# Peristaltic flow and heat transfer of nanofluids in a sinusoidal wall channel: two-phase analytical study

Peristaltic flow and heat transfer of nanofluids in a sinusoidal wall channel: two-phase... In this study, two-phase peristaltic nanofluid flow in two-dimensional wavy channel is modeled and the heat transfer analysis is performed for it. Both upper and lower channel walls are considered in a wavy shape by sinusoidal function. The governing equations are presented for the nanofluid based on the Buongiorno model and two analytical methods (least square method and differential transformation method). Maple 15.0 mathematical software is applied as the efficient solution methods for the governing equation. The effect of some parameters present in the governing equations (Brownian motion parameter, thermophoresis parameters, Grashof num- bers and amplitude ratio of wavy channel), are discussed in terms of velocities, temperature and nanoparticles concentration functions. An important finding in this study is that, in order to have more nanoparticles concentration around the sinusoi- dal walls, thermophoresis parameter must be in lower values and vice versa. Keywords Sinusoidal channel · Nanofluid · Nanoparticle concentration · Least square method · Differential transformation method Mathematics Subject Classification 35: partial differential equations List of symblos a Half width of the channel b Wave amplitude c Velocity of the wave D Diffusion coefficient * M. Hatami m.hatami2010@gmail.com; m.hatami@xjtu.edu.cn Department of Mechanical Engineering, Esfarayen University of Technology, Esfarayen, North Khorasan, Iran International Research Center for Renewable Energy, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

# Peristaltic flow and heat transfer of nanofluids in a sinusoidal wall channel: two-phase analytical study

, Volume OnlineFirst – Nov 24, 2018
17 pages

/lp/springer-journals/peristaltic-flow-and-heat-transfer-of-nanofluids-in-a-sinusoidal-wall-InVUoijoAb
Publisher
Springer Journals
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-018-0154-x
Publisher site
See Article on Publisher Site

### Abstract

In this study, two-phase peristaltic nanofluid flow in two-dimensional wavy channel is modeled and the heat transfer analysis is performed for it. Both upper and lower channel walls are considered in a wavy shape by sinusoidal function. The governing equations are presented for the nanofluid based on the Buongiorno model and two analytical methods (least square method and differential transformation method). Maple 15.0 mathematical software is applied as the efficient solution methods for the governing equation. The effect of some parameters present in the governing equations (Brownian motion parameter, thermophoresis parameters, Grashof num- bers and amplitude ratio of wavy channel), are discussed in terms of velocities, temperature and nanoparticles concentration functions. An important finding in this study is that, in order to have more nanoparticles concentration around the sinusoi- dal walls, thermophoresis parameter must be in lower values and vice versa. Keywords Sinusoidal channel · Nanofluid · Nanoparticle concentration · Least square method · Differential transformation method Mathematics Subject Classification 35: partial differential equations List of symblos a Half width of the channel b Wave amplitude c Velocity of the wave D Diffusion coefficient * M. Hatami m.hatami2010@gmail.com; m.hatami@xjtu.edu.cn Department of Mechanical Engineering, Esfarayen University of Technology, Esfarayen, North Khorasan, Iran International Research Center for Renewable Energy,

### Journal

The Journal of AnalysisSpringer Journals

Published: Nov 24, 2018

### References

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