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

Thermal conductivity is lower for

An iron rod $$\left( {K = 41.5W/mK} \right)$$ of $$15mm$$ diameter and $$160mm$$ long extends out of a hot surface of temp $${150^ \circ }C$$ into environment at $${36^ \circ }C.$$The free end of the rod is insulated. If the film heat transfer coefficient is $$25W/{m^2}K,$$ calculate the rate of heat flowing out of the hot surface through the rod and the temp at the insulated end of the rod.

In pool boiling the highest $$HTC$$ occurs in