Friday, October 18, 2019
Madonna and Child Enthroned with Saints and Feast of Achelous Essay
Madonna and Child Enthroned with Saints and Feast of Achelous - Essay Example The paper "Madonna and Child Enthroned with Saints and Feast of Achelous" seeks to critique Raphaelââ¬â¢s ââ¬Å"Madonna and Child Enthroned with Saintsâ⬠and Peter Paul Rubens and Jan Bruenghel the Elder "Feast of Achelous". Whereas many forms of religious art during such a time were lavishly decorative while at the same time exhibiting a corresponding high level of artistic complexity, this particular piece of Raphael exhibits historical nuances that he untrained eye would not necessarily be able to pick up upon. For instance, whereas almost all of the religious iconography and paintings of the time and long before had pictured Christ as a naked baby, this particular piece was one of the first artistic expressions of Christ in a clothed state while still a baby. Many historians have attributed this to the fact that the nuns of the convent which commissioned Raphael to create the artwork had played a strong role in seeking to censor his style and demanded that a modest repre sentation of the male form be rendered. Moreover, the painting itself allows for some foreshadowing of the ways that Raphaelââ¬â¢s career would develop. One need only consider the use and choice of colors that Raphael engages with, representation of the clean lines, and the minimalism and life figure portrayal of both the Madonna as well as Christ to seek to draw a level of inference onto the means by which his career would progress and mirror many of these artistic ideals. Likewise, the second painting that this brief analysis.
Thursday, October 17, 2019
Research Problem of Coca-Cola Case Study Example | Topics and Well Written Essays - 1000 words - 1
Research Problem of Coca-Cola - Case Study Example Therefore, this called for a change of strategies by Coca-Cola and their option was to introduce a new product that offered the same feature like their competitors. In this case, they had to conduct a research in order to introduce a new product to market. Ã After the investigation, they identified that Pepsi was offering a product that had a sweeter taste and this contributed to a growth in the preference resulting in increased market share. Coca-Cola commenced a research project, whereby they spent two years and $4million prior to settling on a new formula. They conducted 200, 000 taste test on the final formula and a blind test, whose results were sixty percent of the consumers choosing the new formula over the old one. In fact, fifty-two percent of the customers choose it over Pepsi, and this was an indication that new coke would assist in dealing with the problem of losing the market share to Pepsi. Ã There was a narrow definition of the research problem by Coca-Cola, given that the research emphasized on the taste only and ignored the feelings of the customers in relation to replacing the old Coke with a New Coke. Therefore, Coca-Cola Company should have investigated on other intangibles such as the band name, history, packaging, cultural heritage, and reputation. In fact, they forgot that the symbolic meaning of coke was more important to the consumers than the taste. Moreover, Coca-Cola should have focused on the conducting a marketing research considering these emotions. Furthermore, there was a poor judgment during interpretation of research planning strategies by the managers. Ã
LEGISLATION IS INTRODUCED TO PROTECT UNMARRIED COHABITANTS Essay
LEGISLATION IS INTRODUCED TO PROTECT UNMARRIED COHABITANTS - Essay Example Under the Children Act 1989, an unmarried mother has the sole parental responsibility over her children however this was amended under the Adoption and Children Act 2002 where parental responsibility shall be acquired by the father if he is registered as the childââ¬â¢s father; there is a parental responsibility agreement; or when the court orders that he shall have parental authority upon his application.à Under the Children Act 1989, an unmarried mother has the sole parental responsibility over her children however this was amended under the Adoption and Children Act 2002 where parental responsibility shall be acquired by the father if he is registered as the childââ¬â¢s father; there is a parental responsibility agreement; or when the court orders that he shall have parental authority upon his application.