• Tiada Hasil Ditemukan

AN IMPROVED DESIGN OF PIEZOELECTRIC RAINDROP ENERGY HARVESTER

N/A
N/A
Protected

Academic year: 2022

Share "AN IMPROVED DESIGN OF PIEZOELECTRIC RAINDROP ENERGY HARVESTER "

Copied!
24
0
0

Tekspenuh

(1)

1

AN IMPROVED DESIGN OF PIEZOELECTRIC RAINDROP ENERGY HARVESTER

WONG CHIN HONG

UNIVERSITI SAINS MALAYSIA

2017

(2)

2

AN IMPROVED DESIGN OF PIEZOELECTRIC RAINDROP ENERGY HARVESTER

By

WONG CHIN HONG

Thesis submitted in fulfilment of the requirements for the degree of

Doctor of Philosophy

JANUARY 2017

(3)

ii

ACKNOWLEDGEMENTS

First, I would like to extend my greatest appreciation to my main supervisor, Dr. Zuraini Dahari of her professional guidance, encouragement, and constructive comments enlightened me in my research. I am also very thankful to my co- supervisor Prof. Dr. Othman Sidek of his advice and motivation. Without their support and concern, this thesis would not complete successfully. Second, I am grateful to Dr. Asrulnizam Abd. Manaf from School of Electrical and Electronic Engineering and Dr. Khairudin Mohamed from School of Mechanical Engineering of their suggestions regarding the required facilities, materials, and fabrication processes pertaining to this research.

I am also indebted to staffs and technicians from Nano-Optoelectronics Research and Technology Laboratory (NOR Lab), Nanofabrication and Functional Materials (NFM), as well as Dr Mohammad Hafizuddin, Ibtisam and Huwaida from Universiti Kebangsaan Malaysia (UKM), who are assisting me in supplying the relevant literatures and expertise. I would like to express thanks to the staffs from School of Electrical and Electronic Engineering, as a token of appreciation due to their valuable help. I would also like to acknowledge USM,’s Research Grant (1001/PELECT/814243) and MyBrain scholarship which made this research financially possible.

I am grateful to my parents and siblings of their endless love, care, and support during my study. Finally, I would like to extend my gratitude to my friends, Sew Sun, Jing Huey, Wei Hong, Belinda, Tow Leong, Swee Kheng, Wee Chuen, Lee Teng, Wei Zeng, Earn Tzeh, Yeong Chin, Hui Ting, Jing Rui, Boon Tatt, Kia, Liza, Mar Mar, Adrian and Nexus of their motivation and concern throughout my time in USM.

(4)

iii

TABLE OF CONTENTS

Page

ACKNOWLEDGEMENTS ii

TABLE OF CONTENTS iii

LIST OF TABLES viii

LIST OF FIGURES x

LIST OF ABBREVIATIONS xvi

LIST OF SYMBOL xviii

ABSTRAK xxiii

ABSTRACT xxv

CHAPTER ONE - INTRODUCTION 1

1.1 Background 1

1.2 Problem Statement and Motivations 4

1.3 Research Objective 7

1.4 Research Scope and Limitation 7

1.5 Summary of Contribution 9

1.6 Organisation of Thesis 10

CHAPTER TWO - LITERATURE REVIEW 11

2.1 Introduction 11

2.2 Raindrop Characteristics 11

2.2.1 Size of Raindrop 13

2.2.2 Velocity of Raindrop 14

2.2.3 Impact Types of Raindrop 14

2.3 Method to Predict Raindrop Size and Velocity 16 2.4 Review of Piezoelectric Raindrop Energy Harvesting 21

(5)

iv

2.5 Piezoelectric Overview 31

2.5.1 Piezoelectric Concept 31

2.5.2 Piezoelectric Material 36

2.6 Finite Element Modelling 37

2.7 Fabrication Process 41

2.7.1 PVDF Preparation and Forming 42

2.7.2 Electrode Deposition 45

2.7.3 Pattern Generation 45

2.7.4 Piezoelectric Film Poling Treatment 47

2.8 Summary 50

CHAPTER THREE - METHODOLOGY 52

3.1 Introduction 52

3.2 Design Flow and Methodology 52

3.3 Preliminary Experimental Investigation 54

3.3.1 Investigation of Raindrop Size and Fall Velocity 54

3.3.1(a) Photography Method 56

3.3.1(b) Image Processing 57

3.3.2 Investigation of Commercial PVDF Transducers 59 3.3.2(a) Piezoelectric Material Selection 60 3.3.2(b) Performance Comparison of Commercial PVDF

