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FLOWRATES A1. Q - volume flowrate X1 X2 X3 A2. mdot - mass flowrate X1 X2 X3 MINI-EXAM B. CE - CONTINUITY EQUATION B1. compressible flow X1 X2 X3 B2. incompressible flow X1 X2 X3 MINI-EXAM S1 F2 F8 F21 A92 C. EE - ENERGY EQUATION C1. EE X1 X2 X3 C2. EE & CE X1 X2 X3 C3. EE & CE & MM X1 X2 X3 MINI-EXAM D8 DE VII-2 S1 24-10 F1 A95 D. ME - MOMENTUM EQUATION D1. unconfined flow X1 X2 X3 D2. confined flow X1 X2 X3 MINI-EXAM D11DEVII-3 S4 24-14 F6 F14 F15 F17 E. PIPE-FLOW E1. Reynolds number X1 X2 X3 E2. head-loss X1 X2 X3 E3. moody chart X1 X2 X3 E4. fittings X1 X2 X3 E5. power X1 X2 X3 TI-89 ROUTINES MINI-EXAM F3 24-13 S3 24-11 F4 S2 F7 24-14 S1 F1 F18 F19 back to EIT syllabus F21 F22 A96 P45 P46 P47 P48 F. HYDRAULIC RADIUS F1. hydraulic radius X1 X2 X3 TI-89 ROUTINES MINI-EXAM D9 F10 F11 F18 A94 back to EIT syllabus V2E1. Reynolds number X1 X2 X3 V* 8o !MS Sans SerifStudy-guideproblems 81 !MS Sans SerifENSYSpractice problemsK888Ef Uv zz 8Jh% %!MS Sans SerifTHE BLUE SHEET' 8,B %!MS Sans SerifOpens A Block Of Topicsjj 8  1 %!MS Sans Serif888$# ss 8 x!  !MS Sans SerifPIPE FLOW~~ 8U@P !MS Sans SerifPRINT OUT THIS PAGE x888 xx 8]  !MS Sans SerifENSYS EIT / PEV888DdTt zz 8Qf %!MS Sans SerifTHE PINK SHEET 8 .1 %!MS Sans SerifStep-By-Step ProblemSolving Procedurejj 8#0  !MS Sans Serif an888 888jPw^kQv] 888Q>`R_? 8887ZY8 888E7W:F9V8 888M:WCNBV; 888 888 jj 8  !MS Sans Serif@jj 8  !MS Sans Serifqq 8"C/  !MS Sans Serif1 --> 2PE,8*;.        d yoxx82>4    < C``8275 e to888.C/B 888(G)F 888.D/C 8883:49 8883948 8883948 8885968 8883847 ``8>2G6@4 ``8D3I8E6 KXX8B4H8C6 jPP8C3E7D5 8PP8?4A8@6 PDpp8?4H8@6 hh8B4N8D6  * 9.pp8E4S8F6  ``8K4S8L6 ``8K4U8L6 ``8N4Y8O6  hh8P4\8Q6  an``8U5]9V7 D``8U4]8W6 CXX8X4^9Z6  XX8Z3_7[5 1 ) XX8[2_6]4 8PP8]4_8^6 ``8]4a9^6 hEPP8d2g6e4 PP8f1h5g3 ``8f2l7g4 PP8f4h8g6 PP8d3f7e5 ``8c4f8e6 XX8a1g7c3 ``8d2o6e4  pp8h3u7i5  ``8k4u8l6 hh8j4s8k6 XX8h4p8i6 xx8{>B~@  008[-h6\1    88867 8w} 0888JyVP| jj 8  !MS Sans Serifss 8 w !MS Sans SerifHEAD-LOSS]4pp 8 !MS Sans Serif[ 1 ] @oo 8Z)u9 !MS Sans Serif[ 2 ]e5888 ' & 88843 uu 8 !MS Sans SerifV1 = V2Q8 .  8  T 888   8 Y``8 XX8 hh8 ``8 CXX8  >hh8 ``8 888 xx 8H6V !MS Sans SerifvelocityheadHAww 85U !MS Sans Serifgravityheadll 8!E  !MS Sans SerifCEll 8  !MS Sans SerifZ1ss 8V  !MS Sans Serif+ kk 8  !MS Sans Serif+ ll 8r  !MS Sans Serif+ ll 8  !MS Sans Serif= kk 8=J  !MS Sans Serif+uu 8+  !MS Sans SerifP1----J 888KI 888|z xx 87q !MS Sans SerifL: pipe-lengthoo 8  !MS Sans SerifHL = kk 817  !MS Sans Seriffzz 8r  !MS Sans SerifV^2------2 gxx 86V !MS Sans Serifpressureheadyy 8? !MS Sans Seriffriction factor888 888 888 888>A?@ 888BSRC 888 888b=c> 888 ww 879G !MS Sans Serifgravity-datum 8}I !MS Sans SerifFriction in a pipe does not affect velocity ( flow ). 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                8 9     82)9462 Y8IVNbM`  8888   888$" 888*, vv 8UAe !MS Sans SerifCALCULATIONSqq 8` !MS Sans SerifANSWERSans888 , . 