Skip to main content
Top
Published in: Arabian Journal for Science and Engineering 6/2020

08-05-2020 | Research Article-Physics

Numerical Treatments to Analyze the Nonlinear Radiative Heat Transfer in MHD Nanofluid Flow with Solar Energy

Authors: Saeed Ehsan Awan, Muhammad Asif Zahoor Raja, Ammara Mehmood, Shahab Ahmad Niazi, Sadia Siddiqa

Published in: Arabian Journal for Science and Engineering | Issue 6/2020

Log in

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

search-config
loading …

Abstract

In the current study, the nonlinear radiative heat transfer effects due to solar radiation in magneto-hydrodynamic (MHD) nanofluidic problem are analyzed effectively by novel application of numerical computing by Adams predictor–corrector and explicit backward difference solvers. The governing relations of PDEs for the model are transformed into the system of ODEs, and numerical solvers are applied to the transformed system to study the effect of radiation parameter along with thermophoresis parameter, Brownian motion parameter, magnetic field parameter, Lewis number, Prandtl number, Eckert number and Biot number on velocity, temperature and nanoparticle concentration profiles. The comparative study of both solvers is provided in sufficient number of graphical and numerical illustrations to prove the worth in terms of accuracy, robustness and stability.

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 Kim, S.; Mor, G.K.; Paulose, M.; Varghese, O.K.; Shankar, K.; Grimes, C.A.: Broad spectrum light harvesting in TiO $ _2 $ nanotube array-hemicyanine dye–P3HT hybrid solid-state solar cells. IEEE J. Sel. Top. Quantum Electron. 16(6), 1573–1580 (2010)CrossRef Kim, S.; Mor, G.K.; Paulose, M.; Varghese, O.K.; Shankar, K.; Grimes, C.A.: Broad spectrum light harvesting in TiO $ _2 $ nanotube array-hemicyanine dye–P3HT hybrid solid-state solar cells. IEEE J. Sel. Top. Quantum Electron. 16(6), 1573–1580 (2010)CrossRef
2.
go back to reference De Wild, J.; Duindam, T.F.; Rath, J.K.; Meijerink, A.; Van Sark, W.G.J.H.M.; Schropp, R.E.I.: Increased up conversion response in a-Si: H solar cells with broad-band light. IEEE J. Photovolt. 3(1), 17–21 (2013)CrossRef De Wild, J.; Duindam, T.F.; Rath, J.K.; Meijerink, A.; Van Sark, W.G.J.H.M.; Schropp, R.E.I.: Increased up conversion response in a-Si: H solar cells with broad-band light. IEEE J. Photovolt. 3(1), 17–21 (2013)CrossRef
3.
go back to reference Hua, X.; Zeng, Y.; Wang, W.; Shen, W.: Light absorption mechanism of c-Si/a-Si Half-coaxial nanowire arrays for nanostructured hetero junction photovoltaics. IEEE Trans. Electron Devices 61(12), 4007–4013 (2014)CrossRef Hua, X.; Zeng, Y.; Wang, W.; Shen, W.: Light absorption mechanism of c-Si/a-Si Half-coaxial nanowire arrays for nanostructured hetero junction photovoltaics. IEEE Trans. Electron Devices 61(12), 4007–4013 (2014)CrossRef
4.
go back to reference Pakhuruddin, M.Z.; Huang, J.; Dore, J.; Varlamov, S.: Light absorption enhancement in laser-crystallized silicon thin films on textured glass. IEEE J. Photovolt. 6(1), 159–165 (2016)CrossRef Pakhuruddin, M.Z.; Huang, J.; Dore, J.; Varlamov, S.: Light absorption enhancement in laser-crystallized silicon thin films on textured glass. IEEE J. Photovolt. 6(1), 159–165 (2016)CrossRef
