Solve wave equation 2 2 = 4 2 2 , 0 ≤ , ≥ 0 , by Laplace transformation: 0, = , > 0 ux(1,t) = 0 . . , 0 = 0 , , 0 = 0 <_ x <_1

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

Which of the following refers to refers to how well the control system responds to sudden changes in the system. a)-transient regulation b)- distributed regulation c)-constant regulation d)-steady-state regulation

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.