Skip to main content
Top
Published in: Arabian Journal for Science and Engineering 3/2021

30-09-2020 | Research Article-Mechanical Engineering

Filtration of Radiating and Reacting SWCNT–MWCNT/Water Hybrid Flow with the Significance of Darcy–Forchheimer Porous Medium

Authors: S. Suganya, M. Muthtamilselvan, Fahad Al-Amri, Bahaaeldin Abdalla, Deog-Hee Doh

Published in: Arabian Journal for Science and Engineering | Issue 3/2021

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Present study attentions on modeling of an unsteady fluctuating and higher-order chemically reacting hybrid nanofluid (SWCNT–MWCNT/water) flow with the influence of heat absorption/generation and nonlinear thermal radiation. The flow is induced in rotating coordinates through an oscillating permeable stretching surface. Disruption in permeable surface has been illustrated by Darcy Forchheimer (DF) expression. The multiple slips have been analyzed considering its significance in many biological processes and controlling the heat transport phenomena. Relevant thermo-physical properties of hybrid nanofluid are carried out. The emerging physical governing system of dimensional partial differential equations is transformed into non-dimensional partial differential equations using appropriate variables. The dimensionless PDEs are numerically solved using conditionally stable explicit finite difference method and the algorithm is presented. In addition, the convergence and stability conditions were also derived. The consequence of temperature, concentration and velocity profiles in the boundary layer zone is calculated intensely, and the results are displayed visual image with the domination of different admissible constant quantities. Furthermore, the impact on Nusselt number \((\mathrm{Nu}_X)\), Sherwood number (Sh) and skin friction constant quantity \((\mathrm{Cf}_X,\mathrm{Cf}_Y)\) are also inspected through tables.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Bhatti, M.M.; Mishra, S.R.; Abbas, T.; Rashidi, M.M.: A mathematical model of MHD nanofluid flow having gyrotactic microorganisms with thermal radiation and chemical reaction effects. Neural Comput. Appl. 30(4), 1237–1249 (2018)CrossRef Bhatti, M.M.; Mishra, S.R.; Abbas, T.; Rashidi, M.M.: A mathematical model of MHD nanofluid flow having gyrotactic microorganisms with thermal radiation and chemical reaction effects. Neural Comput. Appl. 30(4), 1237–1249 (2018)CrossRef
2.
go back to reference Akbar, N.S.; Nadeem, S.; Ul Haq, R.; Khan, Z.H.: Radiation effects on MHD stagnation point flow of nano fluid towards a stretching surface with convective boundary condition. Chin. J. Aeronaut. 26(6), 1389–1397 (2013)CrossRef Akbar, N.S.; Nadeem, S.; Ul Haq, R.; Khan, Z.H.: Radiation effects on MHD stagnation point flow of nano fluid towards a stretching surface with convective boundary condition. Chin. J. Aeronaut. 26(6), 1389–1397 (2013)CrossRef
3.
go back to reference Hayat, T.; Imtiaz, M.; Alsaedi, A.; Kutbi, M.A.: MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation. J. Magn. Magn. Mater. 396, 31–37 (2015)CrossRef Hayat, T.; Imtiaz, M.; Alsaedi, A.; Kutbi, M.A.: MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation. J. Magn. Magn. Mater. 396, 31–37 (2015)CrossRef
4.
go back to reference Ijaz, M.; Ayub, M.; Khan, H.: Entropy generation and activation energy mechanism in nonlinear radiative flow of Sisko nanofluid: rotating disk. Heliyon 5(6), e01863 (2019)CrossRef Ijaz, M.; Ayub, M.; Khan, H.: Entropy generation and activation energy mechanism in nonlinear radiative flow of Sisko nanofluid: rotating disk. Heliyon 5(6), e01863 (2019)CrossRef
5.
go back to reference Jyothi, K.; Sudarsana Reddy, P.; Suryanarayana Reddy, M.: Influence of magnetic field and thermal radiation on convective flow of SWCNTs-water and MWCNTs-water nanofluid between rotating stretchable disks with convective boundary conditions. Powder Technol. 331, 326–337 (2018)CrossRef Jyothi, K.; Sudarsana Reddy, P.; Suryanarayana Reddy, M.: Influence of magnetic field and thermal radiation on convective flow of SWCNTs-water and MWCNTs-water nanofluid between rotating stretchable disks with convective boundary conditions. Powder Technol. 331, 326–337 (2018)CrossRef
6.
