The velocity field for steady inviscid flow from left to right over a circular cylinder, of radius R is given by V! =U cos θ 1− R r 2 " # ^er −U sin θ 1+ R r 2 " # ^eθ Obtain expressions for the acceleration of a fluid particle moving along the stagnation streamline ðθ =πÞ and for the acceleration along the cylinder surface ðr =RÞ. Plot ar as a function of r=R for θ =π, and as a function of θ for r =R; plot aθ as a function of θ for r =R. Comment on the plots. Determine the locations at which these accelerations reach maximum and minimum values.

If you were designing a bumper for a car, would you prefer it to exhibit elastic or plastic deformation? why? consider the functions of a bumper in both a minor "fender-bender" and a major collision.

Air is to be cooled in the evaporator section of a refrigerator by passing it over a bank of 0.8-cm-outer-diameter and 0.4-m-long tubes inside which the refrigerant is evaporating at -20°c. air approaches the tube bank in the normal direction at 0°c and 1 atm with a mean velocity of 4 m/s. the tubes are arranged in-line with longitudinal and transverse pitches of sl- st 1.5 cm. there are 30 rows in the flow direction with 15 tubes in each row. determine (a) the refrigeration capacity of this system and (b) pressure drop across the tube bank. evaluate the air properties at an assumed mean temperature of -5°c and 1 atm. is this a good assumption?

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