Peristalsis of nanofluid through curved channel with Hall and Ohmic heating effects

Abstract

Nanofluids have attracted many scientists due to their remarkable thermophysical properties. Small percentage of nanoparticles when added to conventional fluid significantly enhances the heat transfer features. Sustainability and efficiency of nanomaterials have key role in the advancement of nanotechnology. This article analyzes the Hall, Ohmic heating and velocity slip effects on the peristalsis of nanofluid. Convective boundary conditions and heat generation/absorption are considered to facilitate the heat transfer characteristics. Governing equations for the peristaltic flow through a curved channel are derived in curvilinear coordinates. The equations are numerically solved under the assumption of long wavelength and small Reynold number. It has been observed that nanofluid enhances the heat transfer rate and reduces the fluid temperature. Hartman number and Hall parameter show reverse behavior in fluid motion and heat transfer characteristics. In the presence of velocity slip, the pressure gradient rapidly decreases and dominant effect is seen in narrow portion of channel.

Keywords

peristalsis / nanofluid / Hall and Ohmic heating effects / convective boundary condition / velocity slip effects

References

[1] ChoiS U S. Enhancing thermal conductivity of fluids with nanoparticles [J]. ASME Fluids Eng Div, 1995, 231: 99-105

[2] HayatT, AhmedB A, AbbasiF M, AlsaediA. Hydromagnetic peristalsis of water based nanofluids with temperature dependent viscosity: A comparative study [J]. Journal of Molecular Liquids, 2017, 234: 324-329

[3] BrinkmanH C. The viscosity of concentrated suspensions and solutions [J]. J Chem Phys, 1952, 20: 571-581

[4] DongS, ZhengL, ZhangX, LinP. Improved drag force model and its application in simulating nanofluid flow [J]. Microfluid Nanofluid, 2014, 17: 253-261

[5] SheikholeslamiaM, EllahiR, VafaiK. Study of Fe3O4-water nanofluid with convective heat transfer in the presence of magnetic source [J]. Alexandria Engineering Journal, 2018, 57: 565-575

[6] AliabadiM K, PazdarS, SartipzadehO. Experimental investigation of water based nanofluid containing copper nanoparticles across helical microtubes [J]. International Communications in Heat and Mass Transfer, 2016, 70: 84-92

[7] FeizabadiA, AliabadiM K, RahimiA B. Numerical investigation on Al2O3/water nanofluid flow through twisted-serpentine tube with empirical validation [J]. Applied Thermal Engineering, 2018, 137: 296-309

[8] Yi-minX, QiangL. Heat transfer enhancement of nanofuids [J]. International Journal of Heat and Fluid Flow, 2000, 21: 58-64

[9] AliabadiM K, AlizadehA. An experimental study of Cu-water nanofluid flow inside serpentine tubes with variable straight-section lengths [J]. Experimental Thermal and Fluid Science, 2015, 61: 1-11

[10] AliabadiM K, RadbS E H, HormoziF. Al2O3-water nanofluid inside wavy mini-channel with different cross-sections [J]. Journal of the Taiwan Institute of Chemical Engineers, 2016, 58: 8-18

[11] AliabadiM K, NouriM, SartipzadehO, SalamiM. Performance of agitated serpentine heat exchanger using metallic nanofluids [J]. Chemical Engineering Research and Design, 2016, 109: 53-64

[12] MaxwellJ CA treatise on electricity and magnetism [M], 19042nd EditionCambridge, Oxford University Press: 435441

[13] ShehzadS A, TariqH, HayatT, RamzanM, AlsaediA. Boundary layer flow of third grade nanofluid with Newtonian heating and viscous dissipation [J]. Journal of Central South University, 2015, 22(1): 360-367

[14] ur RehmanK, MalikA A, TahirM, MalikM Y. Undersized description on motile gyrotactic micro-organisms individualities in MHD stratified water-based Newtonian nanofluid [J]. Results in Physics, 2018, 8: 981-987

[15] ZhangC, ZhengL, ZhangX, ChenG. MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction [J]. Applied Mathematical Modelling, 2015, 39: 165-181

