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Journal ArticleDOI

Dual solutions of cross diffusion effects on MHD Peristaltic flow in a conduit

01 Nov 2017-Vol. 263, Iss: 6, pp 062024
About: The article was published on 2017-11-01 and is currently open access. It has received 5 citations till now.
Citations
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Journal ArticleDOI
01 Mar 2018
TL;DR: In this paper, the effects of the physical parameters on the flow characteristics are presented through graphs for both slip and no-slip cases, and the performance of the temperature is studied with and without Joule heating effects.
Abstract: The present study deals with simultaneous effects of Joule heating and slip on peristaltic flow of a Bingham fluid in an inclined tapered porous channel with elastic walls. The closed form solutions for the stream function, the velocity and the temperature fields are obtained. The effects of the physical parameters on the flow characteristics are presented through graphs for both slip and no-slip cases. In addition, the performance of the temperature is studied with and without Joule heating effects. Moreover, the trapping phenomenon is analysed. The size of the trapped bolus increases with increasing values of the slip parameter and decreasing values of the magnetic, the permeability and the yield stress parameters. The present results are compared with the available results in the literature and our results agree well with the available results for some special cases.

35 citations

Journal ArticleDOI
01 Jul 2022-PLOS ONE
TL;DR: In this article , the effect of different physical characteristics on liquid impedance to flowing, velocity, and surface shearing stress are studied under the influence of a constant incompressible Casson liquid flowing with the magnetism field.
Abstract: Arterial stenosis is a common cardiovascular disease that restricts blood flow. A stenotic blood vessel creates tangent stress pressure, which lessens the arterial side and causes an aneurysm. The primary purpose of this study is to investigate blood flowing via an inclination pipe with stricture and expansion after stricture (widening) underneath the influence of a constant incompressible Casson liquid flowing with the magnetism field. The relations for surface shearing stress, pressure drop, flow resistance, and velocity are calculated analytically by applying a mild stenosis approximation. The effect of different physical characteristics on liquid impedance to flowing, velocity, and surface shearing stress are studied. With a non-Newtonian aspect of the Casson liquid, the surface shearing stress declines, and an impedance upturn. Side resistivity and shear-stress increase with the elevations of stricture, whilst together decreasing with a dilatation height.

15 citations

Journal ArticleDOI
TL;DR: In this paper, the impact of thermophoresis and Brownian moment on MHD two-dimensional forced convection flow of nanofluid past a permeable stretching sheet in the presence of thermal diffusion is reported.
Abstract: Purpose The purpose of this paper is to report the impact of thermophoresis and Brownian moment on MHD two-dimensional forced convection flow of nanofluid past a permeable stretching sheet in the presence of thermal diffusion. Design/methodology/approach The flow governing PDEs are reduced to ODEs by utilizing pertinent transmutations and then resolved by employing a fourth-order Runge-Kutta-based shooting technique. The energy and diffusion equations are incorporated with Brownian motion, thermophoresis and Soret parameters. The velocity, thermal and concentration attributes along with skin friction factor, local Nusselt and Sherwood number are discussed under the influence of sundry pertinent parameters and presented with the assistance of graphical and tabular values. Findings The results infer that Sherwood number is accelerated by Soret parameter but it controls the thermal transport rate. And also, Brownian and thermophoresis play a vital role in enhancing heat conduction process. Originality/value Considering the industrial applications of flow of magnetic nanofluid over a stretching surface, this paper presents the solution of the flow problem considering thermophoresis, Brownian motion, magnetic field and thermal diffusion effects. In addition, the aim and objectives of this paper fills a gap in the industry.

12 citations

Book ChapterDOI
01 Jan 2019
TL;DR: In this paper, the Soret and Dufour effects on the peristaltic transport of a conducting Casson nanofluid in a flexible channel are studied and the influence of dissipation and Joule heating are also discussed.
Abstract: The Soret and Dufour effects on the peristaltic transport of a conducting Casson nanofluid in a flexible channel are studied. The influence of dissipation and Joule heating are also discussed. The governing equations are simplified by using a long wave length and small Reynolds number approximations. The analytical solutions for stream function and axial velocity are obtained. Moreover, the Runge–Kutte-based shooting method is utilized to solve the coupled energy and concentration equations. The impact of important parameters on the flow is explained using graphs for both Newtonian and Casson fluid cases. It is observed that the Casson fluid has more velocity than the Newtonian fluid in the middle of the channel and the situation is reversed at the channel walls. Further, a higher temperature is noted for Casson fluid than for Newtonian fluid throughout the channel, whereas concentration shows the opposite behavior.

