1

GATE ME 2001

Subjective

+5

-0

Water $$\left( {\rho = 1000\,\,kg/{m^3}} \right)$$ flows horizontally through a nozzle into the atmosphere under the conditions given below. (assume steady state flow).

**At inlet: $$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$ At outlet:**

$${A_1} = {10^{ - 3}}{m^2};\,$$ $$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$ $${A_2} = {10^{ - 4}}{m^2};$$

$${V_1} = 2\,m/\sec ;$$ $$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$$$\,\,\,\,\,\,\,$$ $${P_2} = {P_{atm}}$$

$${P_1} = 3 \times {10^5}\,Pa\,(gauge)$$

Determine the external horizontal force needed to keep the nozzle

2

GATE ME 1992

Subjective

+5

-0

A Venturimeter (throat diameter $$=10.5$$ $$cm$$) is fitted to a water pipe line (internal diameter $$=21.0$$ $$cm$$) in order to monitor flow rate. To improve accuracy of measurement, pressure difference across the venturimeter is measured with the help of an inclined tube manometer, the angle of inclination being $${30^0}$$ (see figure below). For manometer reading of $$9.5$$ $$cm$$ of mercury, find the flow rate.Discharge coefficient of venture is $$0.984.$$

3

GATE ME 1990

Subjective

+5

-0

A jet of water with a velocity $${V_1}$$ (Figure shown below) and area of cross-section $${A_1}$$ enters a stream of slow moving water in a pipe of area $${A_2}$$ and velocity $${V_2}$$. The two streams enter with the same pressure $${P_1}$$. After thoroughly mixing in the pipe the stream emerges as a single stream with velocity $${V_3}$$ and pressure $${p_2}$$. If there are no losses in the flow, determine $$\left( {{p_2} - {p_1}} \right)$$ for

$${V_1} = 20\,\,m/s,\,\,$$

$${V_2} = 10\,\,m/s,\,\,$$

$${A_1} = 0.01\,\,{m^2},\,$$

$$\,{A_2} = 0.02\,{m^2},$$

density of water $$\rho = 1000kg/{m^3}.$$

$${V_1} = 20\,\,m/s,\,\,$$

$${V_2} = 10\,\,m/s,\,\,$$

$${A_1} = 0.01\,\,{m^2},\,$$

$$\,{A_2} = 0.02\,{m^2},$$

density of water $$\rho = 1000kg/{m^3}.$$

4

GATE ME 1989

Subjective

+5

-0

In a syringe as shown in the figure, a piston of $$1\,\,c{m^2}$$ cross section is pushed at a constant speed of $$10\,\,cm/s$$ to eject water through an outlet of $$1\,\,m{m^2}.$$ Determine the force required to move the piston. Neglecting losses.

Questions Asked from Fluid Dynamics (Marks 5)

Number in Brackets after Paper Indicates No. of Questions

GATE ME Subjects

Engineering Mechanics

Strength of Materials

Theory of Machines

Engineering Mathematics

Machine Design

Fluid Mechanics

Turbo Machinery

Heat Transfer

Thermodynamics

Production Engineering

Industrial Engineering

General Aptitude