Fluid Mechanics and Hydraulic Machinery Miscellaneous Easy Questions and Answers

Fluid Mechanics and Hydraulic Machinery Miscellaneous

Consider steady flow of an incompressible fluid through two long and straight pipes of diameters d₁, and d₂ arranged in series. Both pipes are of equal length and the flow is turbulent in both pipes. The friction factor for turbulent flow though pipes is of the for, f = K(Re)^–n, Where K and n are known positive constants and Re is the Reynolds number. Neglecting minor losses, the ratio of the frictional pressure drop in pipe
1 to that in pipe 2. ∆P₁ , is given by
∆P₂

A channel of width 450 mm branches into two sub-channels having width 300 mm and 200 mm as shown in figure. If the volumetric flow rate (taking unit depth) of an in compressible flow through the main channel is 0.9 m³/s and the velocity in the sub-channel of width 200 mm is 3 m/s, the velocity in the sub-channel of width 300 mm is ________m/s.
Assume both inlet and outlet to be at the same elevation.

For steady flow of a vlscous In compressible fluid through pipe of constant of diameter, the average veloolty In the fully developed region is constant, Which one of the following statements about the average velocity in the developing region is TRUE?

1. It increases until the flow is fully developed,
  (b)
1. It is constant and is equal to the average velocity in the fully developed region,
1. It decreases until the flow is fully developed.
1. It is constant but is always lower than the average velocity in the fully developed region,

Consider a fully developed steady laminar flow of an in compressible fluid with viscosity μ. through a circular pipe of radius R, Given that the velocity at a radial location of R/2 from the centerline of the pipe is U₁, the shear stress at the wall is KμU₁ /R, where K is _______.

Consider fluid flow between two infinite horizontal plates when are parallel (the gap between them being 50 mm), The top plate is sliding parallel to the stationary bottom plate at a speed of 3 m/s.
The flow between the plates is solely due to the motion of the top plate. The force per unit area (magnitude) required to maintain the bottom plate stationary is ________ N/m².
Viscosity of the fluid μ = 0.44 kg/ms and density p = 888 kg/m³.

1 to that in pipe 2.		∆P₁		, is given by
		∆P₂

		d₂		^{(5 - n)}
		d₁

		d₂		⁵
		d₁

		d₂		^{(3 - n)}
		d₁