Skip to main content
SpringerLink
Log in

On a magnetohydrodynamic flow of the Casson fluid with partial slip and thermal radiation

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A magnetohydrodynamic flow of the Casson fluid over a stretching surface in the presence of the slip condition, heat transfer, and thermal radiation is considered. The effects of the skin friction coefficient and local Nusselt number on flow parameters are analyzed numerically. The present results are compared with the existing limiting solution.

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

Similar content being viewed by others

References

  1. M. Jamil, C. Fetecau, and M. Imran, “Unsteady Helical Flows of Oldroyd-B Fluids,” Comm. Nonlinear Sci. Numer. Simulat. 16, 1378–1386 (2011).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. M. Nazar, C. Fetecau, D. Vieru, and C. Fetecau, “New Exact Solutions Corresponding to the Second Problem of Stokes for Second Grade Fluids,” Nonlinear Anal.: Real World Appl. 11, 584–591 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  3. C. Fetecau, T. Hayat, J. Zierep, and M. Sajid, “Energetic Balance for the Rayleigh–Stokes Problem of an Oldroyd-B Fluid,” Nonlinear Anal.: Real World Appl. 12, 1–13 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  4. S. W. Wang and W. C. Tan, “Stability Analysis of Double-Diffusive Convection of Maxwell Fluid in a Porous Medium Heated from Below,” Phys. Lett. A 372, 3046–3050 (2008).

    Article  ADS  MATH  Google Scholar 

  5. W. C. Tan and M. Y. Xu, “Unsteady Flows of a Generalized Second Grade Fluid with the Fractional Derivative Model between Two Parallel Plates,” Acta Mech. Sinica 20, 471–476 (2004).

    Article  MathSciNet  Google Scholar 

  6. Z. Y. Zhang, C. J. Fu, W. C. Tan, and C. Y. Wang, “On Set of Oscillatory Convection in a Porous Cylinder Saturated with a Viscoelastic Fluid,” Phys. Fluids 19, 98–104 (2007).

    Google Scholar 

  7. M. M. Rashidi, A. J. Chamkha, and M. Keimanesh, “Application of Multi-Step Differential Transform Method on Flow of a Second Grade Fluid over a Stretching or Shrinking Sheet,” Amer. J. Comput. Math. 6, 119–128 (2011).

    Article  Google Scholar 

  8. N. Ali, T. Hayat, and S. Asghar, “Peristaltic Flow of Maxwell Fluid in a Channel with Compliant Walls,” Chaos, Solitons Fractals 39, 407–416 (2009).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. T. Hayat, S. A. Shehzad, M. Qasim, and S. Obaidat, “Flow of Second Grade Fluid with Convective Boundary Conditions,” Thermal Sci. 15, 253–261 (2011).

    Article  Google Scholar 

  10. F. E. Alsaadi, S. A. Shehzad, T. Hayat, and S. J. Monaquel, “Soret and Dufour Effects on the Unsteady Mixed Convection Flow over a Stretching Surface,” J. Mech. 29, 623–632 (2013).

    Article  Google Scholar 

  11. N. Casson, Rheology of Dispersed Systems (Pergamon Press, Oxford, 1959).

  12. M. Nakamura and T. Sawada, “Numerical Study on the Flow of a Non-Newtonian Fluid through an Axisymmetric Stenosis,” Trans. ASME, J. Biomech. Eng. 110, 137–143 (1988).

    Article  Google Scholar 

  13. R. B. Bird, G. C. Dai, and B. J. Yarusso, “The Rheology and Flow of Viscoplastic Materials,” Rev. Chem. Eng. 1, 1–83 (1983).

    Article  Google Scholar 

  14. L. J. Crane, “Flow Past a Stretching Plate,” Z. Angew. Math. Phys. 21, 645–647 (1970).

    Article  Google Scholar 

  15. S. Mukhopadhyay, M. Arif Golam, and M. Ali Wazed, “Effects of Partial Slip on Chemically Reactive Solute Transfer in the Boundary Layer Flow over an Exponentially Stretching Sheet with Suction/Blowing,” J. Appl. Mech. Tech. Phys. 54 (6), 928–936 (2013).

    Article  ADS  Google Scholar 

  16. S. Mukhopadhyay, P. R. De, and G. C. Layek, “Heat Transfer Characteristics for the Maxwell Fluid Flow Past an Unsteady Stretching Permeable Surface Embedded in a Porous Medium,” J. Appl. Mech. Tech. Phys. 54 (3), 385–396 (2013).

    Article  ADS  MATH  Google Scholar 

  17. T. Hayat, M. Qasim, and Z. Abbas, “Radiation and Mass Transfer Effects on the Magnetohydrodynamic Unsteady Flow Induced by a Stretching Sheet,” Z. Naturforsch. A 64, 231–239 (2010).

    ADS  Google Scholar 

  18. T. Hayat and M. Qasim, “Influence of Thermal Radiation and Joule Heating on MHD Flow of a Maxwell Fluid in the Presence of Thermophoresis,” Int. J. Heat Mass Transfer 53, 4780–4788 (2010).

