A row of 25 square computer chips each 10 10 mm in size and 1 mm

Question:

A row of 25 square computer chips each 10 × 10 mm in size and 1 mm thick and spaced 1 mm apart is mounted on an insulating plastic substrate as shown below. The chips are to be cooled by nitrogen flowing along the length of the row at ??40?C and atmospheric pressure to prevent their temperature from exceeding 30?C. The design is to provide for a dissipation rate of 30 milliwatts per chip. Estimate the minimum free stream velocity required to provide safe operating conditions for every chip in the array.GIVENA row of 25 square computer chips with nitrogen flowing over themChip dimensions = 10 mm × 10 mm = 0.01 m × 0.01 mChip thickness = 1 mm = 0.001 mMaximum temperature of the chips (Ts) = 30?CNitrogen temperature (T??) = ?? 40?CHeat dissipation = 30 m W/chip = 0.03 W/chipASSUMPTIONSSteady stateHeat transfer from the edge of the chips is negligibleThe chips trip the boundary layer into turbulenceRadiative heat transfer isnegligible