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Fluid Mechanics
Fluid Mechanics and Machinery
509 SOLVED PROBLEMS
Question: 10.P.7
The shear at a location 2 m from the leading edge of a flat plate was measured as 2.1 N/m². Assuming the flow to be turbulent from the start determine if air at 20°C was flowing over the plate (i) the velocity of air (ii) the boundary layer thickness and (iii) the velocity at 15 mm above the plate ...
Verified Answer:
Using equation (10.2.3)
C_{f x}=0.0594/\mat...
Question: 12.P.9
Determine the maximum discharge through a circular pipe of 2 m diameter with a bed slope of 1/1000. Also determine the depth for maximum velocity and the corresponding discharge Chezy’s constant C = 60 ...
Verified Answer:
Adopting Chezy equation (Refer problem 12.7) [late...
Question: 12.P.10
In a rectangular open channel of 5 m width the flow rate is 10 m³/s and depth of flow is 1.0 m. Determine the critical depth and the alternate depth. ...
Verified Answer:
Flow velocity, V = 10/5 × 1 = 2 m/s, Froude number...
Question: 12.P.11
Calculate the bed slope of a trapezoidal channel of bed width 6 m and horizontal to vertical side slope of 1:3. Water flows at the rate of 10 m³/s at a depth of 2 m. Assume Chezy’s constant as 50. ...
Verified Answer:
Discharge
Q=A C\ \sqrt{R_{h}}\ S_{b...
Question: 12.P.8
Derive the condition for maximum velocity of flow in a channel of circular section. ...
Verified Answer:
Refer problem Problem 12.7.
A={\frac{R^{2}}...
Question: 12.P.7
Derive the expression for depth of flow in a channel of circular section for maximum flow. ...
Verified Answer:
Refer figure. Let the flow depth be y, and Let the...
Question: 15.P.15
A centrifugal pump running at 900 rpm has an impeller diameter of 500 mm and eye diameter of 200 mm. The blade angle at outlet is 35° with the tangent. Determine assuming zero whirl at inlet, the inlet blade angle. Also calculate the absolute velocity at outlet and its angle with the tangent. The ...
Verified Answer:
The velocity diagrams are as shown. Consider inlet...
Question: 15.P.14
A centrifugal pump of impeller diameter 0.4 m runs at 1450 rpm. The blades are curved back at 30° to the tangent at the outlet. The velocity of flow is 3 m per second. Determine the theoretical maximum lift if the outlet velocity is reduced by the diffuser by 50%. ...
Verified Answer:
Inlet whirl is assumed to be zero
u_{2}={\f...
Question: 15.P.13
An axial flow pump running at 600 rpm deliver 1.4 m³/s against a head of 5 m. The speed ratio is 2.5. The flow ratio is 0.5. The overall efficiency is 0.83. Determine the power required and the blade angles at the root and tip and the diffuser blade inlet angle. Inlet whirl is zero. ...
Verified Answer:
β_{1}
– Blade angle at inlet [latex...
Question: 15.P.9
The dimensionless specific speed of a centrifugal pump is 0.06. Static head is 30 m. Flow rate is 50 l/s. The suction and delivery pipes are each of 15 cm diameter. The friction factor is 0.02. Total length is 55 m other losses equal 4 times the velocity head in the pipe. The vanes are forward ...
Verified Answer:
Frictional head is calculated first. Velocity in t...
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