Peristaltic Transport of a Casson Fluid in Contact with a Newtonian Fluid in a Circular Tube with Permeable Wall

Vajravelu, K.; Sreenadh, S.; Reddy, R. Hemadri; Murugesan, K.

doi:10.1615/interjfluidmechres.v36.i3.40

Cited by 26 publications

(8 citation statements)

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“…Many researchers subsequently extended these studies to consider alternative geometries and increasingly more sophisticated fluids. These include Haroun (fourth order fluids in inclined channels), Mekheimer et al (endoscopic couple stress annular flows), Hayat et al (third grade viscoelastic peristaltic flow), Bég et al (hydromagnetic pumping of magnetic Williamson elastic‐viscous liquids), Srinivas and Kothandapani (thermal convection in peristaltic flow), Kothandapani and Srinivas (peristaltic pumping in porous tilted channels), Hayat et al (micropolar endoscopic flow), Vajravelu et al (viscoplastic peristaltic flow with peripheral Newtonian flow), and Ali et al (Carreau shear‐dependent peristaltic flow in coiled channels).…”

Section: Introductionmentioning

confidence: 99%

Thermal slip and radiative heat transfer effects on electro‐osmotic magnetonanoliquid peristaltic propulsion through a microchannel

Prakash¹,

Siva

Tripathi

et al. 2019

Heat Trans. Asian Res.

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A mathematical study is described to examine the concurrent influence of thermal radiation and thermal wall slip on the dissipative magnetohydrodynamic electro‐osmotic peristaltic propulsion of a viscous nanoliquid in an asymmetric microchannel under the action of an axial electric field and transverse magnetic field. Convective boundary conditions are incorporated in the model and the case of forced convection is studied, that is, thermal and species (nanoparticle volume fraction) buoyancy forces neglected. The heat source and sink effects are also included and the diffusion flux approximation is employed for radiative heat transfer. The transport model comprises the continuity, momentum, energy, nanoparticle volume fraction, and electric potential equations with appropriate boundary conditions. These are simplified by negating the inertial forces and invoking the Debye–Hückel linearization. The resulting governing equations are reduced into a system of nondimensional simultaneous ordinary differential equations, which are solved analytically. Numerical evaluation is conducted with symbolic software (MATLAB). The impact of different control parameters (Hartmann number, electro‐osmosis parameter, slip parameter, Helmholtz–Smoluchowski velocity, Biot numbers, Brinkman number, thermal radiation, and Prandtl number) on the heat, mass, and momentum characteristics (velocity, temperature, Nusselt number, etc) are presented graphically. Increasing Brinkman number is found to elevate temperature magnitudes. For positive Helmholtz–Smoluchowski velocity (reverse axial electrical field) temperature is strongly reduced, whereas for negative Helmholtz–Smoluchowski velocity (aligned axial electrical field), it is significantly elevated. With increasing thermal slip, nanoparticle volume fraction is also increased. Heat source elevates temperatures, whereas heat sink depresses them, across the microchannel span. Conversely, heat sink elevates nanoparticle volume fraction, whereas heat source decreases it. Increasing Hartmann (magnetic) parameter and Prandtl number enhance the nanoparticle volume fraction. Furthermore, with increasing radiation parameter, the Nusselt number is reduced at the extremities of the microchannel, whereas it is elevated at intermediate distances. The results reported provide a good insight into biomimetic energy systems exploiting electromagnetics and nanotechnology, and, furthermore, they furnish a useful benchmark for experimental and more advanced computational multiphysics simulations.

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Section: Introductionmentioning

confidence: 99%

Thermal slip and radiative heat transfer effects on electro‐osmotic magnetonanoliquid peristaltic propulsion through a microchannel

Prakash¹,

Siva

Tripathi

et al. 2019

Heat Trans. Asian Res.

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“…Hayat and Ali [7] investigated the peristaltic motion of a Jeffrey fluid under the effect of a magnetic field. Vajravelu et al [37] studied the peristaltic transport of a Casson fluid in contact with a Newtonian fluid in a circular tube with permeable wall. In physiological peristalsis, the pumping fluid may be considered as a Newtonian or a non-Newtonian fluid.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer Effect on Peristalsis of Jeffrey Fluid in a Vertical Channel with Thermal Radiation and Heat Sources

2019

International Journal of Scientific and Innovative Mathematical

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We analyse the combined influence of thermal radiation and heat sources on peristaltic flow of a conducting Jeffrey fluid in a vertical porous channel with heat and mass transfer is studied. Using the perturbation technique, the nonlinear governing equations are solved. The expressions for velocity, temperature and concentration the pressure rise per one wave length are determined. The effects of different parameters on the temperature and the pumping characteristics are discussed through graphs.

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“…Vajravelu et al [8] studied Peristaltic pumping of a Herschel-Bulkley fluid in contact with a Newtonian fluid. Vajravelu et al [9] discussed Peristaltic transport of a Casson fluid in contact with a Newtonian fluid in a circular tube with permeable wall. The authors Narahari and Sreenadh [10], Kumar et al [11] and Hari Prabhakaran et al [12] studied the peristaltic pumping of a Bingham fluid in contact with a Newtonian fluid under the long wavelength approximation.…”

Section: Introductionmentioning

confidence: 99%

Peristaltic motion of a Bingham fluid in contact with a Newtonian fluid in a vertical channel

Goud

Reddy

Saravana³

2017

IOP Conf. Ser.: Mater. Sci. Eng.

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Peristaltic motion of a Bingham fluid in contact with a Newtonian fluid in a Vertical channel has been studied under long wavelength and low Reynolds number suspicions. The flow is investigated in a wave frame of reference moving with velocity of the wave. The solution is acquired for stream function, velocity field, friction force and the pressure rise in several sectors over one cycle of wavelength. The impacts of yield stress on the frame of interface are contemplated. It is discovered that the time-averaged flux against pressure rise is decreasing with an increase in the yield stress and viscosity ratio and it is also identified that the frictional force has unsimilar behavior with pressure rise

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Peristaltic Transport of a Casson Fluid in Contact with a Newtonian Fluid in a Circular Tube with Permeable Wall

Cited by 26 publications

References 0 publications

Thermal slip and radiative heat transfer effects on electro‐osmotic magnetonanoliquid peristaltic propulsion through a microchannel

Thermal slip and radiative heat transfer effects on electro‐osmotic magnetonanoliquid peristaltic propulsion through a microchannel

Heat and Mass Transfer Effect on Peristalsis of Jeffrey Fluid in a Vertical Channel with Thermal Radiation and Heat Sources

Peristaltic motion of a Bingham fluid in contact with a Newtonian fluid in a vertical channel

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