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Research Papers: Heat and Mass Transfer

Peristaltic Motion of Nanofluid in a Curved Channel

[+] Author and Article Information
Sadia Hina

Department of Mathematical Sciences,
Fatima Jinnah Women University,
Rawalpindi 46000, Pakistan

Meraj Mustafa

School of Natural Sciences (SNS),
National University of Sciences and
Technology (NUST),
Islamabad 44000, Pakistan
e-mail: meraj_mm@hotmail.com

Saeid Abbasbandy

Department of Mathematics,
Imam Khomeini International University,
Ghazvin 34149-16818, Iran

Tasawar Hayat

Department of Mathematics,
Quaid-I-Azam University 45320,
Islamabad 44000, Pakistan;
Nonlinear Analysis and Applied Mathematics
(NAAM) Research Group,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia

A. Alsaedi

Nonlinear Analysis and Applied Mathematics
(NAAM) Research Group,
King Abdulaziz University,
Jeddah 21589, Saudi Arabia

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 7, 2012; final manuscript received September 21, 2013; published online February 26, 2014. Assoc. Editor: Giulio Lorenzini.

J. Heat Transfer 136(5), 052001 (Feb 26, 2014) (7 pages) Paper No: HT-12-1543; doi: 10.1115/1.4026168 History: Received October 07, 2012; Revised September 21, 2013

This article describes the peristaltic transport of nanofluids in a curved channel. Transport equations contain the simultaneous effects of Brownian motion and thermophoretic diffusion of nanoparticles. The governing equations are modeled. Mathematical analysis is performed subject to long wavelength and low Reynolds number assumptions. Numerical solutions are obtained by employing shooting method. Results indicate an increase in the pumping rate when the strengths of Brownian motion and thermophoresis effects are increased. It is observed that the profiles of temperature and nanoparticles concentration are not symmetric about the central line of the curved channel which is different from the case of planar channel.

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References

Figures

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Fig. 1

Geometry of the problem

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Fig. 2

Pressure rise per wavelength Δpλ for different values of Nb, Nt, and k

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Fig. 3

Temperature profiles for different values of parameters when x=0.2

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Fig. 4

Nanoparticles concentration profiles for different values of parameters when x=0.2

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