go back to reference Li, Z.; Saleem, S.; Shafee, A.; Chamkha, A.J.; Du, S.: Analytical investigation of nanoparticle migration in a duct considering thermal radiation. J. Therm. Anal. Calorim. 135(3), 1629–1641 (2019)CrossRef Li, Z.; Saleem, S.; Shafee, A.; Chamkha, A.J.; Du, S.: Analytical investigation of nanoparticle migration in a duct considering thermal radiation. J. Therm. Anal. Calorim. 135(3), 1629–1641 (2019)CrossRef
7.
go back to reference Khan, W.A.; Khan, M.; Malik, R.: Three-dimensional flow of an Oldroyd-B nanofluid towards stretching surface with heat generation/absorption. PLoS ONE 9(8), 1–14 (2014) Khan, W.A.; Khan, M.; Malik, R.: Three-dimensional flow of an Oldroyd-B nanofluid towards stretching surface with heat generation/absorption. PLoS ONE 9(8), 1–14 (2014)
8.
go back to reference Arifuzzaman, S.M.; Khan, M.S.; Mehedi, M.F.; Rana, B.M.; Ahmmed, S.F.: Chemically reactive and naturally convective high speed MHD fluid flow through an oscillatory vertical porous plate with heat and radiation absorption effect. Eng. Sci. Technol. Int. J. 21(2), 215–228 (2018) Arifuzzaman, S.M.; Khan, M.S.; Mehedi, M.F.; Rana, B.M.; Ahmmed, S.F.: Chemically reactive and naturally convective high speed MHD fluid flow through an oscillatory vertical porous plate with heat and radiation absorption effect. Eng. Sci. Technol. Int. J. 21(2), 215–228 (2018)
9.
go back to reference Ibáñez, G.; López, A.; Pantoja, J.; Moreira, J.: Entropy generation analysis of a nanofluid flow in MHD porous microchannel with hydrodynamic slip and thermal radiation. Int. J. Heat Mass Transf. 100, 89–97 (2016)CrossRef Ibáñez, G.; López, A.; Pantoja, J.; Moreira, J.: Entropy generation analysis of a nanofluid flow in MHD porous microchannel with hydrodynamic slip and thermal radiation. Int. J. Heat Mass Transf. 100, 89–97 (2016)CrossRef
10.
go back to reference Bhatti, M.M.; Shahid, A.; Rashidi, M.M.: Numerical simulation of fluid flow over a shrinking porous sheet by successive linearization method. Alex. Eng. J. 55(1), 51–56 (2016)CrossRef Bhatti, M.M.; Shahid, A.; Rashidi, M.M.: Numerical simulation of fluid flow over a shrinking porous sheet by successive linearization method. Alex. Eng. J. 55(1), 51–56 (2016)CrossRef
11.
go back to reference Freidoonimehr, N.; Rashidi, M.M.; Mahmud, S.: Unsteady MHD free convective flow past a permeable stretching vertical surface in a nano-fluid. Int. J. Therm. Sci. 87, 136–145 (2015)CrossRef Freidoonimehr, N.; Rashidi, M.M.; Mahmud, S.: Unsteady MHD free convective flow past a permeable stretching vertical surface in a nano-fluid. Int. J. Therm. Sci. 87, 136–145 (2015)CrossRef
12.
go back to reference Khan, W.A.; Pop, I.: Boundary-layer flow of a nanofluid past a stretching sheet. Int. J. Heat Mass Transf. 53(11–12), 2477–2483 (2010)CrossRef Khan, W.A.; Pop, I.: Boundary-layer flow of a nanofluid past a stretching sheet. Int. J. Heat Mass Transf. 53(11–12), 2477–2483 (2010)CrossRef
13.
go back to reference Cimolin, F.; Discacciati, M.: Navier–Stokes/Forchheimer models for filtration through porous media. Appl. Numer. Math. 72, 205–224 (2013)MathSciNetCrossRef Cimolin, F.; Discacciati, M.: Navier–Stokes/Forchheimer models for filtration through porous media. Appl. Numer. Math. 72, 205–224 (2013)MathSciNetCrossRef
14.
go back to reference Muhammad, T.; Lu, D.C.; Mahanthesh, B.; Eid, M.R.; Ramzan, M.; Dar, A.: Significance of Darcy–Forchheimer porous medium in nanofluid through carbon nanotubes. Commun. Theor. Phys. 70(3), 361–366 (2018)MathSciNetCrossRef Muhammad, T.; Lu, D.C.; Mahanthesh, B.; Eid, M.R.; Ramzan, M.; Dar, A.: Significance of Darcy–Forchheimer porous medium in nanofluid through carbon nanotubes. Commun. Theor. Phys. 70(3), 361–366 (2018)MathSciNetCrossRef
15.