à The legislative pronouncement protecting cohabitation may be used by couples who are prescribed by law to marry by reason of legal impediment or public policy to cir cumvent the law. A case in point is B & L v the United Kingdom where a parent-in-law is prohibited from marrying their child-in-law unless both had reached aged 21 and both their respective spouses had died. B was Lââ¬â¢s father-in-law, and they wished to marry. Lââ¬â¢s son treated his grandfather, B, as ââ¬ËDadââ¬â¢. However, upon application to the European Court of Human Rights (ECHR), it was ruled that the prohibition violates the right to marry notwithstanding its laudable and legitimate aim of protecting the family and any children of the couple. The prohibition was based primarily on tradition and considering the same situation, no legal prohibition exists when the couple would engage in an extra-marital relationship.à In fine, there are enough laws to protect the interest of unmarried cohabitants. They must only be vigilant in protecting their rights and interests so that they may not be unduly deprived of their rights and interests.... Under the Children Act 1989, an unmarried mother has the sole parental responsibility over her children however this was amended under the Adoption and Children Act 2002 where parental responsibility shall be acquired by the father if he is registered as the childââ¬â¢s father; there is a parental responsibility agreement; or when the court orders that he shall have parental authority upon his application.à Under the Children Act 1989, an unmarried mother has the sole parental responsibility over her children however this was amended under the Adoption and Children Act 2002 where parental responsibility shall be acquired by the father if he is registered as the childââ¬â¢s father; there is a parental responsibility agreement; or when the court orders that he shall have parental authority upon his application.à The legislative pronouncement protecting cohabitation may be used by couples who are prescribed by law to marry by reason of legal impediment or public policy to cir cumvent the law. A case in point is B & L v the United Kingdom where a parent-in-law is prohibited from marrying their child-in-law unless both had reached aged 21 and both their respective spouses had died. B was Lââ¬â¢s father-in-law, and they wished to marry. Lââ¬â¢s son treated his grandfather, B, as ââ¬ËDadââ¬â¢. However, upon application to the European Court of Human Rights (ECHR), it was ruled that the prohibition violates the right to marry notwithstanding its laudable and legitimate aim of protecting the family and any children of the couple. The prohibition was based primarily on tradition and considering the same situation, no legal prohibition exists when the couple would engage in an extra-marital relationship.à In fine, there are enough laws to protect the interest of unmarried cohabitants. They must only be vigilant in protecting their rights and interests so that they may not be unduly deprived of their rights and interests. Any legislation that would be enacted would put the cohabitation relationship at par with marriage and civil partnership is a mockery to the institutions. It would further erode marriage and civil partnership and from the growing number of couples choosing to cohabit without the benefit of marriage or civil partnership, it is marriage and civil partnership that need protection. Unmarried cohabitation should be left alone to give the parties freedom to choose but they cannot invoke protection as this is a direct assault on the institutions of marriage and civil partnership.Ã
Wednesday, October 16, 2019
Madonna and Child Enthroned with Saints and Feast of Achelous Essay
Madonna and Child Enthroned with Saints and Feast of Achelous - Essay Example The paper "Madonna and Child Enthroned with Saints and Feast of Achelous" seeks to critique Raphaelââ¬â¢s ââ¬Å"Madonna and Child Enthroned with Saintsâ⬠and Peter Paul Rubens and Jan Bruenghel the Elder "Feast of Achelous". Whereas many forms of religious art during such a time were lavishly decorative while at the same time exhibiting a corresponding high level of artistic complexity, this particular piece of Raphael exhibits historical nuances that he untrained eye would not necessarily be able to pick up upon. For instance, whereas almost all of the religious iconography and paintings of the time and long before had pictured Christ as a naked baby, this particular piece was one of the first artistic expressions of Christ in a clothed state while still a baby. Many historians have attributed this to the fact that the nuns of the convent which commissioned Raphael to create the artwork had played a strong role in seeking to censor his style and demanded that a modest repre sentation of the male form be rendered. Moreover, the painting itself allows for some foreshadowing of the ways that Raphaelââ¬â¢s career would develop. One need only consider the use and choice of colors that Raphael engages with, representation of the clean lines, and the minimalism and life figure portrayal of both the Madonna as well as Christ to seek to draw a level of inference onto the means by which his career would progress and mirror many of these artistic ideals. Likewise, the second painting that this brief analysis.
