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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.

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Plot of heat transfer coefficient  for wall parameters  with , ,  and
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pone-0113851-g009: Plot of heat transfer coefficient for wall parameters with , , and

Mentions: Figs. 9–16 demonstrate the influence of embedded parameters on the heat transfer coefficient The graphs signify the oscillatory behavior of because of the propagation of peristaltic waves. Fig. 9 reveals that magnitude of heat transfer coefficient increases for compliant wall parameters and . Since and describes the elastic nature of wall that offer less resistance to heat transfer. Increasing values of Brinkman number show similar behavior on heat transfer as of wall parameters. However the results obtained are much more distinguished in case of (see Fig. 10). The Biot number causes reduction in magnitude of heat transfer coefficient on the upper wall. Here thermal conductivity decreases with an increase in which lessens the impact of heat transfer coefficient near positive side as depicted in Fig. 11. Reverse effect of Biot number has been observed in the region from Fig. 12 as heat transfer being directly related to Biot number dominates with an increase in which in turn increases the heat transfer distribution. Fig. 13 shows decrease in heat transfer coefficient with Hall parameter . Also in absence of Hall parameter the results are much more distinguished. The Hartman number is an increasing function of heat transfer coefficient as fluid viscosity decreases with an increase in . The less viscous fluid particles will move through gain of higher kinetic energy that causes rise in transfer of heat (see Fig. 14). The effects of Weissenberg number are displayed in Fig. 15. The obtained results show increase in transfer of heat when increases as speed of wave increases with an increase in that supports the transfer of heat. The increasing values of power law index show decline in heat transfer distribution (see Fig. 16).


Homogeneous-heterogeneous reactions in peristaltic flow with convective conditions.

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

Plot of heat transfer coefficient  for wall parameters  with , ,  and
© Copyright Policy
Related In: Results  -  Collection

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

pone-0113851-g009: Plot of heat transfer coefficient for wall parameters with , , and
Mentions: Figs. 9–16 demonstrate the influence of embedded parameters on the heat transfer coefficient The graphs signify the oscillatory behavior of because of the propagation of peristaltic waves. Fig. 9 reveals that magnitude of heat transfer coefficient increases for compliant wall parameters and . Since and describes the elastic nature of wall that offer less resistance to heat transfer. Increasing values of Brinkman number show similar behavior on heat transfer as of wall parameters. However the results obtained are much more distinguished in case of (see Fig. 10). The Biot number causes reduction in magnitude of heat transfer coefficient on the upper wall. Here thermal conductivity decreases with an increase in which lessens the impact of heat transfer coefficient near positive side as depicted in Fig. 11. Reverse effect of Biot number has been observed in the region from Fig. 12 as heat transfer being directly related to Biot number dominates with an increase in which in turn increases the heat transfer distribution. Fig. 13 shows decrease in heat transfer coefficient with Hall parameter . Also in absence of Hall parameter the results are much more distinguished. The Hartman number is an increasing function of heat transfer coefficient as fluid viscosity decreases with an increase in . The less viscous fluid particles will move through gain of higher kinetic energy that causes rise in transfer of heat (see Fig. 14). The effects of Weissenberg number are displayed in Fig. 15. The obtained results show increase in transfer of heat when increases as speed of wave increases with an increase in that supports the transfer of heat. The increasing values of power law index show decline in heat transfer distribution (see Fig. 16).

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