Skip to main content

Numerical Exploration of 3D Steady-State Flow Under the Effect of Thermal Radiation as Well as Heat Generation/Absorption over a Nonlinearly Stretching Sheet

  • Conference paper
  • First Online:
Applied Mathematics and Scientific Computing

Part of the book series: Trends in Mathematics ((TM))

  • 616 Accesses

Abstract

This paper aims at the study of numerical investigation into the three-dimensional steady-state flow of a nanofluid under the effect of thermal radiation as well as heat generation/absorption over a nonlinearly stretching sheet. The set of partial differential equations is transformed into ordinary differential equations by employing the suitable similarity transformations. The solution to the governing equation is obtained by using numerical techniques specifically the bvp4c function in MATLAB. A nonuniform velocity with power-law index is the boundary condition specified for solving the governing equation.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Sheikholeslami, M. Hatami, M. Ganji, D.: Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field. J. Mol. liq. 190, 112–120 (2014)

    Article  Google Scholar 

  2. Akbar, N. S. Tripathi, D. Khan, Z. H. Bég, O. A.: A numerical study of magnetohydrodynamic transport of nanofluids over a vertical stretching sheet with exponential temperature-dependent viscosity and buoyancy effects. Chem. Phys. Letts. 661, 20–30 (2016)

    Article  Google Scholar 

  3. Nadeem, S. Haq, R. U. Khan, Z. H. : Heat transfer analysis of water-based nanofluid over an exponentially stretching sheet. Alexandria Eng. J. 53, 219–224 (2014)

    Article  Google Scholar 

  4. Hayat, T. Shafique, M. Tanveer, A. Alsaedi, A.: Magnetohydrodynamic effects on peristaltic flow of hyperbolic tangent nanofluid with slip conditions and Joule heating in an inclined channel. Int. J. Heat Mass Trans. 102, 54–63 (2016)

    Article  Google Scholar 

  5. Makinde, O. Animasaun, I.: Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution. Int. J. Therm. Sci. 109, 159–171 (2016)

    Article  Google Scholar 

  6. Akbar, N. S. Huda, A. B. Tripathi, D.: Thermally developing MHD peristaltic transport of nanofluids with velocity and thermal slip effects. European Phys. J. Plus. 131, 332 (2016)

    Google Scholar 

  7. Sheikholeslami, M. Bhatti, M.: Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles. Int. J. Heat Mass Trans. 111, 1039–1049 (2017)

    Article  Google Scholar 

  8. Akbar, N. S. Tripathi, D. Beg, O. A.: MHD convective heat transfer of nanofluids through a flexible tube with buoyancy: a study of nano-particle shape effects. Advanced Powder Tech. 28, 453–462 (2017)

    Article  Google Scholar 

  9. Bhatti, M. Zeeshan, A. Ellahi, R.: Simultaneous effects of coagulation and variable magnetic field on peristaltically induced motion of Jeffrey nanofluid containing gyrotactic microorganism, Microvascular Research. 110, 32–42 (2017)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. Rushi Kumar .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Jayakar, R., Rushi Kumar, B. (2019). Numerical Exploration of 3D Steady-State Flow Under the Effect of Thermal Radiation as Well as Heat Generation/Absorption over a Nonlinearly Stretching Sheet. In: Rushi Kumar, B., Sivaraj, R., Prasad, B., Nalliah, M., Reddy, A. (eds) Applied Mathematics and Scientific Computing. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01123-9_22

Download citation

Publish with us

Policies and ethics