Momentum Transfer - Transport Phenomena and Rate Processes - Metallurgical Engineering Previous Year Questions

1

2008 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2008

Deoxidation of liquid steel with ferrosilicon produces spherical silica particles. The particles of 5 μm diameter take 3000 minutes to float up through a 2 m height of liquid steel. For particles of 50 μm diameter to float up through the same height, the time required in minutes is

A

30

B

300

C

960

D

3000

Open complete paper

2

2009 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2009

The figure below shows water over mercury manometer.
If the density of water is denoted by \( \rho_W \) and that of mercury by \( \rho_M \) and ‘g’ denotes the acceleration due to gravity, the pressure difference (\( P_A - P_B \)) will be equal to

A

\(- (\rho_M g H) \)

B

\((\rho_W - \rho_M) g H \)

C

\(\rho_M g H \)

D

\((\rho_M - \rho_W) g H \)

Open complete paper

3

2010 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2010

Two fluids of densities ρ₁ and ρ₂ are flowing at velocities v₁ and v₂, respectively, through smooth pipes of identical diameter and pressure per unit length. When the friction factor is same, the ratio ρ₁/ρ₂ is equal to

A

v₁/v₂

B

(v₁/v₂)²

C

(v₂/v₁)²

D

(v₂/v₁)^{3/2}

Open complete paper

4

2011 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2011

During fully developed laminar flow in a circular pipe, the velocity profile is parabolic, and symmetric around the axis. The velocity at the tube wall is zero. The ratio of the average velocity to the maximum velocity is

A

1/3

B

1/2

C

2/3

D

3/4

Open complete paper

5

2012 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2012

A fluid is flowing with a velocity of 0.5 m/s on a plate moving with a velocity of 0.01 m/s in the same direction. The velocity at the interface of the fluid and plate is

A

0.0 m/s

B

0.01 m/s

C

0.255 m/s

D

0.50 m/s

Open complete paper

6

2012 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2012

The force exerted on the steel ball is

A

8.32 N

B

6.70 N

C

1.67 N

D

0.52 N

Open complete paper

7

2012 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2012

The terminal velocity of a fine spherical steel particle having diameter d_p in μm range, if allowed to fall in a quiescent liquid Al bath, is

A

5.2×10⁶ d_p² m/s

B

2.6×10⁶ d_p² m/s

C

1.3×10⁶ d_p² m/s

D

6.6×10⁵ d_p² m/s

Open complete paper

8

2013 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2013

Ladle deoxidation of liquid steel is done at 1600°C by adding ferro-aluminium. By assuming Stokes law behaviour, time (in s) required for alumina particles of 50 μm diameter to float to the surface from a depth of 2 m would be __________
[Given: density of steel = 7000 kg/m³, density of alumina = 3650 kg/m³, viscosity of steel = 6×10⁻³ kg/m/s]

Check answer

Open complete paper

9

2014 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2014

Which one of the following plots relating shear stress with strain rate represents Newtonian behaviour of a fluid?

A

P

B

Q

C

R

D

S

Open complete paper

10

2018 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2018

The terminal velocity (\(v\)) of a spherical inclusion of diameter D = 50 micrometers rising in liquid steel is ______ (in mm s\(^{-1}\) to two decimal places) Assume Stokes law; i.e., drag force \(F_d = 3\pi\mu D v\), where \(\mu\) is the viscosity of steel. Given: Density of liquid steel = 7900 kg m\(^{-3}\); Viscosity of liquid steel = 0.0079 Pa s; Density of the inclusion = 2500 kg m\(^{-3}\); Acceleration due to gravity = 9.8 m s\(^{-2}\)

Check answer

Open complete paper

11

2019 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2019

Pressure drop in the granular zone of a blast furnace is 300 mm of water per meter of the bed height. The bed permeability is \(0.8 m^4.N^{-1}.s^{-1}\). The volumetric flow rate of gas per unit area through the bed [in (\(m^3.s^{-1}).m^{-2}\), rounded off to the nearest integer] is ______.
Assume Darcy's law is applicable and \(g = 9.8 m.s^{-2}\). Density of water = 1000 \(kg.m^{-3}\).

