Peristaltic flow of a heated Jeffrey fluid inside an elliptic duct: streamline analysis
04 Mar 2021-Applied Mathematics and Mechanics-english Edition (Springer Science and Business Media LLC)-Vol. 42, Iss: 4, pp 583-592
TL;DR: In this paper, the peristaltic flow of a heated Jeffrey fluid inside a duct with an elliptic cross-section is studied, and a thorough heat transfer mechanism is interpreted by analyzing the viscous effects in the energy equation.
Abstract: The peristaltic flow of a heated Jeffrey fluid inside a duct with an elliptic cross-section is studied. A thorough heat transfer mechanism is interpreted by analyzing the viscous effects in the energy equation. The governing mathematical equations give dimensionless partial differential equations after simplification. The final simplified form of the mathematical equations is evaluated with respect to the relevant boundary conditions, and the exact solution is attained. The results are further illustrated by graphs, and the distinct aspects of peristaltic flow phenomena are discussed.
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TL;DR: In this article, the peristaltic flow of hybrid nanofluid inside a duct having sinusoidally advancing boundaries and elliptic cross-section is investigated, and the notable irreversibility effects are also examined in this mathematical research by considering a descriptive entropy analysis.
Abstract: Peristaltic flow of hybrid nanofluid inside a duct having sinusoidally advancing boundaries and elliptic cross-section is mathematically investigated. The notable irreversibility effects are also examined in this mathematical research by considering a descriptive entropy analysis. In addition, this work provides a comparison analysis for two distinct nanofluid models: a hybrid model (Cu-Ag/water) and a phase flow model (Cu/water). A comprehensive graphical description is also provided to interpret the physical aspects of this mathematical analysis.
25 citations
TL;DR: In this article, a mathematical model is presented to analyse the flow characteristics and heat transfer aspects of a heated Newtonian viscous fluid with single wall carbon nanotubes inside a vertical duct having elliptic cross section and sinusoidally fluctuating walls.
Abstract: A mathematical model is presented to analyse the flow characteristics and heat transfer aspects of a heated Newtonian viscous fluid with single wall carbon nanotubes inside a vertical duct having elliptic cross section and sinusoidally fluctuating walls. Exact mathematical computations are performed to get temperature, velocity and pressure gradient expressions. A polynomial solution technique is utilized to obtain these mathematical solutions. Finally, these computational results are presented graphically and different characteristics of peristaltic flow phenomenon are examined in detail through these graphs. The velocity declines as the volume fraction of carbon nanotubes increases in the base fluid. Since the velocity of fluid is dependent on its temperature in this study case and temperature decreases with increasing volumetric fraction of carbon nanotubes. Thus velocity also declines for increasing volumetric fraction of nanoparticles.
17 citations
TL;DR: In this article , the consequences of electromagnetic phenomena (Hall and ion-slip currents) on cilia-aided peristaltic transmission of hybrid nano-blood through an arterial tube under a dominated magnetic field are investigated.
Abstract: The development of nanobiotechnology is still flourishing over the decades and the design and application of composite nanomaterials in biomedical engineering have turned out to be an emergent research topic in current era. Enlightened by the novel perspectives in this direction, the current simulation aims to illuminate the consequences of electromagnetic phenomena (Hall and ion-slip currents) on cilia-aided peristaltic transmission of hybrid nano-blood through an arterial tube under a dominated magnetic field. The Jeffrey rheology is engaged to mimic the non-Newtonian attributes of hybrid nano-blood. The model equations are mapped from the laboratory frame to wave frame and simplified by using lubrication estimates and solved by implementing the homotopy perturbation method. The graphical upshots expose that Hall and ion-slip parameters have an attenuating behavior on bloodstream in an artery while contrary consequence is recorded for intensifying magnetic field. The blood is insisted to be cooled by expanding hybrid nanoparticle volume fractions. Moreover, the trapping of bolus is augmented by incrementing cilia length due to more powerful and effective recovery stokes of cilia. This research study may be beneficial to medical experts and researchers for a comprehensive insight into functionality and diseases of embryological organs, renal systems, and respiratory tracts, etc.
