Introduction to Fluid Mechanics and Fluid Machines 2nd. Edition by Prof S K Som, G Biswas | 9780070667624 | 70667624 | Holooly

Fluid Mechanics

Introduction to Fluid Mechanics and Fluid Machines

189 SOLVED PROBLEMS

Question: 16.1

At the mean diameter, U = 200 m/s, Vf = 180 m/s, β1 = 43.9° and β2 = 13.5°. The factor λ = 0.86 and ηs = 0.85 and inlet temperature T1t is 288 K. Calculate the pressure ratio. ...

Verified Answer:

\Delta T_{s t}=\frac{0 \cdot 86 \times 200 ...

Question: 6.2

For a steady, fully developed laminar flow through a duct, the pressure drop per unit length of the duct Δ p/l is constant in the direction of flow and depends on the average flow velocity V, the hydraulic diameter of the duct Dh, the density ρ and the viscosity μ of the fluid. Find out the ...

Verified Answer:

The variables involved in the problem are [...

Question: 6.1

The vertical displacement h of a freely falling body from its point of projection at any time t is determined by the acceleration due to gravity g. Find the relationship of h with t and g by the use of Buckingham’s Pi theorem. ...

Verified Answer:

The above phenomenon can be described by the funct...

Question: 5.2

Water flows through a right-angled bend (Fig. 5.29) formed by two concentric circular arcs in a horizontal plane with the inner and outer radii of 0.15 m and 0.45 m, respectively. The centre-line velocity is 3 m/s. Assuming a two-dimensional free vortex flow, determine (a) the tangential and normal ...

Verified Answer:

Here the streamlines are concentric circular arcs,...

Question: 2.1

What is the intensity of pressure in the ocean at a depth of 1500 m, assuming (a) salt water is incompressible with a specific weight of 10050 N/m³ and (b) salt water is compressible and weighs 10050 N/m³ at the free surface? E (bulk modulus of elasticity of salt water) = 2070 MN/m² (constant). ...

Verified Answer:

(a) For an incompressible f luid, the intensity of...

Question: 11.2

Oil of kinematic viscosity 10^-5 m²/s flows at a steady rate through a cast iron pipe of 100 mm diameter and of 0.25 mm average surface roughness. If the loss of head over a pipe length of 120 m is 5 m of the oil, what is the flow rate through the pipe? ...

Verified Answer:

Since the velocity is unknown, Re is unknown. Rela...

Question: 11.3

Determine the size of a galvanized iron pipe needed to transmit water a distance of 180 m at 0.085 m³/s with a loss of head of 9 m. (Take kinematic viscosity of water ν = 1.14 × 10^-6 m²/s, and the average surface roughness for galvanized iron = 0.15 mm). ...

Verified Answer:

From (11.6b),

h_{f}=\frac{\Delta p^{...

Question: 11.1

Determine the loss of head in friction when water at 15 ºC flows through a 300 m long galvanized steel pipe of 150 mm diameter at 0.05 m³/s. (kinematic viscosity of water at 15 ºC = 1.14 × 10^-6 m²/s. Average surface roughness for galvanized steel = 0.15 mm). Also calculate the pumping power ...

Verified Answer:

Average velocity of flow

V=\frac{0.05}{(\pi...

Question: 11.4

A pipe network with two loops is shown in Fig. 11.9. Determine the flow in each pipe for an inflow of 5 units at the junction A and outflows of 2.0 units and 3.0 units at junctions D and C respectively. The resistance R for different pipes are shown in the figure. ...

Verified Answer:

Flow direction is assumed positive clockwise for b...

Question: 10.1

Prove that where f is Φ constinuous function of ζ ...

Verified Answer:

\int_{t-T / 2}^{\overline{t+T / 2} \phi d \...

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