Skip to main content
SpringerLink
Log in

Transportation of water-based trapped bolus of SWCNTs and MWCNTs with entropy optimization in a non-uniform channel

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

Here, we communicate the peristalsis of single- and multi-walled CNTs through nonlinear porous, non-uniform propagating channel boundaries. Non-uniform channel boundaries are of asymmetric characteristics. Flow equations are modeled by taking variable viscosity, linear and nonlinear porous medium (i.e., Darcy and Darcy–Forchheimer), nonlinear thermal radiation, mixed convection, heat generation and absorption aspects. Convective heat transfer aspects are at the convectively heated surface. The entropy generation rate is modeled via the second law of thermodynamics. Modeled equations are simplified with the help of long wavelength assumption. Dimensionless system of equations with respective boundary conditions is solved numerically via built-in shooting algorithm in Mathematica 8 software. Further, these numerical results are directly received in the form of curves. Such curves are made for velocity, temperature, pressure gradient, trapping, entropy rate and Bejan number. Heat transfer rate at lower and upper walls is achieved through bar charts.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Bejan A (2002) Fundamentals of exergy analysis, entropy generation minimization, and the generation of flow architecture. Int J Energy Res 26:545–565

    Google Scholar 

  2. Bejan A (1979) Study of entropy generation in fundamental convective heat transfer. J Heat Transf 101:718–725

    Article  Google Scholar 

  3. Khan MI, Hayat T, Alsaedi A, Qayyum S, Tamoor M (2018) Entropy generation minimization (EGM) in nonlinear mixed convective flow of nanomaterial with Joule heating and slip condition. Int J Heat Mass Transf 127:829–837

    Article  Google Scholar 

  4. Bejan A (1982) Entropy generation through heat and fluid flow. Wiley, New York

    Google Scholar 

  5. Hayat T, Khan MI, Qayyum S, Khan MI, Alsaedi A (2018) Entropy generation for flow of Sisko fluid due to rotating disk. J Mol Liq 264:375–385

    Article  Google Scholar 

  6. Genić S, Jaćimović B, Petrovic A (2018) A novel method for combined entropy generation and economic optimization of counter-current and co-current heat exchangers. Appl Therm Eng 136:327–334

    Article  Google Scholar 

  7. Manay E, Akyürek EF, Sahin B (2018) Entropy generation of nanofluid flow in a microchannel heat sink. Results Phys 9:615–624

    Article  Google Scholar 

  8. Selimefendigil F, Oztop HF (2018) Modeling and optimization of MHD mixed convection in a lid-driven trapezoidal cavity filled with alumina-water nanofluid: effects of electrical conductivity models. Int J Mech Sci 136:264–278

    Article  Google Scholar 

  9. Ismael MA, Armaghani T, Chamkha AJ (2016) Conjugate heat transfer and entropy generation in a cavity filled with a nanofluid-saturated porous media and heated by a triangular solid. J Taiwan Inst Chem Eng 59:138–151

    Article  Google Scholar 

  10. Bejan A (1980) Second law analysis in heat transfer. Energy 5:721–732

    Article  Google Scholar 

  11. Oztop HF, Al-Salem K (2012) A review on entropy generation in natural and mixed convection heat transfer for energy systems. Renew Sustain Energy Rev 16:911–920

    Article  Google Scholar 

  12. Reddy MG, Makinde OD (2016) Magnetohydrodynamic peristaltic transport of Jeffery nanofluid in an asymmetric channel. J Mol Liq 223:1242–1248

    Article  Google Scholar 

  13. Hayat T, Khan MI, Farooq M, Alsaedi A, Waqas M, Yasmeen T (2016) Impact of Cattaneo–Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface. Int J Heat Mass Transf 99:702–710

    Article  Google Scholar 

  14. Das S, Jana RN, Makinde OD (2017) MHD flow of Cu–Al2O3/water hybrid nanofluid in porous channel: analysis of entropy generation. Defect Differ Forum 377:42–61

    Article  Google Scholar 

  15. Khan MI, Waqas M, Hayat T, Alsaedi A (2017) A comparative study of Casson fluid with homogeneous–heterogeneous reactions. J Colloid Interface Sci 498:85–90

