9.19 Generate Bode magnitude and phase plots (straight-line approximations) for the following voltage transfer functions. (a) H(ω) = 4×104(60+j6ω) (4+j2ω)(100+j2ω)(400+j4ω) (b) H(ω) = (1+j0.2ω)2(100+j2ω)2 (jω)3(500+jω) (c) H(ω) = 8×10−2(10+j10ω) jω(16−ω2 +j4ω) (d) H(ω) = 4×104ω2(100−ω2 +j50ω) (5+j5ω)(200+j2ω)3

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)