Tuesday, October 15, 2019
LEGISLATION IS INTRODUCED TO PROTECT UNMARRIED COHABITANTS Essay
LEGISLATION IS INTRODUCED TO PROTECT UNMARRIED COHABITANTS - Essay Example Under the Children Act 1989, an unmarried mother has the sole parental responsibility over her children however this was amended under the Adoption and Children Act 2002 where parental responsibility shall be acquired by the father if he is registered as the childââ¬â¢s father; there is a parental responsibility agreement; or when the court orders that he shall have parental authority upon his application.à Under the Children Act 1989, an unmarried mother has the sole parental responsibility over her children however this was amended under the Adoption and Children Act 2002 where parental responsibility shall be acquired by the father if he is registered as the childââ¬â¢s father; there is a parental responsibility agreement; or when the court orders that he shall have parental authority upon his application.à The legislative pronouncement protecting cohabitation may be used by couples who are prescribed by law to marry by reason of legal impediment or public policy to cir cumvent the law. A case in point is B & L v the United Kingdom where a parent-in-law is prohibited from marrying their child-in-law unless both had reached aged 21 and both their respective spouses had died. B was Lââ¬â¢s father-in-law, and they wished to marry. Lââ¬â¢s son treated his grandfather, B, as ââ¬ËDadââ¬â¢. However, upon application to the European Court of Human Rights (ECHR), it was ruled that the prohibition violates the right to marry notwithstanding its laudable and legitimate aim of protecting the family and any children of the couple. The prohibition was based primarily on tradition and considering the same situation, no legal prohibition exists when the couple would engage in an extra-marital relationship.à In fine, there are enough laws to protect the interest of unmarried cohabitants. They must only be vigilant in protecting their rights and interests so that they may not be unduly deprived of their rights and interests.... Under the Children Act 1989, an unmarried mother has the sole parental responsibility over her children however this was amended under the Adoption and Children Act 2002 where parental responsibility shall be acquired by the father if he is registered as the childââ¬â¢s father; there is a parental responsibility agreement; or when the court orders that he shall have parental authority upon his application.à Under the Children Act 1989, an unmarried mother has the sole parental responsibility over her children however this was amended under the Adoption and Children Act 2002 where parental responsibility shall be acquired by the father if he is registered as the childââ¬â¢s father; there is a parental responsibility agreement; or when the court orders that he shall have parental authority upon his application.à The legislative pronouncement protecting cohabitation may be used by couples who are prescribed by law to marry by reason of legal impediment or public policy to cir cumvent the law. A case in point is B & L v the United Kingdom where a parent-in-law is prohibited from marrying their child-in-law unless both had reached aged 21 and both their respective spouses had died. B was Lââ¬â¢s father-in-law, and they wished to marry. Lââ¬â¢s son treated his grandfather, B, as ââ¬ËDadââ¬â¢. However, upon application to the European Court of Human Rights (ECHR), it was ruled that the prohibition violates the right to marry notwithstanding its laudable and legitimate aim of protecting the family and any children of the couple. The prohibition was based primarily on tradition and considering the same situation, no legal prohibition exists when the couple would engage in an extra-marital relationship.à In fine, there are enough laws to protect the interest of unmarried cohabitants. They must only be vigilant in protecting their rights and interests so that they may not be unduly deprived of their rights and interests. Any legislation that would be enacted would put the cohabitation relationship at par with marriage and civil partnership is a mockery to the institutions. It would further erode marriage and civil partnership and from the growing number of couples choosing to cohabit without the benefit of marriage or civil partnership, it is marriage and civil partnership that need protection. Unmarried cohabitation should be left alone to give the parties freedom to choose but they cannot invoke protection as this is a direct assault on the institutions of marriage and civil partnership.Ã
Cathay Pacific Essay Example for Free
Cathay Pacific Essay HistoryIn 1946 two ex air force pilots Roy Farrell and Sydney de Kantzow founded Cathay Pacific in Hong Kong. Both of them contributed HK$1 so that their new found airline could be registered. Even though at first it was based in Shanghai, both founders shifted to Hong Kong where they established Cathay Pacific. According to Gavin (1988) 1960 was a good and prosperous year for the airline as they bought their rivals Hong Kong Airways. By 1964 it had more then a million customers. The and by 1967 they were unlimited customers. In the same era it also bought its first jet engined aircraft. It was the Convair 880. It seemed as if here was success after success because soon after buying the new aircraft they introduced their international flights. Cathay Pacific seemed to be soaring high as in 1999; a new head office was established in Hong Kong International Airport. They called it the Cathay City. Till today Cathay Pacific holds his head up high when it comes to quality service and success in the airline industry (Ashok 2003 p110)Part 2SuccessCathays success has based on her wide-range of service all