888 )"+  888))++ 888   jj 8wx !MS Sans Serif9jj 8! !MS Sans Serif 81Q !MS Sans SerifGIVEN DATA DIAGRAM TO FIND 8P4 !MS Sans Serif]- RE]- head-lossjj 856 !MS Sans Serif"" 8( !MS Sans SerifHAND-SOLVE THE ASSIGNED PROBLEMbefore viewing the solution.apply the information from the pink-sheetby hand-solving the problemPRINT OUT THE PAGEafter working the problem worjj 8Rb !MS Sans Serif888#% 888EdUt jj 85 %!MS Sans Serifjj 8#H %!MS Sans Serif~~ 8 %!MS Sans SerifTHE PROBLEM-SOLUTION 85 %!MS Sans SerifDiscussion Of The Problem8886m+7*n 888MVNU oo 8$<   !MS Sans Serif[ 1 ]pp 8Zg  !MS Sans Serif[ 2 ] 888>5LE?6KD 888 8885U]6T\ 888;o<p 888mrqn 888no 888< C=B  888<J=I ll 8 nM %!MS Sans SerifEEll 8M %!MS Sans SerifCEll 8!K; %!MS Sans SerifRemm 84  !MS Sans SerifRe kk 87  !MS Sans Serif=xx 8 Q  !MS Sans SerifV D----- v888UV 888 ll 8g  !MS Sans SerifZ1ss 8   !MS Sans Serif+ }kk 8AN  !MS Sans Serif+ll 8(};  !MS Sans Serif+ ll 8~  !MS Sans Serif= kk 8x  !MS Sans Serif+vuu 8c  !MS Sans SerifP1----J888 888 XX8 k``8 XX8 PP8  888 888 8      8888      Fvv 8b   !MS Sans SerifP2-----Jtt 8jH  !MS Sans SerifHL1 -> 2888 888 888 888 888 888 888 888 888 888 888 888 888 888 888 888 888 008       }} 8[a  !MS Sans SerifV2^2-------2 g ll 8y  !MS Sans Serif+ ll 8x  !MS Sans SerifZ2|| 8f.  !MS Sans SerifV1^2-------2 g 8o  !MS Sans SerifV1 A1 = V2 A2 = Q_88864 888YV[T ss 8  !MS Sans SerifQ---A6kk 8#.  !MS Sans Serif=kk 8)1  !MS Sans Serif= oo 8  !MS Sans SerifHL = 88!  !MS Sans Serif P1 - P2 -----------------_  8      || 8Q  !MS Sans Serif+ Z1 - Z2 = 8"  !MS Sans Serif ( 300 - 200 ) * 10^3 -------------------------- 9810F888( & 888OQ 888 L\ M[ 888BEDCFC 888O P 888 888 \p] o 888`oan 888 888 888<AERDB=Q 888BDKPCEJO 888 888 8885&uE6Dt' 888^&s)_(r' 888e'q8f7p( 888{| 888|~}} 888}~  8kE  !MS Sans SerifP1 = 300 KPaZ1 = 10 mxEll 8|$  !MS Sans SerifV1 89  !MS Sans SerifV2P2 = 200 KPaZ2 = 15 mss 8  !MS Sans SerifL = 100 mww 8x  !MS Sans SerifQ = 3 m^3/sec=888~ | 888SQ 888SQ 888Q=O; 888mQoO kk 8  !MS Sans SerifX Sakk 8 N*^ !MS Sans SerifZ?tt 8  !MS Sans SerifV1 = V2 = jj 8  !MS Sans SerifF 8w  !MS Sans Serifsolve EE for head-lossTT 8 Rb !MS Sans SerifFluid: Waterkin viscosity: V = 1.2 x 10^-6 m^2/sVolume flowrate: Q = 3 m^3/secpipe-length: L = 100 mpressure: P1 = 300 KPapressure: P2 = 200 KPadiameter: D = 1 melevation: Z1 = 10 melevation: Z2 = 15 m ss 8i !MS Sans SerifEQUATIONS 8  !MS Sans SerifX1 for the given flow through the pipe find the Reynolds number, RE and head-lossxx 8e  !MS Sans SerifENSYS EIT / PE888qr xx 8u7  !MS Sans Serifgravitydatum~~ 88BR  !MS Sans Serifkinematicviscosity888ACBB 888^S`Q rr 8% !MS Sans SerifSOLUTIONqq 8x !MS Sans SerifANSWERS,88846 8881?3= 888C/E1 888ge 888km  8d6  !MS Sans Serif 3.175 * 10^6 > 2000kk 8-8  !MS Sans Serif=!Mkk 8/:#  !MS Sans Serif=888o $q" 888mo 888oq rr 8t  !MS Sans Serif3.82 m/s 8P  !MS Sans Serif 3-----------------pie/4 ( 1 ) ^28|| 8'^7 !MS Sans Serifflow is turbulent N> 8NS  !MS Sans Serif 3.82 ( 1 ) -----------------1.2 * 10^-6jj 8#3 !MS Sans Serif+jj 8. !MS Sans Serif 8m8 !MS Sans Serif]- RE]- head-lossjj 8tLu\ !MS Sans Serifjj 8M3NC !MS Sans Serif--- 8  !MS Sans Serif+ ( 10 - 15 ) = 5.194 m6 8+5U !MS Sans SerifGIVEN DATA DIAGRAM TO FINDjj 8  !MS Sans Serifhe 8-/} !MS Sans SerifVIEW THE SOLUTIONLISTEN TO THE DISCUSSIONPRINT OUT THE PAGEafter viewing and listening to the discussionjj 8u !MS Sans Serifd888"6z$4x 888IoY  8= %!MS Sans SerifTHE TRAINING PROGRAM MANUALS`888XdYc 888oxpw 8 ? 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