A fluid (sp. gr. = 0.9, u= 1.2 Pa-s) flows in a laminar state between two stationary parallel plates set 4 cm apart. If the steady discharge is 800 cm³/s per cm width of plates, the shear stress at distance 1 cm from either boundary is.
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- a rectangular channel that is 10m wide carries a flow rate of 15.1 m^3/s at a point when water is 1.5m deep. 1.compute the average shearing stress on the boundary surface 2. find the specific energyA cylindrical tank has a mean radius of 40 cm and thickness of 10 cm. It is subjected to an external pressure of 140 kg/cm2 and maximum internal pressure is 900 kg/cm2 . Determine the maximum internal tangential stress of the tank. A. 3,884.7 kg/cm2 C. 1.7684 kg/cm2 B. 4,623.6 kg/cm2 D. 2,947.5 kg/cm2A sector gate, of radius 4 m and length 5m, controls the flow of water in a horizontalchannel. For the (equilibrium) conditions shown in figure, determine the total hydrostaticforce in Newton and the angle in radians it projects from the horizontal reaction on the gate.
- A spherical pressure vessel has an inner radius of 1.5 m and a wall thickness of 12 mm. Draw Mohr’s circle for the state of stress at a point on the vessel and explain the significance of the result. The vessel is subjected to an internal pressure of 0.56 MPaThe wall thickness of a 4-m-diameter spherical tank is 3/4 in. Calculate the allowable internal pressure if the stress is limited to 60MPaAn open tank 1.8 m. by 1.8 m. and 1.3 m. deep contains water at a depth of 0.90 m. The weight of the tank is 3500 N. The tank is acted by an unbalanced force of 12000 N parallel to a pair of sides. Determine: a. Acceleration of the tank b. Max pressure at the bottom of the tank c. Force acting on the side with greatest depth
- A cylindrical tank having a diameter of 2 meters and wall thicknessof 3 mm is filled with 2.4 meter deep of water. Unit weight of wateris 9.81 kN/m3.Calculate the maximum circumferential stress in the tank in MPa.Hint: Pressure = Unit weight of water x height of water.For linear stress variation over the base of the dam of the figure shown, find (a) the eccentricity of the resultant reaction in meters and compute (b) the maximum and (c) minimum pressure intensity at the base in kPa. Neglect hydrostatic upliftThe 280 kg, 6m wide rectangular gate shown is hinged at B and leans against the floor at A making an angle of 45deg with the horizontal. The gate is to be opened from its lower edge by applying a normal force P at its center. a. Determine the magnitude of the hydraulic force acting on the gate using the hydrostatic panel equation. Express your answer in kN. b. Determing the minimun force P required to open the seawater gate. Express your answer in kN.
- A horizontal bend in a pipeline conveying 1m^3/s of water gradually reduces from 600mm to 300mm in diameter and deflects the flow through an angle of 60 degrees. At the larger end, the pressure is 170kN/m^2. Determine the magnitude of the force exerted on the bend.A thin spherical shell 1 m in diameter with its wall of 1.2 cm thickness is filled with a fluid at the atmospheric pressure. What intensity of pressure will be developed in it if 175 cm3 more fluid is pumped into it? Also calculate the circumferential stress at that pressure and the increase in diameter. Take: E = 200 GN/m2, and Poisson’s Ratio = 0.3Fluid Mechanics Problem 1) A rectangular gate 3 meters high and 1.2 meters wide is hinged at the top. A force to keep the gate closed is applied at the bottom with an angle of 45 degrees with the veritcal. Compute the following if the water surface is 0.9 meters below the top of the gate. Use 9.81kN/m^3 as water's specific weight. a. the total hydrostatic force acting on the gate in kN. b. the distance of the total hydrostatic force measured from the liquid surface in meter. c. the magnitude of the force at the bottom of the gate in kN. 2) Use 9.81kN/m^3 as water's specific weight. Consider the rectangular gate shown in the figure. If the gate has a length of 2 meters, determine: a. the force exerted by the water on the left side of the gate in kN. b. the force exerted by the water on the right side of the gate in kN. c. the horizontal force at B required to turn the gate about the hinge in kN.