Engineering Fluid Mechanics 1st. Edition by P. Balachandran | 9788120340725 | 8120340728

Fluid Mechanics

Engineering Fluid Mechanics

268 SOLVED PROBLEMS

Question: 8.13

Air at Mach number 1.5 pressure 300 kN/m^2, and temperature 288 K is brought to sonic velocity in a frictionless constant area duct through which heat transfer occurs. Determine the final pressure, final temperature and heat added during the process. ...

Verified Answer:

Given:

M_1=1.5 ; p_1=300 kN / m ^2 ; T_1=2...

Question: 8.17

An aircraft engine employs a subsonic inlet diffuser of area ratio 4. Free stream air at a total pressure and temperature of 1 × 10^5 N/m^2 and 570 K approaches the diffuser with a Mach number 2.2. A shock wave stands just outside the diffuser inlet. Determine the Mach number, pressure and ...

Verified Answer:

Given:

A_e / A_2=4 ; T_{01}=570 K ; p_{01}...

Question: 8.16

A compression shock occurs in a divergent air flow passage. On the upstream side of the shock, the velocity of air is 400 m/s and the pressure and temperature are 0.2 MPa and 35ºC respectively. Determine (i) Mach number and air velocity on the downstream side of the shock. (ii) change in entropy ...

Verified Answer:

Given:

p_1=0.2 MPa ; T_1=308 K ; V_1=400 ...

Question: 8.10

Dry air is travelling in an insulated constant area duct of 60 mm diameter. The flow Mach number at entry to the duct is 2.5. What is the maximum possible length of the pipe to achieve smooth flow without discontinuity if the average friction factor for the flow in the duct is 0.003. ...

Verified Answer:

Given:

M=2.5 ; D=0.06 m ; f=0.003

...

Question: 8.14

Air enters a constant area pipe with velocity 150 m/s, temperature 60°C and pressure 0.5 MN/m^2. If 180 kJ/kg of heat is added to the pipe find (i) the final pressure (ii) final Mach number (iii) change in stagnation pressure and (iv) change in entropy. ...

Verified Answer:

Given:

V_1=150 m / s ; T_1=333 K ; p_1=0....

Question: 8.20

Air approaches a wedge of half wedge angle 15° with a Mach number of 2.0. If a strong stock wave attached to the vertex is formed, find the downstream Mach number and the property ratio across the shock. ...

Verified Answer:

Given:

M_1=2.0 ; \delta=15^{\circ}

...

Question: 8.19

Air having an initial Mach number M1 = 2.0 is deflected through an angle 15° by a frictionless surface. Assuming that a weak shock wave occurs calculate (i) the downstream Mach number (ii) wave angle. ...

Verified Answer:

Given:

M_1=2.0 ; \delta=15^{\circ}

...

Question: 14.8

A hydraulic lift is designed to take a load of 80 kN. The self weight of the cage is 20 kN. The friction of the ram and cage, etc., is equivalent to an addition of 5% of the gross load on the ram. The ram of the lift has a diameter of 180 mm. Water at a steady pressure of 7 MPa is available ...

Verified Answer:

\text { Given: } W_1=80 kN : W_2=200 kN ...

Question: 14.7

Water at a pressure of 7.5 MPa is supplied to a hydraulic crane through a pipe 300 m long and 50 mm diameter. The pipe is having a friction factor of 0.01. The ram of the crane has a diameter of 0.016 m. The ratio between the movement of the load and the ram is 6. In order to overcome ...

Verified Answer:

Given:

p=7.5 MPa =7.5 \times 10^6 N / m ^...

Question: 14.6

The plunger of a hydraulic press has a diameter of 15 mm and stroke of 200 mm. It is required to raise a load of 30 kN on the ram which is 125 mm in diameter. Find the force required to be applied on the plunger to raise the load. If the load is to be raised by 500 mm, find the required number of ...

Verified Answer:

Given:

d=15 mm =0.015 m ; L=200 mm =0.2 ...