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Hydraulic
,
Fluid Mechanics
Fluid Mechanics and Hydraulic Machines
354 SOLVED PROBLEMS
Question: 1.3
30 kg of oil has been poured in the cubical tank with all sides of 0.3 m. Find the mass density and specific gravity. ...
Verified Answer:
Given Mass of oil = 30 kg Length of side of cubica...
Question: 1.4
1.5 m³ of water has been poured in a conical tank of 2 m height and 1 m of base radius, as shown in Figure 1.5. Find the height of the free surface from the top of the cone. ...
Verified Answer:
Given,
\text { Volume of water, } V_{\text...
Question: 1.5
A test tube is containing 100 ml water at density 1000 kg/m³ at 10°C, with height of water column 20 cm. When the test tube is heated to 90° C, the density of the water decreases to 920 kg/m³. Calculate the height of water column at 90° C, while assuming the no evaporation and coefficient of ...
Verified Answer:
Given, At 10 °C,
\text { Volume of wa...
Question: 1.2
Specific gravity of ethyl alcohol is 0.75. Calculate its mass density and weight density. ...
Verified Answer:
Given, G = 0.75 Since,
G=\frac{\rho_{\t...
Question: 1.7
A liquid is having the viscosity of 7.5 × 10^-4 Pa s. If the strain rate is 5000 s^-1. Calculate the shear stress required to deform the liquid. ...
Verified Answer:
Given,
\text { Viscosity, } \mu=7.5 \times...
Question: 1.8
Determine the viscosity of lubricant between two flat plates, one fixed and other moving with velocity 0.60 m/s under a force of 5 N/m². The plates are 0.5 mm apart. ...
Verified Answer:
Given, Velocity, V = 0.6 m/s Force, F = 5 N/m² [la...
Question: 1.9
A 50 × 50 mm plate is moving on a 0.2 mm thick fluid layer with a velocity of 20 mm/s (Figure 1.9). Determine the force and power required to maintain the constant velocity if the viscosity of the fluid film is 1 poise. ...
Verified Answer:
Given,
\text { Thickness of fluid film }=0...
Question: 1.6
A fluid having viscosity 0.05 Pa s has been filled between two plates for lubricating the movement. Distance between the plates is 5 mm. Compute the shear stress if the upper plate moves at a velocity of 2 m/s (Figure 1.7 and 1.8). Assume the velocity distribution as linear. ...
Verified Answer:
Given, Viscosity of fluid, μ = 0.05 Pa s Distance ...
Question: 1.10
A Newtonian fluid having viscosity, μ = 0.4 Ns/m², fills the gap between two parallel infinite plates which are 25 mm apart (Figure 1.10). Calculate the force required to move a thin plate of 0.2 m² at a constant velocity at 1 m/s which has been placed (a) at middle of two plates (b) at 10 mm apart ...
Verified Answer:
Given, Viscosity of fluid, μ= 0.4 Ns/m² Distance o...
Question: 1.13
Fluid flowing over a flat plate has dynamic viscosity of 0.8 Ns/m². Find the velocity gradient and intensity of shear stress at y = 0 m, y = 0.5 m, y = 1 m and y = 1.5 m if the velocity distribution is parabolic and parabola is having vertex at A and origin at B, as shown in the Figure 1.12. ...
Verified Answer:
Given, Dynamic viscosity of fluid, μ = 0.8 Ns/m² V...
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