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Original Articles

HEAT TRANSFER THROUGH A POROUS MEDIUM OVER A STRETCHING SHEET WITH EFFECT OF VISCOUS DISSIPATION

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Pages 1513-1529 | Published online: 19 Jun 2013

References

  • Abel , M. S. , and Nandeppanavar , M. M. ( 2007 ). Effects of radiation and non-uniform heat source on MHD flow of visco-elastic fluid and heat transfer over a stretching sheet , Int. J. Appl. Mech. Eng. , 12 ( 4 ), 903 – 918 .
  • Abel , M. S. , and Nandeppanavar , M. M. ( 2008 ). Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with space and temperature dependent heat source , Int. J. Appl. Mech. Eng. , 13 ( 2 ), 293 – 309 .
  • Abel , M. S. , and Nandeppanavar , M. M. (2009). Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with non-uniform heat source/sink, Commun. Nonlinear Sci. Numer. Simul. , 14, 2120–2131.
  • Abel , M. S. , and Veena , P. ( 1998 ). Viscoelastic fluid flow and heat transfer in a porous medium over a stretching sheet , Int. J. Non-linear Mech. , 33 ( 3 ), 531 – 540 .
  • Abel , M. S. , Joshi , A. , Prasad , K. V. , and Ali , M. ( 2002 ). Hydromagnetic visco-elastic fluid flow and heat transfer over a non-isothermal stretching surface embedded in a porous medium , Int. J. Transport Phenom. , 4 , 225 – 233 .
  • Abel , M. S. , Siddheshwar , P. G. , and Nandeppanavar , M. M. ( 2007 ). Heat transfer in a viscoelastic boundary layer flow over a stretching sheet with viscous dissipation and non-uniform heat source , Int. J. Heat Mass Transf. , 50 , 960 – 966 .
  • Abel , M. S. , Sanjayanand , E. , and Nandeppanavar , M. M. ( 2008 ). Viscoelastic MHD flow and heat transfer over a stretching sheet with viscous and ohmic dissipations , Commun. Nonlinear Sci. Numer. Simul. , 13 ( 9 ), 1808 – 1821 .
  • Abramowitz , M. , and Stegun , L. A. ( 1972 ). Handbook of Mathematical Functions , National Bureau of Standards/American Mathematical Society , Providence , R.I .
  • Aouadi , M. ( 2007 ). Numerical study for micropolar flow over a stretching sheet , Comput. Mater. Sci. , 38 , 774 – 780 .
  • Carragher , P. , and Crane , L. J. ( 1982 ). Heat transfer on a continuous stretching sheet , Z. Angew. Math. Phys. , 62 , 564 – 565 .
  • Chen , C. K. , and Char , M. I. ( 1988 ). Heat transfer of a continuous stretching surface with suction or blowing , J. Math. Anal. Appl. , 135 , 568 – 580 .
  • Cortell , R. ( 2006 ). Effects of viscous dissipation and work done by deformation on MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet , Phys. Lett. A , 357 , 298 – 305 .
  • Cortell , R. ( 2008 ). Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet , Phys. Lett A , 372 , 631 – 636 .
  • Cortell Bataller , R. ( 2007 ). Viscoelastic fluid flow and heat transfer over a stretching sheet under the effects of non-uniform heat source, viscous dissipation and thermal radiation , Int. J. Heat Mass Transf. , 50 , 3152 – 3162 .
  • Crane , L. J. ( 1970 ). Flow past a stretching sheet , Z. Angew. Math. Phys. , 21 , 645 – 647 .
  • Dunn , J. E. , and Forsdick , R. L. ( 1974 ). Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade , Arch. Ration. Mech. Anal. , 56 , 191 – 252 .
  • Fosdick , R. L. , and Rajagopal , K. R. ( 1979 ). Anomalous features in the model of “second order fluids,” Arch. Ration. Mech. Anal. , 70 , 145 – 152 .
  • Gupta , P. S. , and Gupta , A. S. ( 1977 ). Heat and mass transfer on a stretching sheet with suction or blowing , Can. J. Chem. Eng. , 55 , 744 – 746 .
  • Liu , I-C. ( 2005 ). Flow and heat transfer of an electrically conducting fluid of a second grade in a porous medium over a stretching sheet subject to a transverse magnetic field , Int. J. Non-linear. Mech. , 40 , 465 – 474 .
  • Massoudi , M. , and Maneschy , C. E. ( 2004 ). Numerical solution to the flow of a second grade fluid over a stretching sheet using the method of quasi-linearization , Appl. Math. Comput. , 149 , 165 – 173 .
  • Pantokratoras , A. ( 2008 ). Comment on “Numerical study for micropolar flow over a stretching sheet”, by Moncef Aouadi [Computational Materials Science, 38, 2007, 774–780] , Comput. Mater. Sci. , 42 , 717 – 718 .
  • Pillai , K. M. C. , Sai , K. S. , Swamy , N. S. , Nataraja , H. R. , Tiwari , S. B. , and Rao , B. N. ( 2004 ). Heat transfer in a viscoelastic boundary layer flow through a porous medium , Comput. Mech. , 34 , 27 – 37 .
  • Pillitsis , S. , and Beris , A. ( 1989 ). Calculations of steady state visco-elastic flow in an undulating tube , J. Non-Newton. Fluid Mech. , 31 , 231 – 287 .
  • Rajagopal , K. R. , Na , T. Y. , and Gupta , A. S. ( 1984 ). Flow of viscoelastic fluid over a stretching sheet , Rheol. Acta , 23 , 213 – 215 .
  • Sakiadis , B. C. (1961a). Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymetric flow, AIChE J. , 7(1), 26–28.
  • Sakiadis , B. C. ( 1961b ). Boundary-layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface , AIChE J. , 7 ( 2 ), 221 – 225 .
  • Vleggaar , J. ( 1977 ). Laminar boundary layer behavior on continuous accelerating surfaces , Chem. Eng. Sci. , 32 , 1517 – 1525 .

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