Consider an infinitely thin flat plate of chord c at an angle of attack α in asupersonic flow. The pressures on the upper and lower surfaces aredifferent but constant over each surface; that is, pu(s) = c1 andpl (s) = c2, where c1 and c2 are constants and c2 > c1. Ignoring the shearstress, calculate the location of the center of pressure.

Please also explain.

4. Consider fully developed laminar flow in the annular space formed by two concentric cylinders with a pressure gradient, op/ax, and the inner cylinder stationary. Let r = Rand r = kR. Assuming that the velocity profile is given by u: [¹-( 7 )² + +(ma 1 R R² ap 4μ &x 1-k² In- In(1/k) R a) Obtain an expression for the location of the maximum velocity as a function of k. b) Compare the limiting case, k→ 0,with the corresponding expression for flow in a circular pipe. c) Determine the volume flow rate. d) Find an expression for the average velocity. e) Compare the limiting cases for the volume flow rate and average velocity, k →0, with the corresponding expression for flow in a circular pipe.

Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and v = 2yt. Do the fluid elements experience angular rotation? Thus, state whether the flow field is rotational or irrotational.

1.A) A fluid of density ρ=850 kg/m3 and viscosity µ=0,8 Pa s is completely filling the spacing h= 2 cm between two parallel horizontal plates of length 2,5 m and width 1 m . The upper plate is pulled at a speed of U while lower plate is fixed . In order to generate a laminar steady incompressible flow of fluid in the spacing at a rate of 0,85 kg/s determine total shearing force in the field.ANSWER:10 N 1.B) A fluid of density ρ=850 kg/m3 and viscosity µ=0,8 Pa s is completely filling the spacing h= 2 cm between two parallel horizontal plates of length 2,5 m and width 1 m . The upper plate is pulled at a speed of U while lower plate is fixed . In order to generate a laminar steady incompressible flow of fluid in the spacing at a rate of 0,85 kg/s determine Reynolds Number of flow using the spacing as the characteristic dimension.ANSWER: 2,125 1.C) A fluid of density ρ=850 kg/m3 and viscosity µ=0,8 Pa s is completely filling the spacing h= 2 cm between two parallel horizontal plates of…