the successful methods is to inject the blood vessels which are closest to the tumor with magnetic nanoparticles along with placing a magnet nearer to the tumor. The dynamics of these nanoparticles may happen under the action of the peristaltic waves generated on the walls of tapered asymmetric channel. Analyzing this type of nanofluid flow under such action may highly be supportive in treating cancer tissues. In this study, a newly described peristaltic transport of Carreau nanofluids under the effect of a magnetic field in the tapered asymmetric channel are analytically investigated. Exact expressions for temperature field, nanoparticle fraction field, axial velocity, stream function, pressure gradient and shear stress are derived under the assumptions of long wavelength and low Reynolds number. Finally, the effects of various emerging parameters on the physical quantities of interest are discussed. It is found that the pressure rise increases with increase in Hartmann Number and thermophoresis parameter.

Effects of Chemical Reaction, Activation Energy and Thermal Energy on Magnetohydrodynamics Maxwell Fluid Flow in Rotating Frame

2021 ◽  
Vol 10 (1) ◽  
pp. 67-74
Author(s):  
Hunegnaw Dessie
Keyword(s):  
Activation Energy ◽  
Differential Equations ◽  
Transfer Rate ◽  
Mass Transfer Rate ◽  
Maxwell Fluid ◽  
Deborah Number ◽  
Heat Radiation ◽  
Rotating Frame ◽  
Rotational Parameter ◽  
The Impact

The purpose of this research is to see how chemical processes, activation energy, and heat radiation affect MHD flow of Maxwell fluid in a rotating frame. Using applicable similarity transformations, the partial differential equations that regulate the flow are reduced to extremely nonlinear ordinary differential equations. Graphs and tables are used to study the impact of monitoring parameters on velocity, temperature, concentration profiles, reduced Nusselt number, reduced Sherwood numbers, and skin friction coefficients. Outstanding agreement is obtained when the present findings of the study is compared with the previous related research works. In the study, it is noted that an increase of the thermal radiation parameters contributes to an increase of the flow temperature region. When a fluid is subjected to a greater rotation parameter, the thermal boundary layer thickens and the heat transfer rate decrease. Moreover, a decline of mass transfer rate is observed for a rise of Prandl number, rotational parameter or Deborah number.

scholarly journals The Influence of a Micropolar Fluid on Peristaltic Transport in an Annulus: Application of the Clot Model

2008 ◽  
Vol 5 (1) ◽  
pp. 13-23 ◽  
Author(s):  
Kh. S. Mekheimer ◽  
Y. Abd Elmaboud
Keyword(s):  
Micropolar Fluid ◽  
Pathological Condition ◽  
Pressure Rise ◽  
Blood Stream ◽  
Peristaltic Transport ◽  
Physical Parameters ◽  
Blood Constituents ◽  
Closed Form Solutions ◽  
Long Wavelength ◽  
Coupling Number

A serious pathological condition is encountered when some blood constituents deposited on the blood vessels get detached from the wall, join the blood stream again and form a clot. Study of the peristaltic transport of a micropolar fluid in an annular region is investigated under low Reynolds number and long wavelength approximations. We model a small artery as a tube having a sinusoidal wave travelling down its wall and a clot model inside it. Closed form solutions are obtained for the velocity and the microrotation components, as well as the stream function, and they contain new additional parameters, namely, δ, the height of the clot,N, the coupling number andm, the micropolar parameter. The pressure rise and friction force on the inner and the outer tubes have been discussed for various values of the physical parameters of interest.

scholarly journals Effect of Rotation and Magnetic Field through Porous Medium on Peristaltic Transport of a Jeffrey Fluid in Tube

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
S. R. Mahmoud
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Analytic Solution ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Jeffrey Fluid ◽  
Axial Pressure ◽  
Long Wavelength ◽  
Electrically Conducting ◽  
Axial Pressure Gradient

This paper is concerned with the analysis of peristaltic motion of a Jeffrey fluid in a tube with sinusoidal wave travelling down its wall. The effect of rotation, porous medium, and magnetic field on peristaltic transport of a Jeffrey fluid in tube is studied. The fluid is electrically conducting in the presence of rotation and a uniform magnetic field. An analytic solution is carried out for long wavelength, axial pressure gradient, and low Reynolds number considerations. The results for pressure rise and frictional force per wavelength were obtained, evaluated numerically, and discussed briefly.

Peristaltic transport of a Jeffrey fluid with double-diffusive convection in nanofluids in the presence of inclined magnetic field

2018 ◽  
Vol 15 (11) ◽  
pp. 1850181 ◽  
Author(s):  
Safia Akram ◽  
M. Zafar ◽  
S. Nadeem
Keyword(s):  
Fluid Model ◽  
Concentration Field ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Jeffrey Fluid ◽  
Double Diffusive Convection ◽  
Long Wavelength ◽  
Diffusive Convection ◽  
Stream Functions ◽  
Double Diffusive

In this paper, the effects of peristaltic transport with double-diffusive convection in nanofluids through an asymmetric channel with different waveforms is presented. Mathematical modeling for two-dimensional and two-directional flows of a Jeffery fluid model along with double-diffusive convection in nanofluids are given. Exact solutions are obtained for nanoparticle fraction field, concentration field, temperature field, stream functions, pressure gradient and pressure rise in terms of axial and transverse coordinates under the restrictions of long wavelength and low Reynolds number. With the help of computational and graphical results, the effects of Brownian motion, thermospheres, Dufour, Soret and Grashof numbers (thermal, concentration, nanoparticles) on peristaltic flow patterns with double-diffusive convection are discussed.

scholarly journals A Mathematical Model for Peristaltic Transport of Micro-Polar Fluids

2011 ◽  
Vol 8 (3-4) ◽  
pp. 279-293 ◽  
Author(s):  
S. K. Pandey ◽  
Dharmendra Tripathi
Keyword(s):  
Mathematical Model ◽  
Cylindrical Tube ◽  
Mechanical Efficiency ◽  
Peristaltic Transport ◽  
Tube Length ◽  
Polar Fluid ◽  
Significant Difference ◽  
Wave Trains ◽  
Circular Cylindrical Tube ◽  
Coupling Number

A mathematical model has been constructed for peristaltic transport of micro-polar fluid in a circular cylindrical tube of finite length by letting sinusoidal waves propagate along the wall that induce contraction and relaxation but not expansion beyond the natural boundary. Axial and radial velocities and micro-rotation components are formulated for micro-polar fluid transportations by applying the method of long wavelength and low Reynolds number approximations in the analysis. Pressure distribution along the tube length is studied to investigate temporal effects. An in-depth study has been done to learn the effects of coupling number and micro-polar parameter. The effects of coupling number and micro-polar parameter are investigated also on mechanical efficiency, reflux and trapping. A significant difference observed is that unlike integral wave-trains propagating along the tube walls that have identical peaks of pressure, non-integral wave-trains have peaks of different sizes.

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