go back to reference Gopal, D.; Kishan, N.; Raju, C.S.: Viscous and Joule’s dissipation on Casson fluid over a chemically reacting stretching sheet with inclined magnetic field and multiple slips. Inform. Med. Unlocked 9(June), 154–160 (2017)CrossRef Gopal, D.; Kishan, N.; Raju, C.S.: Viscous and Joule’s dissipation on Casson fluid over a chemically reacting stretching sheet with inclined magnetic field and multiple slips. Inform. Med. Unlocked 9(June), 154–160 (2017)CrossRef
16.
go back to reference Chand, K.; Kumar, R.: Hall effect on heat and mass transfer in the flow of oscillating viscoelastic fluid through porous medium with wall slip conditions. Indian J. Pure Appl. Phys. 50(3), 149–155 (2012)MathSciNet Chand, K.; Kumar, R.: Hall effect on heat and mass transfer in the flow of oscillating viscoelastic fluid through porous medium with wall slip conditions. Indian J. Pure Appl. Phys. 50(3), 149–155 (2012)MathSciNet
17.
go back to reference Malvandi, A.; Hedayati, F.; Ganji, D.D.: Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet. Powder Technol. 253, 377–384 (2014)CrossRef Malvandi, A.; Hedayati, F.; Ganji, D.D.: Slip effects on unsteady stagnation point flow of a nanofluid over a stretching sheet. Powder Technol. 253, 377–384 (2014)CrossRef
18.
go back to reference Khan, M.; Malik, M.Y.; Salahuddin, T.; Khan, F.: Generalized diffusion effects on Maxwell nanofluid stagnation point flow over a stretchable sheet with slip conditions and chemical reaction. J. Braz. Soc. Mech. Sci. Eng. 41(3), 138 (2019)CrossRef Khan, M.; Malik, M.Y.; Salahuddin, T.; Khan, F.: Generalized diffusion effects on Maxwell nanofluid stagnation point flow over a stretchable sheet with slip conditions and chemical reaction. J. Braz. Soc. Mech. Sci. Eng. 41(3), 138 (2019)CrossRef
19.
go back to reference Pal, D.; Chatterjee, S.: Heat and mass transfer in MHD non-Darcian flow of a micropolar fluid over a stretching sheet embedded in a porous media with non-uniform heat source and thermal radiation. Commun. Nonlinear Sci. Numer. Simul. 15(7), 1843–1857 (2010)CrossRef Pal, D.; Chatterjee, S.: Heat and mass transfer in MHD non-Darcian flow of a micropolar fluid over a stretching sheet embedded in a porous media with non-uniform heat source and thermal radiation. Commun. Nonlinear Sci. Numer. Simul. 15(7), 1843–1857 (2010)CrossRef
20.
go back to reference Andrade, J.; Costa, U.M.; Almeida, J.S.; Makse, H.A.; Stanley, H.E.: Inertial effects on fluid flow through disordered porous media. Physica A 266(1–4), 420–424 (1999) Andrade, J.; Costa, U.M.; Almeida, J.S.; Makse, H.A.; Stanley, H.E.: Inertial effects on fluid flow through disordered porous media. Physica A 266(1–4), 420–424 (1999)
21.
go back to reference Zeng, Z.; Grigg, R.: A criterion for non-Darcy flow in porous media. Transp. Porous Media 63(1), 57–69 (2006)CrossRef Zeng, Z.; Grigg, R.: A criterion for non-Darcy flow in porous media. Transp. Porous Media 63(1), 57–69 (2006)CrossRef
22.
go back to reference Whitaker, S.: The Forchheimer equation: a theoretical development. Transp. Porous Media 25(1), 27–61 (1996)CrossRef Whitaker, S.: The Forchheimer equation: a theoretical development. Transp. Porous Media 25(1), 27–61 (1996)CrossRef
23.
go back to reference Ghadikolaei, S.S.; Yassari, M.; Sadeghi, H.; Hosseinzadeh, K.; Ganji, D.D.: Investigation on thermophysical properties of TiO\(_2\)–Cu/H\(_2\)O hybrid nanofluid transport dependent on shape factor in MHD stagnation point flow. Powder Technol. 322, 428–438 (2017)CrossRef Ghadikolaei, S.S.; Yassari, M.; Sadeghi, H.; Hosseinzadeh, K.; Ganji, D.D.: Investigation on thermophysical properties of TiO\(_2\)–Cu/H\(_2\)O hybrid nanofluid transport dependent on shape factor in MHD stagnation point flow. Powder Technol. 322, 428–438 (2017)CrossRef
24.
