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Thermally developing MHD peristaltic transport of nanofluids with velocity and thermal slip effects

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Abstract.

We investigate the velocity slip and thermal slip effects on peristaltically driven thermal transport of nanofluids through the vertical parallel plates under the influence of transverse magnetic field. The wall surface is propagating with sinusoidal wave velocity c. The flow characteristics are governed by the mass, momentum and energy conservation principle. Low Reynolds number and large wavelength approximations are taken into consideration to simplify the non-linear terms. Analytical solutions for axial velocity, temperature field, pressure gradient and stream function are obtained under certain physical boundary conditions. Two types of nanoparticles, SiO2 and Ag, are considered for analysis with water as base fluid. This is the first article in the literature that discusses the SiO2 and Ag nanoparticles for a peristaltic flow with variable viscosity. The effects of physical parameters on velocity, temperature, pressure and trapping are discussed. A comparative study of SiO2 nanofluid, Ag nanofluid and pure water is also presented. This model is applicable in biomedical engineering to make thermal peristaltic pumps and other pumping devices like syringe pumps, etc. It is observed that pressure for pure water is maximum and pressure for Ag nanofluid is minimum.

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Authors and Affiliations

  1. DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan

    Noreen Sher Akbar

  2. Mathematics & Statistics Department, Riphah International University I-14, Islamabad, Pakistan

    A. Bintul Huda

  3. Department of Mechanical Engineering, Manipal University Jaipur, 303007, Rajasthan, India

    D. Tripathi

Authors
  1. Noreen Sher Akbar
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  2. A. Bintul Huda
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  3. D. Tripathi
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Correspondence to A. Bintul Huda.

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Sher Akbar, N., Bintul Huda, A. & Tripathi, D. Thermally developing MHD peristaltic transport of nanofluids with velocity and thermal slip effects. Eur. Phys. J. Plus 131, 332 (2016). https://doi.org/10.1140/epjp/i2016-16332-y

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  • DOI: https://doi.org/10.1140/epjp/i2016-16332-y

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