Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Axisymmetric flow of hybrid nanofluid due to a permeable non-linearly stretching/shrinking sheet with radiation effect

Axisymmetric flow of hybrid nanofluid due to a permeable non-linearly stretching/shrinking sheet... This paper aims to report theoretical and numerical results for the problem of laminar axisymmetric flow of hybrid nanofluid over a permeable non-linearly stretching/shrinking sheet with radiation effect.Design/methodology/approachThe numerical solutions of the arising boundary value problem are obtained using the function bvp4c from MATLAB for different values of the governing parameters.FindingsIt is found that the solutions of the ordinary (similarity) differential equations have two branches, upper and lower branch solutions, in a certain range of the stretching/shrinking and suction parameters. To establish which of these solutions are stable and which are not, a stability analysis has been performed.Originality/valueTo the best of the authors’ knowledge, present results are original and new for the study of fluid flow and heat transfer over a stretching/shrinking surface, as they successfully extend the problem considered by Mustafa et al. (2015) to the case of hybrid nanofluids. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat & Fluid Flow Emerald Publishing

Axisymmetric flow of hybrid nanofluid due to a permeable non-linearly stretching/shrinking sheet with radiation effect

Download PDF
17 pages

Loading next page...
 
/lp/emerald-publishing/axisymmetric-flow-of-hybrid-nanofluid-due-to-a-permeable-non-linearly-Exxs0W6Y5r
Publisher
Emerald Publishing
Copyright
© Emerald Publishing Limited
ISSN
0961-5539
DOI
10.1108/hff-09-2020-0574
Publisher site
See Article on Publisher Site

Abstract

This paper aims to report theoretical and numerical results for the problem of laminar axisymmetric flow of hybrid nanofluid over a permeable non-linearly stretching/shrinking sheet with radiation effect.Design/methodology/approachThe numerical solutions of the arising boundary value problem are obtained using the function bvp4c from MATLAB for different values of the governing parameters.FindingsIt is found that the solutions of the ordinary (similarity) differential equations have two branches, upper and lower branch solutions, in a certain range of the stretching/shrinking and suction parameters. To establish which of these solutions are stable and which are not, a stability analysis has been performed.Originality/valueTo the best of the authors’ knowledge, present results are original and new for the study of fluid flow and heat transfer over a stretching/shrinking surface, as they successfully extend the problem considered by Mustafa et al. (2015) to the case of hybrid nanofluids.

Journal

International Journal of Numerical Methods for Heat & Fluid Flow – Emerald Publishing

Published: Jul 6, 2021

Keywords: Stability analysis; Numerical solution; Axisymmetric flow; Non-linear stretching/shrinking sheet; Radiation effect

