Thermal radiation effects on electroosmosis modulated peristaltic transport of ionic nanoliquids in biomicrofluidics channel

Prakash, J.; Sharma, Ashish; Tripathi, Dharmendra

doi:10.1016/j.molliq.2017.11.064

Cited by 84 publications

(41 citation statements)

References 43 publications

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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%

“…Schit et al studied the EOF of blood in a hydrophobic microfluidic channel under a transverse magnetic field. 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.…”

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%

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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.

Self Cite

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“…Recently, with the progress in the analytical and computational tools, increasing attention has been offered to thermal convection flows with considerable radiative flux. Prakash et al discussed the thermal radiation influence on peristaltic transport of ionic nanoliquids in biomicrofluidics channel. Bhatti et al scrutinized the thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct.…”

Section: Introductionmentioning

confidence: 99%

Thermal radiation and variable electrical conductivity effects on MHD peristaltic motion of Carreau nanofluids: Radiotherapy and thermotherapy of oncology treatment

Hasona

Al-Malki

ElShekhipy

et al. 2019

Heat Trans. Asian Res.

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This study intends to investigate the influences of thermal radiation and variable electrical conductivity on the MHD peristaltic flow of Carreau nanofluids as the radiotherapy and thermotherapy are required for cancer treatment.Formulation of temperature-dependent electrical conductivity is introduced for the first time in the peristaltic literature. The related equations of momentum, mass, and concentration are reformulated using lubrication approximations (ie, tiny or zero Reynolds number and long wavelength). These simplified equations are solved numerically with the aid of Parameteric-NDSolve. Results for velocity, temperature, and concentration distributions are obtained in three-dimensional analytical forms. The streamline graphs are offered in the terminus, which elucidate the trapping bolus phenomenon. A "special case" of our results offered to get the solutions over certain contours for the behaviors of velocity, temperature, and nanoparticle concentration. It is found that the magnetic nanoparticles acquire more energy at high temperature, enabling them to destroy and damage tumors tissues (thermotherapy of oncology). Radiation is the reason for spreading the energy, that is, the energy of all the fluid nanoparticles does not continue with the same value.Heat Transfer-Asian Res. 2019;48:938-956. wileyonlinelibrary.com/journal/htj 938 |

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“…Chio [9] was the first to introduce the word nanofluid that represents the fluid in which nanoscale particles (diameter less than 100 nm) are suspended in the base fluid. Recent articles on the nanofluid are cited in [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Effect of joule heating and MHD on peristaltic blood flow of Eyring–Powell nanofluid in a non-uniform channel

Asha

Sunitha

2018

Journal of Taibah University for Science

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This paper examines the effect of joule heating and MHD on peristaltic blood flow of a Eyring-Powell nanofluid in a non-uniform channel. The transport equations involve the combined effects of Brownian and Thermophoresis diffusion of nanoparticles. The mathematical modelling is carried out by utilizing long wavelength and low Reynolds number assumptions. The energy equation is modelled by taking joule heating effect. The resulting nonlinear system of partial differential equations is solved for the stream function, velocity, pressure gradient, concentration and temperature distributions with the help of the Homotopy Analysis Method. The effect of various physical parameters on the flow characteristics is shown and discussed with the help of graphs. Pressure gradient gives opposite behaviour with increasing values of Eyring-Powell fluid parameters A and B. Pressure gradient decreases by increasing Hartman number and joule heating. Nanoparticle concentration increases with increasing thermophoresis parameter, but the reverse trend is observed with the effect of Brownian motion parameter. ARTICLE HISTORY

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Thermal radiation effects on electroosmosis modulated peristaltic transport of ionic nanoliquids in biomicrofluidics channel

Cited by 84 publications

References 43 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

Thermal radiation and variable electrical conductivity effects on MHD peristaltic motion of Carreau nanofluids: Radiotherapy and thermotherapy of oncology treatment

Effect of joule heating and MHD on peristaltic blood flow of Eyring–Powell nanofluid in a non-uniform channel

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