Basic Eqaions ME 9 Fomla Shee R µ F F A A ηv V el η η A Vssem ( ) V el A F F V A ( ) S B XYZ XYZ el g F F a V V A S B / XYZ el M M A V ( ) S B el ( ) Q W ev e A hee V e g ino on el V consan (o invisci lo) g g V V L V V α g α g hl hs ΣΚ hs V V L V V WS α α HL HS hee HL ΣΚ an HS g g g g g g mg V V s Vs v sha ( V V )m; H ; NPSH g g g g g g g ischage scion g δ δ δ * ; M ; U U δ δ δ U U U U U C ; VA F C ; VA FL L (U ) δ U * U R R n R R ± n R R R n / Page o 7
ME 9 Fomla Shee aa g/m Wae µ. g/(m s). g/m Ai (SP) µ.79 g/(m s) c.j/(g K) cv.77 J/(g K) Ai R.87 J/(g K) einiions an Convesions Seciic gavi, SG / (a 4 o C) HO Kinemaic viscosi, ν µ / Pa N/m ; am Pa 4.7 sia. m; g 9.8 m/s. /s lb m.44 g; slg. lb m lb. lb m /s slg /s 7.48 gal; m lie h lb /s 746 W B 778 lb.6 J L m Ele s Eqaions in Seamline Cooinaes V V V g s s s V g R n n Paamee Lamina (Re <,) blen (Re >,) (Esimae) 99% hicness, δ δ. δ.8 Re Re islacemen hicness, δ o δ * δ.7 δ.478 Re Re momenm hicness, δ M o Θ δ M.664 δ M.7 Re Re icion coeicien, C.664.94 C C U Re U Re ag coeicien, C.8.74 C C U LW Re U LW Re L L Page o 7
ME 9 Fomla Shee Page o 7 conini eqaion ecangla cooinaes (,, ) clinical cooinaes (,, ) sess enso comonens o a Neonian li ecangla cooinaes (,, ) clinical cooinaes (,, ) Navie-Soes eqaions o a Neonian li ih consan ensi () an namic viscosi (µ) ecangla cooinaes (,, ): µ µ µ clinical cooinaes (,, ): µ µ µ
ME 9 Fomla Shee h Fomlas ( cos ) sin ( sin ) cos ( an ) sec ( sec ) sec an ( csc ) csc co ( co ) csc ( ln ) e( a) a e ( a) sin sin cos sin 4 4 an an sin sin cos cos cos sin an an ln cos sin α β sinαcos β cosαsin β cos α β cosαcos β sinαsin β anα an β an ( α β) anα anβ sin ( cos ) cos ( cos ) miscellaneos veco oeaions (In he able belo: Ν is a scala an n is a veco.) ecangla cooinaes (,, ) clinical cooinaes (,, ) N ˆ N ˆ N N N N N e ˆ e e ˆ ˆ ˆ N e e e n n n n n n n ( n ) n n n n n eˆ n eˆ n n n n eˆ eˆ n n n e ˆ ( n ) ˆ e N N N N N N N N N N N N N N N N N N Lagangian (aa maeial, sbsanial) Acceleaion ecangla cooinaes (,, ) clinical cooinaes (,, ) Page 4 o 7
Page o 7 ME 9 Fomla Shee
Aveage Roghness, ε, o Commecial Pies ME 9 Fomla Shee eial (ne) mm Rivee seel.-..9-9. Concee.-..-. Woo save.6-..8-.9 Cas ion.8.6 Galvanie ion.. Ashale cas ion.4. Commecial seel o ogh ion..4 an bing.. Plasic, glass. (smooh). (smooh) able o Mino Loss Coeiciens Comonen K L Comonen K L a. Elbos Regla 9 o, lange. Regla 9 o, heae. Long ais 9 o, lange. Long ais 9 o, heae.7 Long ais 4 o, lange. Regla 4 o, heae.4 b. 8 o en bens 8 o en bens, lange. 8 o en bens, heae. c. ees Line lo, lange. Line lo, heae.9 Banch lo, lange. Banch lo, heae.. Union, heae.6 e. Valves Globe, ll oen Angle, ll oen Gae, ll oen. Gae, ¼ close.6 Gae, ½ close. Gae, ¾ close 7 Sing chec, oa lo Sing chec, baca lo Ball valve, ll oen. Ball valve, / close. Ball valve, / close. Enances Re-enan.8 Sha-ege. Slighl one. Well one.4 g. Eis Re-enan, sha-ege, slighl one, ell-one. h. Sen Conacion/Eansion: Page 6 o 7
ieal gas elaions R c h c v Page 7 o 7 ME 9 Fomla Shee c c cv R c R cv R cv v c R s c R cv R v oeies o ai (eae as a eec gas).4 R 87 c c 78 Nm Nm Nm g K g K v g K R. c 87 c aiabaic elaions o a eec gas lb lb lb lbm R lbm R v lbm R V c c c isenoic elaions o a eec gas A * A ( ) coniions acoss a nomal shoc ave ( ) V ( ) V ( ) ( ) ( ) ( ) ( ) ( ) m choe A R * ( ) ( ) * ( ) A A *