References

  • MHD flow and heat transfer over a permeable stretching/shrinking sheet in a hybrid nanofluid with a convective boundary condition
    Aly, E.H.; Pop, I.
  • Axisymmetric flow of a second grade fluid past a stretching sheet
    Ariel, S.D.
  • Axisymmetric flow due to a stretching sheet with partial slip
    Ariel, S.D.
  • State-of-art review on hybrid nanofluids
    Babu, J.R.; Kumar, K.K.; Rao, S.S.
  • Free convection of a hybrid nanofluid past a vertical plate embedded in a porous medium with anisotropic permeability
    Bibi, A.; Xu, H.; Sun, Q.; Pop, I.; Zhao, Q.
  • Free convection in an inclined cavity filled with a nanofluid and with sinusoidal temperature on the walls: Buongiorno’s mathematical model
    Cimpean, D.S.; Pop, I.
  • Flow past a stretching plate
    Crane, L.J.
  • Heat transfer enhancement of Cu–Al2O3/water hybrid nanofluid flow over a stretching sheet
    Devi, S.U.; Devi, S.P.A.
  • A novel hybridity model for TiO2-CuO/water hybrid nanofuid fow over a static/moving wedge or corner
    Dinarvand, S.; Rostami, M.N.; Pop, I.
  • Heat transfer over an exponentially stretching continuous surface with suction
    Elbashbeshy, E.M.A.
  • Viscous flow over an unsteady shrinking sheet with mass transfer
    Fang, T.-G.; Zhang, J.; Yao, S.-S.
  • Effect of the guess function and continuation method on the run time of MATLAB BVP solvers
    Gökhan, F.S.; Ionescu, C.M.
  • Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip
    Harris, S.D.; Ingham, D.B.; Pop, I.
  • Hybrid nanofluids for heat transfer applications – a state of-the-art review
    Huminic, G.; Huminic, A.
  • Dual solutions for mixed convection flow of SiO2−Al2O3/water hybrid nanofluid near the stagnation point over a curved surface
    Khan, M.R.; Pan, P.; Khan, A.U.; Nadeem, S.
  • Mixed convective non-linear radiative flow with TiO2-Cu-water hybrid nanomaterials and induced magnetic field
    Khan, A.S.; Khan, M.I.; Hayat, T.; Faisal Javed, M.; Alsaedi, A.
  • Mixed convective stagnation point flow towards a vertical Riga plate in
    Khashi’ie, N.S.; Arifin, N.M.; Pop, I.
  • Flow and heat transfer past a permeable power-law deformable plate with orthogonal shear in a hybrid nanofluid
    Khashi’ie, N.S.; Arifin, N.M.; Pop, I.; Nazar, R.; Hafidzuddin, E.H.; Wahi, N.
  • Three dimensional hybrid nanofluid flow and heat transfer past a permeable stretching/shrinking sheet with velocity slip and convective condition
    Khashi’ie, N.S.; Arifin, N.M.; Pop, I.; Nazar, R.; Hafidzuddin, E.H.; Wahi, N.
  • Axisymmetric flow of a nanofluid over a radially stretching sheet with convective boundary conditions
    Mustafa, M.; Hayat, T.; Alsaedi, A.
  • Analytical and numerical solutions for axisymmetric flow of nanofluid due to non-linearly stretching sheet
    Mustafa, M.; Khan, J.A.; Hayat, T.; Alsaedi, A.
  • Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids
    Oztop, H.F.; Abu-Nada, E.
  • Viscous flow over a non-linearly stretching sheet in the presence of a chemical reaction and magnetic field
    Raptis, A.; Perdikis, C.
  • Dual solutions for mixed convective stagnation- point flow of an aqueous silica –alumina hybrid nanofluid
    Rostami, N.M.; Dinarvand, S.; Pop, I.
  • Flow and heat transfer over a vertical permeable stretching/shrinking sheet with a second order slip
    Roşca, A.V.; Pop, I.
  • Mixed convection stagnation point flow past a vertical flat plate with a second order slip: heat flux case
    Roşca, N.C.; Pop, I.
  • Thermal conductivity of hybrid nanofluids: a critical review
    Sajid, M.U.; Ali, H.M.
  • A review on hybrid nanofluids: recent research development and applications
    Sarkar, J.; Ghosh, P.; Adil, A.
  • A comparative study on thermal conductivity of Al2O3/water, CuO/water and Al2O3–CuO/water nanofuids
    Senthilaraja, S.; Vijayakumar, K.; Ganadevi, R.
  • On the exact solution for axisymmetric flow and heat transfer over a non-linear radially stretching sheet
    Shahzad, A.; Ali, R.; Khan, M.
  • Recent progress on hybrid nanofluids in heat transfer applications: a comprehensive review
    Sidik, N.A.C.; Adamu, I.M.; Jamil, M.M.; Kefayati, G.H.R.; Mamat, R.; Najafi, G.
  • Hybrid nanofluids preparation, thermal properties, heat transfer and friction factor – a review
    Sundar, L.S.; Sharma, K.V.; Singh, M.K.; Sousa, A.C.M.
  • Effect of Al2O3–Cu/water hybrid nanofluid in heat transfer
    Suresh, S.
  • Augmentation of the heat transfer performance of a sinusoidal corrugated enclosure by employing hybrid nanofluid
    Takabi, B.; Salehi, S.
  • Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids
    Tiwari, R.K.; Das, M.K.
  • Viscous flow over a nonlinearly stretching sheet
    Vajravelu, K.
  • Transpiration effects on hybrid nanofluid flow and heat transfer over a stretching/shrinking sheet with uniform shear flow
    Waini, I.; Ishak, A.; Pop, I.
  • Mixed convection of a hybrid nanofluid flow along a vertical surface embedded in a porous medium
    Waini, I.; Ishak, A.; Pop, I.
  • Hybrid nanofluid flow past a permeable moving thin needle
    Waini, I.; Ishak, A.; Pop, I.
  • Hybrid nanofluid flow and heat transfer over a permeable biaxial stretching/shrinking sheet
    Waini, I.; Ishak, A.; Pop, I.
  • The effect of transpiration on self-similar boundary layer flow over moving surfaces
    Weidman, P.D.; Kubitschek, D.G.; Davis, A.M.J.