PERFORMANCE OF A CENTRAL-TYPE JET PUMP II- EXPERIMENTAL STUDY ON WATER FLOW

Similar documents
Applied Fluid Mechanics

Department of Energy Fundamentals Handbook. THERMODYNAMICS, HEAT TRANSFER, AND FLUID FLOW, Module 3 Fluid Flow

Driving nozzle. Mixing chamber

CHAPTER 5 MASS AND ENERGY ANALYSIS OF CONTROL VOLUMES

Flowmeter Discharge Coefficient Estimation

EXPERIMENT No.1 FLOW MEASUREMENT BY ORIFICEMETER

LECTURE 6- ENERGY LOSSES IN HYDRAULIC SYSTEMS SELF EVALUATION QUESTIONS AND ANSWERS

EXPERIMENTAL STUDY OF BACKWATER RISE DUE TO BRIDGE PIERS AS FLOW OBSTRUCTIONS

IJREAS Volume 2, Issue 2 (February 2012) ISSN:

EFFECT OF BAFFLE BLOCKS ON THE PERFORMANCE OF RADIAL HYDRAULIC JUMP

9. Pumps (compressors & turbines) Partly based on Chapter 10 of the De Nevers textbook.

CHAPTER EIGHT P U M P I N G O F L I Q U I D S

Experiment (4): Flow measurement

CHAPTER THREE FLUID MECHANICS

ENGINEERING FLUID MECHANICS. CHAPTER 1 Properties of Fluids

FE Fluids Review March 23, 2012 Steve Burian (Civil & Environmental Engineering)

Chapter (6) Energy Equation and Its Applications

Chapter 4 DYNAMICS OF FLUID FLOW

Investigation of Flow Profile in Open Channels using CFD

Chapter Four fluid flow mass, energy, Bernoulli and momentum

Laboratory Investigation of Submerged Vane Shapes Effect on River Banks Protection

Laboratory work No 2: Calibration of Orifice Flow Meter

Pumping Stations Design For Infrastructure Master Program Engineering Faculty-IUG

A NONLINEAR OPTIMIZATION MODEL FOR ESTIMATING MANNING S ROUGHNESS COEFFICIENT

BACKWATERRISE DUE TO FLOW CONSTRICTION BY BRIDGE PIERS

Signature: (Note that unsigned exams will be given a score of zero.)

Contents. 2 Basic Components Aerofoils Force Generation Performance Parameters xvii

Experiment- To determine the coefficient of impact for vanes. Experiment To determine the coefficient of discharge of an orifice meter.

TOTAL HEAD, N.P.S.H. AND OTHER CALCULATION EXAMPLES Jacques Chaurette p. eng., June 2003

Introduction to Fluid Machines, and Compressible Flow Prof. S. K. Som Department of Mechanical Engineering Indian Institute of Technology, Kharagpur

04/01/1998 Developments in DP Flowmeters By Jesse Yoder

CLASS Fourth Units (Second part)

Lecture 3 The energy equation

EFFECT OF VERTICAL CURVATURE OF FLOW AT WEIR CREST ON DISCHARGE COEFFICIENT

2 Internal Fluid Flow

Chemical Engineering 3P04 Process Control Tutorial # 1 Learning goals

Chapter Four Hydraulic Machines

CE 6403 APPLIED HYDRAULIC ENGINEERING UNIT - V PUMPS

Experimental and CFD analysis of flow through venturimeter to determine the coefficient of discharge

4 Mechanics of Fluids (I)

EXPERIMENT NO: F5. Losses in Piping Systems

Fluid Mechanics II 3 credit hour. Fluid flow through pipes-minor losses

2.The lines that are tangent to the velocity vectors throughout the flow field are called steady flow lines. True or False A. True B.

ME 316: Thermofluids Laboratory

MAHATMA GANDHI MISSION S JAWAHARLAL NEHRU ENGINEERING COLLEGE, FLUID MECHANICS LABORATORY MANUAL

Chapter 7 The Energy Equation

Optimizing Centrifugal Pump Performance by Different Blade Configuration Patterns

CHAPTER TWO CENTRIFUGAL PUMPS 2.1 Energy Transfer In Turbo Machines

Factors affecting confluence scour

Modeling of Head Loss Components in Water Distribution to a Group of Buildings

Piping Systems and Flow Analysis (Chapter 3)

Chapter Four Hydraulic Machines

Northern Lesson 2 Gear Pump Terminology. Gear Pump 101. Lesson 2: Gear Pump Terminology. When your reputation depends on it!

