The Effect of Navier Slip and Skin Friction on Nanofluid Flow in a Porous Pipe

Authors

  • W. N. Muyungi School of Computational and Communication Science and Engineering, Nelson Mandela African Institution of Science and Technology, Tanzania
  • M. H. Mkwizu Department of Mathematics and Statistics, Sokoine University of Agriculture, Tanzania
  • V. G. Masanja Department of Applied Mathematics and Computational Science (AMCS), Nelson Mandela African Institution of Science and Technology Tanzania (NM-AIST), Tanzania

Abstract

The flow of nanofluids through a porous medium is considered the optimum method for convective heat transfer. In this study, nanofluid flow in a porous pipe with Navier slip is investigated. Two water-based nanofluids, Copper (Cu) and alumina (Al2O3), were considered. The governing equation is presented and non-dimensionalization has been done for momentum and energy equations, initial and boundary conditions, skin friction, and Nusselt number. The governing system was simplified to ordinary differential equations, which were numerically solved and a mathematical model of nanofluid flow was formulated. The results, with regard to variations in various parameters such as temperature, velocity, skin friction, and Nusselt number, are presented graphically and discussed. It was found that the velocity during the flow decreases with the increase of the Navier slip.

Keywords:

Navier slip, Skin friction, Nanofluid, Porous Pipe

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References

M. E. Erdogan and C. E. Imrak, "On the flow in a uniformly porous pipe," International Journal of Non-Linear Mechanics, vol. 43, no. 4, pp. 292–301, Feb. 2008. DOI: https://doi.org/10.1016/j.ijnonlinmec.2007.12.006

A. Kasaeian et al., "Nanofluid flow and heat transfer in porous media: A review of the latest developments," International Journal of Heat and Mass Transfer, vol. 107, pp. 778–791, Dec. 2017. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2016.11.074

S. U. S. Choi and J. A. Eastman, "Enhancing thermal conductivity of fluids with nanoparticles," in International Mechanical Engineering Congress and Exhibition, San Francisco, CA, USA, Nov. 1995.

N. A. Rawi, A. R. Mohd Kasim, Z. Mat Isa, A. Mangi, and S. Shafie, "G-jitter effects on the mixed convection flow of nanofluid past an inclined stretching sheet," Frontiers in Heat and Mass Transfer, vol. 8, 2017, Art. no. 12. DOI: https://doi.org/10.5098/hmt.8.12

M. H. Mkwizu, O. D. Makinde, and Y. Nkansah-Gyekye, "Effects of Navier Slip and Wall Permeability on Entropy Generation in Unsteady Generalized Couette Flow of Nanofluids With Convective Cooling," UPB Scientific Bulletin, vol. 77, no. 4, pp. 201–216, 2015.

M. Danikas, "Breakdown in Nanofluids: A Short Review on Experimental Results and Related Mechanisms," Engineering, Technology & Applied Science Research, vol. 8, no. 5, pp. 3300–3309, Oct. 2018. DOI: https://doi.org/10.48084/etasr.2136

S. A. Khamis, "Analysis and Simulation of Nanofluid Flow and Heat Transfer in a Porous Pipe," Ph.D. dissertation, The Nelson Mandela AFrican Institution of Science and Technology, Arusha, Tanzania, 2016.

W. N. Mutuku-Njane and O. D. Makinde, "Combined Effect of Buoyancy Force and Navier Slip on MHD Flow of a Nanofluid over a Convectively Heated Vertical Porous Plate," The Scientific World Journal, vol. 2013, Oct. 2013, Art. no. e725643. DOI: https://doi.org/10.1155/2013/725643

M. Elashmawy, A. A. A. A. Al-Rashed, L. Kolsi, I. Badawy, N. B. Ali, and S. S. Ali, "Heat Transfer and Fluid Flow in Naturally Ventilated Greenhouses," Engineering, Technology & Applied Science Research, vol. 7, no. 4, pp. 1850–1854, Aug. 2017. DOI: https://doi.org/10.48084/etasr.1269

A. Latreche and M. Djezzar, "Numerical Study of Natural Convective Heat and Mass Transfer in an Inclined Porous Media," Engineering, Technology & Applied Science Research, vol. 8, no. 4, pp. 3223–3227, Aug. 2018. DOI: https://doi.org/10.48084/etasr.2179

