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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2753
APPLICATION OF BIOMIMETICS IN DESIGN OF VEHICLES – A REVIEW
AKASH G M
STUDENT, DEPARTMENT OF AEROSPACE ENGINEERING, RV COLLEGE OF ENGINEERING, KARNATAKA, INDIA
---------------------------------------------------------------------------***---------------------------------------------------------------------------
ABSTRACT :- “LOOK DEEP INTO THE NATURE YOU WILL UNDERSTAND EVERYTHING BETTER”-Albert Einstein Biomimetics
plays a vital role in solving complex human problems because the nature is evolving according to its favor (natural selection). This
article discusses the various ways that can be implemented in design of the aircraft, automobiles, trains, ships through
biomimetics, as engineers are doing lot of research in providing the feasibility of the aerodynamic parameters. Animals and birds
are the best natural elements which helps people of this field to improvise, as in this paper we will be discussing about various
animals which helped the engineers to ease their work, some of the versatile birds like owl, merganser recently they found one of
the migratory bird geese which fly in a “V” shape to save energy and benefit from the “air upwash” of the leader. This flight
technique represents a significant opportunity to help airlines to reduce fuel consumption and pollutants like carbon dioxide,
kingfisher which helped in improving the speed of the train and box fish where a bionic car is made by the company Mercedes
Benz which reduces the drag and shark in designing the ship which also helped in its drag reduction
KEYWORDS: Trailing edge, Biomimetics, Lift, Drag, Reynolds number, bionic, Wake,
1. INTRODUCTION
Biological organisms have evolved well-adapted structures and materials over geological time through natural
selection. Biomimetics is a concept which imitates and inspired by biological solutions at macro and nano scales i.e.
humans have looked into the nature for answers to the problems throughout our existence, nature has solved major
engineering problems such as self-healing abilities, environmental exposure tolerance and resistance, hydrophobicity,
self-assembly, and harnessing solar energy.
Aircraft design and flight techniques are being inspired by birds and bats and box fish for the design of car, shark in
the design of ship and the bird kingfisher for designing the nose of the train. Nature has spent millions of years
refining. This paper discusses solution for various problems in design of the vehicles which helped to reduce the drag
and hence focuses on those designs which have been brought out through “BIOMIMETICS”.
2. RESEARCH REVIEW
LIFT ENHANCEMENT BY SETE:
The studies carried out by Tianshu, Williams and Qamar have showed that lift will get enhanced using static extended
trailing edge they used this technique by imitating birds like owl and merganser where zero-lift drag and Ostwald
efficiency remains unchanged. They also started analyzing the development of wake flow structures with base line
model as well as SETE where the value for base line model was found out to be 0.032 and the value for SETE was
lesser than the baseline model that is 0.02, so they came to the conclusion that SETE produced fewer wakes as
compared to the base line model and application of SETE can improve the cruise flight efficiency of transport aircraft
and UAV without changing the basic aerodynamic configuration.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2754
FIG 01 MODEL WITH SETE FIG 02 SETE OF OWL AND MERGANSER
FIG 03 LIFT ENHANCEMENT OF NACA 0012 BY SETE
FIG 04 DEVELOPMENT OF WAKE FLOW FIG 05 DEVELOPMENT OF WAKE FLOW
STRUCTURES AFFECTED BY SETE STRUCTURES IN BASELINE MODEL
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2755
3. STUDY OF AERODYNAMICS OF BOX FISH:
This paper investigated on the aerodynamic behavior of a boxfish using both experimental and computational
method. A scaled up model boxfish was manufactured and tested in RMIT. For the required wind tunnel data, for
experimental study they used RMIT industrial wind tunnel, where the lift and side forces were not determined and
presented in this paper. They only presented the data of drag , Apart from numerical data, they also made analysis on
flow features around the simplified model and they found that the simplified boxfish model achieves low drag
characteristics and they came to the conclusion that together with the wind tunnel data and mesh convergence
studies. CFD results have been established and an overall agreement at higher Reynolds number was achieved, the
simplified box fish model which they have made displayed a favorable drag coefficient of 0.073 at a Reynolds number
equivalent to 100km/h in flow velocity , and boxfish geometry was found to be a very efficient at minimizing the
disturbance Mercedes Benz decided to model the Bionic after this fish due to the supposed low coefficient of drag of
its body shape and the rigidity of its exoskeleton; which influenced the car’s unusual looks.