Theoretical, Experimental and Numerical Investigations of the Effect of Blades Number on the Performance of Regenerative Blowers

Investigations on the Performance of Centrifugal Pumps In Conjunction With Inducers

S. Ahmed, M. Q. Islam and A. S. M. Jonayat. Department of Mechanical Engineering, BUET, Dhaka, Bangladesh

Ejector Pump CFD Model Validation and Performance Improvement Studies

Study of the rate of sediment trapping and water loss in the vortex tube structure at different placement angles

2 Navier-Stokes Equations

P & I Design Limited. 2 Reed Street, Gladstone Industrial Estate, Thornaby, TS17 7AF. Tel: +44 (0) Fax: +44 (0)

DESIGN AND CFD ANALYSIS OF A CENTRIFUGAL PUMP

Laboratory exercise 1: Open channel flow measurement

PUMP SYSTEM ANALYSIS AND SIZING. BY JACQUES CHAURETTE p. eng.

MOMENTUM PRINCIPLE. Review: Last time, we derived the Reynolds Transport Theorem: Chapter 6. where B is any extensive property (proportional to mass),

1) Specific Gravity It is the ratio of specific weight of fluid to the specific weight of water.

EXPERIMENT NO. 4 CALIBRATION OF AN ORIFICE PLATE FLOWMETER MECHANICAL ENGINEERING DEPARTMENT KING SAUD UNIVERSITY RIYADH

Lecture Note for Open Channel Hydraulics

S.E. (Mech.) (First Sem.) EXAMINATION, (Common to Mech/Sandwich) FLUID MECHANICS (2008 PATTERN) Time : Three Hours Maximum Marks : 100

NORTH SEA FLOW MEASUREMENT WORKSHOP 2004 In. St Andrews, Scotland

ESSEX COUNTY COLLEGE Engineering Technologies and Computer Sciences Division MET 215 Fluid Mechanics Course Outline

Mechanical Measurements and Metrology Prof. S. P. Venkateshan Department of Mechanical Engineering Indian Institute of Technology, Madras

LEAKLESS COOLING SYSTEM V.2 PRESSURE DROP CALCULATIONS AND ASSUMPTIONS

presented by Umut Türker Open Channel Flow

Fluid Flow Analysis Penn State Chemical Engineering

THE HYDRAULIC PERFORMANCE OF ORIENTED SPUR DIKE IMPLEMENTATION IN OPEN CHANNEL

Analysis of Frictional Pressure Drop based on Flow Regimes of Oil-water Flow in Pipeline

Lesson 6 Review of fundamentals: Fluid flow

LOSSES DUE TO PIPE FITTINGS

SCHOOL OF CHEMICAL ENGINEERING FACULTY OF ENGINEERING AND TECHNOLOGY SRM UNIVERSITY COURSE PLAN

BME-A PREVIOUS YEAR QUESTIONS

1 st Law Analysis of Control Volume (open system) Chapter 6

Experimental Investigations on the Local Distribution of wall static pressure coefficient Due To an Impinging Slot Air Jet on a Confined Rough Surface

THE PRESSURE-TIME MEASUREMENTS PROJECT AT LTU AND NTNU

Design of Monoblock Centrifugal Pump Impeller

An Expression for Obtaining Total Heads for Lift Pump Selection

COURSE NUMBER: ME 321 Fluid Mechanics I 3 credit hour. Basic Equations in fluid Dynamics

Experiment (3): Impact of jet

THE FIRST LAW APPLIED TO STEADY FLOW PROCESSES

Head Discharge Relationship of Thin Plated Rectangular Lab Fabricated Sharp Crested Weirs

Numerical Study of the Semi-Open Centrifugal Pump Impeller Side Clearance A. Farid Ayad *, H. M. Abdalla,A. S. Abo El-Azm Egyptian Armed Forces, Egypt

VENTURIMETER EXPERIMENT

Mathematical Modelling for Refrigerant Flow in Diabatic Capillary Tube

Effect of Geometric Configuration on Performance of Uniflow Cyclone

ME332 FLUID MECHANICS LABORATORY (PART I)

In the next lecture...

