Air (density 1.225 kg/m3, kinematic viscosity is 1.5×10-5m2/s) is supplied through the following duct (a = 200 mm, b = 600 mm) at a speed of 3 m/s. Calculate the Reynolds number and determine if its flow regime (For Re <105, flow is laminar.)?

a. a long rectangle of constant area A containing an irregu- larly shaped obstacle (figure 2). The upstream flow into the tube is u1 = (U, 0). Determine the flow at point 2, far downstream of the obstacle. b. now write down steady conservation of momentum in integral form, taking a simple control volume including points (1) and (2). Include pressure forces and horizontal drag from the particle but ignore viscosity. c. thus, determine the value of the drag force for an arbitrary irregular shaped obstacle in an inviscid, incompressible, irrotational fluid flow.

Water at 10°C has a kinematic viscosity of 1.30 X 10-6 m2/s flows at the rate of 895.55 L/min from the reservoir and through the pipe shown in the Fig. below. Compute the pressure at point B, considering the energy loss due to friction, but neglecting other losses. Also, use pipe roughness of 1.50 X 10-6 m. Hint: Use the appropriate formula to determine the friction factor, f to 4 decimal places (flow type dependant); g = 9.81 and round off to 3 decimal places for all other step calculations leading to the final answer including the final answer.

An oil of specific gravity 0.77 and viscosity 0.05 poise is flowing through a pipe of diameter240mm at a rate of 50 liters/s. Find the headloss due to friction for a 1000 m length of pipe. Also find the power required to maintain thisflow.    Explain with clear writing and units and diagram Also if you use tables and equation mention it with explanation