Research Article
Deriving Mathematical Equations for Measuring the Holes of the Nay (Arabic Flute)
Ali Mamdouh Mohamed Ahmed*
Issue:
Volume 13, Issue 1, February 2024
Pages:
1-7
Received:
3 January 2024
Accepted:
11 January 2024
Published:
21 February 2024
Abstract: Developing and discovering things requires the process of collecting relevant data and information, which is then analyzed to draw conclusions that enable us to move from the contemplation stage to the innovation stage. It is evident that many musical instruments have undergone evolution over the decades, and this development continues to the present day. Before the commencement of the development and innovation phase, it is preceded by a stage of data and information collection and analysis, laying the foundation for a scientific basis relying on academic methods. The researcher believes that presenting an innovation or development process in a specific instrument should be followed by a mathematical analysis of the sound holes. The research aims to analyze the dimensions of the Nay instrument mathematically and derive mathematical equations for measuring its holes. The significance of the research lies in analyzing the holes of all sound degrees of the Nay instrument and deriving mathematical equations to measure the dimensions of the instrument, contributing to the overall development and elevation of research in Arab musical instruments, especially the Nay. The results were as follows: The ratio between the holes is equal, and equations were determined to calculate the positions of the Nay's holes.
Abstract: Developing and discovering things requires the process of collecting relevant data and information, which is then analyzed to draw conclusions that enable us to move from the contemplation stage to the innovation stage. It is evident that many musical instruments have undergone evolution over the decades, and this development continues to the prese...
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Research Article
Soret and Dufour Effects on MHD Fluid Flow Through a Collapssible Tube Using Spectral Based Collocation Method
Victor Kaigalula*,
Samuel Mutua
Issue:
Volume 13, Issue 1, February 2024
Pages:
8-28
Received:
21 December 2023
Accepted:
8 January 2024
Published:
28 February 2024
Abstract: This paper examine numerical study for soret and dufour effects on unsteady Newtonian MHD fluid flow with mass and heat transfer in a collapsible elastic tube using Spectral Collocation technique. The objective of the study is to determine the velocity, temperature and concentration profiles together with heat and mass transfer rates. The governing equations are continuity, momentum, energy and concentration equation. The system of nonlinear partial differential equations governing the flow solved numerically by applying collocation method and implemented in MATLAB. The numerical solution of the profiles displayed both by graphically and numerically for different values of the physical parameters. The effects of varying various parameters such as Reynolds number, Hartmann number, Soret number, Dufour number and Prandtl number on velocity, temperature and concentration profiles also the rates of heat and mass transfer are discussed. The findings of this study are important due to its wide range of application including but not limited to medical fields, biological sciences and other physical sciences where collapsible tubes are applied.
Abstract: This paper examine numerical study for soret and dufour effects on unsteady Newtonian MHD fluid flow with mass and heat transfer in a collapsible elastic tube using Spectral Collocation technique. The objective of the study is to determine the velocity, temperature and concentration profiles together with heat and mass transfer rates. The governing...
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