FIG 06 COMPUTATIONAL MODEL AND WIND TUNNEL MODEL FIG 07 STREAMLINE CHARACTERISTICS AND
SCHEMATIC SETUP OF HALF MODEL TESTS VELOCITY VECTOR FOR SIMPLIFIED MODEL
(a) (b)
CHART 01 (a) DRAG COEFFICIENT CONVERGENCE CHARACTERISTICS
(b) DRAG COEFFICIENT VARIATION WITH REYNOLDS NUMBER
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2756
4. SHAPE OPTIMIZATION OF HIGH SPEED RAIL BY BIOMIMETICS
This paper discusses on shape optimization of high speed rail by biomimetics, where they checked the aerodynamics
of train nose because only nose and tail will play a vital role in giving pressure, to reduce them, they used sharp edges,
studied about the micropressure wave, which has been subjected to train nose, calculated different drag for different
carriages of CRH380A. They used sailfish which is known as the fastest fish in the ocean, An adult peregrine falcon
which is the fasted animal in the world which dives at a speed over 386km/h, A belted kingfisher which could fly at a
speed ranged between 58-72 km/h, They also took dolphin which has highly streamlined shape because of it which
allows it to sprint. They obtained three key concepts from the animal model , they are types of nose, cross section type
and nose shape and the bio models were obtained mainly by combining different key concepts of morphological
evaluation , The bio models were obtained mainly by combining different key concepts of morphological evaluation,
The bio models were then compared with the relative design of CRH380A as the bench mark of this research and they
finally came to the conclusion that the drag coefficient of the high speed rail is not dependent on the cross-section of
the train body, neither round based nor square based shows the comparison of drag coefficient for different groups of
bio-models ; round based cross section and square based cross section. They totally used 8 bio models named
111,112,121,122,211,212,221,222 in which the drag coefficient 111 and 211 is lower than that of 121 and 221 by 5%
while the drag coefficient of 112 and 212 is higher than that of 121 and 222 by 3%. The drag coefficient for rounded
nose shape models were higher because the area of stagnation point for rounded nose shape is larger and the impact
is greater compared to that of sharp nose shape. The maximum pressure at the nose tip of model 211 is 209pa.
However the maximum nose pressure of model 211 is 555pa.There is a huge difference in pressure between the two
types of nose shape. Therefore they concluded that sharp nose shape is more efficient than rounded nose shape.
TABLE 01 DRAG COEFFECIENT RESULT
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2757
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2758
5. THE STUDY OF DRAG REDUCTION ON SHIPS INSPIRED BY SIMPLIFIED SHARK SKIN IMITATION:
This paper also discusses on drag reduction on ships inspired by simplified shark skin imitation, their main focus was
on design modification though bio mimetic riblet structure of shark skin denticle as an attempt in improving the
hydrodynamic design of marine vessels in this paper they were mainly focusing on wall shear, velocity profile and
turbulence kinetic energy produced by modified and unmodified hull form through CFD activity. Macro scaled
biomimetic riblet shark skin is applied on frontal and rear vicinity of the container ship with the intention of
improving the fluid flow around the ship which will provide better flow separation control especially at the ship hull
surface area and improving performance of system such as ship performance, duct or pump efficiency and saving the
energy. It’s not easy because of the complex structure of shark skin denticle where the finally concluded that the
coefficient of drag has been reduced by 3.75% and gave the reduction of 3.89% in drag force by container ship model.
FIG 08 3D reconstructed micro-CT model of a single denticle of mako shark
FIG 09 (a) TKE on rear end model of container ship with biomimetic shark skin (b) TKE on rear end model of plain ship (c)
TKE on front model of container ship with biomimetic shark skin (d) TKE on front model of plain ship
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072
© 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2759
CHART 02 Pressure , Isoline on CS Model with biomimetic shark skin
CONCLUSION:
This review paper mainly focuses on the design of vehicles , which was applied through biomimetics as this paper
focused on only few aerodynamic parameters there may be various objectives where we can get solutions for major
engineering problems such as fuel consumption, reducing the emission of pollutant gases which harm our nature. As
the main goal of today’s scenario is to uplift the sustainable development, why only nature has this capacity is because
it will evolve itself according to its environment, we can take human as the best example for this which explained how
he get evolved himself from animals like lemur from 7,00,00000 years ago to until today, so the main primary
objective of this paper is to start looking in the nature for finding the solutions for each and every engineering
problems because as everyone knows “CHANGE IS THE LAW OF NATURE” natural elements will be always changing
day by day according to its ease the only thing we need to do is understand them and start to save them.