12 citations
TL;DR: In this paper , the mixed convective peristaltic flow of Carreau-Yasuda nanoliquid in the presence of slip conditions is investigated and the resulting problem is solved numerically by using the NDSolve technique via Mathematica.
Abstract: Nanofluids have recently been widely used in energy technologies and physiological processes. These fluids have already demonstrated significant interest in the thermal amplification of numerous industrial sectors. Therefore, the present work investigates the mixed convective peristaltic flow of Carreau-Yasuda nanoliquid in presence of slip conditions. Modified Darcy's expression for porous space is utilized. A symmetric channel with compliant wall characteristics is considered. The characteristics of Brownian motion and thermophoresis are included in the nanofluid model being considered. Outcomes of first-order chemical reactions and radiation are analyzed. The resulting problem is solved numerically by using the NDSolve technique via Mathematica. Features of pertinent variables against velocity, temperature and concentration are graphically discussed. Finally, heat transfer rate is examined through tabular values. Velocity of the fluid shows opposite behavior for porous medium and velocity slip parameter. Temperature is declines for radiation parameter. Heat transfer rate enhances for larger Brownian motion and thermophoresis variables.
6 citations
TL;DR: In this paper , a mathematical simulation is presented to unravel the electric double layer (EDL) aspect in a cilia-attenuated peristaltic transport of viscoelastic ionized blood diffused with hybridized nanoparticles inside a microtube due to its impressive nanomedicine functionalities.
Abstract: Cilia-regulated micro-scale transit via assorted micro and nanofluidic devices that employ EDL phenomena dictates drugs and physiological constituent delivery. Stirred by these implications, the present mathematical simulation intends to unravel the electric double layer (EDL) aspect in a cilia-attenuated peristaltic transport of viscoelastic ionized blood diffused with hybridized nanoparticles inside a microtube due to its impressive nanomedicine functionalities. A magnetic field extraordinarily durable is usually enforced to the blood transit via a cilia-layered microtube to unfold the electromagnetic (Hall and ion-slip currents) facts. An electric field aligned axially is imputed to the bloodstream. In this modelling, the collective effects of buoyancy force, viscous dissipation, and heat source are also evoked. Gold (Au) and copper (Cu) nanoparticles are selected in the hybridizing process to prepare the requisite hybrid nano-blood. Four unlike geometrical shapes (sphere, brick, cylinder and platelet) of nanoparticles are considered. The Jeffrey fluid model is favoured to emulate the rheological functionality of viscoelastic hybrid nano-blood. The homotopy perturbation method (HPM) is assigned to evaluate the analytical series solution upon simplifying the normalized model equations employing lubrication and Debye–Hückel linearization postulates. The changes in pertinent factors lead to an amendment in hemodynamical attributes, which are elucidated via graphs. The contribution of electro-osmotic force and electromagnetic events (Hall and ion-slip currents) are acknowledged to boost up the bloodstream in the core part of the microtube while impeding it close to the tube wall. The growth in the heat exchange rate for hybrid nano blood (201.5% for Au–Cu/blood) is higher than for nano blood (86.27% for Cu-blood and 148.4% for Au-blood). The captivated boluses expand for Hall and ion-slip, EDL and cilia length factors. This search could benefit the medical domain, such as haematology, haemato-oncology, radiology, pulmonology, electrobiology, etc.
6 citations
References
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TL;DR: In this article, the authors investigated the effect of peristaltic wave propagation on the flow of fluid in a tube and showed that the theoretical pressure rise per wavelength decreases linearly with increasing time-mean flow and that the percentage of reflux flow can be very high.
Abstract: Pumping by means of an infinite train of peristaltic waves is investigated under conditions for which the relevant Reynolds number is small enough for inertial effects to be negligible and the wavelength to diameter ratio is large enough for the pressure to be considered uniform over the cross-section. Theoretical results are presented for both plane and axisymmetric geometries, and for amplitude ratios ranging from zero to full occlusion. For a given amplitude ratio, the theoretical pressure rise per wavelength decreases linearly with increasing time-mean flow. An experiment with a quasi-two-dimensional apparatus confirmed the theoretical values.Calculations of the detailed fluid motions reveal that under many conditions of operation the net time-mean flow is the algebraic difference between a forward time-mean flow in the core of the tube and a backward (‘reflux’) time-mean flow near the periphery. The percentage of reflux flow can be very high. This reflux phenomenon is probably of physiologic significance in the functioning of the ureter and the gastro-intestinal system. A second fluid-mechanical peculiarity with physiological implications is that of ‘trapping’: under certain conditions an internally circulating bolus of fluid, lying about the axis, is transported with the wave speed as though it were trapped by the wave.
