Specific gravity of a fluid is G=0.9 and viscosity =1.2 Pa-s. This fluid flows in a laminar regime between the two parallel plates fixed 3 cm apart. The discharge is 600 cm³/s/cm width of plate. Find the shear stress on the boundary in the units of Pa.
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- Consider flow of a fluid having the following velocity field: V = 3y²xî + 10yz³; +5& ft/s What are the normal stresses at point (2,4,3) if the normal stress txx is – 10 lb/ft2, and µ = 0.01 lb – s/ft2?N-S 2 A flow of a viscous fluid with µ = 1.0 μ has a velocity distribution given by u = 0.9y - y². The shear stress at y = 0.45 m is 2 (a) 0.90 N/m² (c) Zero m (b) ∞ (d) - 0.90 N/m²A 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.
- A fluid is contained between parallel plates; the bottom plate is fixed and the upper plate moves. When the distance between plates is 2 mm, a shear stress of 162 Pa develops at the upper plate when it is pulled at a velocity of 1.4 ms-1. Determine the dynamic viscosity of the fluid between the plates.8.5-14 A pressurized cylindrical tank with flat ends is loaded by torques T and tensile forces P (see figure). The tank has radius r = 50 mm and wall thickness = 3 mm. The internal pressure p = 3.5 MPa and the torque T = 450 N-m. What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of the cylinder is 72 MPa? T PPROBLEM 1 - A closed cylindrical tank 400 mm in diameter and 2.5 mm thick is subjected to an axial compressive force and uniform internal pressure. The stresses acting on an element of side is shown in the figure. What is the maximum shearing stress? а.) 20 MPа b.) 30 MPа с.) 40 MPа d.) 50 MPa т (MPa) 30 40 о (MPa) e.) none of the above 90
- 3) The kinematic viscosity of the oil filled between two concentric vertical 150 mm long cylinders is 1.5 stokes. The outer diameter of the inner cylinder is 0.2 m, and the gap between the two cylinders is 1.2 mm. The inner cylinder is rotated at 200 rpm. Determine the shear stress acting in between the cylinders if specific gravity of the oil is 0.85 and also find the force required to rotates the inner cylinder.Two parallel plates kept 295mm a part have laminar flow of oil . The lower plate is stationary and the upper plate is moving with 4.75m/s . find: a- velocity distribution formula. b- The value and position of the maximum velocity. c- The discharge per meter width. d- The shear stress at the plates. e- The difference in pressure between two points 50m apart. f- The velocity gradient at the plates. g- The velocity at 130 mm. Assume viscosity of oil to be 24.5 poise.The tank shown in figure is fabricated from 0.125-in steel plate. Calculate the maximum circumferential stress in psi caused by an internal pressure of 142 psi. a = 1.8 ft. and b = 3.0 ft.
- A cylindrical tank with its axis vertical is 1.0 m diameter and 3.6 m high. It is held together by two steel hoops, one at the top and the other at the bottom. There liquids A, B and C having specific gravities of 1.0, 2.0, and 3.0 respectively fill the tank, each having a depth of 1.2 m. On the surface, there is atmospheric pressure. Find the tensile stress in each hoop, if each hoop has a cross- sectional area of 1200 mm?.Q.5 The velocity distribution for flow over a plate is given by U=2y-y² in which u is the velocity in ms¹ at a distance y metres from the plate. Determine the shear stress in Nm-2 at the boundary and at 0.2 m from it. Dynamic viscosity of fluid is 0.9 Ns/m².1. An axial compressive load of 50 tons is applied to a metal bar of square section 2 in. by 2 in. The contraction on an 8-in gauge length is found to be 0.022 in. and the increase in thickness 0.0018in. Find the value of Young's modulus and Poisson's ratio. If in addition to the axial load of 50 tons a uniform lateral pressure of 5 tons/in² is applied to the two opposite sides of the bar in both directions, find the contraction on the 8-in gauge length and the change in thickness.