ME332 FLUID MECHANICS LABORATORY (PART II)

Hydraulic (Piezometric) Grade Lines (HGL) and

FE Exam Fluids Review October 23, Important Concepts

Pipe Flow. Lecture 17

Design Methodology for Hydraulic Ram Pump

Transcription:

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt PERFORMANCE OF A CENTRAL-TYPE JET PUMP II- EXPERIMENTAL STUDY ON WATER FLOW ABSTRACT EL-Otla, F. M. *, EL-Sawaf, I. A. * and EL-Ghandour, M. ** * Professor, ** Assistant Lecturer, Mechanical Power Eng. Dept., Faculty of Engineering, Suez Canal University, Port-Said, Egypt This paper deals with the effect of changing some design parameters on the performance of central-type jet pump when handling water. The parameters tested such as the area ratio between driving nozzle and mixing chamber, the distance between the driving nozzle exit and the beginning of the mixing chamber, the suction inlet shape, the suction nozzle semi cone angle and the mixing chamber length. A test rig has been designed to test the jet pump various parts using different dimensions and shapes, in order to reach the best combinations set of jet pump parts, which give the best performance. A FORTRAN computer program had been designed based on previously derived formula and theoretical loss factors for all parts of the jet pump, except that the loss factors for s which are evaluated experimentally. The experimental results are compared with the computer program and the previous research results and the comparison indicates a good agreement between them. KEYWORDS: Water, Central-Type, Jet Pump 1- INTRODUCTION The jet pump is a pump without moving parts, since it can increase the pressure or the velocity or both of a fluid. Its pumping action depends on fluid energy exchange, where a high-pressure fluid called driving or primary flow coming from a centrifugal pump or other sources are changing its pressure energy into kinetic energy via the driving nozzle. When the fluid expands out of the driving nozzle, it creates a low-pressure area around the driving nozzle exit. This fall in pressure inducing the suction flow (secondary flow), then the two streams mixes in the mixing chamber where a process of momentum transfer between the two streams occurs which accelerates the secondary flow and decelerates the primary flow composing the combined flow. A diffuser follows the mixing chamber to convert the kinetic energy of the mixture into pressure energy [1, 2 & 3]. Although the jet pump has a limited efficiency range but it is used in situations where the efficiency was of second importance. Also the jet pump has many advantages over other types of pumps, it has simple construction and can be

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt constructed from wide range of materials, it needs minimum man labor and is suitable for adverse environments, hence it has been used in many applications [1, 2, 3 & 4]. Gosline and O Brien [] reported that the jet pump has been known for the first time when James Thomson in 182 used it to remove water from the pits of submerged water wheels. The theory of the pumping process was developed by Ranking in 187 based on continuity and momentum equations. Furthermore they [] developed a theoretical dimensionless efficiency equation. Also, they performed experimental work in order to check the validity of the derived equation. Mueller [6] determined experimentally the optimum dimensions of the water jet pump so that the best efficiency may be obtained. Also, he derived an analytical efficiency equation to define the pump behavior. The calculated results agree with experimental results. The effect of cavitation on the pump characteristic was also treated in his work. Shedid et al [7] developed a method capable of calculating the pump intake pressure and bottom hole flowing pressure using the hydraulic jet pump performance data. Djebedjian et al [8] employed jet pump in order to power a vapor compression system for the production of desalinated water. They predicted that optimum efficiency of approximately 1 % at diffuser area ratio of about 2 can be obtained. Based on their results it is evident that suction pressure at diffuser exit would improve efficiency. The present paper is directed to evaluate the results obtained from a study of central-type jet pump performance. The study is divided into two main parts. The first part was to drive a formula that could predict the jet pump performance, under various conditions using basic fluid mechanics equations (continuity, momentum and energy equations) [9 & 1]. The other part of the study was to perform a set of experiments, for two purposes. The first purpose was to check the validity of the derived equation which predicts jet pump performance. The other purpose was to examine some of alternatives of jet pump parts, in order to reach the best combinations set of jet pump parts, which give the best performance, when handling water and slurry [9]. A FORTRAN computer program had been designed based on the derived formula and theoretical loss factors for all parts of the jet pump except that for suction inlets which are evaluated experimentally. The experimental results are compared with the computer program and the previous research results [9]. The present paper summarizes the results of experiments on water jet pump to estimate the combination parts which give the maximum efficiency among a set of combinations. Also, to compare the experimental results with the computer program results as well as the results of other researchers. 2- EXPERIMENTAL TEST RIG A schematic diagram of the experimental test rig is shown in Figs. (1 & 2). The test rig is consists of; flowing flume; centrifugal pumps; jet pump; rotameter; elbow flow meter; pressure transducer; digital indicator and piping system.

