Summary
In this paper, two dimensional boundary layer equations for Reiner-Philippoff fluids have been obtained for the two limiting cases when the shear stress parameter is small or large. These equations have been integrated using Karman-Pohlhausen's method in the inlet of a straight channel. Analytical expressions for the inlet length and the boundary layer thickness in both cases have been obtained. The pressure drop has also been obtained from kinetic energy end-correction.
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References
Goldstein, S., Modern Developments in Fluid Dynamics, Vol. 1, p. 309, Oxford Univ. Press, 1938.
Bogue, D. C., Ind. and Engg. Chy. 51 (1959) 874.
Kapur, J. N. and R. C. Gupta, ZAMM XLIII (1963) 135.
Shiller, L., ZAMM II (1922) 96.
Bird, R. B., W. E. Stewart and E. N. Lightfoot, Transport Phenomena, John Wiley, New York, 1962.
Kapur, J. N. and R. C. Gupta, The Mathematics Seminar III No. 1 and 2 (1963) 28.
Kapur, J. N. and R. C. Gupta, Motion of Ellis and Reiner-Philippoff fluids in pipes and channels to appear in Arch. Mech. Stos.
Schlichting, H., Boundary Layer Theory, McGraw Hill, New York, 1962.
Kapur, J. N. and R. C. Gupta, Two dimensional flow of power law fluids in the inlet length of a straight channel II. to appear in ZAMM.
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Kapur, J.N., Gupta, R.C. Two dimensional flow of Reiner-Philippoff fluids in the inlet length of a straight channel. Appl. Sci. Res. 14, 13–24 (1965). https://doi.org/10.1007/BF00382227
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DOI: https://doi.org/10.1007/BF00382227