Laminar airflow enters a 10 (total included angle) conical nozzle whose out- let area is 0.65...

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Laminar airflow enters a 10° (total included angle) conical nozzle whose out- let area is 0.65 times the inlet area. The inlet air velocity is 10 m/s and the initial boundary layer momentum thickness is 0.001 m. The entrance duct di- ameter is 14 cm. The kinematic viscosity of the air is 2 x 105 m²/s. Assume the core of the flow is incompressible and one-dimensional and that the flow remains entirely laminar. Use the Thwaites method to estimate the growth of 0 and 8* with distance along the nozzle. For the first attempt, assume that the free-stream velocity can be estimated sufficiently well by ignoring the presence of the boundary layer. For the second attempt, calculate the free- stream velocity from the flow area remaining after the "displacement area" from the previous attempt is subtracted from the geometric area. If this pro- cess is continued, is it likely to converge? Laminar airflow enters a 10° (total included angle) conical nozzle whose out- let area is 0.65 times the inlet area. The inlet air velocity is 10 m/s and the initial boundary layer momentum thickness is 0.001 m. The entrance duct di- ameter is 14 cm. The kinematic viscosity of the air is 2 x 105 m²/s. Assume the core of the flow is incompressible and one-dimensional and that the flow remains entirely laminar. Use the Thwaites method to estimate the growth of 0 and 8* with distance along the nozzle. For the first attempt, assume that the free-stream velocity can be estimated sufficiently well by ignoring the presence of the boundary layer. For the second attempt, calculate the free- stream velocity from the flow area remaining after the "displacement area" from the previous attempt is subtracted from the geometric area. If this pro- cess is continued, is it likely to converge?

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The Thwaites method is a technique used to estimate the growth of the boundary layer ... View the full answer