Free Printable Steady-State One-Dimensional Conduction

1.

In steady-state heat conduction, which of the following statements is TRUE?

a)

Temperature at every point in the material changes with time

b)

Heat flux varies with time

c)

Temperature field does not change with time

d)

Heat generation rate must be zero

2.

Which law provides the fundamental relationship between heat flux and temperature gradient?

a)

Newton’s Law of Cooling

b)

Stefan–Boltzmann Law

c)

Fourier’s Law of Heat Conduction

d)

Fick’s Law

3.

The SI unit of thermal conductivity k is:

a)

W/m

b)

W/m²·K

c)

W/m·K

d)

W/K

4.

For one-dimensional steady-state conduction through a plane wall of thickness L and constant k, the temperature distribution T(x) is:

a)

Exponential

b)

Parabolic

c)

Linear

d)

Logarithmic

5.

The thermal resistance for conduction through a hollow cylinder is given by:

a)

$R=\frac{L}{kA}$

b)

$R=\frac{r_o - r_i}{2\pi k L}$

c)

$R=\frac{\ln\left(\frac{r_o}{r_i}\right)}{2\pi k L}$

d)

$R=\frac{1}{hA}$

6.

For conduction through a spherical shell, which expression correctly represents the thermal resistance?

a)

$R=\frac{r_o - r_i}{4\pi k r_i r_o}$

b)

$R=\frac{\ln\left(\frac{r_o}{r_i}\right)}{2\pi k L}$

c)

$R=\frac{1}{4\pi k}\left(\frac{1}{r_i}-\frac{1}{r_o}\right)$

d)

$R=\frac{r_i - r_o}{4\pi k r_i r_o}$

7.

Which of the following combinations of resistances represents heat transfer from a hot fluid inside a tube to a cold fluid outside?

a)

Conduction only

b)

Inner convection + conduction + outer convection

c)

Conduction + radiation

d)

Conduction + convection in series

8.

The overall heat transfer coefficient U is defined so that:

a)

$q=UA(T_1 - T_2)$

b)

$U=\frac{k}{L}$

c)

$q=hA(T_s - T_\infty)$

d)

$U=\frac{1}{R_{cond}}$

9.

In a solid with uniform internal heat generation, the temperature profile is:

a)

Linear

b)

Parabolic

c)

Exponential

d)

Logarithmic

10.

For a cylindrical system with external convection, the critical radius of insulation is reached when:

a)

$r_c=\frac{h}{k}$

b)

$r_c=\frac{k}{h}$

c)

$r_c=\sqrt{\frac{k}{h}}$

d)

$r_c=\frac{2k}{h}$

Steady-State One-Dimensional Conduction

Total questions: 10

Worksheet time: 5mins

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