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt 1-Flowing flume 2-Centrifugal pump 3-Driving line 4-Control valve -Bypass line 6-Rotameter 7-Jet pump 8-Delivery line 9-Discharge valve 1-Elbow flowmeter 11-Sample vessel 12-Pressure transducer 13-Digital indicator 14-Circulating pump 1-Water supply 16-Drain 17-Sand Not to scale Fig. (1) Schematic diagram of the experimental test rig Fig. (2) Photo of the experimental test rig The centrifugal pump (2) draws water form the flume (1), discharging the water into the driving line where it is first passes through control valve (4), then it is divided into two branches. One of these branches passes through the bypass line (). The other branch passes through the rotameter (6), then through the pressure sensor (12) and finally to the jet pump (7). In the jet pump the driving flow combines with the secondary flow, to make the delivery flow, which is discharged to the discharge line, where it passes to the pressure sensor, then passes through the elbow flow meter (1), and finally, it discharged to the flume again. In the case of slurry measurements, elbow flow meter is replaced by the sample vessel (11). The flowing flume (1) has the following dimensions: length, width and depth of working section were 1 m,.3 m

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt and. m respectively. Flume maximum positive bed slope is fixed on 1 to 4. The water in the flume is circulated by means of circulating centrifugal pump (14), but it was not used during experiments. There were four centrifugal pumps (2), arranged in two sets, each set consists of two centrifugal pumps connected in series, the two sets are connected in parallel. Each of the centrifugal pumps has 1.14 kw electric motors, delivering 9.6 m 3 /hr at 33. meter head of water. The flow rotameter (6) has a span of reading from one to 1 m 3 /hr.the elbow flow meter (1) is composed of standard 9 o elbow connected with inverted U-tube manometer. The pressure transducer (12) shown to the right hand side in Fig. (2), has a span of readings from -1 to 3 bar and the output signal from 4 to 2 ma. The digital indicator (13) also, shown in Fig. (2) is used to convert the output signal of the pressure transducer into digital reading. The indicator has four-digits monitor. The piping system consists of two parts: the driving line (3) which consists of one-inch nominal size galvanized pipe and the delivery line (8), which consists of two-inch nominal size galvanized pipe. DIM IN mm (Not to scale) 1 2 3 4 6 Driving flow Discharge flow Suction flow 648 1-Driving inlet 2-Suction inlet 3-Driving nozzle 4-Suction nozzle -Mixing chamber 6-Diffuser Fig. (3) Sectional elevation of the jet pump The jet pump combination parts illustrated in Fig. (4) are as follows: three different driving nozzles with 1, 13 and 16 mm exit nozzle as shown in Fig. (4-a) with 28 mm mixing chamber diameter which give area ratios of.1276,.216 and.326; three nozzle distance ratios of 1., 1. and 2.; two suction chamber shapes, the first, bend suction chamber and the other, straight suction chamber as shown in Fig. (4-b); two suction nozzles, the first, with semi cone angle of 1 o and the other, with semi cone angle of 2 o as shown in Fig. (4-c) and two mixing chamber length ratios of 7.86 and 6.7 as shown in Fig. (4-d).

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt Bend Straight (b) Suction inlet shapes (a) Driving nozzles (c) Suction nozzles Not to scale Dim in mm (d) Mixing chambers Fig. (4) Jet pump different parts The test rig has been designed specially to test the performance of jet pump using various parts, in order to reach the best combination parts of jet pump, which give the best performance. This paper deals with the performance of central-type jet pump when handling water only due to the limited paper space. In future the performance of the same jet pump when handling solids will be published. 4- RESULTS AND DISCUSSION 4-1 Effect of Changing Nozzle Distance (X) In order to investigate the effect of changing the position of the driving nozzle with respect to the mixing chamber entrance on the efficiency and the head ratio; three nozzle positions i.e. three nozzle distance ratios (X) of 1., 1. and 2. are tested and their results are shown in Fig. (), consequently these results covered three area ratios ranging from.1276 to.326. The experimental results plotted in this figure represent water jet pump having the following specifications: straight ; mixing chamber length ratio of 7.86 and 2 o semi cone angle suction nozzle. The results are grouped into two sets. The first set (i) presents the efficiency (η) versus mass flow ratio (M). The second set (ii) presents the head ratio (N) versus mass flow ratio (M).

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt η ( % ) 1 1 (a) R =.1276, α = 2 o, L = 7.86, Straight X=2 X=1. X=1 l = 2 d 1 2 2 2 1 1 d 3 2 2 1 1 (b) R =.216, α = 2 o, L = 7.86, Straight X=2 X=1. X=1 1 2 (c) R =.326, α = 2 o, L = 7.86, Straight 1 M (i) Efficiency l = d l = 1. d X=2 X=1. X=1 Trend (X=1) Trend (X=1.) Trend (X=2) N N N N.2.1.1...3.3.2.2.1.1....4.3.2.1 (a) R =.1276, α = 2 o, L = 7.86, Straight 1 2 X=2 X=1. X=1 (b) R =.216, α = 2 o, L = 7.86, Straight 1 2 X=2 X=1. X=1 (c) R =.326, α = 2 o, L = 7.86, Straight 1 M (ii) Head ratio X=2 X=1. X=1 Fig. () Water jet pump performance curves for different nozzle distance ratios by using straight