go back to reference Ghadikolaei, S.S.; Hosseinzadeh, K.; Ganji, D.D.: Investigation on ethylene glycol-water mixture fluid suspend by hybrid nanoparticles (TiO\(_2\)–CuO) over rotating cone with considering nanoparticles shape factor. J. Mol. Liq. 272, 226–236 (2018)CrossRef Ghadikolaei, S.S.; Hosseinzadeh, K.; Ganji, D.D.: Investigation on ethylene glycol-water mixture fluid suspend by hybrid nanoparticles (TiO\(_2\)–CuO) over rotating cone with considering nanoparticles shape factor. J. Mol. Liq. 272, 226–236 (2018)CrossRef
25.
go back to reference Ghadikolaei, S.S.; Hosseinzadeh, K.; Ganji, D.D.: Investigation on three dimensional squeezing flow of mixture base fluid (ethylene glycol-water) suspended by hybrid nanoparticle (Fe\(_3\)O\(_4\)–Ag) dependent on shape factor. J. Mol. Liq. 262(2017), 376–388 (2018)CrossRef Ghadikolaei, S.S.; Hosseinzadeh, K.; Ganji, D.D.: Investigation on three dimensional squeezing flow of mixture base fluid (ethylene glycol-water) suspended by hybrid nanoparticle (Fe\(_3\)O\(_4\)–Ag) dependent on shape factor. J. Mol. Liq. 262(2017), 376–388 (2018)CrossRef
26.
go back to reference Hemmat Esfe, M.; Saedodin, S.; Yan, W.M.; Afrand, M.; Sina, N.: Study on thermal conductivity of water-based nanofluids with hybrid suspensions of CNTs/Al\(_2\)O\(_3\) nanoparticles. J. Therm. Anal. Calorim. 124(1), 455–460 (2016)CrossRef Hemmat Esfe, M.; Saedodin, S.; Yan, W.M.; Afrand, M.; Sina, N.: Study on thermal conductivity of water-based nanofluids with hybrid suspensions of CNTs/Al\(_2\)O\(_3\) nanoparticles. J. Therm. Anal. Calorim. 124(1), 455–460 (2016)CrossRef
27.
go back to reference Nadeem, S.; Hayat, T.; Khan, A.U.: Numerical study on 3D rotating hybrid SWCNT–MWCNT flow over a convectively heated stretching surface with heat generation/absorption. Phys. Scr. 94, 075202 (2019)CrossRef Nadeem, S.; Hayat, T.; Khan, A.U.: Numerical study on 3D rotating hybrid SWCNT–MWCNT flow over a convectively heated stretching surface with heat generation/absorption. Phys. Scr. 94, 075202 (2019)CrossRef
28.
go back to reference Khan, W.A.; Makinde, O.D.; Khan, Z.H.: MHD boundary layer flow of a nanofluid containing gyrotactic microorganisms past a vertical plate with Navier slip. Int. J. Heat Mass Transf. 74, 285–291 (2014)CrossRef Khan, W.A.; Makinde, O.D.; Khan, Z.H.: MHD boundary layer flow of a nanofluid containing gyrotactic microorganisms past a vertical plate with Navier slip. Int. J. Heat Mass Transf. 74, 285–291 (2014)CrossRef
29.
go back to reference Xu, B.; Ju, Y.: Concentration slip and its impact on heterogeneous combustion in a micro scale chemical reactor. Chem. Eng. Sci. 60(13), 3561–3572 (2005)CrossRef Xu, B.; Ju, Y.: Concentration slip and its impact on heterogeneous combustion in a micro scale chemical reactor. Chem. Eng. Sci. 60(13), 3561–3572 (2005)CrossRef
30.
go back to reference Sheikh, N.A.; Ali, F.; Khan, I.; Gohar, M.: A theoretical study on the performance of a solar collector using CeO\(_2\) and Al\(_2\)O\(_3\) water based nanofluids with inclined plate: AtanganaâĂŞBaleanu fractional model. Chaos Solitons Fractals 115, 135–142 (2018)MathSciNetCrossRef Sheikh, N.A.; Ali, F.; Khan, I.; Gohar, M.: A theoretical study on the performance of a solar collector using CeO\(_2\) and Al\(_2\)O\(_3\) water based nanofluids with inclined plate: AtanganaâĂŞBaleanu fractional model. Chaos Solitons Fractals 115, 135–142 (2018)MathSciNetCrossRef
31.