    Article  MATH  Google Scholar 

  19. S. Mukhopadhyay, “Effect of Thermal Radiation on Unsteady Mixed Convection Flow and Heat Transfer over a Stretching Surface in a Porous Medium,” Int. J. Heat Mass Transfer 52, 3261–3265 (2009).

    Article  MATH  Google Scholar 

  20. T. Hayat, S. A. Shehzad, and M. Qasim, “Mixed Convection Flow of a Micropolar Fluid with Radiation and Chemical Reaction,” Int. J. Numer. Methods Fluids 67, 1418–1436 (2011).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  21. T. Hayat, S. A. Shehzad, and A. Alsaedi, “Three-Dimensional Stretched Flow of Jeffery Fluid with Variable Thermal Conductivity and Thermal Radiation,” Appl. Math. Mech. (English Ed.) 34, 823–832 (2013).

    Article  MathSciNet  MATH  Google Scholar 

  22. T. Hayat, S. A. Shehzad, H. H. Al-Sulami, and S. Asghar, “Influence of Thermal Stratification on the Radiative Flow of Maxwell Fluid,” J. Brazil. Soc. Mech. Sci. Engng. 35, 381–389 (2013).

    Article  Google Scholar 

  23. C. Derek, D. C. Tretheway, and C. D. Meinhart, “Apparent Fluid Slip Athydrophobic Microchannel Walls,” Phys. Fluids 14, 1–9 (2002).

    Article  Google Scholar 

  24. S. J. Liao, Beyond Perturbation: Introduction to Homotopy Analysis Method (Chapman and Hall–CRC Press, Boca Raton, 2003).

    Book  Google Scholar 

  25. H. Xu and S. J. Liao, “Laminar Flow and Heat Transfer in the Boundary-Layer of Non-Newtonian Fluids over a Stretching Flat Sheet,” Comput. Math. Appl. 57, 1425–1431 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  26. S. Abbasbandy, “Homotopy Analysis Method for the Kawahara Equation,” Nonlinear Anal.: Real World Appl. 11, 307–312 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  27. S. Abbasbandy and A. Shirzadi, “A New Application of the Homotopy Analysis Method: Solving the Sturm–Liouville Problems,” Comm. Nonlinear Sci. Numer. Simulat. 16, 112–126 (2011).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  28. T. Hayat, S. A. Shehzad, M. Qasim, and S. Obaidat, “Radiative Flow of Jeffery Fluid in a Porous Medium with Power Law Heat Flux and Heat Source,” Nuclear Eng. Design. 243, 15–19 (2012).

    Article  Google Scholar 

  29. I. Hashim, O. Abdulaziz, and S. Momani, “Homotopy Analysis Method for Fractional IVPs,” Comm. Nonlinear Sci. Numer. Simulat. 14, 674–684 (2009).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  30. M. M. Rashidi and S. A. M. Pour, “Analytic Approximate Solutions for Unsteady Boundary-Layer Flow and Heat Transfer due to a Stretching Sheet by Homotopy Analysis Method,” Nonlinear Anal.: Modelling Control 15, 83–95 (2010).

    MathSciNet  MATH  Google Scholar 

  31. T. Hayat, S. A. Shehzad, M. Qasim, and S. Obaidat, “Steady Flow of Maxwell Fluid with Convective Boundary Conditions,” Z. Naturforsch. A 66, 417–422 (2011).

    ADS  Google Scholar 

  32. T. Hayat, S. A. Shehzad, M. Qasim, and S. Obaidat, “Thermal Radiation Effects on the Mixed Convection Stagnation-Point Flow in a Jeffery Fluid,” Z. Naturforsch. A 66, 606–614 (2011).

    ADS  Google Scholar 

  33. S. A. Shehzad, A. Alsaedi, and T. Hayat, “Influence of Thermophoresis and Joule Heating on the Radiative Flow of Jeffrey Fluid with Mixed Convection,” Brazil. J. Chem. Eng. 30, 897–908 (2013).

    Article  Google Scholar 

  34. S. A. Shehzad, T. Hayat, and A. Alsaedi, “On Flow of Thixotropic Fluid over an Exponentially Stretching Surface with Heat Transfer,” J. Appl. Mech. Tech. Phys. 57 (4), 672–680 (2016).

    Article  ADS  Google Scholar 

  35. H. I. Andersson, “Slip Flow Past a Stretching Surface,” Acta Mech. 158, 121–125 (2002).

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, 57000, Pakistan

    S. A. Shehzad & M. A. Meraj

  2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

    T. Hayat

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

Authors
  1. S. A. Shehzad
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Hayat
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Alsaedi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. M. A. Meraj
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. A. Shehzad.

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 5, pp. 176–185, September–October, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shehzad, S.A., Hayat, T., Alsaedi, A. et al. On a magnetohydrodynamic flow of the Casson fluid with partial slip and thermal radiation. J Appl Mech Tech Phy 57, 916–924 (2016). https://doi.org/10.1134/S0021894416050205

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894416050205

Keywords

Search

Navigation