H. A. Fakhim, "An Investigation of the Effect of Different Nanofluids in a Solar Collector," Engineering, Technology & Applied Science Research, vol. 7, no. 4, pp. 1741–1745, Aug. 2017. DOI: https://doi.org/10.48084/etasr.1283

K. A. Flack, M. P. Schultz, J. M. Barros, and Y. C. Kim, "Skin-friction behavior in the transitionally-rough regime," International Journal of Heat and Fluid Flow, vol. 61, pp. 21–30, Jul. 2016. DOI: https://doi.org/10.1016/j.ijheatfluidflow.2016.05.008

J. Eijkel, "Liquid slip in micro- and nanofluidics: recent research and its possible implications," Lab on a Chip, vol. 7, no. 3, pp. 299–301, Mar. 2007. DOI: https://doi.org/10.1039/b700364c

C. Y. Wang and C.-O. Ng, "Slip flow due to a stretching cylinder," International Journal of Non-Linear Mechanics, vol. 46, no. 9, pp. 1191–1194, Aug. 2011. DOI: https://doi.org/10.1016/j.ijnonlinmec.2011.05.014

T. Sochi, "Slip at Fluid-Solid Interface," Polymer Reviews, vol. 51, no. 4, pp. 309–340, Jul. 2011. DOI: https://doi.org/10.1080/15583724.2011.615961

K. A. Nair and A. Sameen, "Experimental Study of Slip Flow at the Fluid-porous Interface in a Boundary Layer Flow," Procedia IUTAM, vol. 15, pp. 293–299, Jan. 2015. DOI: https://doi.org/10.1016/j.piutam.2015.04.041

S. Hussain, A. Aziz, T. Aziz, and C. M. Khalique, "Slip Flow and Heat Transfer of Nanofluids over a Porous Plate Embedded in a Porous Medium with Temperature Dependent Viscosity and Thermal Conductivity," Applied Sciences, vol. 6, no. 12, Dec. 2016, Art. no. 376. DOI: https://doi.org/10.3390/app6120376

K. Bhatti, Z. Bano, and A. M. Siddiqui, "Unsteady Stokes Flow through Porous Channel with Periodic Suction and Injection with Slip Conditions," European Journal of Pure and Applied Mathematics, vol. 11, no. 4, pp. 937–945, Oct. 2018. DOI: https://doi.org/10.29020/nybg.ejpam.v11i4.3309

A. K. Pandey and M. Kumar, "Natural convection and thermal radiation influence on nanofluid flow over a stretching cylinder in a porous medium with viscous dissipation," Alexandria Engineering Journal, vol. 56, no. 1, pp. 55–62, Nov. 2017. DOI: https://doi.org/10.1016/j.aej.2016.08.035

A. K. Pandey and M. Kumar, "Boundary layer flow and heat transfer analysis on Cu-water nanofluid flow over a stretching cylinder with slip," Alexandria Engineering Journal, vol. 56, no. 4, pp. 671–677, Sep. 2017. DOI: https://doi.org/10.1016/j.aej.2017.01.017

D. M. Kalyon, "Apparent slip and viscoplasticity of concentrated suspensions," Journal of Rheology, vol. 49, no. 3, pp. 621–640, Feb. 2005. DOI: https://doi.org/10.1122/1.1879043

J. Wang, J. Zhu, X. Zhang, and Y. Chen, "Heat transfer and pressure drop of nanofluids containing carbon nanotubes in laminar flows," Experimental Thermal and Fluid Science, vol. 44, pp. 716–721, Jan. 2013. DOI: https://doi.org/10.1016/j.expthermflusci.2012.09.013

H. F. Oztop and E. Abu-Nada, "Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids," International Journal of Heat and Fluid Flow, vol. 29, no. 5, pp. 1326–1336, Jul. 2008. DOI: https://doi.org/10.1016/j.ijheatfluidflow.2008.04.009

K. W. Morton and D. F. Mayers, Numerical Solution of Partial Differential Equations. New York, NY, USA: Cambridge University Press, 2005. DOI: https://doi.org/10.1017/CBO9780511812248

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How to Cite

[1]
Muyungi, W.N., Mkwizu, M.H. and Masanja, V.G. 2022. The Effect of Navier Slip and Skin Friction on Nanofluid Flow in a Porous Pipe. Engineering, Technology & Applied Science Research. 12, 2 (Apr. 2022), 8342–8348. DOI:https://doi.org/10.48084/etasr.4763.

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