The heat transfer by conduction through a thick cylinder (Q) is given by (where T1 = Higher temperature, T2 = Lower temperature, r1 = Inside radius, r2 = Outside radius, l = Length of cylinder and k = Thermal conductivity)

The heat transfer by conduction through a thick cylinder (Q) is given by Q = 2 lk( T_1 - T_2 )2.3log ( r_2r_1 ) Where T1 = Higher temperature, T2 = Lower temperature, r1 = Inside radius, r2 = Outside radius, l = Length of cylinder and k = Thermal conductivity.

Heat and Mass Transfer

The heat transfer by conduction through a thick cylinder (Q) is given by (where T₁ = Higher temperature, T₂ = Lower temperature, r₁ = Inside radius, r₂ = Outside radius, $$l$$ = Length of cylinder and k = Thermal conductivity)

A) $${\text{Q}} = \frac{{2\pi l{\text{k}}\left( {{{\text{T}}_1} - {{\text{T}}_2}} \right)}}{{2.3\log \left( {\frac{{{{\text{r}}_2}}}{{{{\text{r}}_1}}}} \right)}}$$ B) $${\text{Q}} = \frac{{2.3\log \left( {\frac{{{r_2}}}{{{r_1}}}} \right)}}{{2\pi l{\text{k}}\left( {{{\text{T}}_1} - {{\text{T}}_2}} \right)}}$$ C) $${\text{Q}} = \frac{{2\pi \left( {{{\text{T}}_1} - {{\text{T}}_2}} \right)}}{{2.3l{\text{k}}\log \left( {\frac{{{{\text{r}}_2}}}{{{{\text{r}}_1}}}} \right)}}$$ D) $${\text{Q}} = \frac{{2\pi l{\text{k}}}}{{2.3\left( {{{\text{T}}_1} - {{\text{T}}_2}} \right)\log \left( {\frac{{{{\text{r}}_2}}}{{{{\text{r}}_1}}}} \right)}}$$

Answer & Solution

Correct Answer: Option A

The heat transfer by conduction through a thick cylinder (Q) is given by
$${\text{Q}} = \frac{{2\pi l{\text{k}}\left( {{{\text{T}}_1} - {{\text{T}}_2}} \right)}}{{2.3\log \left( {\frac{{{{\text{r}}_2}}}{{{{\text{r}}_1}}}} \right)}}$$
Where T₁ = Higher temperature, T₂ = Lower temperature, r₁ = Inside radius, r₂ = Outside radius, $$l$$ = Length of cylinder and k = Thermal conductivity.

The heat transfer by conduction through a thick cylinder (Q) is...

The heat transfer by conduction through a thick cylinder (Q) is given by (where T₁ = Higher temperature, T₂ = Lower temperature, r₁ = Inside radius, r₂ = Outside radius, $$l$$ = Length of cylinder and k = Thermal conductivity)

Join the Discussion

The heat transfer by conduction through a thick cylinder (Q) is...

The heat transfer by conduction through a thick cylinder (Q) is given by (where T1 = Higher temperature, T2 = Lower temperature, r1 = Inside radius, r2 = Outside radius, $$l$$ = Length of cylinder and k = Thermal conductivity)

Join the Discussion

Related Questions on Heat and Mass Transfer

The heat transfer by conduction through a thick cylinder (Q) is given by (where T₁ = Higher temperature, T₂ = Lower temperature, r₁ = Inside radius, r₂ = Outside radius, $$l$$ = Length of cylinder and k = Thermal conductivity)