    Article  Google Scholar 

  16. Reddy KV, Makinde OD, Reddy MG (2018) Thermal analysis of MHD electro-osmotic peristaltic pumping of Casson fluid through a rotating asymmetric microchannel. Indian J Phys 92:1439–1448

    Article  Google Scholar 

  17. Asha SK, Deepa CK (2019) Entropy generation for peristaltic blood flow of a magneto-micropolar fluid with thermal radiation in a tapered asymmetric channel. Results Eng 3:100024

    Article  Google Scholar 

  18. Ranjit NK, Shit GC, Tripathi D (2019) Entropy generation and Joule heating of two layered electroosmotic flow in the peristaltically induced micro-channel. Int J Mech Sci 153:430–444

    Article  Google Scholar 

  19. Akgül A (2019) Reproducing kernel Hilbert space method based on reproducing kernel functions for investigating boundary layer flow of a Powell–Eyring non-Newtonian fluid. J Taibah Univ Sci 13:858–863

    Article  Google Scholar 

  20. Tlili I, Bhatti MM, Hamad SM, Barzinjy AA, Sheikholeslami M, Shafee A (2019) Macroscopic modeling for convection of hybrid nanofluid with magnetic effects. Phys A Stat Mech Appl 534:122136

    Article  MathSciNet  Google Scholar 

  21. Akgül A (2018) A novel method for a fractional derivative with non-local and non-singular kernel. Chaos, Solitons Fractals 114:478–482

    Article  MathSciNet  Google Scholar 

  22. Bhatti MM, Lu DQ (2019) Analytical study of the head-on collision process between hydroelastic solitary waves in the presence of a uniform current. Symmetry 11:333

    Article  Google Scholar 

  23. Akgül A (2017) A novel method for the solution of blasius equation in semi-infinite domains. Int J Optim Control Theor Appl 7:225–233

    Article  MathSciNet  Google Scholar 

  24. Waqas H, Khan SU, Hassan M, Bhatti MM, Imran M (2019) Analysis on the bioconvection flow of modified second-grade nanofluid containing gyrotactic microorganisms and nanoparticles. J Mol Liq 291:111231

    Article  Google Scholar 

  25. Akgul A, Akgul EK (2019) A novel method for solutions of fourth-order fractional boundary value problems. Fractal Fract 3:33

    Article  Google Scholar 

  26. Marin M, Vlase S, Ellahi R, Bhatti MM (2019) On the partition of energies for the backward in time problem of thermoelastic materials with a dipolar structure. Symmetry 11:863

    Article  Google Scholar 

  27. Akgül EK (2018) Reproducing kernel Hilbert space method for nonlinear boundary-value problems. Math Methods Appl Sci 41:9142–9151

    Article  MathSciNet  Google Scholar 

  28. Bhatti MM, Ellahi R, Zeeshan A, Marin M, Ijaz N (2019) Numerical study of heat transfer and Hall current impact on peristaltic propulsion of particle-fluid suspension with compliant wall properties. Mod Phys Lett B 33:1950439

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China

    Waqar A. Khan & S. Z. Abbas

  2. Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif, 12010, Azad Jammu & Kashmir, Pakistan

    Waqar A. Khan

  3. Department of Mathematics, Riphah International University, Faisalabad Campus, Satina Road, Faisalabad, Pakistan

    M. Ijaz Khan

  4. Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, Lebanon

    S. Kadry

  5. Department of Mathematics and Statistics, PMAS Arid Agriculture University Shamsabad, Rawalpindi, 46300, Pakistan

    S. Farooq

  6. School of Engineering, University of Portsmouth, Winston Churchill Avenue, Portsmouth, PO1 2UP, UK

    M. Imran Khan

  7. Department of Mathematics and Statistics, Hazara University, Mansehra, KPK, Pakistan

    S. Z. Abbas

Authors
  1. Waqar A. Khan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Ijaz Khan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Kadry
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Farooq
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. M. Imran Khan
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. S. Z. Abbas
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to M. Ijaz Khan or M. Imran Khan.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khan, W.A., Khan, M.I., Kadry, S. et al. Transportation of water-based trapped bolus of SWCNTs and MWCNTs with entropy optimization in a non-uniform channel. Neural Comput & Applic 32, 13565–13576 (2020). https://doi.org/10.1007/s00521-020-04766-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-020-04766-1

Keywords

Search

Navigation