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This mock test of Test: One-Dimensional Steady-State Conduction - 2 for Chemical Engineering helps you for every Chemical Engineering entrance exam.
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QUESTION: 1

The temperature distribution for a plane wall, for steady state heat flow and constant value of thermal conductivity is

Solution:

QUESTION: 2

The temperature distribution for a hollow cylinder for steady state heat flow and constant value of thermal conductivity is

Solution:

Since heat transfer in hollow cylinder is given by

Hence heat transfer profile is logarithmic.

QUESTION: 3

The temperature distribution for a sphere for steady state heat flow and constant value of thermal conductivity is

Solution:

Hence profile will be hyperbolic.

QUESTION: 4

The heat transfer in the hollow cylinder is taking place by conduction and in this case logarithmic mean temperature difference A_{lm} is given by

Solution:

Heat transfer by conduction through hollow cylinder is given by

Also,

QUESTION: 5

What will be geometric radius of heat transfer for a hollow sphere of inner and outer radii r_{1} and r_{2}?

Solution:

Heat transfer by conduction through sphere is given by

Geometric mean Area

Geometric mean radius

QUESTION: 6

Thermal diffusivity is given by

Solution:

Thermal diffusivity is the ratio of thermal conductivity and thermal diffusivity

QUESTION: 7

A composite slab has two layers of different materials with thermal conductivity k_{1} and k_{2}. In each layer had the same thickness, the, equivalent thermal conductivity of the slab would be

Solution:

QUESTION: 8

A steam pipe is covered with two layers of insulating materials, with the better insulating material forming the outer part. If the two layers are interchanged, the heat conducted

Solution:

k_{1} < k_{2} [k_{1} better insulator]

Q ∝ k. This means that the material having better insulating materia! should be inside to minimize the heat flux hence if better insulating materia! is placed inside, it will reduce the heat transfer.

QUESTION: 9

In a long cylindrical rod of radius R and a surface heat flux of q_{0} the uniform generation rate is

Solution:

QUESTION: 10

The critical thickness of insulation for cylinder is given by

Solution:

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