Check answer

Open complete paper

12

2020 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2020

Figure shows schematic of a venturimeter. The cross sectional area is 100 mm² at A and is 50 mm² at B. If air is flowing through the venturimeter at a flow rate of 10⁻³ m³.s⁻¹, the height H in the air-over-water manometer is ______ mm (round off to the nearest integer).\n\nAssume:\n1. Incompressible flow with no friction losses.\n2. Density of air is 1 kg m⁻³.\n3. Density of water is 1000 kg m⁻³.\n4. Acceleration due to gravity is 9.8 m s⁻².

Check answer

Open complete paper

13

2021 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2021

Water flows over a plate of finite length. At x = x₁ from the leading edge, the velocity of the flow is Vₓ = 0.5y – 0.5y³. The thickness, δ (in meter) of the boundary layer at x = x₁ is: ______ (round off to 2 decimal places).
Given: V∞ is the free stream velocity.

Check answer

Open complete paper

14

2021 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2021

For a fully developed 1-D flow of a Newtonian fluid through a horizontal pipe of radius R (see figure), the axial velocity (\(v_z\)) is given by: \(v_z = \left[\frac{\Delta P}{L}\right]\left(\frac{R^2-r^2}{4\mu}\right)\), where, \(\Delta P\) is the pressure difference (\(P_1 - P_2\)), \(\mu\) is the viscosity, \(r\) is the radial distance from the axis and \(L\) is the length of the tube. The shear stress exerted by the fluid on the tube wall is:

A

\(\frac{\Delta PR}{2L}\)

B

\(\frac{\Delta PR}{L}\)

C

\(\frac{3\Delta PR}{2L}\)

D

\(\frac{2\Delta PR}{L}\)

Open complete paper

15

2022 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2022

In fluid flow, the dimensionless number that describes the transition from laminar to turbulent flow is ________

A

Reynolds number

B

Schmidt number

C

Biot number

D

Prandtl number

Open complete paper

16

2022 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2022

A Newtonian incompressible liquid is contained between two parallel metal plates separated by \(10^{-3}\) m (see figure). A stress of 5 Pa is required to maintain the upper plate in motion with a constant speed of 2 m s\(^{-1}\) in the horizontal direction relative to the bottom plate.
The viscosity of liquid contained between the plates is ______ \(\times 10^{-3}\) Pa·s (answer rounded off to 1 decimal place).

Check answer

Open complete paper

17

2022 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2022

A non-rotating smooth solid spherical object is fixed in the stream of an inviscid incompressible fluid of density ρ (see figure). The flow is horizontal, slow, steady, and fully developed far from the object as shown by the streamline arrows near point O. Which of the following statement(s) is(are) TRUE?
(Note: B is the center of the sphere and the straight horizontal line OAB intersects the surface of the sphere at the point A.)

A

The velocity of the fluid at the point A is zero

B

The fluid pressure at the point A exceeds that at point O by the amount ρv²/2, where v is the fluid velocity at point O

C

Fluid moving precisely along OA will turn perpendicular to OA to circumvent the object

D

On each side of the central streamline OA, the flow will be deflected round the object

Check answer

Open complete paper

18

2022 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2022

A spherical gas bubble of radius 0.01 mm is entrapped in molten steel held at 1773 K. If the pressure outside the bubble is 1.5 bar, the pressure inside the bubble is _____ bar (round off to 1 decimal place).
Given: 1 bar = 10⁵ Pa and the surface tension of the steel at 1773 K is 1.4 N·m⁻¹.

Check answer

Open complete paper

19

2023 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2023

For laminar fluid flow through a smooth circular tube, the relation between friction factor (f) and Reynolds number (Re) is

A

\(f = \frac{16}{Re}\)

B

\(f = \frac{24}{Re}\)

C

\(f = \frac{16}{\sqrt{Re}}\)

D

\(f = \frac{24}{\sqrt{Re}}\)

Open complete paper

20

2023 · Metallurgical Engineering · Transport Phenomena and Rate Processes · Momentum Transfer

Metallurgical Engineering (MT) 2023

A liquid of density 900 \(kg\ m^{-3}\) is flowing over a flat plate with a free stream velocity of 0.1 \(m\ s^{-1}\). The laminar boundary layer thickness at a distance of 0.2 m from the leading edge of the plate is 0.007 m. The viscosity of the liquid in centipoise is __________ (round off to 2 decimal places).
Given: 1 centipoise = \(10^{-3}\ kg\ m^{-1}s^{-1}\)

Check answer

Open complete paper