Heat Transfer to Peristaltic Transport in a Vertical Porous Tube
01 Jan 2020-pp 371-379
TL;DR: In this article, the peristaltic transport of a Newtonian fluid with heat transfer in a vertical porous axisymmetric tube under long-wavelength approximation is considered and closed-form solution is obtained as an asymptotic expansion in terms of porosity and free convection parameters.
Abstract: Peristaltic transport of a Newtonian fluid, with heat transfer, in a vertical porous axisymmetric tube under long-wavelength approximation is considered. Closed-form solution is obtained as an asymptotic expansion in terms of porosity and free convection parameters. Expressions, for velocity, temperature, coefficient of heat transfer and pressure–flow relationship at the boundary wall of the tube, are derived. It is observed that pressure drop increases as amplitude ratio increases. Further, it has been observed that for some specific values of different parameters under consideration, the mean flux significantly increases by about 8–10% as Grashof number increases from 1 to 2. This relates to optimization of heat transfer in certain processes.
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01 Dec 2020
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TL;DR: In this article, a numerical method employing an upwind finite-difference technique is adopted for an investigation of peristaltic pumping in circular cylindrical tubes, and the influence of the magnitude of these quantities on the flow is investigated.
Abstract: A numerical method employing an upwind finite-difference technique is adopted for an investigation of peristaltic pumping in circular cylindrical tubes. such as some organs in the living body. Various peristaltic flows are calculated under conditions of finite wave amplitudes, finite wavelengths and finite Reynolds numbers, and the influence of the magnitude of these quantities on the flow is investigated. The fluid mechanics of peristaltic mixing and transport are studied in detail by analysing the reflux and the trapping phenomena. The mechanical efficiency of peristaltic pumping is also discussed, with reference to engineering and physiological applications. It is shown that quantitative differences are observed between the results obtained for flows in a circular cylindrical tube and a two-dimensional plane channel. However, for both cases the appearance of peristaltic reflux depends upon the Reynolds number and the wavenumber (mean tube radius/wavelength). Much greater peristaltic mixing and transport are realized in a circular tube than in a plane channel.
185 citations
TL;DR: In this paper, the effect of elasticity of the flexible walls on peristaltic transport of an incompressible viscous fluid, with heat transfer, in a two dimensional uniform channel has been investigated under long wave length approximation.
144 citations
TL;DR: In this paper, the influence of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct is studied under the consideration of long wavelength ( 0 ≪ λ → ∞ ) and low Reynolds number ( Re → 0 ).
142 citations
TL;DR: In this paper, the combined effects of heat and mass transfer on the peristaltic propulsion of two-phase fluid flow through a Darcy-Brinkman-Forchheimer porous medium with compliant walls are investigated.
128 citations
TL;DR: In this article, the effects of peripheral-layer viscosity on the flow characteristics of a bio-fluid due to peristaltic transport has been investigated, and it is shown that, for a given pressure drop, the flow flux increases and the frictional force decreases as the viscosities of the peripheral layer fluid decreases.
Abstract: The effects of peripheral-layer viscosity on the flow characteristics of a bio-fluid due to peristaltic transport has been investigated. It is shown that, for a given pressure drop, the flow flux increases and the frictional force decreases as the viscosity of the peripheral-layer fluid decreases. However, for zero pressure drop, the flux does not depend upon this viscosity while the friction force decreases as it decreases. The analysis has been applied and compared with observed data.
96 citations