REFERENCES:
1 .Lift enhancement by static extended trailing edge-T.Liu, J.montefort, W. Lious, S.R. Pantula, and Q. Shams Journal of
aircraft, vol.44, No.6 2007, pp. 1939-1947
2. Thin airfoil theoretical interpretation for Gurney Flap Lift Enhancement”, T.Liu and J.Montefort, Journal of aircraft,
volume44, No.2,2007, pp.667-671
3. Unsteady Flow calculations for flexible thin plate-W.W. Lious, S. and R.Pantula, AIAA Paper 2007-4339, Miami, FL,
2007
4. Bio-inspired design: Aerodynamics of boxfish- Harun chowdary, Bavin raj loganathan, Firoz alam, article in
procedia engineering-December-2015
5. Advances in automotive energy efficiency through biomimetic design-S.Peter, J.H.K.S Fiske, Lean, Light and Quiet,
SAE International, SAE Technical paper.(2008-21-0028)
6. M.P. Zari, Biomimetic approaches to architectural design for increased sustainability, school of architecture, Victoria
University, NZ, 2007.
7. Shape optimization of high speed rail by biomimetic article in MATEC web of conferences-November 2017
8. UIC, The High –speed definition of the European Union, Retrieved March 26, 2016 from
http://www.uic.org/highspeed (2012).
9.The study of drag reduction on ships inspired by simplified shark skin imitation-M.D. Ibrahim, S.N.A. Amran, Y.S.
Yunos, M.R.A. Rahman, published on 2 may 2018 on hindwani applied bionics and biomechanics, volume 2018.
10. H. Dong, M.Cheng, Y.Zhang, H.Wei, and F.Shi ,-Extraordinary drag-reducing effect of a super hydrophobic coating
on a macroscopic model ship at high speed”, Journal of materials chemistry A, vol. 1, no. 19, p. 5886, 2013.
11. K.Cullinane and M.Khanna,- Economies of scale in large container ships”, Journal of Transport Economics and
Policy, vol.33, no. 2, pp. 185-207, 1999.

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IRJET - Application of Biomimetics in Design of Vehicles – A Review

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2753 APPLICATION OF BIOMIMETICS IN DESIGN OF VEHICLES – A REVIEW AKASH G M STUDENT, DEPARTMENT OF AEROSPACE ENGINEERING, RV COLLEGE OF ENGINEERING, KARNATAKA, INDIA ---------------------------------------------------------------------------***--------------------------------------------------------------------------- ABSTRACT :- “LOOK DEEP INTO THE NATURE YOU WILL UNDERSTAND EVERYTHING BETTER”-Albert Einstein Biomimetics plays a vital role in solving complex human problems because the nature is evolving according to its favor (natural selection). This article discusses the various ways that can be implemented in design of the aircraft, automobiles, trains, ships through biomimetics, as engineers are doing lot of research in providing the feasibility of the aerodynamic parameters. Animals and birds are the best natural elements which helps people of this field to improvise, as in this paper we will be discussing about various animals which helped the engineers to ease their work, some of the versatile birds like owl, merganser recently they found one of the migratory bird geese which fly in a “V” shape to save energy and benefit from the “air upwash” of the leader. This flight technique represents a significant opportunity to help airlines to reduce fuel consumption and pollutants like carbon dioxide, kingfisher which helped in improving the speed of the train and box fish where a bionic car is made by the company Mercedes Benz which reduces the drag and shark in designing the ship which also helped in its drag reduction KEYWORDS: Trailing edge, Biomimetics, Lift, Drag, Reynolds number, bionic, Wake, 1. INTRODUCTION Biological organisms have evolved well-adapted structures and materials over geological time through natural selection. Biomimetics is a concept which imitates and inspired by biological solutions at macro and nano scales i.e. humans have looked into the nature for answers to the problems throughout our existence, nature has solved major engineering problems such as self-healing abilities, environmental exposure tolerance and resistance, hydrophobicity, self-assembly, and harnessing solar energy. Aircraft design and flight techniques are being inspired by birds and bats and box fish for the design of car, shark in the design of ship and the bird kingfisher for designing the nose of the train. Nature has spent millions of years refining. This paper discusses solution for various problems in design of the vehicles which helped to reduce the drag and hence focuses on those designs which have been brought out through “BIOMIMETICS”. 