Joule heating and buoyancy effects in electro-osmotic peristaltic transport of aqueous nanofluids through a microchannel with complex wave propagation

Tripathi, Dharmendra; Sharma, Ashish; Bég, O. Anwar

doi:10.1016/j.apt.2017.12.009

Cited by 79 publications

(40 citation statements)

References 44 publications

(40 reference statements)

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“…For an incompressible viscous electromagnetic nanofluid, the balance equations for mass, momentum, energy (heat), and nanoparticle volumetric fraction (concentration) are given by:

\frac{\partial \overset{U}{true}}{\partial \overset{X}{true}} goodbreakinfix+ \frac{\partial \overset{V}{true}}{\partial \overset{Y}{true}} goodbreakinfix= 0,

ρ_{f} [\frac{\partial \overset{U}{true}}{\partial t'} + \overset{U}{true} \frac{\partial \overset{U}{true}}{\partial \overset{X}{true}} + \overset{V}{true} \frac{\partial \overset{U}{true}}{\partial \overset{Y}{true}}] goodbreakinfix= - \frac{\partial \overset{P}{true}}{\partial \overset{X}{true}} goodbreakinfix+ μ [\frac{\partial^{2} \overset{U}{true}}{\partial {\bar{X}}^{2}} + \frac{\partial^{2} \overset{U}{true}}{\partial {\bar{Y}}^{2}}] goodbreakinfix- σ' B_{0}^{2} \overset{U}{true} goodbreakinfix+ {\bar{ρ}}_{e} E_{x},

ρ_{f} [\frac{\partial \overset{V}{true}}{\partial t'} + \overset{U}{true} \frac{\partial \overset{V}{true}}{\partial \overset{X}{true}} + \overset{V}{true} \frac{\partial \overset{V}{true}}{\partial \overset{Y}{true}}] goodbreakinfix= - \frac{\partial \overset{P}{true}}{\partial \overset{Y}{true}} goodbreakinfix+ μ [\frac{\partial^{2} \overset{V}{true}}{\partial {\bar{X}}^{2}} + \frac{\partial^{2} \overset{V}{true}}{\partial {\bar{Y}}^{2}}]<...>

…”

Section: Mathematical Modelmentioning

confidence: 99%

“…For an incompressible viscous electromagnetic nanofluid, the balance equations for mass, momentum, energy (heat), and nanoparticle volumetric fraction (concentration) are given by: [51][52][53][54]…”

Section: Governing Equationsmentioning

confidence: 99%

“…Prakash et al have considered the dual influence of peristaltic pumping and electro‐osmosis on the flow of nanoliquid in a microfluidic channel. Tripathi et al examined the influence of different peristaltic waveforms, thermal and solutal buoyancy, and Joule electrical dissipation on electro‐osmotic peristaltic motion of aqueous nanoliquids in a microfluidic channel. Prakash et al have studied radiative heat transfer effects in the peristaltic motion of micropolar nanofluid flow altered by electro‐osmosis in a microfluidic vessel using Matlab bvp4c subroutines.…”

Section: Introductionmentioning

confidence: 99%

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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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“…For an incompressible viscous electromagnetic nanofluid, the balance equations for mass, momentum, energy (heat), and nanoparticle volumetric fraction (concentration) are given by:

\frac{\partial \overset{U}{true}}{\partial \overset{X}{true}} goodbreakinfix+ \frac{\partial \overset{V}{true}}{\partial \overset{Y}{true}} goodbreakinfix= 0,

ρ_{f} [\frac{\partial \overset{U}{true}}{\partial t'} + \overset{U}{true} \frac{\partial \overset{U}{true}}{\partial \overset{X}{true}} + \overset{V}{true} \frac{\partial \overset{U}{true}}{\partial \overset{Y}{true}}] goodbreakinfix= - \frac{\partial \overset{P}{true}}{\partial \overset{X}{true}} goodbreakinfix+ μ [\frac{\partial^{2} \overset{U}{true}}{\partial {\bar{X}}^{2}} + \frac{\partial^{2} \overset{U}{true}}{\partial {\bar{Y}}^{2}}] goodbreakinfix- σ' B_{0}^{2} \overset{U}{true} goodbreakinfix+ {\bar{ρ}}_{e} E_{x},

