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A theoretical study of the effect of a non-uniform heat source on heat transfer in a viscoelastic liquid flow over a stretching sheet

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Języki publikacji
EN
Abstrakty
EN
A theoretical study of heat transfer in a visco-elastic liquid flow due to a stretching sheet in the presence of non-uniform heat generation / absorption is investigated. The stretching of the sheet is assumed to be proportional to the perpendicular distance from the slit. Two different temperature conditions are studied, viz., (i) the sheet with the prescribed surface temperature (PST) and (ii) the sheet with the prescribed wall heat flux (PHF). The non-linear boundary layer equations for momentum are converted into non-linear ordinary differential equations by means of a similarity transformation and the same is solved exactly. The heat transport equation with variable coefficients is transformed into a confluent hypergeometric differential equation and solved analytically. The effect of various parameters on the temperature distribution is presented graphically. Present results are compared with the existing theoretical data and found in good agreement with these results. The results have technological applications in liquid based systems involving stretchable materials.
Rocznik
Strony
1039--1052
Opis fizyczny
Bibliogr. 21 poz., tab., wykr.
Twórcy
autor
autor
Bibliografia
  • Ali M.E. (1995): On thermal boundary layer on a power law stretched surface with suction and injection. - Int. J. Heat Fluid Flow, vol.16, No.4, pp.280-290.
  • Bhattacharya S., Pal A. and Gupta A.S. (1998): Heat transfer in the flow of a visco-elastic fluid over a stretching surface. - Heat Mass Transfer, vol.34, pp.41-45
  • Char M.I. and Chen C.K. (1988): Temperature field in non-Newtonian flow over a stretching plate with variable heat flux. - Int. J. Heat Mass Transfer, vol.31, pp.917-921.
  • Chen C.K. and Char M.I. (1988): Heat transfer of a continuous stretching surface with suction or blowing. - J. Math. Anal. Appl., vol.135, pp.568-580.
  • Emad M. Abo-Eladahab and Mohamed A. El Aziz (2004): Blowing/Suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption. - Int. J. Therm. Sci., vol.43, pp.709-719.
  • Erickson L.E., Fan L.T. and Fox V.G. (1966): Heat and mass transfer on a moving continuous flat plate with suction or injection. - Indust. Eng. Chem. Fund., vol.5, pp.19-25.
  • Grubka L.J. and Bobba K.M. (1985): Heat transfer characteristics of a continuous stretching surface with variable temperature. - ASME J. Heat Transfer, vol.107, pp.248-250.
  • Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction or blowing. - Can. J. Chem. Eng., vol.55, pp.744-746.
  • Nataraja H.R., Sharma M.S. and Nageswara Rao B. (1998): Non-similar solutions for flow and heat transfer in a visco-elastic fluid over a stretching sheet. - Int. J. Non-Lin. Mech., vol.33, pp.357-361.
  • Postelnicu A. and Pop I. (1999): Similarity solutions of free convection boundary layers over vertical and horizontal surfaces in porous media with internal heat generation. - Int. Comm. Heat Mass Transfer, vol.26, No.8, pp.1183-1191.
  • Postelnicu A., Grosan T. and Pop I. (2001): The effect of variable viscocity on forced convection flow past a horizontal flat plate in a porous medium with internal heat generation. - Mech. Res. Comm., vol.28, pp.331-337.
  • Postelnicu A., Grosan T. and Pop I. (2000): Free convection boundary layer over a vertical permeable plate in a porous medium with internal heat generation. - Int. Comm. Heat Mass Transfer, vol.27, No.5, pp.729-738.
  • Rajagopal K.R., Na T.Y. and Gupta A.S. (1984): Flow of a visco-elastic fluid over a stretching sheet. - Rheol. Acta, vol.23, pp.213-215.
  • Sakiadis B.C. (1961): Boundary layer behavior on continuous solid surfaces: I Boundary layer equations for two dimensional and axisymmetric flow. - AIChE. J., vol.7, pp.26-28.
  • Sakiadis B.C. (1961): Boundary layer behavior on continuous solid surfaces: II Boundary layer on a continuous flat surface. - AIChE. J., vol.7, No.2, pp.221-225.
  • Siddheshwar P.G. and Mahabaleshwar U.S. (2005): Effects of radiation and heat source on MHD flow of a visco-elastic liquid and heat transfer over a stretching sheet. - Int. J. Non-Lin. Mech., vol.40, pp.807-821.
  • Sonth R.M., Khan S.K., Abel M.S. and Prasad K.V. (2002): Heat and mass transfer in a visco-elastic fluid flow over an accelerating surface with heat source/sink and viscous dissipation. - Int. J. Heat and Mass Transfer, vol.38, pp.213-220.
  • Soundalgekar V.M. and Ramanamurthy T.V. (1980): Heat transfer in the flow past a continuous moving plate with variable temperature. - Wärme und Stoffübertragung, vol.14, pp.91-93.
  • Tsou F.K., Sparrow F.K. and Goldstein R.J. (1967): Flow and heat transfer in the boundary layer on a continuous moving surface. - Int. J. Heat Mass Trans., vol.10, pp.219-223.
  • Vajravelu K. and Nayfeh J. (1993): Convective heat transfer at a stretching sheet. - Acta Mech., vol.96, pp.47-54.
  • Vajravelu K. and Rollins D. (1992): Heat transfer in electrically conducting fluid over a stretching surface. - Int. J. Non-Lin. Mech., vol.27, No.2, pp.265-277.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0003-0009
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