Using Bernoulli’s Differential Equation To Solve Thermodynamic And Aerodynamic Problems Describing Changes In Velocity Or Pressure

Authors

  • Ahmed .M. Elmishri The Higher institute for Science and Technology, Algaraboli, Libya. Author
  • Mohamed M. Al fetori The Higher institute for Science and Technology, Algaraboli, Libya. Author
  • Khalid. M. Omran The Higher institute for Science and Technology, Algaraboli, Libya. Author
  • Adel .E. El-allam College of Engineering Technology – Janzour Author

Keywords:

Bernoulli’s equation, fluid dynamics, aerodynamics, thermodynamics, pressure-velocity relationship, compressible flow, viscous flow

Abstract

Bernoulli’s equation represents a cornerstone in fluid dynamics, describing the interdependence of pressure, velocity, and elevation along a streamline. Rooted in the principle of energy conservation, it offers essential insights into the behavior of thermodynamic and aerodynamic systems. This study investigates the application of Bernoulli’s differential form to analyze variations in velocity and pressure within fluid flows. The derivation, underlying assumptions, and practical implications of the equation are discussed in detail, with emphasis on its use in aerodynamic analyses (e.g., lift and drag estimation) and thermodynamic applications (e.g., flow behavior in nozzles and diffusers). Through selected case studies and computational simulations, the utility of Bernoulli’s equation in engineering design and system analysis is demonstrated. Furthermore, the study addresses the equation’s limitations, particularly in scenarios involving compressible and viscous flows, and outlines relevant extensions to enhance its applicability under such conditions.

Downloads

Published

2025-12-14

Issue

Vol. 13 No. 2 (2025): Volume (13), Issue (2), December 2025

Section

المقالات

License

General Licensing Terms for the Libya Journal of Applied and Technical Sciences (LJATS)

  • Open Access License: All articles are published under an Open Access model, typically under the Creative Commons Attribution (CC BY) license, allowing for the sharing and adaptation of the work provided that the original authors and source are properly cited.

  • Copyright Ownership: Upon acceptance, authors may be required to sign a copyright transfer agreement or grant the journal a non-exclusive license to publish and distribute the work.

  • Originality and Plagiarism: By submitting, authors guarantee that the work is original and has not been published elsewhere. The journal employs strict plagiarism detection tools to ensure academic integrity.

  • Author Warranty: Authors warrant that their submission does not infringe upon any third-party copyrights or intellectual property rights.

  • Article Processing Charges (APC): (If applicable) The licensing terms include the requirement to settle any publication fees prior to the final release of the manuscript.

  • Permitted Use: Readers are permitted to read, download, copy, distribute, print, or link to the full texts of the articles for lawful purposes without prior permission from the publisher or author, provided the source is acknowledged.

  • Opinions expressed in this journal solely represent the views of the authors and do not necessarily reflect the official position of the journal or its editorial board.

  • Authors and researchers bear full legal and ethical responsibility for the accuracy of all data and information contained within their papers.

  • All copyrights are reserved by the journal. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form without explicit citation and reference to the original source.

  • Disclaimer: The order of research papers in each issue does not imply any preference or ranking of quality; the arrangement is determined solely by technical formatting requirements.

 

How to Cite

Using Bernoulli’s Differential Equation To Solve Thermodynamic And Aerodynamic Problems Describing Changes In Velocity Or Pressure. (2025). Libya Journal of Applied Sciences and Technology, 13(2). https://www.ljast.ly/journalv2/index.php/journalv2/article/view/37