Transducers

61

3.3.2(c) Voltage Signal Processing 66

3.4 Finite Element Simulation of Basic Structure of PREH 67 3.4.1 Pre- and Post-Processing Simulation by Using COMSOL 68 3.4.1(a) Piezoelectric Material Properties Setup 69

3.4.1(b) 3D Layout and Mesh Setting 71

(6)

v

3.4.1(c) Post-Processing 73

3.5 Finite Element Simulation on Various Types of PVDF Structure Transducers

73

3.6 Fabrication of PREH 74

3.6.1 Microfabrication of Piezoelectric Transducer 75

3.6.1(a) PVDF Coating 76

3.6.1(b) Electrode Deposition 78

3.6.1(c) Poling Treatment 78

3.6.1(d) Piezoelectric Film Shaping 81

3.6.2 Mechanical Fabrication of Stand 81

3.7 Characterisation and Validation of Fabricated Piezoelectric Transducer

82

3.8 Experimental Investigation of Fabricated Transducer 83

3.9 Summary 84

CHAPTER FOUR - RESULTS AND DISCUSSIONS 85

4.1 Introduction 85

4.2 Experimental Results for the Size of Raindrop Prediction 85 4.3 Experimental Results of Commercial PVDF Basic Structure

Transducers

88

4.3.1 Experimental Results of Commercial PVDF Cantilever Structure Transducers

88

4.3.2 Experimental Results of Commercial PVDF Bridge Structure Transducers

92

4.3.3 Performance Comparison between Commercial PVDF Cantilever and Bridge Structure Transducers

97

4.3.4 Impedance Analysis on the 30 mm Bridge Structure Transducer

100

(7)

vi

4.4 Performance Analysis of Power Converter 104

4.4.1 Analysis of Open-Circuit Output Voltage from a Power Converter

104

4.4.2 Analysis of Closed-Circuit Output Voltage from a Power Converter

106

4.4.3 Analysis of Output Voltage by Applying Continuous Flow of Droplet

108

4.5 Finite Element Analysis of Piezoelectric Raindrop Energy Harvester

109

4.5.1 Finite Element Analysis of Bridge Structure 109 4.5.2 Finite Element Analysis of Various Shape of PREH 114 4.5.3 Finite Element Based Optimised Results of X-Shaped

Transducer

117

4.5.3(a) Width Optimisation of X-Shaped Transducer 118 4.5.3(b) Number of Spokes Optimisation for X-beam 121 4.5.3(c) Circular Pad Size Optimisation for Six-Spoke Wagon

Wheel Transducer

125

4.5.4 Overall Simulation Results 129

4.6 Fabrication Results of Optimised PREH 131

4.6.1 PVDF Thickness Analysis 132

4.6.2 Piezoelectric Film Poling Results 136

4.6.3 FESEM Analysis 138

4.6.4 XRD Analysis 139

4.6.5 FTIR Analysis 141

4.7 Experimental Results of Fabricated Six-Spoke Wagon Wheel Transducer

144

4.8 Summary 149

(8)

vii

CHAPTER FIVE - CONCLUSIONS AND RECOMMENDATIONS 152

5.1 Conclusion 152

5.2 Recommendations 154

REFERENCES 156

APPENDICES

LIST OF PUBLICATIONS

(9)

viii

LIST OF TABLES

Page

Table 1.1 Average annual precipitation from various countries in 2014 3 Table 2.1 Summary of methods to predict raindrop size and velocity 20 Table 2.2 Comparison of potential raindrop energy harvesters 28 Table 2.3 Properties of different piezoelectric materials 37 Table 2.4 FEM simulation on piezoelectric transducer from various

researchers

41

Table 2.5 Summary of PVDF formation 43

Table 2.6 Advantages and disadvantages of dry and wet etching 47 Table 3.1 PVDF properties from Piezotech S. A. S. (Hésingue,

France).

