9)Find Laurent series expansion of the function 1/ z²+z-6 in the regions
1<|z-1 <4 and |z-1|> 4.
Explain briefly step by step process?
Find Laplace transform of the function f(t)={t, 0≤t<1 ; 2-t,1≤t≤2 and f(t+2)=f(t)
Explain briefly step by step process?
Velocity profile of a liquid is shown below:
If the shear stress per unit surface area on the rigid plate over which the liquid flows is measured to be 0.083 N/m2.
1. Calculate the viscosity of the liquid .
2. What is the maximum velocity at the free surface if the plate is tilted by an angle of 60o to the horizontal plane and the liquid is allowed to down freely keeping the same film thickness? There is no pressure gradient in the direction of flow. Density of the liquid is 887 kg/m3.
Heat is flowing through an annular wall of inside radius ‘Ri’ and outside radius ‘Ro’. The thermal conductivity varies linearly with the temperature from ki at Ti and ko at To. Find the temperature profile and develop an expression for the heat flow through the wall at r = Ro .
15. What are the three major types of reinforcement used in prestressing?