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1 ump Sizing & Rating USER MANUAL & I Design Limited Reed Street, Gladstone Industrial Estate, Thornaby, TS7 7AF. Tel: +44 (0) Fax: +44 (0) Support: sales@pidesign.co.uk
2 Contents.0 Introduction.0 Data Entry Rules 3.0 Model Calculations Appendix I UM Report Format References. Coulson & Richardson, Chemical Engineering, Volume, 4 th Edition, ergamon ress, Crane Co, Flow Handbook 40M(Metric Edition), 988. age of 7
3 .0 Introduction UM is designed to provide a simplified structured methodology for sizing centrifugal pumps installed in conventional piping systems handling non-compressible fluids. The design volumetric flow, suction and discharge pipe material specifications and pipe diameters are selected by the designer based on the process conditions, fluids to be handled and economic velocities. ipe material is specified and absolute roughness is selected. The friction factor is determined by refering to the ipe Friction Chart, Figure 3.7 in Coulson and Richardson, Volume (). The look up value is entered manually. The equivalent length of fittings and valves are entered allowing the suction and discharge pipe pressure drops to be determined. The pump head required is calculated to which a design safety factor may be applied..0 Data Entry Rules Refer Appendix I for UM Report Format Data input cells are blue. Cells with comments are highlighted by the red triangle. age 3 of 7
4 4.0 Model Calculations The following basic calculations are used in UM: The cross sectional area, A(m ), of circular pipe with an internal diameter, d(m), is given by: A d 4 For a specified volumetric flowrate, Q(m 3 /s), the fluid velocity, u(m/s) in a pipe is given by: Q u A The dimensionless Reynolds Number, Re, predicts the flow regime conditions for a flowing fluid of density,(kg/m 3 ), and viscosity, (kg/m.s), is defined by: d u Re For a pipe with absolute roughness, (mm), the relative roughness, r is defined by: r d mm The dimensionless friction factor,, is defined by Re u There are two dimensionless friction factors considered, namely, the Moody, f, and the Fanning, f, which are related as follows: f f 8 The friction loss per metre, f(n/m.m), is calculated from: u f 4 d The friction loss, f(n/m ), in the suction pipe, L(m), including valves and fittings with a total equivalent length of LE is given by: u f 4 L L d E age 4 of 7
5 4.0 Model Calculations (Cont.) The entry loss at the pump, fp(n/m ), is taken into consideration and is given by: 0.5 d f u f The suction pressure, s(n/m ), at a pump inlet with an inlet equipment pressure, 0(N/m ), and static head, z(m), is determined from: S 0 g z The suction pipe head loss, hf(m), due to friction is defined as follows: f f f hf g The net positive suction head(absolute), NSHa(m), available at the pump suction has to be adjusted for fluid vapour pressure and is derived from the following relationship: NSH a 0 g v f z h where g = gravitational acceleration (m/s ) hf = suction pipe friction head loss (m) z = height of liquid above pump inlet (m) 0 = pressure above liquid at pump suction (N/m ) v = vapour pressure of liquid at pump suction conditions (N/m ) f Notes: Fluid viscosity,, units are Ns/m = kg/m.s =.0 E03 c N/m = a =.0 E-05 bar mm wc = 9.8 ka Crane 40M uses Moody friction factor f which equals 8 Subscripts suction discharge age 5 of 7
6 4.0 Model Calculations (Cont.) Values of Absolute Roughness (, Table 3., p56) ipe Material Absolute Roughness (mm) VDF, olypropylene, HDE (smooth pipe) TFE / FE / Glass lined Steel (smooth pipe) Drawn tubing Commercial steel and wrought-iron Galvanised iron 0.5 Cast-iron 0.6 Concrete Riveted steel (, Table 3., p73 and, A-6) Friction Loss in ipe Fittings Type of Fitting ipe Diameters L/d Velocity Heads K=u /g=f (L/d) 45 o elbow o elbow ( standard radius ) o square elbow 60. Flow through run Flow through branch 60. Flow into branch 90.8 Globe valve (fully open) Ball valve (full bore) Butterfly valve - 50mm to 00mm Butterfly valve - 50mm to 350mm Butterfly valve - 400mm to 600mm Gate valve fully open Gate valve ¾ open 40.0 Gate valve ½ open Gate valve ¼ open Swing check valve For all other fittings refer to Crane 40M or manufacturers data. age 6 of 7
7 Appendix I Report Format age 7 of 7
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