5.
go back to reference Ishizaki, K.; Motohira, A.; De Zoysa, M.; Tanaka, Y.; Umeda, T.; Noda, S.: Microcrystalline-silicon solar cells with photonic crystals on the top surface. IEEE J. Photovolt. 7(4), 950–956 (2017)CrossRef Ishizaki, K.; Motohira, A.; De Zoysa, M.; Tanaka, Y.; Umeda, T.; Noda, S.: Microcrystalline-silicon solar cells with photonic crystals on the top surface. IEEE J. Photovolt. 7(4), 950–956 (2017)CrossRef
6.
go back to reference Chen, M.; Zhang, Y.; Cui, Y.; Zhang, F.; Qin, W.; Zhu, F.; Hao, Y.: Profiling light absorption enhancement in two-dimensional photonic-structured perovskite solar cells. IEEE J. Photovolt. 7(5), 1324–1328 (2017)CrossRef Chen, M.; Zhang, Y.; Cui, Y.; Zhang, F.; Qin, W.; Zhu, F.; Hao, Y.: Profiling light absorption enhancement in two-dimensional photonic-structured perovskite solar cells. IEEE J. Photovolt. 7(5), 1324–1328 (2017)CrossRef
7.
go back to reference Mehmood, U.; Al-Ahmed, A.; Afzaal, M.; Hakeem, A.S.; Haladu, S.A.; Al-Sulaiman, F.A.: Enhancement of the photovoltaic performance of a dye-sensitized solar cell by cosensitizing TiO2 photoanode with spray-coated uncapped PbS nanocrystals and ruthenizer. IEEE J. Photovolt. 8(2), 512–516 (2018)CrossRef Mehmood, U.; Al-Ahmed, A.; Afzaal, M.; Hakeem, A.S.; Haladu, S.A.; Al-Sulaiman, F.A.: Enhancement of the photovoltaic performance of a dye-sensitized solar cell by cosensitizing TiO2 photoanode with spray-coated uncapped PbS nanocrystals and ruthenizer. IEEE J. Photovolt. 8(2), 512–516 (2018)CrossRef
8.
go back to reference Liang, H.; Liu, Y.; Li, H.; Zhang, H.; Han, S.; Wu, Y.; Wang, Z.: All-fiber light intensity detector based on an ionic-liquid-adorned microstructured optical fiber. IEEE Photonics J. 10(2), 1–8 (2018)CrossRef Liang, H.; Liu, Y.; Li, H.; Zhang, H.; Han, S.; Wu, Y.; Wang, Z.: All-fiber light intensity detector based on an ionic-liquid-adorned microstructured optical fiber. IEEE Photonics J. 10(2), 1–8 (2018)CrossRef
9.
go back to reference Ishii, S.; Sugavaneshwar, R.P.; Nagao, T.: Titanium nitride nanoparticles as plasmonic solar heat transducers. J. Phys. Chem. C 120(4), 2343–2348 (2016)CrossRef Ishii, S.; Sugavaneshwar, R.P.; Nagao, T.: Titanium nitride nanoparticles as plasmonic solar heat transducers. J. Phys. Chem. C 120(4), 2343–2348 (2016)CrossRef
10.
go back to reference Raffaelle, R.P.; Landi, B.J.; Evans, C.M.; Cress, C.D.; Andersen, J.; Castro, S.L.; Bailey, S.G.: Nanomaterial development for polymeric solar cells. In: 2006 IEEE 4th world conference on photovoltaic energy conference, (vol. 1, pp. 186–189). IEEE, 2006 Raffaelle, R.P.; Landi, B.J.; Evans, C.M.; Cress, C.D.; Andersen, J.; Castro, S.L.; Bailey, S.G.: Nanomaterial development for polymeric solar cells. In: 2006 IEEE 4th world conference on photovoltaic energy conference, (vol. 1, pp. 186–189). IEEE, 2006
11.
go back to reference Gondal, M.A.; Rashid, S.G.; Dastageer, M.A.; Zubair, S.M.; Ali, M.A.; Lienhard, J.H.; McKinley, G.H.; Varanasi, K.K.: Sol-Gel synthesis of Au/Cu-TiO2 nanocomposite and their morphological and optical properties. IEEE Photonics J. 5(3), 2201908–2201908 (2013)CrossRef Gondal, M.A.; Rashid, S.G.; Dastageer, M.A.; Zubair, S.M.; Ali, M.A.; Lienhard, J.H.; McKinley, G.H.; Varanasi, K.K.: Sol-Gel synthesis of Au/Cu-TiO2 nanocomposite and their morphological and optical properties. IEEE Photonics J. 5(3), 2201908–2201908 (2013)CrossRef
