Fluid Mechanics Multiple Choice Questions on “Ideal Indicator Diagram”.
1. Which among the following can be assessed based on the indicator diagram?
a) Overall performance of engine
b) Area of the reservoir
c) Load the engine can take
d) Speed of the Engine
Answer: a
Clarification: The main purpose of the indicator diagram is to asses the overall performance of the engine. It is done by assessing the performance of each unit of the main engine. It plays an important role in the manufacture of ship engine.
2. How are the indicator diagrams drawn for the ship?
a) By providing the ship’s mass
b) By providing the ship’s volume
c) By matching ships sea trial diagrams
d) By differentiating the diagrams
Answer: c
Clarification: Indicator diagrams are drawn by taking the diagrams at regular intervals. This time taken at regular interval is matched with the ship’s sea trial diagrams. The comparison is to check if there is any significant difference in the performance.
3. Which among the following is not a type of indicator diagram?
a) Power card
b) Draw card
c) Compression diagram
d) Power house
Answer: d
Clarification: Power house is not a type of indicator diagram. It is also called as the power station. The main purpose of the power house is to supply electrical power to any system for an efficient working of the system.
4. Which among the following cannot be determined by indicator diagram?
a) The actual power generated
b) Cogeneration
c) Compression inside the cylinder
d) Exhausting and scavenging process
Answer: b
Clarification: Heat generated from clean heat and power is called as cogeneration. Cogeneration can be defined as combined heat and power that used to heat engine or the power station to generate electricity. Therefore, cogeneration cannot be determined by an indicator diagram.
5. High loading in engines will lead to_________
a) Speed rise
b) Temperature rise
c) Bearing damage
d) Volume expansion
Answer: c
Clarification: High loading in engines will lead to bearing damage. It also leads to several other problems like cracking, breaking etc. So, it is very important in assessing and reading these diagrams correctly.
6. What type of indicator device is used nowadays?
a) Digital pressure indicator
b) Mechanical indicator
c) Electrical indicator
d) Ionization Gauge
Answer: a
Clarification: In earlier days, the indicator diagram was assessed with the help of mechanical indicator. But now, we use a digital pressure indicator. It has got a lot of advantages over the mechanical one. It has a compact hand-held unit with a computer display system.
7. How can we asses the indicator diagram by looking at the card diagram?
a) Comparing the maximum firing pressure and compression pressure
b) Dead weight method
c) Conveyor method
d) Ionization method
Answer: a
Clarification: Using a card diagram, we can asses the indicator diagram. This process is performed using multiple parameters. One of them is the maximum firing pressure and the other is the comparison pressure.
8. Which among the following is not an effect of deficiency in the indicator diagram?
a) Bad quality of fuel
b) Fuel pump leakage
c) Low fuel pressure
d) Fuel temperature rise
Answer: d
Clarification: Deficiencies in an indicator diagram are classified into many types. Deficiencies can be determined using the card diagram. Card diagram contains maximum firing pressure and compression pressure which does not depend on the temperature rise of fluid.
9. Deficiency type 3 is not caused due to_________
a) Leaking exhaust valve
b) Resistance to flow of air
c) Low scavenging pressure
d) High linear wear
Answer: b
Clarification: Deficiencies in an indicator diagram are classified into many types. Deficiencies can be determined using the card diagram. Card diagram contains maximum firing pressure and compression pressure. In deficiency 3, the compression pressure is low and peak pressure is also low.
10. Deficiency type 4 is caused due to_________
a) Resistance to flow of air
b) Leaking exhaust valve
c) Low scavenging pressure
d) Overload of engine
Answer: d
Explanation Deficiencies in an indicator diagram are classified into many types. Deficiencies can be determined using the card diagram. Card diagram contains maximum firing pressure and compression pressure. In deficiency 4, compression pressure is high and peak pressure is also high leading to the overload of an engine.
Fluid Mechanics Puzzles on “Velocity of Sound or Pressure Wave in a Fluid – 2”.
1. A wave that has propagating disturbance is called ________
a) Shock wave
b) Compression wave
c) Compressed wave
d) Longitudinal wave
Answer: a
Clarification: Shock wave is defined as the wave that has a propagating disturbance. When the propagating wave move faster than the local speed of fluid, it is called as a shock wave. It can propagate through any medium.