61

Table 3.2 Experimental parameters of water droplet energy harvesting 62 Table 3.3 Parameters of water droplet generated from a syringe pump. 66 Table 3.4 Electrical and mechanical properties of PVDF 70 Table 4.1 Comparison between theoretical and MATLAB results of

droplet diameter released from 0.5 meter height

87

Table 4.2 Summary of the maximum voltage generated by 40 mm long cantilever transducers

91

Table 4.3 Summary of the maximum voltage generated by bridge transducers

97

Table 4.4 Summary of parameters that exhibit the largest output power for bridge transducer

103

Table 4.5 Summary of voltage and surface charge density for 1.5 and 2.0 mm width of X-shaped transducer

119

Table 4.6 Summary of voltage and surface charge density of four and six-spoke wagon wheel transducer

123

(10)

ix

Table 4.7 Summary of voltage and surface charge density of six-spoke wagon wheel transducer with an integrated 5 mm and 6 mm circular pad

127

Table 4.8 Summary of optimised structure 129

Table 4.9 Performance comparison between bridge and six-spoke wagon wheel structure

130

Table 4.10 Details of rain event 146

Table 4.11 Summary of the performance between commercial bridge structure transducer and fabricate six-spoke wagon structure transducer under actual rain fall.

148

(11)

x

LIST OF FIGURES

Page

Figure 1.1 Annual average precipitation in Penang from 2002 to 2011 4 Figure 2.1 Impact modes versus We and Oh (Guigon et al., 2008b). 15 Figure 2.2 Experimental setup for water droplet characterisation

(Salvador et al., 2009)

17

Figure 2.3 Schematic of the 2D-video disdrometer (Randeu et al., 2013)

17

Figure 2.4 PVDF water droplet energy harvester with bridge transducer (Guigon et al., 2008a)

21

Figure 2.5 Water drop energy harvesting with cantilever transducer (Vatansever et al., 2011)

23

Figure 2.6 PZT multimorph cantilever transducer (Al Ahmad and Jabbour, 2012)

24

Figure 2.7 Droplet energy harvesting experimental setup (Wong et al., 2014)

26

Figure 2.8 l was s orted two tr ang lar acr l cs ca s ng a incline from a side (Morrison and Decker, 2015)

27

Figure 2.9 “Log growth” stage and “ex onent al deca ” stage (Il as and Swingler, 2015)

27

Figure 2.10 Crystal structures of (a) non-piezoelectric and (b) piezoelectric effect (Ramadan et al., 2014)

31

Figure 2.11 The piezoelectric effect (1) before, (2) during, and (3) after poling of PVDF

32

Figure 2.12 Ill strat on o ‘33’ ode and ‘3 ’ ode o o erat on o piezoelectric material (Biswas et al., 2009)

34

Figure 2.13 Deflection of cantilever beam as force applied on the free end

38

(12)

xi

Figure 2.14 Deflection of bridge beam as force applied on the centre 38

Figure 2.15 Piezoelectric film fabrication 42

Figure 2.16 Piezoelectric polymer poling systems (a) corona poling and (b) electrode poling (Ramadan et al., 2014).

48

Figure 3.1 Overall process flow chart 53

Figure 3.2 Water droplet falling from a blunt needle 55 Figure 3.3 Flow chart to predict raindrop size and fall velocity 55 Figure 3.4 Experimental Setup for (a) actual and (b) block diagram

for capturing droplet image

56

Figure 3.5 Flow chart of imaging processing 57

Figure 3.6 Flow chart of comparison between commercial PVDF cantilever and bridge structure transducers

60

Figure 3.7 Experimental setup for (a) actual setup and (b) block diagram for vibration-based piezoelectric raindrop energy harvesting

63

Figure 3.8 Holder for the (a) bridge transducer and (b) cantilever transducer

64

Figure 3.9 (a) Circuit diagram and (b) circuitry of standard AC-DC converter (full-wave bridge rectifier) for water drop energy harvesting application

67

Figure 3.10 Experiment design for simulation phase 68 Figure 3.11 Impact pressure against water droplet diameter 69 Figure 3.12 Schematic diagram of (a) cantilever and (b) bridge

structure

71

Figure 3.13 PVDF sandwiched structure formed by two rectangular blocks

72

Figure 3.14 3D meshed model of cantilever and bridge structures. 72 Figure 3.15 Various beam design (a) S-shaped, (b) zigzag-shaped, (c)

H-shaped, and (d) X-shaped, structures for simulation.