12.
go back to reference Hogan, N.J.; Urban, A.S.; Ayala-Orozco, C.; Pimpinelli, A.; Nordlander, P.; Halas, N.J.: Nanoparticles heat through light localization. Nano Lett. 14(8), 4640–4645 (2014)CrossRef Hogan, N.J.; Urban, A.S.; Ayala-Orozco, C.; Pimpinelli, A.; Nordlander, P.; Halas, N.J.: Nanoparticles heat through light localization. Nano Lett. 14(8), 4640–4645 (2014)CrossRef
13.
go back to reference Ishii, S.; Sugavaneshwar, R.P.; Chen, K.; Dao, T.D.; Nagao, T.: Solar water heating and vaporization with silicon nanoparticles at mie resonances. Opt. Mater. Express 6(2), 640–648 (2016)CrossRef Ishii, S.; Sugavaneshwar, R.P.; Chen, K.; Dao, T.D.; Nagao, T.: Solar water heating and vaporization with silicon nanoparticles at mie resonances. Opt. Mater. Express 6(2), 640–648 (2016)CrossRef
14.
go back to reference Hameed, A.H.; Salih, S.R.; Balage, S. :Direct absorption solar collector with direct heat exchange in inclined receiver unit. Hameed, A.H.; Salih, S.R.; Balage, S. :Direct absorption solar collector with direct heat exchange in inclined receiver unit.
15.
go back to reference Wang, Z.; Tao, P.; Liu, Y.; Xu, H.; Ye, Q.; Hu, H.; Song, C.; Chen, Z.; Shang, W.; Deng, T.: Rapid charging of thermal energy storage materials through plasmonic heating. Sci. Rep 4, 6246 (2014)CrossRef Wang, Z.; Tao, P.; Liu, Y.; Xu, H.; Ye, Q.; Hu, H.; Song, C.; Chen, Z.; Shang, W.; Deng, T.: Rapid charging of thermal energy storage materials through plasmonic heating. Sci. Rep 4, 6246 (2014)CrossRef
16.
go back to reference Mushtaq, A.; Mustafa, M.; Hayat, T.; Alsaedi, A.: Nonlinear radiative heat transfer in the flow of nanofluid due to solar energy: a numerical study. J. Taiwan Inst. Chem. Eng. 45(4), 1176–1183 (2014)CrossRef Mushtaq, A.; Mustafa, M.; Hayat, T.; Alsaedi, A.: Nonlinear radiative heat transfer in the flow of nanofluid due to solar energy: a numerical study. J. Taiwan Inst. Chem. Eng. 45(4), 1176–1183 (2014)CrossRef
17.
go back to reference Ghasemi, S.E.; Hatami, M.; Jing, D.; Ganji, D.D.: Nanoparticles effects on MHD fluid flow over a stretching sheet with solar radiation: a numerical study. J. Mol. Liq. 219, 890–896 (2016)CrossRef Ghasemi, S.E.; Hatami, M.; Jing, D.; Ganji, D.D.: Nanoparticles effects on MHD fluid flow over a stretching sheet with solar radiation: a numerical study. J. Mol. Liq. 219, 890–896 (2016)CrossRef
18.
go back to reference Awan, S.E.; et al.: Dynamical analysis for nanofluid slip rheology with thermal radiation, heat generation/absorption and convective wall properties. AIP Adv. 8(7), 075122 (2018)CrossRef Awan, S.E.; et al.: Dynamical analysis for nanofluid slip rheology with thermal radiation, heat generation/absorption and convective wall properties. AIP Adv. 8(7), 075122 (2018)CrossRef
19.
go back to reference Awan, S.E.; et al.: Numerical treatment for hydro-magnetic unsteady channel flow of nanofluid with heat transfer. Res. Phys. 9, 1543–1554 (2018) Awan, S.E.; et al.: Numerical treatment for hydro-magnetic unsteady channel flow of nanofluid with heat transfer. Res. Phys. 9, 1543–1554 (2018)
20.
