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Conduction through cylinder and sphere (Conductivity as a function of temperature)

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In infinite hollow cylinder heat flow is given by

a:

q = \frac{2\pi LK (T_1 + T_2)}{ln(r_2/r_1)}

Explanation

Explanation

b:

q = \frac{2\pi LK (T_2 - T_1 )}{ln(r_2/r_1)}

Explanation

Explanation

c:

q = \frac{2\pi LK (T_2 + T_1)}{ln(r_2/r_1)}

Explanation

Explanation

d:

q = \frac{2\pi LK (T_1 - T_2)}{ln(r_2/r_1)}

Explanation

Explanation

In x-direction heat flow is given by Fourier's equation is

a:

\frac{q}{A} = K\frac{\partial T}{\partial x}

Explanation

Explanation

b:

\frac{q}{A} = -K\frac{\partial T}{\partial x}

Explanation

Explanation

c:

\frac{q}{A} = K\frac{\partial x}{\partial T}

Explanation

Explanation

d:

\frac{q}{A} = -K\frac{\partial x}{\partial T}

Explanation

Explanation

In hollow sphere heat flow is given by

a:

q = \frac{4\pi Kr_1r_2(T_1 - T_2)}{r_2 - r_1}

Explanation

Explanation

b:

q = \frac{4\pi Kr_1r_2(T_1 - T_2)}{r_2 + r_1}

Explanation

Explanation

c:

q = \frac{4\pi Kr_1r_2(T_1 + T_2)}{r_2 - r_1}

Explanation

Explanation

d:

q = \frac{4\pi Kr_1r_2(T_1 + T_2)}{r_2 + r_1}

Explanation

Explanation

Geometric mean area for hollow sphere is given by

a:

GMA = \sqrt{A_1 - A_2}

Explanation

Explanation

b:

GMA = \sqrt{\frac{A_1}{A_2}}

Explanation

Explanation

c:

GMA = \sqrt{A_1A_2}

Explanation

Explanation

d:

GMA = \sqrt{A_1 + A_2}

Explanation

Explanation

In infnite slab heat-flow is given by

a:

q = \frac{KA}{b}(T_2 - T_1)

Explanation

Explanation

b:

q = \frac{KA}{b}(T_1 + T_2)

Explanation

Explanation

c:

q = \frac{KA}{b}(T_1 - T_2)

Explanation

Explanation

d:

q = \frac{KA}{b}(T_2 + T_1)

Explanation

Explanation

Logarithmic mean area A₁ & A₂ for hollow cylinder is given by

a:

LMA = \frac{A_1 - A_2}{ln(A_1/A_2)}

Explanation

Explanation

b:

LMA = \frac{A_1 + A_2}{ln(A_1/A_2)}

Explanation

Explanation

c:

LMA = \frac{A_2 + A_1}{ln(A_2/A_1)}

Explanation

Explanation

d:

LMA = \frac{A_2 - A_1}{ln(A_2/A_1)}

Explanation

Explanation

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