74

(13)

xii

Figure 3.16 Flow chart of piezoelectric transducer fabrication 75

Figure 3.17 Piezoelectric fabrication process 76

Figure 3.18 M x ng the sol t on at C with hot plate and magnetic stirrer.

77

Figure 3.19 (a) The block diagram and (b) setup for corona poling 79

Figure 3.20 Mechanical fabrication process 81

Figure 4.1 Droplet fall along the vertical distance at different position.

86

Figure 4.2 Droplet diameter with respect to different sizes of blunt needle

87

Figure 4.3 Results of water droplets being released from heights of (a) 0.25 m and (b) 0.5 m hitting on the free end of the 4 mm wide and 25 µm thick PVDF cantilever transducer

89

Figure 4.4 Results of water droplets being released from (a) 0.25 m and (b) 0.5 m height hitting on the free end of 4 mm wide and 40 µm thick PVDF cantilever transducer

90

Figure 4.5 Maximum voltage generated from 40 mm long cantilever transducer recorded by an oscilloscope.

92

Figure 4.6 Results of the water droplets released from (a) 0.25 m and (b) 0.5 m and hitting the centre of 4 mm wide 25 µm thick PVDF bridge transducer

93

Figure 4.7 Results of water droplet released from (a) 0.25 m and (b) 0.5 m height falling on the centre of 4 mm wide 40 µm thick PVDF bridge transducer

94

Figure 4.8 Maximum voltage generated from 30 mm long bridge transducer recorded by an oscilloscope

95

Figure 4.9 Vibration frequency and natural frequency of (a) 25µm and (b) 40 µm thick bridge structure transducers with respect to various lengths

96

Figure 4.10 Peak voltage against kinetic energy for (a) cantilever and (b) bridge structure transducers

99

(14)

xiii

Figure 4.11 Output voltage and current against load 101

Figure 4.12 Output power against load 102

Figure 4.13 Output voltage waveform 102

Figure 4.14 Open-circuit AC-DC converter. 104

Figure 4.15 Open-circuit output voltage from multiple drop before (VAC) and after (VDC) rectified.

105

Figure 4.16 Open-circuit output voltage from single drop before (VAC) and after (VDC) rectified.

105

Figure 4.17 Closed-circuit AC-DC converter. 106

Figure 4.18 Closed-circuit output voltage from multiple drop before (VAC) and after (VDC) rectified.

107

Figure 4.19 Closed-circuit output voltage from single drop before (VAC) and after (VDC) rectified.

108

Figure 4.20 Output voltage generated from continuous flow of droplets.

109

Figure 4.21 Calculated results of (a) impact pressure and simulation results of (b) electrical potential, (c) surface charge density, and (d) total displacement against droplet.

110

Figure 4.22 Simulation results for (a) total displacement, (b) electrical potential and (c) surface charge density.

111

Figure 4.23 Experimental and simulation results or output voltage against bridge length

112

Figure 4.24 Simulation results of displacement against bridge length 113 Figure 4.25 Simulation results of electrical potential of (a) zigzag

bridge, (b) H-bridge, (c) S-bridge, and (d) X- beam

115

Figure 4.26 Output voltage and surface charge density of various transducers

116

Figure 4.27 Deflection of various transducers 116

Figure 4.28 Optimisation parameters 118

(15)

xiv

Figure 4.29 Voltage and surface charge density against width of X- shaped transducer

119

Figure 4.30 Deflection against X-beam width 120

Figure 4.31 Fundamental frequency against X-beam width 121 Figure 4.32 X-beam with (a) 4 spokes, (b) 6 spokes, (c) 8 spokes, and

(d) 10 spokes.

122

Figure 4.33 Voltage and surface charge density against number of spokes

123

Figure 4.34 Deflection against number of spokes 124

Figure 4.35 Fundamental frequency against number of spoke 125 Figure 4.36 Six-spoke beam with a circular pad in the middle 126 Figure 4.37 Voltage and surface charge density against centre pad

diameter

126

Figure 4.38 Deflection against centre pad diameter 128 Figure 4.39 Fundamental frequency against centre pad diameter 128 Figure 4.40 Physical dimension of optimised wagon wheel structure. 129

