1
GATE ME 2003
+2
-0.6
A syringe with a frictionless plunger contains water and has at its end a $$100$$ $$mm$$ long needle of $$1$$ $$mm$$ diameter. The internal diameter of the syringe is $$10$$ $$mm.$$ Water density is $$1000\,\,kg/{m^3}.$$ . The plunger is pushed in at $$10$$ $$mm/s$$ and the water comes out as a jet.

Neglect losses in the cylinder and assume fully developed laminar viscous flow throughout the needle; the Darcy friction factor is $${64/R_e}$$. Where $${R_e}$$ is the Reynolds number. Given that the viscosity of water is $$1.0 \times {10^{ - 3}}\,\,kg/m\,\,\,s,$$ the force $$F$$ in newtons required on the plunger is

A
$$0.13$$
B
$$0.16$$
C
$$0.3$$
D
$$4.4$$
2
GATE ME 1998
+2
-0.6
The discharge velocity at the pipe exit in figure is
A
$$\sqrt {2gH}$$
B
$$\sqrt {2gh}$$
C
$$\sqrt {g\left( {H + h} \right)}$$
D
$$0$$
3
GATE ME 1994
Fill in the Blanks
+2
-0
Fluid is flowing with an average velocity of $$V$$ through a pipe of diameter $$d.$$ over a length of $$L,$$ the “head” loss is given by $${{fL{V^2}} \over {2gD}}.$$ The friction factor, $$f,$$ for laminar flow in terms of Reynolds number ($$Re$$) is ______________ (fill the blank)
4
GATE ME 1993
Subjective
+2
-0
Shown below are three tanks, tank $$1$$ without an orifice tube and tanks $$2$$ and $$3$$ with orifice tubes as shown. Neglecting losses and assuming the diameter of orifice to be much less than that of the tank, write expressions for the exit velocity in each of the three tanks.
GATE ME Subjects
EXAM MAP
Medical
NEET