2. A shock wave carries _______
a) Heat
b) Pressure
c) Energy
d) Temperature
Answer: c
Clarification: The shock wave carries energy and can propagate through a medium. It can be characterized as abrupt. It is due to the discontinuous changes in pressure, density and temperature of the medium.
3. Shock waves can be normal, oblique and bow.
a) True
b) False
Answer: a
Clarification: Shock waves can be at normal angles, oblique angles and bow angles. Normal angle is perpendicular to the shock medium’s flow direction. Oblique angle is at the direction of flow. Bow occurs at the front of the object.
4. Bow occurs at what Mach number?
a) Mach number = 0
b) Mach number is negative
c) Mach number = 1
d) Mach number greater than 1
Answer: d
Clarification: Bow occurs when the Mach number is greater than one. It occurs at the upstream of the front of a blunt object. It happens when the velocity exceeds Mach 1.
5. A boundary over which physical conditions undergo changes is called _______
a) Shear front
b) Shock front
c) Contact front
d) Cap front
Answer: b
Clarification: Shock front is defined as the boundary over which the physical conditions of a fluid undergo abrupt changes. This happens due to the shock wave. Thus, the correct choice is option Shock front.
6. A shock wave caused by driver gas is called _______
a) Shear front
b) Shock front
c) Contact front
d) Cap front
Answer: c
Clarification: Contact front is defined as a shock wave caused by a driver gas. It is the boundary layer between the driver gases and the driven gases. The main function of the contact front is to trails the shock front.
7. When the fluid flow is discontinuous, what is established?
a) Heat
b) Pressure
c) Control volume
d) Temperature
Answer: c
Clarification: When the fluid flow is discontinuous, a control volume is established. It is established around the shock wave. It is treated as a discontinuity where the entropy increases to over a infinitesimally large region.
8. Shock waves that deviate from the arbitrary angle are called_______
a) Oblique shock
b) Bow shock
c) Normal shock
d) Detonation
Answer: a
Clarification: Shock waves in a flow field which are attached to a body start deviating at some arbitrary angle from the flow direction of the fluid. This shock so developed due to angle deviation is called as oblique shock.
9. When a shock wave forms continuous pattern, it is called ________
a) Oblique shock
b) Bow shock
c) Normal shock
d) Detonation
Answer: b
Clarification: Bow occurs when the Mach number is greater than one. It occurs at the upstream of the front of a blunt object. It happens when the velocity exceeds Mach 1. When a shock wave forms continuous pattern, it is called a bow shock.
10. Shocks generated due to an interaction of two bodies are called ______
a) Oblique shock
b) Bow shock
c) Moving shock
d) Detonation
Answer: c
Clarification: Shocks that are generated by the interaction of two bodies of gas. This interaction takes place at different pressure, with the shock wave propagating into a lower pressure gas and an expansion wave propagates into a high-pressure gas.
11. Shocks generated due to trailing exothermic reaction is called ______
a) Oblique shock
b) Bow shock
c) Moving shock
d) Detonation
Answer: d
Clarification: Shocks that are generated due to trailing exothermic reaction is called as detonation. It is a wave traveling through a medium of highly combustible and chemically unstable medium.
To practice all Puzzles on Fluid Mechanics,
Fluid Mechanics Questions and Answers for Experienced people on “Pressure Distribution in a Fluid – 2”.
1. Three beakers 1, 2 and 3 of different shapes are kept on a horizontal table and filled with water up to a height h. If the pressure at the base of the beakers are P1, P2 and P3 respectively, which one of the following will be the relation connecting the three?
a) P1 > P2 > P3
b) P1 < P2 < P3
c) P1 = P2 = P3
d) P1 > P2 < P3
Answer: c
Clarification: The pressure on the surface of the liquid in the beakers is the same. Pressure varies in the downward direction according to the formula P = ρgh, where ρ is the density of the liquid and h is the height of the liquid column from the top.
P1 = ρgh
P2 = ρgh
P3 = ρgh
Since all the beakers contain water up to to the same height, P1 = P2 = P3.