Figure 4.41 Dimension of stand in mm 130

Figure 4.42 Fabricated six-spoke wagon wheel transducer 132 Figure 4.43 ect o dr ed at C for (a) 15 minutes, (b) 20

minutes, and (c) 25 minutes

133

Figure 4.44 PVDF thickness against spin speed from 500 to 1000 rpm 134

Figure 4.45 Crack occurred on the PVDF film 135

Figure 4.46 PDVF thickness against spin speed from 100 to 400 rpm 136 Figure 4.47 Piezoelectric constant against poling voltage 137 Figure 4.48 FESEM micrograph of PVDF surface for (a) un-poled, and

poled at (b) 3.6 kV, (c) 4.8 kV, and (d) 6.0 kV

138

Figure 4.49 XRD pattern for un-pole and poled PVDF. 140

(16)

xv

Figure 4.50 FTIR spectra of (a) un-poled and poled at (b) 3600 V, (c) 4200 V, (d) 4800 V, (e) 5400 V and (f) 6000 V

142

Figure 4.51 β-phase content respect to different poling conditions 143 Figure 4.52 Open-circuit voltage waveform generated from fabricated

six-spoke wagon wheel transducer

144

Figure 4.53 Closed-circuit voltage waveform generated from fabricated six-s oke wagon wheel transd cer across a 33 kΩ res stor

145

Figure 4.54 Closed-circuit output voltage before (VAC) and after (VDC) rectified

146

Figure 4.55 Output voltage recorded for (a) commercial bridge structure and (b) fabricated wagon wheel structure from an actual rain event.

147

(17)

xvi

LIST OF ABBREVIATIONS

AC - Alternative Current

ACE - Acetone

AIN - Aluminium Nitride

CNC - Computer Numerical Control CVD - Chemical Vapour Deposition DBS - Dual Beam Spectropluviometer

DC - Direct Current

DMAc - N,N-Dimethylacetamide DMF - N,N-Dimethylformamide DMSO - Dimethyl Sulfoxide EHD - Electrohydrodynamic FEM - Finite Element Method

FESEM - Field Emission Scanning Electron Microscopy FTIR - Fourier Transform Infrared Spectrometer

ITO - Indium Tin Oxide

LPM - Laser Precipitation Monitor MEK - Methyl Ethyl Ketone NMP - N-Methyl-Pyrrolidene

PMMA/GO - Poly(Methyl Methacrylate)/Graphene Oxide

(18)

xvii

PREH - Piezoelectric Raindrop Energy Harvester PTFE - Polytetrafluoroethylene

PVD - Physical Vapour Deposition PVDF - Polyvinylidene Fluoride PZT - Zirconate Titanate TEP - Triethylphosphate THF - Tetrahydrofuran XRD - X-Ray Diffraction

(19)

xviii

LIST OF SYMBOL

- Vector of electrical field

- Electric charge density displacement - Vector of component mechanical stress A - Electrode area

Ad - Area of droplet in pixel Aα - α-phase absorbance bands Aβ - β-phase absorbance bands

Ag - Silver

Al - Aluminium

Au - Gold

BaTiO3 - Barium Titanate C - Capacitor CE - Elasticity

Cf - Friction coefficient Cpiezo - Piezoelectric capacitance

Cr - Chromium

c - Elastic constant

Ddrop - Droplet diameter

Dneedle - External diameter of the blunt needle

(20)

xix

d - Gauge between the electrodes plates dij - Piezoelectric strain coefficient EK - Kinetic energy

EU - Electrical energy Ecap - Energy stored

e - Piezoelectric coupling

Fimpact - Impact force

fbridge - Bridge resonance frequency fcantilever - Cantilever resonance frequency fnar - Natural frequency

g - Gravitational constant gij - Piezoelectric stress constant h - Droplet fall height

I - Moment of inertia k - Stiffness constant

kbridge - Stiffness constant of bridge kcantilever - Stiffness constant of cantilever kij - Electromechanical coupling constant kem - Electromechanical coupling coefficient

