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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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
- Differential Equation
- Boundary Layer
- Ordinary Differential Equation
- Velocity Profile
- Similarity Transformation