A blow dryer with a total power draw of 1000W and a 2-inch diameter constant area duct is used to heat and blow air onto your head. To evaporate water, one wants both high temperature and high airspeed. If the evaporation rate scales with u2T, how should you apportion the power between air heating and blowing? You may assume a steady flow of calorically perfect air with R=287J/kgK and =1.4. (a) For the air acceleration, we can relate the fan velocity and required power by W=2C11u13A, where C is an efficiency factor and A is the cross-sectional area of the fan. At what power level does our incompressible flow assumption break down, if C=0.3? (b) What is the mass flow rate given 100 Watts of power? (c) For a low-speed flow, heat transfer can be modeled as an isobaric process. What is the temperature change given a specific heat transfer of q=50kJ/kg ? (d) Given these models, combined with mass conservation, determine the optimum balance of heating and blowing to maximize u2T with a constant total power of Q+W=P0=1000W 1 (e) For the optimum parameters, compute the exit velocity and static temperature. If you did not find the optimum parameters, apportion the power by 1/2 each