1
GATE ME 2006
MCQ (Single Correct Answer)
+2
-0.6
A smooth flat plate with a sharp leading edge is placed along a gas stream flowing at $$U = 10\,m/s.$$ The thickness of the boundary layer at section $$r$$- $$s$$ is $$10$$ $$mm,$$ the breadth of the plate is $$1$$ $$m$$ (into the paper) and the density of the gas, $$\rho = 1.0\,kg/{m^3}.$$ Assume that the boundary layer is thin, two-dimensional, and follows a linear velocity distribution, $$u = U\left( {y/\delta } \right),$$ at the section $$r$$-$$s$$, where $$y$$ is the height from plate. GATE ME 2006 Fluid Mechanics - Boundary Layer Question 4 English

The integrated drag force (in $$N$$) on the plate, between $$p$$-$$s$$, is

A
$$0.67$$
B
$$0.33$$
C
$$0.17$$
D
zero
2
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
For air flow over a flat plate, velocity $$(U)$$ and boundary layer thickness $$\left( \delta \right)$$ can be expressed respectively, as $$${U \over {{U_\infty }}} = {3 \over 2}{y \over \delta } - {1 \over 2}{\left( {{y \over \delta }} \right)^3}\,\,\,\,;\,\,\,\,\delta = {{4.64x} \over {\sqrt {{{{\mathop{\rm Re}\nolimits} }_x}} }}$$$
If the free stream velocity is $$2$$ $$m/s$$, and air has Kinematic viscosity of $$1.5 \times {10^{ - 5}}{m^2}/s$$ and density of $$1.23$$ $$kg/{m^3}$$, then wall shear stress at $$x=1$$ $$m$$, is
A
$$2.36 \times {10^2}\,\,N/{m^2}$$
B
$$43.6 \times {10^{ - 3}}\,\,N/{m^2}$$
C
$$4.36 \times {10^{ - 3}}\,\,N/{m^2}$$
D
$$2.18 \times {10^{ - 3}}\,\,N/m$$
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