go back to reference Mahanthesh, B.; Gireesha, B.J.; Gorla, R.R.; Abbasi, F.M.; Shehzad, S.A.: Numerical solutions for magnetohydrodynamic flow of nanofluid over a bidirectional non-linear stretching surface with prescribed surface heat flux boundary. J. Magn. Magn. Mater. 417, 189–196 (2016)CrossRef Mahanthesh, B.; Gireesha, B.J.; Gorla, R.R.; Abbasi, F.M.; Shehzad, S.A.: Numerical solutions for magnetohydrodynamic flow of nanofluid over a bidirectional non-linear stretching surface with prescribed surface heat flux boundary. J. Magn. Magn. Mater. 417, 189–196 (2016)CrossRef
21.
go back to reference Mahanthesh, B.; Shashikumar, N.S.; Gireesha, B.J.; Animasaun, I.L.: Effectiveness of Hall current and exponential heat source on unsteady heat transport of dusty TiO2-EO nanoliquid with nonlinear radiative heat. J. Comput. Des. Eng. 6(4), 551–561 (2019) Mahanthesh, B.; Shashikumar, N.S.; Gireesha, B.J.; Animasaun, I.L.: Effectiveness of Hall current and exponential heat source on unsteady heat transport of dusty TiO2-EO nanoliquid with nonlinear radiative heat. J. Comput. Des. Eng. 6(4), 551–561 (2019)
22.
go back to reference Awais, M.; et al.: Hydromagnetic mixed convective flow over a wall with variable thickness and Cattaneo–Christov heat flux model: OHAM analysis. Res. Phys. 8, 621–627 (2018) Awais, M.; et al.: Hydromagnetic mixed convective flow over a wall with variable thickness and Cattaneo–Christov heat flux model: OHAM analysis. Res. Phys. 8, 621–627 (2018)
23.
go back to reference Mahanthesh, B.; Gireesha, B.J.; Manjunatha, S.; Gorla, R.S.R.: Effect of viscous dissipation and Joule heating on three-dimensional mixed convection flow of nano fluid over a non-linear stretching sheet in presence of solar radiation. J. Nanofluids 6(4), 735–742 (2017)CrossRef Mahanthesh, B.; Gireesha, B.J.; Manjunatha, S.; Gorla, R.S.R.: Effect of viscous dissipation and Joule heating on three-dimensional mixed convection flow of nano fluid over a non-linear stretching sheet in presence of solar radiation. J. Nanofluids 6(4), 735–742 (2017)CrossRef
24.
go back to reference Mahanthesh, B.; Gireesha, B.J.; Animasaun, I.L.; Muhammad, T.; Shashikumar, N.S.: MHD flow of SWCNT and MWCNT nanoliquids past a rotating stretchable disk with thermal and exponential space dependent heat source. Phys. Scr. 94(8), 085214 (2019)CrossRef Mahanthesh, B.; Gireesha, B.J.; Animasaun, I.L.; Muhammad, T.; Shashikumar, N.S.: MHD flow of SWCNT and MWCNT nanoliquids past a rotating stretchable disk with thermal and exponential space dependent heat source. Phys. Scr. 94(8), 085214 (2019)CrossRef
25.
go back to reference Lin, Y.; Jiang, Y.: Effects of Brownian motion and thermophoresis on nanofluids in a rotating circular groove: a numerical simulation. Int. J. Heat Mass Transf. 123, 569–582 (2018)CrossRef Lin, Y.; Jiang, Y.: Effects of Brownian motion and thermophoresis on nanofluids in a rotating circular groove: a numerical simulation. Int. J. Heat Mass Transf. 123, 569–582 (2018)CrossRef
26.
go back to reference Lin, Y.; Li, B.; Zheng, L.; Chen, G.: Particle shape and radiation effects on Marangoni boundary layer flow and heat transfer of copper-water nanofluid driven by an exponential temperature. Powder Technol. 301, 379–386 (2016)CrossRef Lin, Y.; Li, B.; Zheng, L.; Chen, G.: Particle shape and radiation effects on Marangoni boundary layer flow and heat transfer of copper-water nanofluid driven by an exponential temperature. Powder Technol. 301, 379–386 (2016)CrossRef
