A thin plate is suspended in air at 1 atm. with T_infinite=15°C. Air flows on both sides of the plate where the bottom sideabsorbs a uniform radiative heat flux of 1542 W/m2. The plate isoriented parallel to the flow and the length along the flowdirection is 60 cm. Consider the plate is negligibly thin and thewidth of the plate (perpendicular to the flow) is large, so thatthe problem can be considered as a 2D problem.
1. If the temperature of the plate is not to exceed 80°C at anyposition, what air velocity would be required? Evaluate the airproperties at 310 K. (3 pts)
2. Using the velocity calculated in part 1, find an expression forthe heat transfer coefficient (h) and surface temperature (Ts) as afunction of distance from the leading edge (x). Graph h and Ts forx = 1 ~ 60 cm.
3. If the length of the plate increases to 1.2 m and otherconditions (including the air properties) remain the same as inparts 1 and 2, what is the surface temperature at the end of theplate? Graph h and Ts for x = 0.6 ~ 1.2 m