2. RESEARCH REVIEW LIFT ENHANCEMENT BY SETE: The studies carried out by Tianshu, Williams and Qamar have showed that lift will get enhanced using static extended trailing edge they used this technique by imitating birds like owl and merganser where zero-lift drag and Ostwald efficiency remains unchanged. They also started analyzing the development of wake flow structures with base line model as well as SETE where the value for base line model was found out to be 0.032 and the value for SETE was lesser than the baseline model that is 0.02, so they came to the conclusion that SETE produced fewer wakes as compared to the base line model and application of SETE can improve the cruise flight efficiency of transport aircraft and UAV without changing the basic aerodynamic configuration.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2754 FIG 01 MODEL WITH SETE FIG 02 SETE OF OWL AND MERGANSER FIG 03 LIFT ENHANCEMENT OF NACA 0012 BY SETE FIG 04 DEVELOPMENT OF WAKE FLOW FIG 05 DEVELOPMENT OF WAKE FLOW STRUCTURES AFFECTED BY SETE STRUCTURES IN BASELINE MODEL
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2755 3. STUDY OF AERODYNAMICS OF BOX FISH: This paper investigated on the aerodynamic behavior of a boxfish using both experimental and computational method. A scaled up model boxfish was manufactured and tested in RMIT. For the required wind tunnel data, for experimental study they used RMIT industrial wind tunnel, where the lift and side forces were not determined and presented in this paper. They only presented the data of drag , Apart from numerical data, they also made analysis on flow features around the simplified model and they found that the simplified boxfish model achieves low drag characteristics and they came to the conclusion that together with the wind tunnel data and mesh convergence studies. CFD results have been established and an overall agreement at higher Reynolds number was achieved, the simplified box fish model which they have made displayed a favorable drag coefficient of 0.073 at a Reynolds number equivalent to 100km/h in flow velocity , and boxfish geometry was found to be a very efficient at minimizing the disturbance Mercedes Benz decided to model the Bionic after this fish due to the supposed low coefficient of drag of its body shape and the rigidity of its exoskeleton; which influenced the car’s unusual looks. FIG 06 COMPUTATIONAL MODEL AND WIND TUNNEL MODEL FIG 07 STREAMLINE CHARACTERISTICS AND SCHEMATIC SETUP OF HALF MODEL TESTS VELOCITY VECTOR FOR SIMPLIFIED MODEL (a) (b) CHART 01 (a) DRAG COEFFICIENT CONVERGENCE CHARACTERISTICS (b) DRAG COEFFICIENT VARIATION WITH REYNOLDS NUMBER
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2756 4. SHAPE OPTIMIZATION OF HIGH SPEED RAIL BY BIOMIMETICS This paper discusses on shape optimization of high speed rail by biomimetics, where they checked the aerodynamics of train nose because only nose and tail will play a vital role in giving pressure, to reduce them, they used sharp edges, studied about the micropressure wave, which has been subjected to train nose, calculated different drag for different carriages of CRH380A. They used sailfish which is known as the fastest fish in the ocean, An adult peregrine falcon which is the fasted animal in the world which dives at a speed over 386km/h, A belted kingfisher which could fly at a speed ranged between 58-72 km/h, They also took dolphin which has highly streamlined shape because of it which allows it to sprint. They obtained three key concepts from the animal model , they are types of nose, cross section type and nose shape and the bio models were obtained mainly by combining different key concepts of morphological evaluation , The bio models were obtained mainly by combining different key concepts of morphological evaluation, The bio models were then compared with the relative design of CRH380A as the bench mark of this research and they finally came to the conclusion that the drag coefficient of the high speed rail is not dependent on the cross-section of the train body, neither round based nor square based shows the comparison of drag coefficient for different groups of bio-models ; round based cross section and square based cross section. They totally used 8 bio models named 111,112,121,122,211,212,221,222 in which the drag coefficient 111 and 211 is lower than that of 121 and 221 by 5% while the drag coefficient of 112 and 212 is higher than that of 121 and 222 by 3%. The drag coefficient for rounded nose shape models were higher because the area of stagnation point for rounded nose shape is larger and the impact is greater compared to that of sharp nose shape. The maximum pressure at the nose tip of model 211 is 209pa. However the maximum nose pressure of model 211 is 555pa.There is a huge difference in pressure between the two types of nose shape. Therefore they concluded that sharp nose shape is more efficient than rounded nose shape. TABLE 01 DRAG COEFFECIENT RESULT
