Question

In a large electrical cabinet, heat sinks are used to separate components that are arranged in long rows. The figure below shows one of the heat sinks. The heat sinks are constructed from aluminum and are 24 [mm] wide and 142 x 100 [mm] in cross-section. Each heat sink consists of 20 rectangular air channels of dimensions 5 x 20 [mm] separated by 2 [mm] thick fins, which join seamlessly to the base plates, which are also 2 [mm] thick. The heat sinks are press-fitted between components yielding a contact resistance between the base and the components of $R_{tc} = 0.5 \times 10^{-4} [m^2 K/W]$. To promote cooling, air at 25 [$\degree$C] is forced through the cabinet to yield a volumetric flow rate of 0.08 [$m^3/s$] per heat sink. Consider the maximum operating conditions where the component temperature is 90 [$\degree$C]. Under this condition, how much power is dissipated per heat sink? (hint: take advantage of symmetry). Assumption: temperature rise of the air may be assumed negligible.

          In a large electrical cabinet, heat sinks are used to separate components that are arranged in long rows. The figure below shows one of the heat sinks. The heat sinks are constructed from aluminum and are 24 [mm] wide and 142 x 100 [mm] in cross-section. Each heat sink consists of 20 rectangular air channels of dimensions 5 x 20 [mm] separated by 2 [mm] thick fins, which join seamlessly to the base plates, which are also 2 [mm] thick. The heat sinks are press-fitted between components yielding a contact resistance between the base and the components of $R_{tc} = 0.5 \times 10^{-4} [m^2 K/W]$. To promote cooling, air at 25 [$\degree$C] is forced through the cabinet to yield a volumetric flow rate of 0.08 [$m^3/s$] per heat sink. Consider the maximum operating conditions where the component temperature is 90 [$\degree$C]. Under this condition, how much power is dissipated per heat sink? (hint: take advantage of symmetry). 
Assumption: temperature rise of the air may be assumed negligible.

In a large electrical cabinet, heat sinks are used to separate components that are arranged in long rows. The figure below shows one of the heat sinks. The heat sinks are constructed from aluminum and are 24 [mm] wide and 142 x 100 [mm] in cross-section. Each heat sink consists of 20 rectangular air channels of dimensions 5 x 20 [mm] separated by 2 [mm] thick fins, which join seamlessly to the base plates, which are also 2 [mm] thick. The heat sinks are press-fitted between components yielding a contact resistance between the base and the components of Rtc = 0.5 × 10^-4 [m^2 K/W]. To promote cooling, air at 25 [C] is forced through the cabinet to yield a volumetric flow rate of 0.08 [m^3/s] per heat sink. Consider the maximum operating conditions where the component temperature is 90 [C]. Under this condition, how much power is dissipated per heat sink? (hint: take advantage of symmetry).
Assumption: temperature rise of the air may be assumed negligible.

Added by Brian B.

Question

Please give Ace some feedback