27.
go back to reference Lin, Y.; Zheng, L.; Chen, G.: Unsteady flow and heat transfer of pseudo-plastic nanoliquid in a finite thin film on a stretching surface with variable thermal conductivity and viscous dissipation. Powder Technol. 274, 324–332 (2015)CrossRef Lin, Y.; Zheng, L.; Chen, G.: Unsteady flow and heat transfer of pseudo-plastic nanoliquid in a finite thin film on a stretching surface with variable thermal conductivity and viscous dissipation. Powder Technol. 274, 324–332 (2015)CrossRef
28.
go back to reference Lin, Y.; Zheng, L.; Zhang, X.; Ma, L.; Chen, G.: MHD pseudo-plastic nanofluid unsteady flow and heat transfer in a finite thin film over stretching surface with internal heat generation. Int. J. Heat Mass Transf. 84, 903–911 (2015)CrossRef Lin, Y.; Zheng, L.; Zhang, X.; Ma, L.; Chen, G.: MHD pseudo-plastic nanofluid unsteady flow and heat transfer in a finite thin film over stretching surface with internal heat generation. Int. J. Heat Mass Transf. 84, 903–911 (2015)CrossRef
30.
go back to reference Mehmood, A.; et al.: Design of neuro-computing paradigms for nonlinear nanofluidic systems of MHD Jeffery-Hamel flow. J. Taiwan Inst. Chem. Eng. 91, 57–85 (2018)CrossRef Mehmood, A.; et al.: Design of neuro-computing paradigms for nonlinear nanofluidic systems of MHD Jeffery-Hamel flow. J. Taiwan Inst. Chem. Eng. 91, 57–85 (2018)CrossRef
31.
go back to reference Amala, S.; Mahanthesh, B.: Hybrid nanofluid flow over a vertical rotating plate in the presence of hall current, nonlinear convection and heat absorption. J Nanofluids 7(6), 1138–1148 (2018)CrossRef Amala, S.; Mahanthesh, B.: Hybrid nanofluid flow over a vertical rotating plate in the presence of hall current, nonlinear convection and heat absorption. J Nanofluids 7(6), 1138–1148 (2018)CrossRef
32.
go back to reference Mahanthesh, B.; Gireesha, B.J.; Gorla, R.S.; Makinde, O.D.: Magnetohydrodynamic three-dimensional flow of nanofluids with slip and thermal radiation over a nonlinear stretching sheet: a numerical study. Neural Comput. Appl. 30(5), 1557–1567 (2018)CrossRef Mahanthesh, B.; Gireesha, B.J.; Gorla, R.S.; Makinde, O.D.: Magnetohydrodynamic three-dimensional flow of nanofluids with slip and thermal radiation over a nonlinear stretching sheet: a numerical study. Neural Comput. Appl. 30(5), 1557–1567 (2018)CrossRef
33.
go back to reference Krupalakshmi, K.L.; Gireesha, B.J.; Mahanthesh, B.; Gorla, R.S.R.: Influence of nonlinear thermal radiation and magnetic field on upperconvected Maxwell fluid flow due to a convectively heated stretching sheet in the presence of dust particles. Commun. Numer. Anal (ISPACS) 2016, 57–73 (2016)CrossRef Krupalakshmi, K.L.; Gireesha, B.J.; Mahanthesh, B.; Gorla, R.S.R.: Influence of nonlinear thermal radiation and magnetic field on upperconvected Maxwell fluid flow due to a convectively heated stretching sheet in the presence of dust particles. Commun. Numer. Anal (ISPACS) 2016, 57–73 (2016)CrossRef
34.
