Limits...
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.

Show MeSH

Related in: MedlinePlus

Effect of Brownian motion parameter on the velocity of nanofluid when ,  and
© Copyright Policy
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC4229111&req=5

pone-0111417-g004: Effect of Brownian motion parameter on the velocity of nanofluid when , and

Mentions: Figs. 1–5 are prepared to examine the influences of various parameters on velocity profile. All these Figs. show that velocity attains maximum value near the centre of channel. Also it can be seen from these Figs. that effects of different parameters on velocity are opposite near the channel walls compared with that of near the centre of channel. Fig. 1 depicts that velocity near the centre of channel decreases by increasing Hartman number. This signifies the reduction of maximum velocity subject to an increase in the strength of applied magnetic field. Thermal Grashoff number has an increasing effect of the velocity near the centre (see Fig. 2). Substantial increase in the maximum velocity is seen for an increase in thermal Grashoff number. Contrary to previous case, maximum velocity decreases when concentration Grashoff number is increased (see Fig. 3). Brownian motion and thermophoresis parameters have opposite effects on the velocity (see Figs. 4 and 5). Maximum velocity is found to increase when Brownian motion parameter is enhanced.


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 Brownian motion parameter on the velocity of nanofluid when ,  and
© Copyright Policy
Related In: Results  -  Collection

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

pone-0111417-g004: Effect of Brownian motion parameter on the velocity of nanofluid when , and
Mentions: Figs. 1–5 are prepared to examine the influences of various parameters on velocity profile. All these Figs. show that velocity attains maximum value near the centre of channel. Also it can be seen from these Figs. that effects of different parameters on velocity are opposite near the channel walls compared with that of near the centre of channel. Fig. 1 depicts that velocity near the centre of channel decreases by increasing Hartman number. This signifies the reduction of maximum velocity subject to an increase in the strength of applied magnetic field. Thermal Grashoff number has an increasing effect of the velocity near the centre (see Fig. 2). Substantial increase in the maximum velocity is seen for an increase in thermal Grashoff number. Contrary to previous case, maximum velocity decreases when concentration Grashoff number is increased (see Fig. 3). Brownian motion and thermophoresis parameters have opposite effects on the velocity (see Figs. 4 and 5). Maximum velocity is found to increase when Brownian motion parameter is enhanced.

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