NEB Class 12 Science Fluids Mechanics Question Paper 2082 (Set C)

The physical principle behind the Bernoulli's equation deals with the law of conservation of :

For a given value of specific energy, there are two possible depth. Which are known as:

If the fluid flowing through a pipe has Reynold'a number 500, then the flow is

Total static energy in a fluid is sum of :

In case of vertical rectangular lamina of depth 'h' is immersed in fluid, the center of pressure from the surface will be at:

When the pipe are connected in a parallel, the total rate of flow is

The specific gravity of an oil whose specific weight is $7.85\,\text{KN/m}^3$ is

The relation between hydraulic depth D and the critical depth yc for a rectangular channel sections during critical flow is :

The relationship between CV, Cc and Cd is

What is bulk modulus of fluid? What does it measure? A layer of oil separates two plates $20\,\text{mm}$ apart. Bottom plate is stationary, and a force $P$ is applied to top plate, so that it moves at a steady speed of $25\,\text{mm/s}$. Velocity profile of the oil is given as: $u(y) = \frac{11.822}{y^{1/4}}$. Taking $\mu = 0.084\,\text{kg-m/s}$, find the shear stress in the oil as function of $y$.

How is Reynold's number used to classify flow through pipes? Derive expression for Reynolds number.

Define Hydraulic Gradient line and total Energy line. Water comes out from your kitchen tap, $2\,\text{cm}$ diameter at a rate of $6\,\text{lpm}$. At what rate will water flow out of your basement tap of diameter $1\,\text{cm}$ and located at height $3\,\text{m}$ below kitchen tap? Assume that atmospheric pressure, doesn't change appreciably between your kitchen and basement.

Derive Darcy - Weisbach equation for frictional loss in pipes.

A channel $5\,\text{m}$ wide at the top and $2\,\text{m}$ deep, has side slope 2V:1H. bed slope of channel is 1 in 1000. Find the volume rate of flow when depth of water is $1\,\text{m}$. Take $C = 53$. What would be the depth of water if flow rate were to be doubled?

A vertical rectangular gate of $4\,\text{m}$ height and $4\,\text{m}$ long has water on the top one side to a depth of $3\,\text{m}$ and a fluid of specific gravity 0.85 to a depth of $2\,\text{m}$ on the other side. Calculate :

a) The total pressure force exerted on each side of the gate.

b) Center of pressure force on each side of the gate.

c) Resultant pressure force and its points of application.

d) Sketch pressure diagram.

A $25\,\text{mm}$ diameter orifice discharge $0.76\,\text{cubic meters}$ of water per minute when head is $6\,\text{m}$. The diameter of the jet is $22.5\,\text{mm}$. Determine.

a) coefficient of contraction

b) coefficient of velocity

c) coefficient of discharge

d) loss of head due to fluid resistance