go back to reference Gireesha, B.J.; Gorla, R.S.R.; Mahanthesh, B.: Effect of suspended nanoparticles on three-dimensional MHD flow, heat and mass transfer of radiating Eyring–Powell fluid over a stretching sheet. J. Nanofluids 4(4), 474–484 (2015)CrossRef Gireesha, B.J.; Gorla, R.S.R.; Mahanthesh, B.: Effect of suspended nanoparticles on three-dimensional MHD flow, heat and mass transfer of radiating Eyring–Powell fluid over a stretching sheet. J. Nanofluids 4(4), 474–484 (2015)CrossRef
35.
go back to reference Mehmood, A.; et al.: Intelligent computing to analyze the dynamics of Magnetohydrodynamic flow over stretchable rotating disk model. Appl. Soft Comput. 67, 8–28 (2018)CrossRef Mehmood, A.; et al.: Intelligent computing to analyze the dynamics of Magnetohydrodynamic flow over stretchable rotating disk model. Appl. Soft Comput. 67, 8–28 (2018)CrossRef
36.
go back to reference Ahmad, I.; et al.: Intelligent computing to solve fifth-order boundary value problem arising in induction motor models. Neural Comput. Appl. 29(7), 449–466 (2018)CrossRef Ahmad, I.; et al.: Intelligent computing to solve fifth-order boundary value problem arising in induction motor models. Neural Comput. Appl. 29(7), 449–466 (2018)CrossRef
37.
go back to reference Raja, M.A.Z.; Ahmed, T.; Shah, S.M.: Intelligent computing strategy to analyze the dynamics of convective heat transfer in MHD slip flow over stretching surface involving carbon nanotubes. J. Taiwan Inst. Chem. Eng. 80, 935–953 (2017)CrossRef Raja, M.A.Z.; Ahmed, T.; Shah, S.M.: Intelligent computing strategy to analyze the dynamics of convective heat transfer in MHD slip flow over stretching surface involving carbon nanotubes. J. Taiwan Inst. Chem. Eng. 80, 935–953 (2017)CrossRef
38.
go back to reference Umar, M.; et al.: Intelligent computing for numerical treatment of nonlinear prey–predator models. Appl. Soft Comput. 80, 506–524 (2019)CrossRef Umar, M.; et al.: Intelligent computing for numerical treatment of nonlinear prey–predator models. Appl. Soft Comput. 80, 506–524 (2019)CrossRef
39.
go back to reference Raja, M.A.Z.; Niazi, S.A.; Butt, S.A.: An intelligent computing technique to analyze the vibrational dynamics of rotating electrical machine. Neurocomputing 219, 280–299 (2017)CrossRef Raja, M.A.Z.; Niazi, S.A.; Butt, S.A.: An intelligent computing technique to analyze the vibrational dynamics of rotating electrical machine. Neurocomputing 219, 280–299 (2017)CrossRef
40.
go back to reference Mehmood, A.; et al.: Integrated intelligent computing paradigm for the dynamics of micropolar fluid flow with heat transfer in a permeable walled channel. Appl. Soft Comput. 79, 139–162 (2019)CrossRef Mehmood, A.; et al.: Integrated intelligent computing paradigm for the dynamics of micropolar fluid flow with heat transfer in a permeable walled channel. Appl. Soft Comput. 79, 139–162 (2019)CrossRef
Metadata
Title
Numerical Treatments to Analyze the Nonlinear Radiative Heat Transfer in MHD Nanofluid Flow with Solar Energy
Authors
Saeed Ehsan Awan
Muhammad Asif Zahoor Raja
Ammara Mehmood
Shahab Ahmad Niazi
Sadia Siddiqa
Publication date
08-05-2020
Publisher
Springer Berlin Heidelberg
Published in
Arabian Journal for Science and Engineering / Issue 6/2020
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI
https://doi.org/10.1007/s13369-020-04593-5

Other articles of this Issue 6/2020

Arabian Journal for Science and Engineering 6/2020 Go to the issue

Premium Partners