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MHD mixed convective peristaltic motion of nanofluid with Joule heating and thermophoresis effects.

Shehzad SA, Abbasi FM, Hayat T, Alsaadi F - PLoS ONE (2014)

Bottom Line: It is noted that the concentration of nanoparticles near the boundaries is enhanced for larger thermophoresis parameter.However reverse situation is observed for an increase in the value of Brownian motion parameter.Further, the mass transfer rate at the wall significantly decreases when Brownian motion parameter is assigned higher values.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Comsats Institute of Information Technology, Sahiwal, Pakistan.

ABSTRACT
The primary objective of present investigation is to introduce the novel aspect of thermophoresis in the mixed convective peristaltic transport of viscous nanofluid. Viscous dissipation and Joule heating are also taken into account. Problem is modeled using the lubrication approach. Resulting system of equations is solved numerically. Effects of sundry parameters on the velocity, temperature, concentration of nanoparticles and heat and mass transfer rates at the wall are studied through graphs. It is noted that the concentration of nanoparticles near the boundaries is enhanced for larger thermophoresis parameter. However reverse situation is observed for an increase in the value of Brownian motion parameter. Further, the mass transfer rate at the wall significantly decreases when Brownian motion parameter is assigned higher values.

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Effect of thermophoresis parameter on the heat transfer rate the wall  when ,  and
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pone-0111417-g018: Effect of thermophoresis parameter on the heat transfer rate the wall when , and

Mentions: Effects of Hartman number, Brownian motion and thermophoresis parameters on the heat and mass transfer rates at the wall are studied through bar-charts given in Figs. 16–21. Considerable increase in the heat transfer rate at the wall is noted when the strength of applied magnetic field is increased (see Fig. 16). The Brownian motion and thermophoresis parameters have very little effect on heat transfer rate at the wall (see Figs. 17–18). This is primarily due to the fact that we have assumed the channels walls to possess constant temperature. Heat transfer rate at the wall slightly increases with an increase in Brownian motion parameter. However this observation is not true for Fig. 19 depicts that the mass transfer rate at the wall significantly increases with an increase in the value of Hartman number. This is primarily due to the effect of applied magnetic field. The Brownian motion and thermophoresis parameters have opposite effects on the temperature of fluid. Considerable decrease in mass transfer rate at the wall is seen for an increase in Brownian motion parameter. This is the consequence of considered thermophoresis condition for concentration.


MHD mixed convective peristaltic motion of nanofluid with Joule heating and thermophoresis effects.

Shehzad SA, Abbasi FM, Hayat T, Alsaadi F - PLoS ONE (2014)

Effect of thermophoresis parameter on the heat transfer rate the wall  when ,  and
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4229111&req=5

pone-0111417-g018: Effect of thermophoresis parameter on the heat transfer rate the wall when , and
Mentions: Effects of Hartman number, Brownian motion and thermophoresis parameters on the heat and mass transfer rates at the wall are studied through bar-charts given in Figs. 16–21. Considerable increase in the heat transfer rate at the wall is noted when the strength of applied magnetic field is increased (see Fig. 16). The Brownian motion and thermophoresis parameters have very little effect on heat transfer rate at the wall (see Figs. 17–18). This is primarily due to the fact that we have assumed the channels walls to possess constant temperature. Heat transfer rate at the wall slightly increases with an increase in Brownian motion parameter. However this observation is not true for Fig. 19 depicts that the mass transfer rate at the wall significantly increases with an increase in the value of Hartman number. This is primarily due to the effect of applied magnetic field. The Brownian motion and thermophoresis parameters have opposite effects on the temperature of fluid. Considerable decrease in mass transfer rate at the wall is seen for an increase in Brownian motion parameter. This is the consequence of considered thermophoresis condition for concentration.

Bottom Line: It is noted that the concentration of nanoparticles near the boundaries is enhanced for larger thermophoresis parameter.However reverse situation is observed for an increase in the value of Brownian motion parameter.Further, the mass transfer rate at the wall significantly decreases when Brownian motion parameter is assigned higher values.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Comsats Institute of Information Technology, Sahiwal, Pakistan.

ABSTRACT
The primary objective of present investigation is to introduce the novel aspect of thermophoresis in the mixed convective peristaltic transport of viscous nanofluid. Viscous dissipation and Joule heating are also taken into account. Problem is modeled using the lubrication approach. Resulting system of equations is solved numerically. Effects of sundry parameters on the velocity, temperature, concentration of nanoparticles and heat and mass transfer rates at the wall are studied through graphs. It is noted that the concentration of nanoparticles near the boundaries is enhanced for larger thermophoresis parameter. However reverse situation is observed for an increase in the value of Brownian motion parameter. Further, the mass transfer rate at the wall significantly decreases when Brownian motion parameter is assigned higher values.

Show MeSH
Related in: MedlinePlus