Consider the rayleigh problem, where the plate is moved with the velocity vx(y = 0; t) = t n, where the exponent n is a parameter. by looking for similarity solutions show that the velocity may be written as vx(y; t) = t ϵg(y t β). what are the values of β and ϵ? write the ordinary differential equation that g must satisfy with the corresponding boundary conditions. solve this equation for n=1/2. comment on how the diffusion length scales with time?

Asingle-geared blanking press has a stroke of 200 mm and a rated capacity of 320 kn. a cam driven ram is assumed to be capable of delivering the full press load at constant force during the last 15 percent of a constant-velocity stroke. the camshaft has an average speed of 90 rev/min and is geared to the flywheel shaft at a 6: 1 ratio. the total work done is to include an allowance of 16 percent for friction a) estimate the maximum energy fluctuation b) find the rim weight for an effective diameter of 1.2 m and a coefficient of speed fluctuation of 0.10

During a steady flow process, the change of energy with respect to time is zero. a)- true b)- false

Air flows over a heated plate àt a velocity of 50m/s. the local skin factor coefficient at a point on a plate is 0.004. estimate the local heat transfer coefficient at this point.the following property data for air are given: density = 0.88kg/m3 , viscosity 2.286 x 10 ^-5 kgm/s , k = 0.035w/mk ,cp = 1.001kj/kgk. use colburn reynolds analogy.