2. A beaker is filled with a liquid of specific gravity S = 1:2 as shown. What will be the pressure difference (in kN/m2) between the two points A and B, 30 cm below and 10 cm to the right of point A?
a) 2.5
b) 3.5
c) 4.5
d) 5.5
Answer: b
Clarification: Pressure increases in the vertically downward direction but remains constant in the horizontal direction. Thus,
PB = PA + ρgh
where PB = Pressure at B, PA = Pressure at A, ρ = density of the liquid, g = acceleration due to gravity and h = vertical distance separating the two points.
PB – PA = 1:2 * 103 * 9.81 * 0.3 N/m2 = 3.53 kN/m2
3. The arm of a teapot is 10 cm long and inclined at an angle of 60o to the vertical. The center of the arm base is 2 cm above the base of the beaker. Water is poured into the beaker such that half the arm is filled with it. What will be the pressure at the base of the beaker if the atmospheric pressure is 101.3 kPa?
a) 101.3
b) 101.5
c) 101.7
d) 101.9
Answer: c
Clarification: Total height of the water in the beaker = 2 + 1⁄2 * 10 cos 60o cm = 4:5 cm. Pressure at the base of the beaker = 101.3 + 103 * 9.81 * 0.045 Pa = 101.3 + 0.44 kPa = 101.74 kPa.
4. A beaker of height 10 cm is half-filled with water (Sw = 1) and half-filled with oil (So = 1). At what distance (in cm) from the base will the pressure be half the pressure at the base of the beaker?
a) 4.375
b) 4.5
c) 5.5
d) 5.625
Answer: b
Clarification: Gauge pressure at the base of the beaker = So * 103 * 0.05 * g + Sw * 103 * 0.05 * g = 882.9Pa. Let the required height be h m from the base.
If 0.05 ≤ h < 0.1,
800(0.1 – h)g = 1⁄2 * 882.9
Thus, h = 0.04375 (out of the range considered).
If 0 < h ≤ 0:05,
800 * 0.05 * g + 103 * (0.05 – h) * g = 1⁄2 * 882.9
Thus, h = 0.045 (in the range considered). Hence, the correct answer will be 45 cm.
5. A beaker of height 30 cm is filled with water (Sw = 1) up to a height of 10 cm. Now oil (So = 0:9) is poured into the beaker till it is completely filled. At what distance (in cm) from the base will the pressure be one-third the pressure at the base of the beaker?
a) 27.33
b) 19.2
c) 10.8
d) 2.67
Answer: b
Clarification: Gauge pressure at the base of the beaker = So * 103 * 0.2 * g + Sw * 103 * 0.1 * g = 2550.6Pa. Let the required height be h m from the base.
If 0.1 ≤ h < 0.3,
800(0.3 – h)g = 1⁄3 * 2550.6
Thus, h = 0.192 (in the range considered).
Even if there’s no need to check for the other range, it’s shown here for demonstration purpose.If
0 < h ≤ 0.1,
800 * 0.2 * g + 103 * (0.2 – h) * g = 1⁄3 * 2550.6
Thus, h = 0.2733 (out of the range considered). Hence, the correct answer will be 19.2 cm.
6. An oil tank of height 6 m is half-filled with oil and the air above it exerts a pressure of 200 kPa on the upper surface. The density of oil varies according to the given relation:
What will be the percentage error in the calculation of the pressure at the base of the tank if the density is taken to be a constant equal to 800?
a) 0.01
b) 0.05
c) 0.10
d) 0.15
Answer: a
Clarification: The change of pressure with the vertical direction y is given by
dP/dy = – ρg
dP = -ρg dy
If Pa and Pb be the pressures at the top and bottom surfaces of the tank,
Thus, Pb = 223.5746kPa. If the density is assumed to be constant,
Pb = 200 + 800 * 9.81 * 3 * 103 = 223.544 kPa. Hence, precentage error
7. If a gas X be confined inside a bulb as shown, by what percent will the pressure of the gas be higher or lower than the atmospheric pressure? (Take the atmospheric pressure equal to 101.3 kPa)
a) 4:75% higher
b) 4:75% lower
c) 6:75% higher
d) 6:75% lower
Answer: a
Clarification: Pa = Patm = 101.3
Pb = Pa + 0.9 * 9.81 * 0.03 = 101.56
Pc = Pb + 13.6 * 9.81 * 0.04 = 106.9
Pd = Pc – 1 * 9.81 * 0.05 = 106.41
Pe = Pd – 0.9 * 9.81 * 0.04 = 106.1
PX = Pe = 106.1
Since, PX > Patm, the percentage by which the pressure of the gas is higher than the atmospheric pressure will be
8. A tank of height 3 m is completely filled with water. Now two-third of the liquid is taken out and an equal amount of two other immiscible liquids of specific gravities 0.8 and 1.2 are poured into the tank. By what percent will the pressure at the base of the tank change?