ρ_{f} [\frac{\partial \overset{V}{true}}{\partial t'} + \overset{U}{true} \frac{\partial \overset{V}{true}}{\partial \overset{X}{true}} + \overset{V}{true} \frac{\partial \overset{V}{true}}{\partial \overset{Y}{true}}] goodbreakinfix= - \frac{\partial \overset{P}{true}}{\partial \overset{Y}{true}} goodbreakinfix+ μ [\frac{\partial^{2} \overset{V}{true}}{\partial {\bar{X}}^{2}} + \frac{\partial^{2} \overset{V}{true}}{\partial {\bar{Y}}^{2}}]<...>

…”

Section: Mathematical Modelmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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show abstract

“…Furthermore, in buoyancy-driven flows, although the difference in inertia is almost negligible, the gravity remains sufficiently strong to make the specific weight significantly different during the flow in multiphase fluids. Tripathi et al [14] investigated buoyancy effects in the peristaltic flow of nanofluid under the influence of electro-osmosis. Animasaun and Pop [15] numerically explored the effects of buoyancy on the flow driven by catalytic surface reactions.…”

Section: Introductionmentioning

confidence: 99%

Buoyancy Driven Flow with Gas-Liquid Coatings of Peristaltic Bubbly Flow in Elastic Walls

et al. 2020

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In this paper, liquid coatings of bubbly flow with peristaltic motion inside elastic walls is investigated. The proposed model is constructed using the two-fluid approach with the most distinctive collaboration among gas, fluid, pressure, and drag forces. Variation in pressure leads to a change in void fraction. The differential controlling conditions affected by the long wavelength of the peristaltic wave and the slow movement are taken into account. Analytical results of the simplified governing equations are obtained using the homotopy perturbation method (HPM). The features of the significant parameters are shown and examined graphically.

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“…Moreover, Tripathi et al [ 29 ] worked on the combined effect of electroosmosis and peristalsis through the microchannel. In addition, Tripathi et al [ 30 ] revealed the peristaltic transport of nanofluids with buoyancy effect via a microchannel. The impact of heat and mass transport for the combined effect of electroosmosis and peristalsis was studied by Waheed et al [ 31 ].…”

Section: Introductionmentioning

confidence: 99%

Entropy Analysis in Double-Diffusive Convection in Nanofluids through Electro-Osmotically Induced Peristaltic Microchannel

Noreen

Hussanan

2019

Entropy

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A theoretical study is presented to examine entropy generation in double-diffusive convection in an Electro-osmotic flow (EOF) of nanofluids via a peristaltic microchannel. Buoyancy effects due to change in temperature, solute concentration and nanoparticle volume fraction are also considered. This study was performed under lubrication and Debye-Hückel linearization approximation. The governing equations are solved exactly. The effect of dominant hydrodynamic parameters (thermophoresis, Brownian motion, Soret and Dufour), Grashof numbers (thermal, concentration and nanoparticle) and electro-osmotic parameters on double-diffusive convective flow are discussed. Moreover, trapping, pumping, entropy generation number, Bejan number and heat transfer rate were also examined under the influence of pertinent parameters such as the thermophoresis parameter, the Brownian motion parameter, the Soret parameter, the Dufour parameter, the thermal Grashof number, the solutal Grashof number, the nanoparticle Grashof number, the electro-osmotic parameter and Helmholtz–Smoluchowski velocity. The electro-osmotic parameter powerfully affected the velocity profile. The magnitude of total entropy generation increased as the thermophoresis parameter and Brownian motion parameter increased. Soret and the Dufour parameter had a strong tendency to control the temperature profile and Bejan number. The findings of the present analysis can be used in clinical purposes such as cell therapy, drug delivery systems, pharmaco-dynamic pumps and particles filtration.

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Joule heating and buoyancy effects in electro-osmotic peristaltic transport of aqueous nanofluids through a microchannel with complex wave propagation

Cited by 79 publications

References 44 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

Buoyancy Driven Flow with Gas-Liquid Coatings of Peristaltic Bubbly Flow in Elastic Walls

Entropy Analysis in Double-Diffusive Convection in Nanofluids through Electro-Osmotically Induced Peristaltic Microchannel

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