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt It is clear from the first set of curves (i) that, the nozzle distance ratio which gives the highest efficiency values are varied with the area ratio. Such as for area ratios of.1276 and.216, the nozzle distance ratios which give the highest efficiencies are dependent on jet pump combination parts. For the given conditions on Fig. (), the highest efficiency values are occurred at nozzle distance ratios of 1. and 1. respectively as shown from Fig. ( a & b). But for area ratio of.326, the nozzle distance ratio of 1. gives the highest efficiency point in comparison with the other tested cases as shown from Fig. ( c). Also, the highest efficiency was occurred at area ratio.326 as shown in Fig. ( c) in comparison with other area ratios, shown in Fig. ( a & b). The relation between the head ratio and the mass flow ratio are depicted on the second set of curves (ii) shown in Fig. (). It is clear from the figure that, as the mass flow ratio increases the head ratio is decreased, this agrees with the trend of similar curves of other researchers results [2 & 4]. 4-2 Effect of Changing Area Ratio (R) Figure (6) shows the experimental results of the effect of changing the area ratio on the performance of water jet pump having the following specifications: bend ; mixing chamber length ratio of 7.86 and 1 o semi cone angle suction nozzle. It is clear from the figure that increasing the area ratio the efficiency and the head ratio are increased too. The efficiency increases also with the increase of the mass flow ratio until the efficiency reaches it beak value then it decreases with the increase of mass flow ratio as shown from the first set of curves (i). While the highest values of efficiency and head ratio are for area ratio of.326 at X = 1. as shown in Fig. (6 a).

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt (a) X =1, α =1 ο, L=7.86, Bend. 3 3 2 2 1 R=.1276 1 R=.216 R=.326 1 2 3 3 3 2 2 1 1 (b) X =1., α =1 ο, L=7.86, Bend suction inlet. 1 2 3 R=.1276 R=.216 R=.326 (c) X=2, α =1 ο, L=7.86, Bend. 3 3 2 2 1 R=.1276 1 R=.216 R=.326. 1 1. 2 2. M (i) Efficiency N N N N (a) X =1, α =1 ο, L=7.86, Bend..6 R=.1276..4 R=.216.3 R=.326.2.1 1 2 (b) X =1., α =1 ο, L=7.86, Bend..7.6 R=.1276. R=.216.4 R=.326.3.2.1.7.6..4.3.2.1 1 2 3 α =1 ο, L=7.86, Bend. R=.1276 R=.216 R=.326 Trend (R=.1276) Trend (R=.216) Trend (R=.326). 1 1. 2 2. M (ii) Head ratio Fig. (6) Water jet pump performance curves for different area ratios by using bend R.3.3.2.2.1.1... 1 1. 2 2. M Fig. (7) Area ratio (R) versus mass flow ratio (M) for highest efficiency points of water jet pump

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt 4-3 Effect of Changing Suction Inlet Shape Figure (8) shows the performance curves of water jet pump with different shapes for area ratio.326, nozzle distance ratio of 2. and mixing chamber length ratio of 7.86 and 6.7 using suction nozzle with semi cone angles of 1 o and 2 o. This figure indicates the results of experimental work which proves that for mixing chamber length ratio of 7.86; the bend had better values of efficiency and head ratio than that of straight, especially with a suction nozzle of 1 o semi cone angle as shown in Fig. (8 a & b). But with 2 o semi cone angle suction nozzle the difference was relatively small between both shapes. For the mixing chamber length ratio of 6.7; the straight shows small higher values than that for the bend as shown in Fig. (8 c & d). Generally the difference between the points of the two s is small when the suction nozzle semi cone angle was 2 o as shown in Fig. (8 b & d). 4-4 Effect of Changing Suction Nozzle Semi Cone Angle Figure (9) shows the results of the effect of changing suction nozzle semi cone angle for the water jet pump of the following configuration: area ratio of.1276, nozzle distance ratio of 1. and mixing chamber length ratio 7.86 and 6.7 using both straight and bend. It is clear from the first set (i) of this figure that the suction nozzle with a semi cone angle of 1 o had better efficiency than that of suction nozzle with a semi cone angle of 2 o. The figure also, declares that the difference between the jet pump efficiencies and head ratios of the two suction nozzles was small using straight than that using bend as shown from Fig. (9 a & b) and Fig. (9 c & d). In addition the difference between the jet pump efficiencies of the two suction nozzles was smaller using 6.7 mixing chamber length ratio than that using 7.86 mixing chamber length ratio as shown from Fig. (9 a & c) and Fig. (9 b & d), respectively. This better efficiency of suction nozzle with a semi cone angle of 1 o compared with the efficiency of suction nozzle with a semi cone angle of 2 o may be because the head loss through the suction nozzle with a semi cone angle of 1 o is less than the head loss through the suction nozzle with a semi cone angle of 2 o.

