Consider a microtube with a diameter of 4 μm and length of 100 μm. Air, at an inlet pressure of 100 kPa and an inlet temperature of 300 K, flows through the tube. The tube has a constant surface...

Consider a microtube with a diameter of 4 μm and length of 100 μm. Air, at an inlet pressure of 100 kPa and an inlet temperature of 300 K, flows through the tube. The tube has a constant surface temperature of 375 K. Air velocity at inlet is 180 m/s.

a. Verify whether the slip flow regime applies.

 b. Plot the variation of the mean air temperature along the tube.

c. Find the distance from the inlet at which the temperature of the air becomes the same as that of the surface. Also calculate the total heat transfer rate and the pressure drop in the tube.