1
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
Oil flows through a $$200mm$$ diameter horizontal cast iron pipe (friction factor, $$f=0.0225$$) of length $$500m.$$ The volumetric flow rate is $$0.2{m^3}/s.$$ The head loss (in $$m$$) due to friction is (assume $$g=9.81$$ $$m/{s^2}$$)
A
$$116.18$$
B
$$0.116$$
C
$$18.22$$
D
$$232.36$$
2
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider steady laminar incompressible axi-symmetric fully developed viscous flow through a straight circular pipe of constant cross - sectional area at a Reynolds number of $$5.$$ The ratio of inertia force to viscous force on a fluid particle is
A
$$5$$
B
$${1 \over 5}$$
C
$$0$$
D
$$\infty $$
3
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider an incompressible laminar boundary layer flow over a flat plate of length $$L$$, aligned with the direction of an incoming uniform free stream. If $$F$$ is the ratio of the drag force on the front half of the plate to the drag force on the rear half, then
A
$$F < {\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$
B
$$F = {\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}$$
C
$$F=1$$
D
$$F>1$$
4
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider a steady incompressible flow through a channel as shown below. GATE ME 2007 Fluid Mechanics - Boundary Layer Question 3 English

The velocity profile is uniform with a value of $${u_0}$$ at the inlet section $$A$$. The velocity profile at section B down stream is

$$$u\left\{ {\matrix{ {{V_m}{y \over \delta },} & {0 \le y \le \delta } \cr {{V_m},} & {\delta \le y \le H - \delta } \cr {{V_m}{{H - y} \over \delta },} & {H - \delta \le y \le H} \cr } } \right.$$$

The ratio $${{{V_m}} \over {{u_0}}}$$ is

A
$${1 \over {1 - 2\left( {\delta /H} \right)}}$$
B
$$1$$
C
$${1 \over {1 - \left( {\delta /H} \right)}}$$
D
$${1 \over {1 + \left( {\delta /H} \right)}}$$
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