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt 3 3 2 2 1 1 (a) X =2, R =.326, α = 1 o, L = 7.86 Bend Straight. 1 1. (a) X =2, R =.326, α = 1 o, L = 7.86.6. Bend.4 Straight.3.2.1. 1 1. 3 2 2 1 1 (b) X =2, R =.326, α = 2 o, L = 7.86 Bend Straight. 1 1. (b) X =2, R =.326, α = 2 o, L = 7.86. Bend.4 Straight.3.2.1. 1 1. 2 2 1 1 (c) X =2, R =.326, α = 1 o, L = 6.7 Bend Straight. 1 1. (c) X =2, R =.326, α = 1 o, L = 6.7.6. Bend.4 Straight.3.2.1. 1 1. 2 2 1 1 (d) X =2, R =.326, α = 2 o, L = 6.7 Bend Straight. 1 1. M (i) Efficiency.6..4.3.2.1 (d) X =2, R =.326, α = 2 o, L = 6.7. 1 1. M Bend Straight Trend (Bend) Trend (Straight) (ii) Head ratio Fig. (8) Water jet pump performance curves for different shapes by using nozzle distance ratio (X) = 2

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt 2 2 1 1 (a) X =1, R =.1276, L = 7.86, Bend α = 1 α = 2 1 2 3 N (a) X =1, R =.1276, L = 7.86, Bend.2 α = 1.1 α = 2.1.. 1 2 3 (b) X =1, R =.1276, L = 7.86, Straight 2 2 1 1 α = 1 α = 2. 1 1. 2 2. M M N (b) X =1, R =.1276, L = 7.86, Straight.2.1.1... 1 1. 2 2. α = 1 α = 2 16 14 12 1 8 6 4 2 (c) X =1, R =.1276, L = 6.7, Bend α = 1 α = 2. 1 1. 2 2. N (c) X =1, R =.1276, L = 6.7, Bend.2 α = 1.1 α = 2.1... 1 1. 2 2. (d) X =1, R =.1276, L = 6.7, Straight suction 16 inlet 14 12 1 8 α = 1 6 α = 2 4 Trend (α = 1 ) 2 Trend (α = 2 ). 1 1. 2 2. M (i) Efficiency (d) X =1, R =.1276, L = 6.7, Straight.2 α = 1.1 α = 2.1... 1 1. 2 2. (ii) Head ratio Fig. (9) Water jet pump performance curves for different suction nozzle semi cone angles

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt 4- Effect of Changing Mixing Chamber Length Figure (1) shows the results of the effect of changing mixing chamber length on the performance of water jet pump for the following configuration: area ratio of.326, nozzle distance ratio of 2. and suction nozzle semi cone angles 1 o and 2 o for both bend and straight. It is clear from this figure that the mixing chamber length of 7.86d m had proven superiority over 6.7d m mixing chamber length for all experimental runs. The difference of water jet pump efficiency and head ratio using the two mixing chamber lengths was smaller using straight rather than that using bend as shown in Fig. (1 a & b) and Fig. (1 c & d), respectively. The figure also, declares that the difference in jet pump efficiency values using the two mixing chamber lengths was smaller using 2 o semi cone angle suction nozzle rather than that with 1 o semi cone angle suction nozzle as shown from Fig. (1 a & c) and Fig. (1 b & d), respectively. The superiority in the performance of 7.86d m mixing chamber length over 6.7d m may attribute to that, the 7.86d m mixing chamber length provide a suitable environment to the mixing process to be completed. This means that, the suction fluid extracts more power from the driving fluid. - THEORETICAL PREDICTION OF JET PUMP PERFORMANCE The results of the computer program are compared with the experimental results. This program based on equations (1 & 2) [9 & 1]. All loss factors were calculated theoretically, except s loss factors were evaluated experimentally, because of the complicated geometry of different s. The efficiency of water jet pump is given by the following equations [9 & 1]: N = ( 2RT 3 / S s ) (S d / S s )(K 6 + K ( R (1+M) / S d ) 2 ) (K 3 +K 4 +( MR /(S s (1 R))) 2 ) 1+ K 1 + K 2 S d K S s (K 3 + K 4 + (MR / (S s (1 R))) 2 ) (1) η = M.N (2) Figure (11) shows the performance curves of water jet pump for both experimental and calculated results for the configurations mentioned on the figure. It shows how the calculated results are close to experimental results. It is clear from Fig. (11) that there is a good agreement between the calculated results and the experimental results, which means that the equation described the jet pump performance fairly good.

