fall_2003_q5f_sol

# fall_2003_q5f_sol - Uniﬁed Engineering Fluids Quiz 1(QF5...

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Unformatted text preview: Uniﬁed Engineering Fluids Quiz 1 (QF5) Fall 2003 Page 1/3 1. (30 %) A proposed winged blimp design ﬂies at some angle of attack �, and uses both aerodynamic lift and aerostatic lift (buoyancy) to generate its total lift force L. The blimp has a given shape, but its length c is as yet undecided. � c a) In addition to the given � and c, list all the remaining physical parameters which signiﬁ­ cantly inﬂuence L. g (L, �, c, . . .) = 0 b) Determine a set of nondimensional parameters (or Pi products) which describe this situ­ ation. c) Identify the nondimensional parameter which determines whether or not the aerodynamic force is signiﬁcant compared to the buoyancy force. Uniﬁed Engineering Fluids Quiz 1 (QF5) Fall 2003 Page 2/3 2. (40 %) A toy rocket traveling at steady speed is propelled by a thin water jet with velocity V1 and cross-sectional area A directed ino the rocket’s open bottom end. The water then p ours out of the b ottom at speed V2 . These velocities are as seen by an observer moving alongside the rocket. V2 V1 A a) Draw a suitable control volume for analyzing this ﬂow situation. Determine the mass and momentum ﬂows for your chosen control volume. b) What is the vertical thrust force imparted by the water? You may neglect the eﬀect of gravity on the water velocities. Uniﬁed Engineering Fluids Quiz 1 (QF5) Fall 2003 Page 3/3 3. (30 %) A 2-D velocity ﬁeld is given by u(x, y ) = x , v (x, y ) = −y a) Determine and sketch the streamline pattern. b) Determine the circulation around the unit-square curve shown (Note: This is curve is not a streamline of this ﬂow) y 1 1 x ...
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fall_2003_q5f_sol - Uniﬁed Engineering Fluids Quiz 1(QF5...

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