The velocity field for a plane vortex sink is given by V¯ = (-q/2πr) e¯r + (K/2πr) e¯θ, where q = 6 m3/s/m and K = 3 m3/s/m. The fluid density is 1006 kg/m3. Find the acceleration at (a) (1, 0), (b) (2, π/2), and (c) (2, 0). (d), (e), (f) Evaluate ∇p under the same conditions.

Explain the difference laminar and turbulent flow. explain it with the shear stress and the velocity profiles.

The higher the astm grain-size number, the coarser the grain is. a)-true b)-false

At steady state, air at 200 kpa, 325 k, and mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. the inlet cross-sectional area is 6 cm2. at the duct exit, the pressure of the air is 100 kpa and the velocity is 250 m/s. neglecting potential energy effects and modeling air as an 1.008 kj/kg k, determine ideal gas with constant cp = (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in k. (c) the exit cross-sectional area, in cm2