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An alytical and numerical study of peristaltic transport of a Johnson-Segalman fluid in an endoscope 下载免费PDF全文
In the present study, we discuss the peristaltic flow of a Johnson-Segalman fluid in an endoscope. Perturbation, homotopy, and numerical solutions are found for the non-linear differential equation. The comparative study is also made to check the validity of the solutions. The expressions for pressure rise frictional forces, pressure gradient, and stream lines are presented to interpret the behavior of various physical quantities of the Johnson-Segalman fluid. 相似文献
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The current study focuses on the numerical investigation of the mixed convective peristaltic mechanism through a vertical tube for non-zero Reynolds and wave number. In the set of constitutional equations, energy equation contains the term representing heat generation parameter. The problem is formulated by dropping the assumption of lubrication theory that turns the model mathematically into a system of the nonlinear partial differential equations. The results of the long wavelength in a creeping flow are deduced from the present analysis. Thus, the current study explores the neglected features of peristaltic heat flow in the mixed convective model by considering moderate values of Reynolds and wave numbers. The finite element based on Galerkin's weighted residual scheme is applied to solve the governing equations. The computed solution is presented in the form of contours of streamlines and isothermal lines, velocity and temperature profiles for variation of different involved parameters. The investigation shows that the strength of circulation for stream function increases by increasing the wave number and Reynolds number. Symmetric isotherms are reported for small values of time-mean flow. Linear behavior of pressure is noticed by vanishing inertial forces while the increase in pressure is observed by amplifying the Reynolds number. 相似文献
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Erratum to “Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a microchannel” 下载免费PDF全文
We would like to acknowledge the misprinted terms in our published paper “Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a microchannel” [Chin. Phys. B 22 124702 (2013)]. Since only two misprints exist and the main results of the published paper are correct, we present the correct equations in this erratum. 相似文献
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This paper is an analysis of the peristaltic flow of an Oldroyd‐B fluid in a channel with compliant walls. The flow is induced by the sinusoidal waves on the channel walls. A series solution of the resulting boundary value problem is derived under small amplitude assumption. Emphasis is placed on determining the effects of various interesting flow parameters. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
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T. Hayat M. Javed S. Asghar 《Numerical Methods for Partial Differential Equations》2011,27(5):1003-1015
Taking slip condition into account the magnetohydrodynamic peristaltic flow in an asymmetric channel is theoretically analyzed. The analytic solutions for stream function, longitudinal pressure gradient, and temperature have been found in closed form by employing long wavelength and low Reynolds number approximations. A discussion for pressure rise and frictional forces is provided through numerical integration. Finally, the effects of various key parameters are discussed with the help of graphs and tables. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1003–1015, 2011 相似文献
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In the present analysis, the influence of heat and mass transfer on the peristaltic flow of a hyperbolic tangent fluid in an asymmetric channel has been discussed. The highly nonlinear equations are simplified under lubrication approach. The perturbation and numerical solutions of the problem are not only discussed but the validity of the results is also being checked. The graphical results of the problem under discussion are also being brought under consideration to see the behavior of various physical parameters. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
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Mohamed H. Haroun 《Journal of Applied Mechanics and Technical Physics》2005,46(6):842-850
The influence of relaxation and retardation time on peristaltic transport of an incompressible Oldroydian viscoelastic fluid
by means of an infinite train of sinusoidal waves traveling along the walls of a two-dimensional flexible channel is investigated.
A perturbation solution is obtained for the case in which the amplitude ratio (wave amplitude to channel half-width) is small.
The results show that the values of the mean axial velocity of an Oldroydian viscoelastic fluid is smaller than that for a
Newtonian fluid. The reflux phenomena are discussed. It is found that the critical reflux pressure gradient decreases with
increasing retardation time and increases with increasing relaxation time. Numerical results are reported for different values
of the physical parameters of interest.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 6, pp. 86–95, November–December, 2005. 相似文献