Fluid Mechanics Assignment $03$

$\backslash$table$[[1.,\backslash$table$[[$Derive the MEB equation and Bernoulli equation and sta$],[$each step.$]],\backslash$table$[[$assump$]],\backslash$table$[[$nou took in$]]],[2.,\backslash$table$[[$A pressure of $10$ kPa $,$ gage, is applied to the surface of$],[$water in an enclosed tank. The distance from the water$],[$surface to the outlet is $0\mathrm{.}5$ m $.$ The temperature of the$],[$water is $20C.$ Find the velocity $(\frac{m}{s})$ of water at the$],[$outlet$.$ The speed of the water surface is much less$],[$than the water speed at the outlet.$]],10.$ves ove,$\backslash$table$[[,,,],[3.,\backslash$table$[[$In the figure below, pipes $1$ and $2$ are of diameters $3],[$cm ; D$3=4cm.$ Alcohol $(s.g.=0\mathrm{.}8)$ enters section $1$ at$],[6\frac{m}{s}$ while water enters section $2$ at $10\frac{m}{s}.],[$assuming ideal mixing of incompressible fluids, compute$],[$the exit velocity and the density of the mixture at$],[$section $03.$ The temperature is $20C.]],,],[4.,\backslash$table$[[$Water flows from $A,$ where the diameter is $12],[$in $,$ to B where ethe diameter is $24$ in$,$ at a$],[$rate of $13\mathrm{.}2$ cfs $.$ The pressure head at A is$],[22\mathrm{.}1$ ft $.$ considering no loss of energy, find the$],[$pressure head at $B.]],,],[5.,\backslash$table$[[$Oil flows from a tank through $500$ ft of $6$ in$],[$diameter pipe and then discharges into air. If$],[$the head loss from point $1$ to point $2$ is $1\mathrm{.}95],[$ft of oil, determine the pressure needed at$],[$point $1$ to cause $0\mathrm{.}60f{t}^3$ of oil to flow.$]],$dots,$],[6.,\backslash$table$[[$For the water shooting out of the pipe and nozzle$],[$under conditions shown below, find the height$],[$above the nozzle to which water jet will maximum$],[$reach$.$ Assume negligible losses.$]],,]]]]$