An inverted U-tube manometer is used to measure the pressure difference between two pipes $$A$$ and $$B,$$ as shown in the figure. Pipe $$A$$ is carrying oil (specific gravity $$= 0.8$$) and pipe $$B$$ is carrying water. The densities of air and water are $$1.16\,\,kg/{m^3}$$ and $$1000\,\,kg/{m^3},$$, respectively. The pressure difference between pipes $$A$$ and $$B$$ is _______________$$kPa.$$

$$Acceleration$$ $$due$$ $$to$$ $$gravity$$ $$g = 10\,m/{s^2}$$

The instantaneous stream-wise velocity of a turbulent flow is given as follows: $$$u\left( {x,y,z,t} \right) = \overline u \left( {x,y,z} \right) + \mu '\left( {x,y,z,t} \right)$$$

The time - average of the fluctuating velocity $$u'(x,y,z,t)$$

A steady laminar boundary layer is formed over a flat plate as shown in the figure. The free stream velocity of the fluid is $${U_0}.$$ The velocity profile at the inlet $$a$$-$$b$$ is uniform, while that at a downstream location $$c$$-$$d$$ is
given by $$u = {U_0}\left[ {2\left( {{y \over \delta }} \right) - {{\left( {{y \over \delta }} \right)}^2}} \right]$$

The ratio of the mass flow rate, $$\mathop {m{}_{bd}}\limits^ \bullet ,$$ leaving through the horizontal section $$b$$-$$d$$ to that entering through the vertical section $$a$$-$$b$$ is

A plastic sleeve of outer radius $${r_0} = 1\,\,mm$$ covers a wire (radius $$r = 0.5$$ $$mm$$) carrying electric current. Thermal conductivity of the plastic is $$0.15\,\,W/m$$-$$K$$. The heat transfer coefficient on the outer surface of the sleeve exposed to air is $$25$$ $$W/{m^2}$$-$$K$$. Due to the addition of the plastic cover, the heat transfer from the wire to the ambient will