around the world especially in Asia, and modern management orientation and employees from over ten countries. In every country their service is considered as quality service as they always make the customers journey pleasant one. The reason why Cathaywas so successful is that it has always believed in quality customer care and new strategies. They know what those successful in the past may not make them successful again as the world keeps changing. They believe that is their employees and human resource which make them successful. Their success lies in the airlines corporate philosophy which is service straight from the heart and determination for constant improvement (Chan 2000 p473). They believe that they have to deliver the best service and fulfil all the requirements of the passengers so that they have a pleasant journey Part 3 Company StructureLike in most organizations here too top management, technical support staff , middle management, administrativeà support staff and technical core are interrelated and serve more then one function.(Daft 2007 p27) The company structure of Cathay Pacific is not a complex one. The head of the organization is the chairperson this case it is Chris Pratt he joined the company in 1978. Then is the Tony Tyler the executive director. He directly reports to the chairpersonAll heads of the all the departments report reports directly to both the chair person and the executive director. John Slosar is the Chief Operating Officer he is the head of the most important department which is the operations departmentAfter the operations department the next important department is the Corporate Development department. The head of this department is Ian Shiu,The next important department is the Finance department. The director of this department is James E. Hughes-HallettThe next most important department is the Flight Operations department Nick Rhodes is the director of this department. The next most important department is the Sales and Marketing Department. James Barrington is the head of this Department. The next most important department is the Personnel department. The head of this department is William Chau. The next most important department is the Information Management department. Edward Nicol is the head of this department. The next important department is the Cargo Department. Rupert Hogg is the director of this department. Another important department is the corporate Affairs department. Quince Chong is the head of this department. Yet another important department is the service delivery department Ivan Chu is the head of this department. Last but not least is eth engraining department. The head of this departmentà is Christopher Gibbs References Ashok Ranchhod (2003); CIM Coursebooks 2002-2003 Diploma Case Study Book: Analysis and Decision (CIM Workbooks 2003/04) Butterworth-Heinemann; Revised edition p110Chan D (2000); Air wars in Asia: competitive and collaborative strategies and tactics in action Journal of Management Development , Vol 19 : 6 Pp473 488Daft, B.L. (2007); Organisation Theory and Design, 9th. Ed., South-Western p27Gavin Young (1988) ;Beyond Lion Rock: The Story of Cathay Pacific Airways Hutchinson Radius.
Monday, October 14, 2019
Study of Hydrodynamic Forces on Multiple Cylinders in Waves
Study of Hydrodynamic Forces on Multiple Cylinders in Waves Introduction In the recent years, there have been increase in demand of production in the offshore industry. The wide market scale of offshore structure business in oil and gas production attracts interest for investors. Offshore structures are stationary structures located in the marine environment for production of natural resources such as wind turbine for generating electricity, FPSO (Floating Production Storage Offload) for crude oil extraction and drilling for drillships. These offshore structures can be either fixed or freely floating. Floating offshore structures/platforms will be using mooring system or dynamic positioning method to float and hold its position in place. Many challenges are faced to withstand the position of the offshore structures due to seakeeping and wave load problems. As technology advance over the years, new implications and investigations are being carried out for offshore structures to to deal with seakeeping and wave load problems. The implication of hydrodynamic force acting on an offshore structure became important due to various wave loads and interactions might affect the results of hydrodynamic forces greatly. The hydrodynamic forces determine how structures float with varying wave frequencies, wave height and etc. Large offshore structures such as semi-submersibles, offshore wind turbines and SPAR are often being investigated to improve their efficiencies by changing their shapes or dimensions. Large offshore cylindrical structures would affect hydrodynamic results due to their wave diffraction and radiation forces. Therefore, in this literature review, investigations of hydrodynamic forces on multiple cylinders are being studied. In order to understand how the hydrodynamic results vary, floating bodies with varying distance are being placed in ideal fluid, where hydrodynamic interactions will cause the influence by the scattered waves and the wave load will differ greatly by the presence of the neighbouring cylinders. Thus, to obtain accurate results, these hydrodynamic interactions are investigated from theoretical predictions, software simulation analysis and model testing. The development of computer with memory capacity and computational speed increases with the advance in technology. The use of these software simulation analysis helps to analyse the wave interactions between multiple floating bodies in an ideal fluid. The software is dependant on the development of hydrodynamic theories. By using linear wave potential theory, the diffraction and radiation forces could be calculated. Hydrodynamic Interaction phenomena Studies of hydrodynamic interactions of multiple bodies have been on going over the past few decades. Hydrodynamic interaction created are due to wave actions the presence of neighbouring structures. A free floating body may experience six DOF (Degree of Freedom) due to surrounding condition, where three are translations (Surge, sway and heave) and three are rotations (Roll, pitch and yaw). Vertical and longitudinal motions are the primary motions which are often experience by offshore structures.