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt (a) X =2, R =.326, α = 1 o, Bend suction inlet 3 3 L = 7.86 2 2 1 1 3 3 2 2 1 1 L = 6.7. 1 1. (b) X =2, R =.326, α = 1 o, Straight L = 7.86 L = 6.7. 1 1. 3 3 2 2 1 1 3 3 2 2 1 1 (c) X =2, R =.326, α = 2 o, Bend suction inlet L = 7.86 L = 6.7. 1 1. (d) X =2, R =.326, α = 2 o, Straight suction inlet L = 7.86 L = 6.7. 1 1. M (i) Efficiency N N (a) X =2, R =.326, α = 1 o, Bend suction inlet.6..4.3.2.1.6..4.3.2.1. 1 1. L = 7.86 L = 6.7 (b) X =2, R =.326, α = 1 o, Straight. 1 1. L = 7.86 L = 6.7 (c) X =2, R =.326, α = 2 o, Bend suction.7 inlet.6 L = 7.86. L = 6.7.4.3.2.1.. 1 1..6..4.3.2.1 X =2, R =.326, α = 2 o, Straight suction inlet L = 7.86 L = 6.7 Trend (L = 7.86) Trend (L = 6.7). 1 1. M (ii) Head ratio Fig. (1) Water jet pump performance curves for different mixing chamber lengths

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt X = 1, R=.216, α =1 o, L=7.86, Bend 3 3 2 2 1 Experiment 1 Predicted. 1 1. 2 2. N N X = 1, R=.216, α =1 o, L=7.86, Bend.4.3.2 Experiment.1 Predicted. 1 1. 2 2. 3 X = 1, R =.326, α =1 o, L= 7.86, Straight. X = 1, R =.326, α =1 o, L= 7.86, Straight 2 2 1 1 Experiment Predicted. 1 1..4.3.2.1. Experiment Predicted. 1 1. 3 2 2 1 X = 1, R =.326, α =2 o, L= 7.86, Straight 1 Experiment Predicted. 1 1. (i) Efficiency..4.3.2 X = 1, R =.326, α =2 o, L= 7.86, Straight Experiment.1 Predicted.. 1 1. M (ii) Head ratio Fig. (11) Water jet pump performance curves for experimental and calculated results 6- COMPARISON BETWEEN PRESENT AND OTHER RESEARCHERS RESULTS Figures (12 & 13) show a comparison between the water jet pump performance obtained from the present experimental results (area ratio of.326 and nozzle distance ratio of 1.) and some of the available previous experimental results [, 11 & 12]. These are Gosline and O'Brien [7] (area ratio of.326 and nozzle distance ratio of

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt 1.), Zandi and Govatos [11] (area ratio of.338 and nozzle distance ratio of 1.) and Shaheen [12] (area ratio of.34 and nozzle distance ratio of 1.). The comparison purpose is just to give an indication to the results trend. It is clear from Fig. (12) that the present work curve has mild slope than the other curves. This means that the maximum efficiency point occurred at higher values of mass flow ratio as illustrated in Fig. (12). Also, means that the jet pump is capable to work at wide span of mass flow ratios. Fig. (13) illustrates that, for law value of mass flow ratio (M <.9) the present work has lower efficiency values compared with the others. But the present work has higher efficiency values compared with the others at higher mass flow ratios (M >.9). It may be attributed to that the present jet pump was embedded which means that it was working under positive suction head. On the other hand, it may be attributed to the large scale model used in the present work rather than small models used by the others. Shaheen s work [12] have higher efficiency values at low mass flow ratio compared by the others, it may be because the special arrangement of his jet pump, as the suction fluid enters the jet pump under gravity force. N 1.9.8.7.6..4.3.2.1 Shaheen, R =.34, X =1. [12] Zandi and Govatos, R =.338, X = 1. [11] Gosline & O'Brien, R =.326, X = 1. [7] Present work, R =.326, X = 1..2.4.6.8 1 1.2 M Fig. (12) Head ratio (N) versus mass flow ratio (M) curve; Comparison between present and other researchers results 4 3 3 η % 2 2 1 1 Shaheen, R =.34, X =1. [12] Zandi and Govatos, R =.338, X = 1. [11] Gosline & O'Brien, R =.326, X = 1. [7] Present work, R =.326, X = 1..2.4.6.8 1 1.2 M Fig. (13) Efficiency (η) versus mass flow ratio (M) curve; Comparison between present and other researchers results