go back to reference Sheikh, N.A.; Ching, D.L.C.; Khan, I.; Kumar, D.; Nisar, K.S.: A new model of fractional Casson fluid based on generalized Fick’s and Fourier’s laws together with heat and mass transfer. Alex. Eng. J. 59, 2865–2876 (2020)CrossRef Sheikh, N.A.; Ching, D.L.C.; Khan, I.; Kumar, D.; Nisar, K.S.: A new model of fractional Casson fluid based on generalized Fick’s and Fourier’s laws together with heat and mass transfer. Alex. Eng. J. 59, 2865–2876 (2020)CrossRef
32.
go back to reference Waqas, H.; Imran, M.; Hussain, S.; Ahmad, F.; Khan, I.; Nisar, K.S.; Almatroud, A.O.: Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally. Math. Comput. Simul. 178, 166–182 (2020)MathSciNetCrossRef Waqas, H.; Imran, M.; Hussain, S.; Ahmad, F.; Khan, I.; Nisar, K.S.; Almatroud, A.O.: Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally. Math. Comput. Simul. 178, 166–182 (2020)MathSciNetCrossRef
33.
go back to reference Rasool, G.; Chamkha, A.J.; Muhammad, T.; Shafiq, A.; Khan, I.: Darcy–Forchheimer relation in Casson type MHD nanofluid flow over non-linear stretching surface. Propuls. Power Res. 9(2), 159–168 (2020)CrossRef Rasool, G.; Chamkha, A.J.; Muhammad, T.; Shafiq, A.; Khan, I.: Darcy–Forchheimer relation in Casson type MHD nanofluid flow over non-linear stretching surface. Propuls. Power Res. 9(2), 159–168 (2020)CrossRef
34.
go back to reference Lund, L.A.; Omar, Z.; Khan, I.; Sherif, E.S.M.; Abdo, H.S.: Stability analysis of the magnetized casson nanofluid propagating through an exponentially shrinking/stretching plate: dual solutions. Symmetry 12(7), 1162 (2020)CrossRef Lund, L.A.; Omar, Z.; Khan, I.; Sherif, E.S.M.; Abdo, H.S.: Stability analysis of the magnetized casson nanofluid propagating through an exponentially shrinking/stretching plate: dual solutions. Symmetry 12(7), 1162 (2020)CrossRef
35.
go back to reference Chu, Y.M.; Nisar, K.S.; Khan, U.; Kasmaei, H.D.; Malaver, M.; Zaib, A.; Khan, I.: Mixed convection in mhd water-based molybdenum disulfide-graphene oxide hybrid nanofluid through an upright cylinder with shape factor. Water (Switz) 12(6), 1723 (2020)CrossRef Chu, Y.M.; Nisar, K.S.; Khan, U.; Kasmaei, H.D.; Malaver, M.; Zaib, A.; Khan, I.: Mixed convection in mhd water-based molybdenum disulfide-graphene oxide hybrid nanofluid through an upright cylinder with shape factor. Water (Switz) 12(6), 1723 (2020)CrossRef
36.
go back to reference Kumar, R.; Kumar, R.; Ali Shehzad, S.; Sheikholeslami, M.: Rotating frame analysis of radiating and reacting ferro-nanofluid considering Joule heating and viscous dissipation. Int. J. Heat Mass Transf. 120, 540–551 (2018)CrossRef Kumar, R.; Kumar, R.; Ali Shehzad, S.; Sheikholeslami, M.: Rotating frame analysis of radiating and reacting ferro-nanofluid considering Joule heating and viscous dissipation. Int. J. Heat Mass Transf. 120, 540–551 (2018)CrossRef
37.
go back to reference Kumar, R.; Kumar, R.; Sheikholeslami, M.; Chamkha, A.J.: Irreversibility analysis of the tree dimensional flow of carbon nanotubes due to nonlinear thermal radiation and quartic chemical reactions. J. Mol. Liq. 274, 379–392 (2019)CrossRef Kumar, R.; Kumar, R.; Sheikholeslami, M.; Chamkha, A.J.: Irreversibility analysis of the tree dimensional flow of carbon nanotubes due to nonlinear thermal radiation and quartic chemical reactions. J. Mol. Liq. 274, 379–392 (2019)CrossRef
Metadata
Title
Filtration of Radiating and Reacting SWCNT–MWCNT/Water Hybrid Flow with the Significance of Darcy–Forchheimer Porous Medium
Authors
S. Suganya
M. Muthtamilselvan
Fahad Al-Amri
Bahaaeldin Abdalla
Deog-Hee Doh
Publication date
30-09-2020
Publisher
Springer Berlin Heidelberg
Published in
Arabian Journal for Science and Engineering / Issue 3/2021
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI
https://doi.org/10.1007/s13369-020-04967-9

Other articles of this Issue 3/2021

Arabian Journal for Science and Engineering 3/2021 Go to the issue

Premium Partners