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# As shown in the figure below, an incompressible liquid flows steadily and vertically upward in a circular cross-sectional pipe. At section (1), the velocity

## As shown in the figure below, an incompressible liquid flows steadily and vertically upward in a circular cross-sectional pipe. At section (1), the velocity profile over the cross-sectional area is uniform at U. At 1) 1/10), where umax is the centerline velocity in the axial z-direction, R is the pipe radius, and 7 is the radius from the pipe axis. section (2), the flow is turbulent, and the velocity profile is u = Umax (1-)" Determine the ratio for this flow. 231/200. 21. 60/49. None of the other options is valid. Z u(r) g Section (2) R- Section (1) 50 Unless otherwise stated, assume gravitational acceleration g = 9.81 m/s and the density of water to be 1000 kg/m. Unless otherwise stated, give all numerical answers to 3 significant figures, such as 21.3, 2.13e4, etc. Please note that one severe shortcoming of Canvas is that all numerical answers entered have a maximum precision of 1e-04 (3e-05 will be converted to 0; 7.65e-04 will be converted to 0.0008, etc.). Please take note of the units of dimensional quantities. Question 3 1 pts The figure below shows water entering and leaving a cylindrical tank of diameter d. The instantaneous water level in the tank is h at time instant t. Determine the rate of change of h with respect to time (d) if d = 0.5 m, D = 8 cm, V = 0.8 m/s, D = 6 cm, V = 4 m/s, Q3 = 7 x 103 m/s. Note that he is positive (negative) if h is increasing (decreasing) with respect to time. dh dt cm/s. 3 V D = 8 cm Water Q3 (2) V D = 6 cm

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