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt 7- CONCLUSIONS 1. The nozzle distance ratios of 1., 1. and 1. gives the highest efficiency values for jet pump of the following area ratios of.326,.216 and.1276 respectively. However, the variation of the nozzle distance ratio from 1. to 2. has a small influence on jet pump efficiency. 2. The area ratio of.326 gives the best efficiency while the area ratio of.1276 gives the worst efficiency. The highest efficiency of 33.38% was achieved at area ratio of.326, 31.19% at area ratio of.216 and 22.49% at area ratio of.1276, respectively. 3. The suction nozzle with a semi cone angle of 1 o had better efficiency than that of suction nozzle with a semi cone angle of 2 o, for all area ratios tested. 4. The mixing chamber length of 7.86d m had proven superiority over 6.7 d m mixing chamber length for all experiments done.. The highest efficiency achieved was corresponding to the following jet pump combination parts: bend ; mixing chamber with length ratio of 7.8, suction nozzle semi cone angle of 1 o and nozzle distance ratio of 1. for all area ratios tested, except that of.1276 area ratio which gives highest efficiency for a nozzle distance ratio of 1.. REFERENCES 1. Wakefield, W., An Introduction to the Jet Pump, th Edition, Publication of Genflo Jet Pump America, Inc., 22. 2. Mikhail, S., Morcos, S. M., and Shaheen, Y. A., Experimental Investigations of a Slurry Jet Pump, 3 rd International Symposium on Liquid-Solid Flows, ASME, November 1988, pp. 23-21. 3. Karassik, I. J., Pump Handbook, McGraw-Hill, New York, 1986, [Sec. 4, Jet Pumps, Jumpeter, A. M.]. 4. Brown, N. P. and Heywood, N. I., Slurry Handling Design of Solid Liquid Systems, Elsevier Applied Science, 1994, [Chapter 18, Jet Pumps, Wakefield, A. W.].. Gosline, J. E. and O'Brien, M. P., The Water Jet Pumps, Univ. of California Publications in Engineering, 1934, Vol. 3, Part 3, pp. 167-19. 6. Mueller, N. H. G., Water Jet Pump, J. of the Hydraulic Division, Proceedings of ASCE, HY 3, 1964, pp. 83-113. 7. Shedid, A. Sh. and Farag O., Accurate Determination of Pump Intake Pressure and Bottom Hole Flowing Pressure Using Hydraulic Jet Pump Performance Data, Journal of Petroleum and Mining Engineering (JPME), Vol. 1(1), June 1998, pp. 33-4. 8. Djebedjian, B., Abdalla, S. and Abou Rayan, M., Parametric Investigation of Boost Jet Pump Performance, Proceedings of FEDSM 2, 2 ASME Fluids Engineering Summer Conference, June 11-1, 2, Boston, USA. 9. EL-Ghandour, M., Solid Materials-Bypassing by Embedded Jet Pump Hydraulic Hybrid System, M. Sc. Thesis, Mechanical Power Engineering Dept., 23, Suez Canal University, Port Said, Egypt.

Eighth International Water Technology Conference, IWTC8 24, Alexandria, Egypt 1. EL-Ghandour, M., EL-Sawaf, I. A. and EL-Otla, F. M., Solid-Materials- Handling Central-Type Jet Pump, 6 th International Water Conference, IWTC 21, Alexandria, Egypt, pp. 328-34. 11. Zandi, I. and Govatos, G., Jet Pump in Slurry Transport, HYDROTRASPORT 1, 1 st International Conference on the Hydraulic Transport of Solids in Pipes, 1 st 4 th September, 197, pp. L2-17-L2-32. 12. Shaheen, Y. A., 1988, An Experimental Study of the Slurry Jet Pump, M.Sc. Thesis, Mechanical Power Engineering Dept., Cairo University, Cairo, Egypt. NOMENCLATURE d d m H 1 H d H s K 1 K 2 K 3 K 4 K K 6 l L L m M m n m s N R S d S s T 3 X α η Driving nozzle diameter Mixing chamber diameter Driving head Delivery head Suction head Loss factor in driving inlet Loss factor in driving nozzle Loss factor in suction nozzle Loss factor in Loss factor in diffuser Loss factor in mixing chamber Nozzle to mixing chamber spacing Mixing chamber length ratio = L m / d m Mixing chamber length Mass flow ratio = m s / m n Driving mass flow rate Suction mass flow rate Head ratio = H d - H s / H 1 - H d Area ratio = d 2 2 / d m Delivered specific density Suction specific density constant Nozzle distance ratio = l/d Suction nozzle semi cone angle Efficiency = M.N (m) (m) (m) (m) (m) (m) (m) (m 3 /s) (m 3 /s) ( ) (%)