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Numerical solutions for unsteady flow past a semi-infinite inclined plate with temperature oscillations

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Abstract

A study of the velocity and thermal boundary layers on a semi-infinite inclined plate with temperature oscillations is presented in this work. The non-linear, coupled parabolic integro-partial differential equations governing flow and heat transfer have been solved numerically using an implicit finite difference scheme of Crank-Nicolson type. The numerical values for the flow field, temperature, shearing stress, and heat transfer coefficients are presented in a graphical form. It is observed that the velocity and temperature profiles decrease as the frequency parameter increases.

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References

  1. T. Fujii and H. Imura, Natural Convection heat transfer from a plate with arbitrary inclination, Int.J. Heat Mass Tr. 15 (1972) 1873–1886.

    Google Scholar 

  2. L. Pera and B. Gebhart Natural Convection boundary layer flow over horizontal and slightly inclined surfaces, Int. J. Heat Mass Tr, 16 (1973) 1131–1146.

    Article  Google Scholar 

  3. T. S. Chen H. C. Tien and B. F. Armaly, Natural Convection on horizontal, inclined and vertical plates with variable surface temperature or heat flux, Int. J. Heat Mass Transfer. 29 (1986) 1465–1478.

    Article  MATH  Google Scholar 

  4. K. Ekambavannan and P. Ganesan, Finite difference solution of unsteady natural convection boundary layer flow over an inclined plate with variable surface temperature, Wärme and Stoffübertragung, 30 (1994), 63–69.

    Google Scholar 

  5. M. D. Kelleher and K. T. Yang, Heat transfer responses of laminar free convection boundary layers along a vertical heated plate to surface temperature oscillations, J. Appl. Math. Phys. 19 (1968) 31–44.

    Article  MATH  Google Scholar 

  6. V. M. Soundalgekar and M. R., Patil, Stoke’s problem for a vertical infinite plate with variable temperature, Astrophysics and Space Sci. 59 (1978) 503–506.

    Article  Google Scholar 

  7. V. M. Soundalgekar, Free convection effects on the flow past an infinite vertical oscillating plate, Astrophysics and Space Sci. 64 (1979) 165–171.

    Article  Google Scholar 

  8. V. M. Soundalgekar, Unsteady forced and free convective flow past an infinite vertical porous plate with oscillating wall temperature and constant suction, Astrophysics and Space Sci,66 (1979) 223–233.

    Article  Google Scholar 

  9. R. L. Verma, Free convection fluctuating boundary layer on a horizontal plate, J.Appl. Math. Mech, 63 (1982) 483–487.

    Google Scholar 

  10. V. M. Soundalgekar, N. S. Birajdar and V. K. Darwhekar, Mass-Transfer effects on the flow past an impulsively started infinite vertical plate with variable temperature or constant heat flux, Astrophysics and Space Sci. 100 (1984) 159–164.

    Article  Google Scholar 

  11. M. A. Hossain, Simultaneous heat and mass transfer on oscillatory free convection boundary layer flow, Int. J. Energy Research, 12 (1998) 205–206.

    Article  Google Scholar 

  12. U. N. Das R. K. Deka and V. M. Soundalgekar, Transient free convection flow past an infinite vertical plate with periodic temperature variation, Trans. ASME, J. Heat Tr. 121 (1999) 2629–2632.

    Google Scholar 

  13. M. A. Hossain, S. K. Das and I. Pop, Heat transfer response of MHD free convection along a vertical plate to surface temperature oscillations, Int. J. Nonlinear Mechanics. 33 (1998) 541–553.

    Article  MATH  Google Scholar 

  14. Shripad T. Revankar, Free convection effect on a flow past an impulsively started or oscillating infinite vertical plate, Mechanics Research Communications. 27(2) (2000) 241–246.

    Article  MATH  Google Scholar 

  15. J. Li, D. Ingham and I. Pop, Natural convection from a vertical plate with a surface temperature oscillation, Int. J. Heat Mass Tr, 44 (2001) 2311–2322.

    Article  MATH  Google Scholar 

  16. T. Lorenzo and J. Padet, Parametric study of transient free convection heat transfer, Int. J. Heat Mass Tr. 45 (2002) 2629–2632.

    Article  MATH  Google Scholar 

  17. H. P. Rani and R. Devaraj, Numerical solution of unsteady flow past a vertical cylinder with temperature oscillations, Forschung im Ingenieurwesen. 68 (2003) 75–78.

    Article  Google Scholar 

  18. Nawaf H. Saeid., Periodic free convection from vertical plate subjected to periodic surface temperature oscillating, Int.J thermal sci.43 (2004) 569–574.

    Article  Google Scholar 

  19. B. Carnahan, H. A. Luther and J. O. Wilkes, Applied Numerical Methods. John Wiley and Sons, 1969.

Download references

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Correspondence to Kwang-Yong Kim.

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This paper was recommended for publication in revised form by Associate Editor Yang Na

G. Palani received his B.Sc. and M.Sc. degrees from Madras University, India, in 1991 and 1993, respectively, and his Ph.D. degree from Anna University, India in 2001. Dr. G. Palani is currently a Post Doctoral Research Fellow at the School of Mechanical Engineering of Inha University in Incheon, Korea.

Kwang-Yong Kim received his B.S. degree from Seoul National University in 1978, and his M.S. and Ph.D. degrees from the Korea Advanced Institute of Science and Technology (KAIST), Korea, in 1981 and 1987, respectively. He is currently a professor and the chairman of the School of Mechanical Engineering of Inha University, Incheon, Korea. Professor Kim is also the current editor-inchief of the Transactions of Korean Society of Mechanical Engineers (KSME), the editor-in-chief of the International Journal of Fluid Machinery and Systems (IJFMS), and the chief vice president of the Korean Fluid Machinery Association (KFMA). He is likewise a fellow of the American Society of Mechanical Engineers (ASME).

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Palani, G., Kim, KY. Numerical solutions for unsteady flow past a semi-infinite inclined plate with temperature oscillations. J Mech Sci Technol 23, 1710–1717 (2009). https://doi.org/10.1007/s12206-009-0415-3

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  • DOI: https://doi.org/10.1007/s12206-009-0415-3

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