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2757
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2758 5. THE STUDY OF DRAG REDUCTION ON SHIPS INSPIRED BY SIMPLIFIED SHARK SKIN IMITATION: This paper also discusses on drag reduction on ships inspired by simplified shark skin imitation, their main focus was on design modification though bio mimetic riblet structure of shark skin denticle as an attempt in improving the hydrodynamic design of marine vessels in this paper they were mainly focusing on wall shear, velocity profile and turbulence kinetic energy produced by modified and unmodified hull form through CFD activity. Macro scaled biomimetic riblet shark skin is applied on frontal and rear vicinity of the container ship with the intention of improving the fluid flow around the ship which will provide better flow separation control especially at the ship hull surface area and improving performance of system such as ship performance, duct or pump efficiency and saving the energy. It’s not easy because of the complex structure of shark skin denticle where the finally concluded that the coefficient of drag has been reduced by 3.75% and gave the reduction of 3.89% in drag force by container ship model. FIG 08 3D reconstructed micro-CT model of a single denticle of mako shark FIG 09 (a) TKE on rear end model of container ship with biomimetic shark skin (b) TKE on rear end model of plain ship (c) TKE on front model of container ship with biomimetic shark skin (d) TKE on front model of plain ship
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 03 | Mar 2020 www.irjet.net p-ISSN: 2395-0072 © 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 2759 CHART 02 Pressure , Isoline on CS Model with biomimetic shark skin CONCLUSION: This review paper mainly focuses on the design of vehicles , which was applied through biomimetics as this paper focused on only few aerodynamic parameters there may be various objectives where we can get solutions for major engineering problems such as fuel consumption, reducing the emission of pollutant gases which harm our nature. As the main goal of today’s scenario is to uplift the sustainable development, why only nature has this capacity is because it will evolve itself according to its environment, we can take human as the best example for this which explained how he get evolved himself from animals like lemur from 7,00,00000 years ago to until today, so the main primary objective of this paper is to start looking in the nature for finding the solutions for each and every engineering problems because as everyone knows “CHANGE IS THE LAW OF NATURE” natural elements will be always changing day by day according to its ease the only thing we need to do is understand them and start to save them. REFERENCES: 1 .Lift enhancement by static extended trailing edge-T.Liu, J.montefort, W. Lious, S.R. Pantula, and Q. Shams Journal of aircraft, vol.44, No.6 2007, pp. 1939-1947 2. Thin airfoil theoretical interpretation for Gurney Flap Lift Enhancement”, T.Liu and J.Montefort, Journal of aircraft, volume44, No.2,2007, pp.667-671 3. Unsteady Flow calculations for flexible thin plate-W.W. Lious, S. and R.Pantula, AIAA Paper 2007-4339, Miami, FL, 2007 4. Bio-inspired design: Aerodynamics of boxfish- Harun chowdary, Bavin raj loganathan, Firoz alam, article in procedia engineering-December-2015 5. Advances in automotive energy efficiency through biomimetic design-S.Peter, J.H.K.S Fiske, Lean, Light and Quiet, SAE International, SAE Technical paper.(2008-21-0028) 6. M.P. Zari, Biomimetic approaches to architectural design for increased sustainability, school of architecture, Victoria University, NZ, 2007. 7. Shape optimization of high speed rail by biomimetic article in MATEC web of conferences-November 2017 8. UIC, The High –speed definition of the European Union, Retrieved March 26, 2016 from http://www.uic.org/highspeed (2012). 9.The study of drag reduction on ships inspired by simplified shark skin imitation-M.D. Ibrahim, S.N.A. Amran, Y.S. Yunos, M.R.A. Rahman, published on 2 may 2018 on hindwani applied bionics and biomechanics, volume 2018. 10. H. Dong, M.Cheng, Y.Zhang, H.Wei, and F.Shi ,-Extraordinary drag-reducing effect of a super hydrophobic coating on a macroscopic model ship at high speed”, Journal of materials chemistry A, vol. 1, no. 19, p. 5886, 2013. 11. K.Cullinane and M.Khanna,- Economies of scale in large container ships”, Journal of Transport Economics and Policy, vol.33, no. 2, pp. 185-207, 1999.