Consider laminar, fully developed flow in a channel of constant surface temperature t for a given mass flow rate and channel length, determine which rectangular channel, b/a - 1.0,1.43, or 2.0, will provide the highest heat transfer rate. is this heat transfer rate greater than, equal to, or less than the heat transfer rate associated with a circular tube?

Steam at a pressure of 100 kpa and a quality of 50% initially fills a rigid vessel having a volume of 0.5 m^3. the steam is then heated, causing the pressure in the vessel to rise to 150 kpa. determine: i. the mass of the steam in the vessel. ii. the temperature and quality of the steam after the heating process. ii the mass of the vapour, mg and liquid, m in the vessel after the heating process. if the steam in the vessel is now further heated, what would the pressure and temperature in the vessel be when all steam has turned into saturated vapour? b. sketch the processes in part (a) and part (b) on p-v and t-v diagrams, indicating clearly the temperatures, pressures and the paths. c. (0.59kg, 111.4°c, 73%, 0.4307kg, 0.1 593kg, 2.11 bar, 121.84°c)

Water flows at the rate of 200 i/s upwards through a tapered vertical pipe. the diameter at marks(3) clo5) the bottom is 240 mm and at the top 200 mm and the length is 5m. the pressure at the bottom is 8 bar, and the pressure at the topside is 7.3 bar. determine the head loss through the pipe. express it as a function of exit velocity head.

Derive the 2-d finite difference equation for a uniform grid for a node: a) at a plane surface with a uniform heat flux b) at an internal corner with convection