[1] The interaction phenomena is due to diffraction and radiation forces acting on the structures and forces created by the structures. The velocity components and the motion of each body can be obtain by the integration of equation of motion. The interaction phenomena between two or more floating structures plays important role on the performance of floating structure systems. It depends on the sepetration distance between the floating bodies and also on the direction of flow with respect to the centerline of two floating bodies.[2] This phenomena can be investigated by using both theoretical and experimentally(Model Test). For experimental, using a full scale model tests are desirable but there are limitations due to controlled conditions and the high cost of production. Therefore, the need of associated computation tools for analysing these hydrodynamic forces to attain fast and accurate results. The complexity of multiple bodies solution increases with the amount of elements.(Research_3) Thus, the use of numerical method is highly recommended in this studies. http://www.ias.ac.in/sadhana/Pdf2004Dec/Pe1236.pdf [1] http://www.dtic.mil/dtic/tr/fulltext/u2/a254627.pdf [2] Potential Theory The knowledge of motion and wave induced forces of offshore mainly involves the structural design and its operation. Offshore structures in sea environment usually encounter environmental loads such as gravity, waves, wind and current. These are the basic information needed to evaluate the interaction of structures through the use of potential theory.(G. Moe, 1996) Potential theory can use to find out the general aspect of fluid flow problems in conjunction with Laplace equation. To satisfy the solution of the Laplace equations, boundary conditions of the fluid are set. Hydrodynamic forces in waves consist of radiation and diffraction forces where velocity potential is the key component to satisfy the Laplace equation. Radiation and Diffraction Problem Hydrodynamic forces is made up of diffraction and radiation forces. These forces includes the 6 degree of freedom that arises from the interaction of linear waves against any floating structure. In addition, these forces will provide information of hydrodynamic properties of floating structures, such as damping coefficient,added mass and wave excitation forces. The fluid must be assumed to be inviscid, incompressible and irrotational. Currently, there have been numerous theoretical and numerical studies on these problems. As the technology advances, researchers have obtained significant results on the phenomena, which made the study for these problems, such as structure and wave interactions, stability of floating structures aon going research. Diffraction Force Diffraction force is the pressure forces acting around the each structure, but due to multiple bodies and interaction of several bodies, the scattering will affect the results of incident wave. For free surface problems with the Laplace equation as the governing equation, a first order or a second-order boundary condition can be obtain using a linearized free surface boundary condition Radiation Force Boundary Conditions Governing Equation The motion response of a structure will cause the fluid to oscillate, hence creating pressure fields in the fluid. In order to capture the motion response and the surrounding pressure fields, velocity potential will be imposed. In addition, there are boundary conditions critition to be met. Drag forces are not being considered in the radiation and diffraction problems as it only occurs in slender body phenomena. With the assumption of having the structure placing in an ideal fluid with zero forward speed. In an ideal fluid condition, the fluid is irrotational and incompressible. The radiation condition should also be satisfied as it is to ensure that the waves propagate away from the structure. From the potential flow theory, it is made known that the velocity potential must satisfy the Laplace equations. Thus, the 3 boundary conditions mention below must be satisfied. Body surface The normal component of the fluid velocity is equal to the normal component of the heave force velocity Seafloor The normal component of the fluid velocity equal to zero Water surface The fluid pressure is equal to the atmospheric pressure and fluid particles will always remain on the free-surface. Pressure will be constant across the free surface. These equations mention below will show the governing equation imposed on radiation and diffraction problems.