10 citations

Journal ArticleDOI
05 Oct 2020
TL;DR: In this paper, the significance of cross diffusion effect on unsteady MHD peristaltic flow in a porous medium with heat and mass transfer is investigated and the governing partial differential equations are transformed into dimensionless equations by using dimensionless quantities.
Abstract: In this work the significance of Cross Diffusion effect on unsteady MHD peristaltic flow in a porous medium with heat and mass transfer is investigated. The governing partial differential equations are transformed into dimensionless equations by using dimensionless quantities. Stream function, velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are obtained. The results are discussed for various emerging parameters encountered in the problem under investigation. The importance of main parameters on the present study is explained graphically
References
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Journal ArticleDOI
TL;DR: The results for velocity, temperature, stream function and heat transfer coefficient obtained in the analysis have been evaluated numerically and discussed briefly and the numerical result shows that more trapped bolus appears with increasing Knudsen number.

226 citations

Journal ArticleDOI
TL;DR: In this article, the effect of peristaltic wave amplitude on the flow and heat transfer in a vertical porous annular region between two concentric tubes was studied. But the authors focused on the interaction between peristalsis with heat transfer for the flow of a viscous fluid.
Abstract: In this paper, we study the interaction of peristalsis with heat transfer for the flow of a viscous fluid in a vertical porous annular region between two concentric tubes. Long wavelength approximation (that is, the wavelength of the peristaltic wave is large in comparison with the radius of the tube) is used to linearise the governing equations. Using the perturbation method, the solutions are obtained for the velocity and the temperature fields. Also, the closed form expressions are derived for the pressure–flow relationship and the heat transfer at the wall. The effect of pressure drop on flux is observed to be almost negligible for peristaltic waves of large amplitude; however, the mean flux is found to increase by 10–12% as the free convection parameter increases from 1 to 2. Also, the heat transfer at the wall is affected significantly by the amplitude of the peristaltic wave. This warrants further study on the effects of peristalsis on the flow and heat transfer characteristics.

217 citations

Journal ArticleDOI
TL;DR: In this article, a reliability-based analysis of the underground tunnel support system of an underground tunnel in soil is presented, in terms of thrust, moment and shear forces in the lining.
Abstract: Underground openings and excavations are increasingly being used for civilian and strategic purposes all over the world. Recent earthquakes and resulting damage have brought into focus and raised the awareness for aseismic design and construction. In addition, underground tunnels, particularly, have distinct seismic behaviour due to their complete enclosure in soil or rock and their significant length. Therefore, seismic response of tunnel support systems warrant closer attention. The geological settings in which they are placed are often difficult to describe due to limited site investigation data and vast spatial variability. Therefore, the parameters which govern the design are many and their variabilities cannot be ignored. A solution to this issue is reliability based analysis and design. These real conditions of variability can only be addressed through a reliability based design. The problem addressed here is one of reliability-based analysis of the support system of an underground tunnel in soil. Issues like the description of the interaction between the tunnel lining and the surrounding medium, the type of limit state that would be appropriate, the nonavailability of a closed form performance function and the advantages of response surface method [RSM] are looked into. Both static and seismic environment with random variability in the material properties are studied here. Support seismic response is studied in terms of thrust, moment and shear forces in the lining. Interactive analysis using finite element method [FEM], combined with RSM and Hasofer-Lind reliability concept to assess the performance of the tunnel support, has proven useful under real field situations.

200 citations

Journal ArticleDOI
TL;DR: In this article, a mixed convection peristaltic flow of magnetohydrodynamic (MHD) nanofluid is analyzed in the presence of velocity, thermal, and concentration slip effects.

183 citations

Journal ArticleDOI
TL;DR: In this article, the effect of elasticity of the flexible walls on the peristaltic flow of a Newtonian fluid in a two-dimensional porous channel with heat transfer has been studied under the assumptions of long-wavelength and low-Reynolds number.

149 citations