Show assumptions and solve both problems

1. What is the pressure drop associated with water at 27C flowing with a mass flow rate of 3.5 kg/s through a 600-m-long cast iron pipe of 0.15-m inside diameter? 2. Consider pressurized water, engine oil (unused), and NaK (22%/78%) flowing in a 20-mm- diameter tube. Determine the mean velocity, the hydrodynamic entry length, and the thermal entry length for each of the fluids when the fluid temperature is 100C and the flow rate is 0.01 kg/s. V= 0. 01 Teal THEMES 834 X TI x (0. 02 ) 2 = 0.0 3 816 m/s X = 0.05X Re. D =0105 x 834 x 0 03816 X 0, 02 *0 10 2 132 84 X 16 6 512 X106 = 1.243 m X t = 0. 05 Re ( D ) ( P x ) = 1. 243 X0, 0193 = 0. 024 mAt look, T = 373k Density of water (P ) = 957. 64 kg/ mp from viscosity ( M ) = 285. 94 NS X106 steam table. " ( a ) 1=1.726 V = M (V - Mean velocity / P Ac 0 . 0 1 ( 957 . 6 4) ( 7 /4 x ( 6.02) 2 ) V = 0 . 03 32 m /s Reynold's Number Re = POV = 95 7 . 64 x 0 . 02 X 0, 03 32 = 0.6358 To Calculate hydrodynamic entrance length n = 0.05 Re. D = 01 05 X 0. 6358 x 0. 0 M = 6. 358 X 104 3 To determine thermal entrance length Xt = 0,05Re D (PV) = 0105 x 0.6 358 x (0. 02 ) PYFrom @,1 x (2) =) n = 6. 258 x 104 = 2. 2235 x10 6 285 - 94 x10 156 = 2. 2235 At = 0: 05 x 0 6358 X0 , 02 X 1. 776 285. 94 x 106 = 1. 1292 X103 = 3. 949 *10 6 285. 94 X106 = ,3. 949 156 " For Engine oil? At T = 373 1 ; P = 840, 08 kglimJ M = 1. 863 X 10 2 PY = 299. 70 V = 0.01 0.037 840, 08 x T (0. 02 )2 m / s 4 X = 0.05 x Defied 0. 037 840 08 X $5X0 1 02 X 0 1 02 1 . 8 63 X 10 2 X = #16 010333 m * + = 0.05 Re . D.. DY 01037 = 0.05 x 840. 08X #X0102 1. 862 X 162 X 0. 02 X 299. 70 -840 948 = 9. 998 m For Nak At T = 373k ; P = 834 kg /m3 M = 381 84 6 512 x 106 PY = 0. 01923