[16] EllahiR, HassanM, ZeeshanA. Shape effects of nanosize particles in Cu-H₂O nanofluid on entropy generation [J]. International Journal Heat and Mass Transfer, 2015, 81: 449-456

[17] SheikholeslamiM, HayatT, AlsaediA. Numerical simulation of nanofluid forced convection heat transfer improvement in existence of magnetic field using lattice Boltzmann method [J]. Int J Heat and Mass Transfer, 2017, 108: 1870-1883

[18] ul HaqR, NadeemS, KhanZ H, NoorN F M. MHD squeezed flow of water functionalized metallic nanoparticles over a sensor surface [J]. Physica E: Low-dimensional Systems and Nanostructures, 2015, 73: 45-53

[19] HayatT, AzizA, MuhammadT, AhmadB. Influence of magnetic field in three-dimensional flow of couple stress nanofluid over a nonlinearly stretching surface with convective condition [J]. PloS One, 2015, 10: e0145332

[20] HayatT, AzizA, MuhammadT, AlsaediA. On model for flow of Burgers nanofluid with Cattaneo-Christov double diffusion [J]. Chinese Journal of Physics, 2017, 55916-929

[21] HayatT, BilalA, AbbasiF M, AhmadB. Mixed convective peristaltic flow of carbon nanotubes submerged in water using different thermal conductivity models [J]. Computer Methods and Programs in Biomedicine, 2016, 135: 141-150

[22] AliN, SajidM, JavedT, AbbasZ. Heat transfer analysis of peristaltic flow in a curved channel [J]. International Journal of Heat and Mass Transfer, 2017, 53: 3319-3325

[23] AbbasiF M, HayatT, ShehzadS A, AlsaadiF, AltoaibiN. Hydromagnetic peristaltic transport of copper-water nanofluid with temperature-dependent effective viscosity [J]. Particuology, 2016, 27: 133-140

[24] AbbasiF M, HayatT, AlsaediA. Peristaltic transport of magneto-nanoparticles submerged in water: Model for drug delivery system [J]. Physica E, 2015, 68: 123-132

[25] AbbasiF M, HayatT, AhmadB. Peristalsis of silverwater nanofluid in the presence of Hall and Ohmic heating J. Cent. South Univ., 2019, 26: 2543-2553

[26] HayatT, AhmedB, AbbasiF M, AlsaediA. Flow of carbon nanotubes submerged in water through a channel with wavy walls with convective boundary conditions [J]. Colloid Polymer Science, 2017, 295: 1905-1914

[27] MakindeO D, AzizA. Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition [J]. International Journal of Thermal Sciences, 2011, 50: 1326-1332

[28] ShehzadS A, AbbasiF M, HayatT, AlsaadiF, MousaG. Peristalsis in a curved channel with slip condition and radial magnetic field [J]. International Journal of Heat and Mass Transfer, 2015, 91: 562-569

[29] TanveerA, HayatT, AlsaediA, AhmadB. On modified Darcy's law utilization in peristalsis of Sisko fluid [J]. J Mol Liquids, 2017, 236: 290-297

[30] TanveerA, HayatT, AlsaadiF, AlsaediA. Mixed convection peristaltic flow of Eyring-Powell nanofluid in a curved channel with compliant walls [J]. Computers in Biology and Medicine, 2017, 82: 71-79

[31] AliN, JavidK, SajidM, ZamanA, HayatT. Numerical simulation of Oldroyd 8-constant fluid flow and heat transfer in a curved channel [J]. International Journal of Heat and Mass Transfer, 2016, 94: 500-508

[32] HinaS, MustafaM, HayatT, AlsaediA. Peristaltic transport of Powell-Eyring fluid in a curved channel with heat/mass transfer and wall properties [J]. International Journal of Heat and Mass Transfer, 2016, 101: 156-165

[33] HayatT, FarooqS, AlsaediA. Mixed convection peristaltic motion of copper-water nanomaterial with velocity slip effects in a curved channel [J]. Computer Methods and Programs in Biomedicine, 2017, 142: 117-128