LAl_bottom - Al bottom layer

LAl_top - Al top layer

(21)

xx LPVDF - PVDF layer

l - Length

m - Mass of droplet mbeam - Mass of beam Oh - Ohnesorge number

P - Power

Pt - Platinum

Pimpact - Impact pressure

Pmax - Output power without loss Pout - Output power

Pout_eff - Output power with loss

Q - Charge

R - Resistance

S - Average volume deformation SE - Compliance

Tc - Curie temperature

timpact - Period of water droplet impact tvib - Vibration period

V - Voltage

VAC - Alternative current voltage VDC - Direct current voltage

(22)

xxi

VDC_AVE - Average DC voltage

VDC_SINGLE-DC - Voltage from single drop Vc - Poling voltage

Vg - Grid voltage

Voc - Open circuit voltage Vp - Peak voltage

v - Droplet Fall Velocity We - Weber number

w - Width

Y - Yo ng’s od l s ZnO - Zinc Oxide

γ - Water surface stress δ - Deflection

δbridge - Bridge deflection

δcantilever - Cantilever deflection

ε - Electrical permittivity coefficients ԑ0 - Electrical permittivity in vacuum ԑr - Relative permittivity of medium ϑ - Active volume

ρ - Density ρair - Density of air

(23)

xxii ρPVDF - PVDF density

ρwater - Water density, water density υ - o sson’s rat o

(24)

xxiii

PENAMBAHBAIKAN REKABENTUK PENUAI PIEZOELEKTRIK TENAGA TITISAN HUJAN

ABSTRAK

Penuaian tenaga titisan hujan memberikan sumber tenaga alternatif yang boleh digunakan semasa hujan. Walaupun penyelidikan yang ekstensif telah disiasat berkenaan penuaian tenaga titisan hujan mengunakan mekanisme piezoelektrik, penuai piezoelektrik tenaga titisan hujan (Piezoelectric Raindrop Energy Harvester (PREH)) yang bercekapan tinggi masih dalam penyelidikan. Kajian penyelidikan ini membentangkan rekabentuk dan pembangunan penambahbaikan rekabentuk baik PREH. Untuk mencapai rekabentuk yang lebih baik, beberapa langkah telah dilaksanakan. Ini termasuk siasatan ke atas profil titisan hujan untuk meramalkan tenaga kinetik dalam titisan hujan. Hasil kajian mendapati bahawa jumlah tenaga kinetik bergantung kepada saiz titisan dan halaju jatuh. Kedua, eksperimen telah dijalankan untuk membandingkan prestasi transduser PVDF komersial yang sering digunakan iaitu struktur jambatan dan julur yang tertakluk kepada titisan hujan simulasi. Keputusan eksperimen menunjukkan bahawa transduser berstruktur jambatan dengan dimensi 30 mm × 4 mm × 25 µm menjana voltan litar terbuka lebih tinggi daripada struktur julur, iaitu 4.22 V dan 0.41 V masing-masing. Langkah seterusnya adalah analisis kaedah unsur terhingga (FEM) melalui perisian COMSOL Multiphysics untuk menyiasat voltan litar terbuka, ketumpatan cas, pesongan transducer, dan frekuensi resonans. Berdasarkan struktur jambatan itu, pelbagai jenis struktur telah diubahsuai iaitu transduser berbentuk S, berbentuk zigzag, berbentuk H, dan berbentuk-X telah disiasat dengan lebih lanjut melalui simulasi FEM.

Berdasarkan keputusan simulasi, struktur optimum PREH adalah struktur enam jejari

Rujukan

DOKUMEN BERKAITAN

150 Table 4.9: Effect of various calcination temperatures on crystallite size, phase composition, surface area, and band gap energy of MWCNTs/ TiO 2 nanocomposites 155

Page Table 1-1 : Indirect and Direct Impact of franchise business to the US economy 4 Table 1-2 : The franchise industry in Malaysia (divided by sector) 16 Table 1-3 :

Table 1: Assessment of severity of AEBA………..………..11 Table 2: Summary of systemic reviews and meta-analysis on the efficacy of MgSO 4 as an adjunct therapy for AEBA ...15

Table 4.11 Comparison of average amoeboid forms in CN isolates between 87 control and different concentrations of metronidazole drug. Table 4.12 Summary of comparison

Table 5.1 Summary of Vegetable Crops in Northern Shounah: Gross Margins (GM 1 and 2), Water Requirements, Revenue of Water and Water Consumption for each activity according to

Referring to Table 2 above, factor 1 is labeled as Causation 1 which shows cause and effect relationship between customer value and financial performance, factor 2 is labeled

Table 2.6 Summary of preparation methods of Ag 2 S nanoparticles 25 Table 2.7 Summary of morphology and particle size of synthesized.. Ag 2

Table 1: Classification of body mass index for Asian population (kglm 2 ) 27 Table 2: Classification of body fat percentage (Norms) 28 Table 3: Standard value for grip