1,298 citations
01 Sep 1968
TL;DR: In this paper, the authors investigated the effect of peristaltic wave propagation on the flow of fluid in the tube and showed that the theoretical pressure rise per wavelength decreases linearly with increasing time-mean flow, and that the percentage of reflux flow can be very high.
Abstract: : Pumping by means of an infinite train of peristaltic waves is investigated under conditions for which (1) the relevant Reynolds number is small enough for inertial effects to be negligible and (2) the wavelength-diameter ratio is large enough for the pressure to be considered uniform over the cross-section. Theoretical results are presented for both plane and axi-symmetric geometries, and for amplitude ratios ranging from zero to full occlusion. For a given amplitude ratio, the theoretical pressure rise per wavelength decreases linearly with increasing time-mean flow. An experiment with a quasi-two-dimensional apparatus confirmed the theoretical values. Calculations of the detailed fluid motions reveal that under many conditions of operation the net time-mean flow is the algebraic difference between a forward time-mean flow in the core of the tube and a backward ('reflux') time-mean flow near the periphery. The percentage of reflux flow can be very high. This reflux phenomenon is probably of physiologic significance in the functioning of the ureter and the gastro-intestinal system. A second fluid mechanical peculiarity with physiological implications is that of 'trapping': under certain conditions an internally-circulating bolus of fluid, lying about the axis, is transported with the wave speed as though it were trapped by the wave. (Author)
1,104 citations
TL;DR: In this article, the authors analyzed the peristaltic pumping of a non-Newtonian fluid through an axisymmetric conduit, represented by the constitutive equation for a second-order fluid.
Abstract: We have analyzed the mechanics of peristaltic pumping of a non-Newtonian fluid through an axisymmetric conduit. The material was represented by the constitutive equation for a second-order fluid. A perturbation series (to second order) in dimensionless wavenumber of an infinite harmonic traveling wave was used to obtain explicit forms for the velocity field and a relation between the flow rate and the pressure gradient, in terms of the Reynolds number, the dimensionless non-Newtonian parameters, and the occlusion. Results were compared with other studies, in both Newtonian and non-Newtonian cases. Also, we have shown that the flow of a Newtonian fluid through a rigid, axisymmetric tube with an axial, sinusoidal variation of radius is a special case of this analysis.
182 citations
TL;DR: The study is concerned with the analysis of two flow domains of peristaltic motion in tubes where the wall disturbance wavelength is much larger than the average tube radius and the disturbance wavelength may be as small as the average radius.
144 citations
TL;DR: In this article, an innovative approach to escalate the heat generation in peristalsis flow of MHD nanofluids filled in an asymmetric channel is proposed, where three different shapes of nanoparticles, namely (1) spherical, (2) disc and (3) cylindrical are utilized.
Abstract: An innovative approach to escalate the heat generation in peristalsis flow of MHD nanofluids filled in an asymmetric channel is proposed. Three different shapes of nanoparticles, namely (1) spherical, (2) disc and (3) cylindrical are utilized. Results for temperature, velocity and concentrations have been obtained analytically. The physical features for heat generation, concentration, pressure gradient, pressure rise and magnetic parameter have been elaborated graphically, whereas effects of Nusselt number and skin friction have been numerically computed by using the MATLAB software. For bolus features, trapping phenomena are also inspected by dint of stream lines. It is found that cylindrical shapes of nanoparticles have very low thermal conductivity as compared to spherical and disc shapes. Moreover, it is seen that the heat generation parameter always increases the temperature of nanofluid, and consequently, the trapping phenomena produce more boluses for larger values of heat source parameter.
118 citations