a) 0%
b) 5%higher
c) 5%lower
d) 10%higher
Answer: a
Clarification: Pressure at the base initially = 1 * 9.81 * 3 = 29.43 kPa; Pressure at the base after adding the other two liquids= 0.8 * 9.81 * 1 + 1 * 9.81 * 1 + 1.2 * 9.81 * 1 kPa; Thus the pressure at the base remains the same.
9. A beaker of height 15 cm is completely filled with water. Now two-third of the liquid is taken out and an equal amount of two other immiscible liquids of specific gravities 0.8 and 1.2 are poured into the tank. What will be the pressure (in kPa) at a point situated at a height, half the height of the beaker?
a) 588.6
b) 637.65
c) 735.75
d) 833.85
Answer: b
Clarification: PA = 0.8 * 103 * 9.81 * 0.05 + 1 * 103 * 9.81 * 0.025 = 637.65 kPa.
10. A beaker of height h is completely filled with water. Now two-third of the liquid is replaced by another liquid. If the pressure at the base of the beaker doubled, what is the specific gravity of the liquid poured?
a) 0.5
b) 1
c) 2
d) 2.5
Answer: d
Clarification: Pressure at the base initially = Sw * h⁄3 * g; Pressure at the base after pouring the second liquid = Sw * h⁄3 * g + Sl * 2h⁄3 * g, where Sw and Sl are the specific gravities of water and the second liquid.
11. A beaker, partially filled with a liquid is rotated by an angle 30o as shown. If the pressure at point B becomes 12 bar, what will be the height (in cm) of the beaker?
a) 23.5
b) 24.5
c) 26.5
d) 27.5
Answer: b
Clarification: If the height of the beaker is h, the pressure at point B = 103 * g * h * cos 30o = 12 * 103kPa; h = 24.5 cm.
12. A beaker of height 15 cm is partially filled with a liquid and is rotated by an angle θ as shown.
If the pressure at point B becomes 5 bar, what will be the value of θ?
a) 30o
b) 50o
c) 60o
d) 70o
Answer: d
Clarification: If the angle of inclination is taken to be θ, the pressure at point B = 103 * g * 0.15 * cos θ = 5 * 103 kPa; θ = 70.12o.
13. A beaker of height 30 cm is partially filled with a liquid and is rotated by an angle θ as shown.
At this point, the pressure at point B is found to be 5 bar. By what angle should θ be increased such that the pressure at B gets halved?
a) 12o
b) 15o
c) 17o
d) 20o
Answer: b
Clarification: Let θ1 and θ2 be the angles at which the beaker is inclided for the two cases mentioned.
103 * 9.81 * 0.15 * cos θ1 = 5 * 100; θ1 = 70.12o
103 * 9.81 * 0.3 * cos θ2 = 1⁄2 * 5 * 100; θ1 = 85.12o
θ2 – θ1 = 15o
14. A closed tank (each side of 5 m) is partially filled with fluid as shown. If the pressure of the air above the fluid is 2 bar, find the pressure at the bottom of the tank. Assume the density ρ of the fluid to vary according to the given relation:
a) 766
b) 776
c) 786
d) 796
Answer: c
Clarification:
PA = Patm = 760
PB = PA + 30
PC = PB – 50 / 13.6 = 786.32
PX = PC = 786.3.
15. For what height of the mercury column will the pressure inside the gas be 40 cm Hg vacuum?
a) 36
b) 40
c) 76
d) 116
Answer: b
Clarification:
Pgas = Patm – ρgH
Taking gauge pressure in terms of cm of Hg,
-40 = 0 – H; H = 40.