A liquid is entering a 10 m long pipe of 0.2 m diameter at 25°C with an average velocity of 0.02 m/s. The pipe is kept at a constant surface temperature of 40°C. Assume the flow is both hydrodynamically and thermally fully-developed in the pipe. Find out the outlet temperature. Justify if the assumption of fully-developed flow is appropriate. The properties of the fluid can be assumed constant with following values Density: 484.2 kg/m³; Specific heat capacity: 2802 J/kg-K; Thermal conductivity: 0.0904 W/m.K; Dynamic viscosity: 9.197 x 10-5 kg/m-s; Prandtl number: 2.85. 29.3 ℃

A fluid with a constant density of 961 kg/m3 and a constant viscosity of 1.419×10-3 Kg/m.s is flowing over a flat plate at a stream free velocity of 0.87 m/s. If the plate has a length of 2 m, answer the following: 1.What is Reynolds number at a point that is (1/4)L down the entrance?  2.Is the flow laminar or turbulent? 3.Calculate the thickness of the boundary layer in mm at (1/4)L down the entrance 4.Calculate the drag coefficient at (1/4)L down the entrance