Summary
The equations of momentum and continuity of a free, axisymmetrical jet for an incompressible, inelastic, non-Newtonian fluid in isothermal flow are solved. Using the boundary layer approximations and a similarity transformation the resulting non-linear third order ordinary differential equation is solved numerically. Velocity profiles are obtained and compared to previously known solutions for the two-dimensional jet. The significance of the results is discussed in detail.
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Acrivos, A., E. E. Petersen and M. J. Shah, Amer. Inst. Chem. Engs. J. 6 (1960) 312.
Andrade, E. N. da Costa and H. S. Tsien, Proc. Phys. Soc. London 49 (1937) 381.
Gutfinger, C., M.Sc. thesis, Technion — Israel Inst. Technology, 1962. pp. 30/1.
Gutfinger, C. and R. Shinnar, Paper presented at the annual A.I.Ch.E. meeting, Houston, Texas, 1963.
Pai, Shih-I, Fluid Dynamics of Jets, D. van Nostrand, New-York, 1954, pp. 105/6.
Rotem, Z. and R. Shinnar, Chem. Engng. Sc. 15 (1961) 130.
Schowalter, R. W., Amer. Inst. Chem. Engs. J. 6 (1960) 24.
Schlichting, H., Z. Angew. Math. Mech. 13 (1933) 260.
Sepan, A. V. Philco Program Report No. 9, 1960.
Squire, H. B., Quart. J. Appl. Maths. 4 (1951) 321.
Tollmien, W., Z. Angew. Math. Mech. 4 (1926) 468.
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Rotem, Z. The axisymmetrical free laminar jet of an incompressible pseudoplastic fluid. Appl. sci. Res. 13, 353–370 (1964). https://doi.org/10.1007/BF00382062
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DOI: https://doi.org/10.1007/BF00382062