Limits...
Homogeneous-heterogeneous reactions in peristaltic flow with convective conditions.

Hayat T, Tanveer A, Yasmin H, Alsaedi A - PLoS ONE (2014)

Bottom Line: This article addresses the effects of homogeneous-heterogeneous reactions in peristaltic transport of Carreau fluid in a channel with wall properties.The channel walls satisfy the more realistic convective conditions.The governing partial differential equations along with long wavelength and low Reynolds number considerations are solved.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan; NAAM Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.

ABSTRACT
This article addresses the effects of homogeneous-heterogeneous reactions in peristaltic transport of Carreau fluid in a channel with wall properties. Mathematical modelling and analysis have been carried out in the presence of Hall current. The channel walls satisfy the more realistic convective conditions. The governing partial differential equations along with long wavelength and low Reynolds number considerations are solved. The results of temperature and heat transfer coefficient are analyzed for various parameters of interest.

Show MeSH

Related in: MedlinePlus

Plot of temperature  for Hall parameter  with , ,  and
© Copyright Policy
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC4252151&req=5

pone-0113851-g005: Plot of temperature for Hall parameter with , , and

Mentions: Figs. (1–8) are formulated to examine the impact of various involved parameters on temperature distribution Fig. 1 indicates the increasing behavior of temperature profile with wall parameters and while corresponds to reduction in temperature profile. It is in view of the fact that elastic properties of the wall depicted by and cause less resistance to flow of fluid velocity as well as energy. On the other hand the damping characteristic of the wall identified by reduces the velocity and temperature of the fluid (see Fig. 1). The temperature profile is an increasing function of Brinkman number (see Fig. 2). This is because of the increase in internal resistance of fluid particles which increases the fluid temperature. The Biot numbers and on the lower and upper walls have similar effect on the temperature profile increase in and decreases the temperature profile near upper and lower channel walls respectively (see Figs. 3 and 4). It is seen that increasing and reduces the thermal conductivity which causes reduction of temperature profile. The Hall parameter increases the temperature. This is due to the fact that electrical conductivity increases with increasing values of (see Fig. 5). It is observed from Fig. 6 that Hartman number lessens the temperature distribution. Also the results drawn in Figs. 7 and 8 show opposite effects of Weissenberg number and the power law index increasing values of reduces the temperature whereas an increase in enhances the temperature of fluid. The obtained results are in good agreement with the articles presented in [17]–[19].


Homogeneous-heterogeneous reactions in peristaltic flow with convective conditions.

Hayat T, Tanveer A, Yasmin H, Alsaedi A - PLoS ONE (2014)

Plot of temperature  for Hall parameter  with , ,  and
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4252151&req=5

pone-0113851-g005: Plot of temperature for Hall parameter with , , and
Mentions: Figs. (1–8) are formulated to examine the impact of various involved parameters on temperature distribution Fig. 1 indicates the increasing behavior of temperature profile with wall parameters and while corresponds to reduction in temperature profile. It is in view of the fact that elastic properties of the wall depicted by and cause less resistance to flow of fluid velocity as well as energy. On the other hand the damping characteristic of the wall identified by reduces the velocity and temperature of the fluid (see Fig. 1). The temperature profile is an increasing function of Brinkman number (see Fig. 2). This is because of the increase in internal resistance of fluid particles which increases the fluid temperature. The Biot numbers and on the lower and upper walls have similar effect on the temperature profile increase in and decreases the temperature profile near upper and lower channel walls respectively (see Figs. 3 and 4). It is seen that increasing and reduces the thermal conductivity which causes reduction of temperature profile. The Hall parameter increases the temperature. This is due to the fact that electrical conductivity increases with increasing values of (see Fig. 5). It is observed from Fig. 6 that Hartman number lessens the temperature distribution. Also the results drawn in Figs. 7 and 8 show opposite effects of Weissenberg number and the power law index increasing values of reduces the temperature whereas an increase in enhances the temperature of fluid. The obtained results are in good agreement with the articles presented in [17]–[19].

Bottom Line: This article addresses the effects of homogeneous-heterogeneous reactions in peristaltic transport of Carreau fluid in a channel with wall properties.The channel walls satisfy the more realistic convective conditions.The governing partial differential equations along with long wavelength and low Reynolds number considerations are solved.

View Article: PubMed Central - PubMed

Affiliation: Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan; NAAM Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.

ABSTRACT
This article addresses the effects of homogeneous-heterogeneous reactions in peristaltic transport of Carreau fluid in a channel with wall properties. Mathematical modelling and analysis have been carried out in the presence of Hall current. The channel walls satisfy the more realistic convective conditions. The governing partial differential equations along with long wavelength and low Reynolds number considerations are solved. The results of temperature and heat transfer coefficient are analyzed for various parameters of interest.

Show MeSH
Related in: MedlinePlus