(Page 44) The velocity potential, along each component(x, y and z) satisfies the Laplace equation in the fluid domain, The free-surface condition, Boundary condition on the sea floor, Boundary condition on body surface, Where k is depends on the motion (six DOF) that the body surface is expose to and nis the unit vector normal to the body surface. Solving Boundary Value Problem The boundary conditions are all set in conjunction with velocity potential. The expression of linear hydrodynamic forces is derived from direct integration of the fluid pressure over the boundary of a body. By using the Greenââ¬â¢s theorem, part of the forces can be obtained with the solving the scattering potential. Defining the field point at any point and the source point for circulation, rotation and vorticity, the Green funtion will be presented in the form, Where Equation 7 expresses the source potential as a summation of a source in the finite fluid and an image source above the free surface condition where . This shows that there will at . Equation 8 expresses the source potential is a summation of a source in infinite fluid and an image sink above free surface when . This satisfy the free surface condition where velocity potential equal zero on . Therefore, the solution of the velocity potential for a problem (e.g. force heave) can be written as This source function is given for infinite water depth problem where is called the Green function. By using the Bernoulliââ¬â¢s equation, the total pressure could be fully derived with the use of velocity potential and the body motion amplitudes. Therefore, linear forces and moments are obtain from, We can consider component potentials such that the summation of hydrodynamic forces and moments are Where it is split into two components: the wave excitation force due to diffraction and forces due to radiation force(In terms of added mass and damping coefficients). Given we want to find the force at mode j. The linear forces, also known as the first order wave excitation force, the force for mode j is denote as From Greenââ¬â¢s theorem, applying it to and a component of the radiation potential, we have It is show that those integrals on the seabed, over the free surface and at the far field disappeared due to the boundary conditions for and on these surfaces. Therefore, upon substituting the equation of boundary conditions, the Haskind relation follows in the form of By using the equation of motion, the diffraction and radiation problem will be solved. Calculation of Hydrodynamic forces The boundary value problem is solve, therefore the forces and moments can be evaluate. Panel method is use to solve the boundary value problem which is based on potential theory. Assumptions such that the wave amplitudes of the fluid is small as compared to the cross-sectional dimensions of the body are made. The panelling of the structure is done by plane quadrilateral elements in three dimensional problems. http://www.academia.edu/6937922/Computation_of_Ship_Hydrodynamic_Interaction_Forces_in_Restricted_Waters_using_Potential_Theory The solution procedure can be generalized to any modes of motion, where added mass and damping matrix could be found. Solving the diffraction problem can be done by using the boundary condition (equation 5) where is the incident wave potential. From these solutions, we are able to derive the wave excitation loads such as wave excitation forces (surge, sway, heave) and wave excitation moments (roll, pitch, yaw). Therefore, solving the equation of motion and calculating the flow details such as hydrodynamic forces, by using the expression for velocity potential in terms of a three-dimensional source distribution. Past Researches Overview WAMIT Wamit software is a diffraction/radiation panel program developed to analyse the linear interaction of surface waves with several different types of submerged and floating structures. For this analysis of interaction, WAMIT uses a three-dimensional panel method and also following some theoretical method. By using this software, it can help to define the conditions of the interactions such as, finite or infinite water depth, structures location on the free surface, mounted on the seabed or submerged and whether the structures are fixed or freely floating with the motion of six degree of freedom. The fluid flow is assumed to be ideal and time harmonic. WAMIT is able to deal with both first order and linearize analysis which includes second order forces. WAMIT is able to focus on the hydrodynamic interaction of multiple body with any restriction of condition of fluid environment. The use of integral equation obtained by Greenââ¬â¢s theorem will help solve the diffraction and radiation velocity potentials on the body wetted surface. WAMIT will be able to evaluate the following quantities: Hydrostatic coefficients Added-mass and damping coefficients for all modes Wave excitation forces and moments using the Haskind relations, or directly by pressure integration from the solutions of diffraction or scattering problems. Motion amplitudes and phases for a freely floating body Forces restraining a body which is freely floating in some but not all modes Hydrodynamic pressure and fluid velocity on the body surface/fluid domain Free-surface elevation All component of the drift force and moment by momentum integration over a control surface Horizontal drift forces and mean yaw moment by momentum integration in the field All components of the drift force and moment by local pressure integration over body surface Drift force and moment in bidirectional waves Theoretical Method The method use by WAMIT will be a panel program designed to solve boundary-value problem for the interaction of waves phenomena with the pre-defining the bodies in finite or infinite water depth. Viscosity will not be considered. The time harmonic solutions are being solved for a given steady state incident wave field which is assumed to be represented by a superposition of a particular frequency components in the absence of the body. The boundary value problem will be used in conjunction with the integral equation using Greenââ¬â¢s theorem. These integral equation will be solved by panel method for the unknown velocity potential or strength source of the body surface. These integral equations of theoretical method could be found in .
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