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Unsteady MHD Flow Past a Stretching Sheet Due to a Heat Source/Sink

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Dynamical Systems and Methods

Abstract

In this paper a study is carried out to analyze the unsteady heat transfer effects due to a sudden introduction of heat source/sink on a steady viscous boundary layer MHD flow and heat transfer over a linearly stretching sheet subjected to a constant temperature. Governing boundary layer equations have been solved by an implicit finite difference method. Numerical results show that the steady state is reached quickly for a heat sink or for a large Prandtl number. The time to reach steady state increases under magnetic field. Upto a critical value of the strength of heat source, steady solution exists.

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References

  1. Liu IC (2005) A note on heat and mass transfer for a hydromagnetic flow over a stretching sheet. Int Commun Heat Mass Transf 32:1075–1084

    Article  Google Scholar 

  2. Xu H (2005) An explicit analytic solution for convective heat transfer in an electrically conducting fluid at a stretching surface with uniform free stream. Int J Eng Sci 43:859–874

    Article  MATH  Google Scholar 

  3. Abel MS, Mahesha N (2008) Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation. Appl Math Model 32:1965–1983

    Article  MathSciNet  MATH  Google Scholar 

  4. Khan SK (2006) Heat transfer in a viscoelastic fluid flow over a stretching surface with heat source/sink, suction/blowing and radiation. Int J Heat Mass Transf 49:628–639

    Article  MATH  Google Scholar 

  5. Pal D, Talukdar B (2010) Perturbation analysis of unsteady magnetohydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction. Commun Nonlinear Sci Numer Simul 15:1813–1830

    Article  MathSciNet  MATH  Google Scholar 

  6. Ishak A, Nazar R, Pop I (2009) Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature. Nonlinear Anal Real World Appl 10:2909–2913

    Article  MathSciNet  MATH  Google Scholar 

  7. Liu IC, Andersson HI (2008) Heat transfer in a liquid film on an unsteady stretching sheet. Int J Therm Sci 47:766–772

    Article  Google Scholar 

  8. Chen C-H (2006) Effect of viscous dissipation on heat transfer in a non-Newtonian liquid film over an unsteady stretching sheet. J Non-Newton Fluid Mech 135:128–135

    Article  MATH  Google Scholar 

  9. El-Aziz MA (2009) Radiation effect on the flow and heat transfer over an unsteady stretching sheet. Int Commun Heat Mass Transf 36:521–524

    Article  Google Scholar 

  10. Tsai R, Huang KH, Huang JS (2008) Flow and heat transfer over an unsteady stretching surface with non-uniform heat source. Int Commun Heat Mass Transf 35:1340–1343

    Article  Google Scholar 

  11. Mukhopadhyay S (2009) Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium. Int J Heat Mass Transf 52:3261–3265

    Article  MATH  Google Scholar 

  12. Char M-I (1994) Heat transfer in a hydromagnetic flow over a stretching sheet. Wärme-und Stoffübertragung 29:495–500

    Google Scholar 

  13. Kumari M, Nath G (2009) Analytical solution of unsteady three-dimensional MHD boundary layer flow and heat transfer due to impulsively stretched plane surface. Commun Nonlinear Sci Numer Simul 14:3339–3350

    Article  MATH  Google Scholar 

  14. Muthucumaraswamy R, Ganesan P (2000) Flow past an impulsively started vertical plate with constant heat flux and mass transfer. Comput Methods Appl Mech Eng 187:79–90

    Article  MATH  Google Scholar 

  15. Kumaran V, Vanav Kumar A, Pop I (2010) Transition of MHD boundary layer flow past a stretchng sheet. Commun Nonlinear Sci Numer Simul 15:300–311

    Article  MATH  Google Scholar 

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Correspondence to A. K. Banerjee .

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Banerjee, A.K., Kumar, A.V., Kumaran, V. (2012). Unsteady MHD Flow Past a Stretching Sheet Due to a Heat Source/Sink. In: Luo, A., Machado, J., Baleanu, D. (eds) Dynamical Systems and Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0454-5_16

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  • DOI: https://doi.org/10.1007/978-1-4614-0454-5_16

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