Non-Dimensionalize the differential equation: dh - fu = -g dy First find the constants f, b, and g. u and v are velocity components, and h is height. dv dt - bv
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- Q2 : Use the dimensional analysis to find the mistakes in the given equation that is considered as surface area of funnel: Equation = r2 + ur² L Q3:b) Figure Q4-b illustrates a gate of radius 4 m and of 1 direction of the resultant pressure force acting on the gate. Water surface S 2 m P Fig. Q4-b 30 4 m Support width. Find the magnitude andPressure in accelerated rigid body motions we use the small, cubical element of fluid shown in Figure below and consider it to be part of a larger mass of fluid. If the fluid was being accelerated, then the sum of the forces acting on it, in the direction of the acceleration, must equal the mass times the acceleration. For the cubical element of fluid being accelerated in the vertical direction, we rewrite as 2= Az Az z-0 Direction of gravity
- Simplify the navierstokes euq to show the governing equ for ux is given in the second imageA vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 12 m, the height h of air above the water level is 2 m, and the width w of the gate is 10 m. Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m³.) 1040542 12 m XN 10 m 2 m water level ⓇA vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 24 m, the height h of air above the water level is 4 m, and the width w of the gate is 4 m. Find the hydrostatic force against the gate. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the mass density of water is 1000 kg/m3.)
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