Home › JCARM › Vol 1, Issue 5 › Article
Original Research Article

Analysis of Potential Fluid Flow,Harmonic Function and its Application

Apih ThankGod Eteng, Obi N Tanu, Daniel Obono Ofem., Ekpelu, Mustapha Musa, Ehoche Edache Elijah, Odifioyi Dorcas Elijah

Click an author's name to view their details

Apih ThankGod Eteng

Department of Mathematics, Faculty of physical Science. University of Cross River State.

Received
13 Jun 2026
Published
10 Jul 2026

Abstract

This project is aimed at showing the application of potential flow in fluid mechanics. It has been shown so far in this project that for an incompressible irrotational and inviscid flow that the vorticity vector is the curl of the flow velocity it gives in a potential kind of flow. It was also demonstrated in this project that the harmonic function is a solution of the Laplace equation it gives in fluid mechanics to the potential kind of flow which is also called the irrotational flow. The irrotationality of a potential flow is due to the curl of the gradient of a scala, always being equal to zero. The flow described by this model are potential fields, the velocity potential function and the determination of the velocity component from it’s scalar function. i.e. by differentiating the stream function with respect to the given coordinates are described in this project. A description of the reduction of the equations of motion for “ideal” (irrotational incompressible and inviscid) flow to a single equation. Viz the laplace equation is provided in some details.

Keywords: Potential Flow, Harmonic Functions, Navier-Stokes Equation, Fluid Mechanics, Laplace Equation

How to Cite

APA

Eteng, A. T., Tanu, O. N., Ofem., D. O., Ekpelu, M. M., Elijah, E. E., & Elijah, O. D. (2026). Analysis of Potential Fluid Flow,Harmonic Function and its Application. Journal of Contemporary Academic Research and Methodologies, 1(5). https://doi.org/10.5281/zenodo.21300022

MLA

Eteng, Apih ThankGod, Obi N Tanu, Daniel Obono Ofem., Mustapha Musa Ekpelu, Ehoche Edache Elijah, and Odifioyi Dorcas Elijah. "Analysis of Potential Fluid Flow,Harmonic Function and its Application." Journal of Contemporary Academic Research and Methodologies, vol. 1, no. 5, 2026. DOI: https://doi.org/10.5281/zenodo.21300022

Chicago

Eteng, Apih ThankGod, Obi N Tanu, Daniel Obono Ofem., Mustapha Musa Ekpelu, Ehoche Edache Elijah, and Odifioyi Dorcas Elijah. "Analysis of Potential Fluid Flow,Harmonic Function and its Application." Journal of Contemporary Academic Research and Methodologies 1, no. 5 (2026). https://doi.org/10.5281/zenodo.21300022

References

Anderson, J. D. Jr. (2021). _Fundamentals of aerodynamics_ (7th ed.). McGraw-Hill Education. Batchelor, G.K. (1973). _An introduction to fluid mechanics_. Cambridge University Press. Chadwick, P. (1976). _Continuum mechanics_. Dover Publications. Chanson, H. (2009). _Applied hydrodynamics: An introduction to ideal real field flows_. CRC Press: Taylor and Francis Group. Chanson, H. (2022). _Applied hydrodynamics: An introduction to ideal and real fluid flows_ (3rd ed.). CRC Press/Taylor & Francis. Frank M. White (1983). _Fluid Mechanics_ (4th ed.). Mcgraw-Hil. Joseph, O, & Lico, A. (1974). The viscous incompressible flow inside a cone. _J. Fluid Mech_, 21(1), 47-81. Kundu, P. K., Cohen, I. M., & Dowling, D. R. (2021). _Fluid mechanics_ (7th ed.). Academic Press. Lamb, H. (1994). _Hydrodynamics_ (6th ed.). Cambridge University Press. Light, R. (1979). A new solution of the Naiver-Stokes equation for the motion of a fluid contained between two (2) parallele plate rotating about the same axis. _Arch. Mech. Stosowan_, 31(2), 265-280. McCornick, Barnes W. (1979). Aerodynamics view of Lift Bernoulli and Newton, 40. Mrinal, K. (2019). _Theoretical and Experimental Aerodynamics_ pp. 107-126. Teman Roger (1984). _Naiver-Stoke Equations: Theory and Numerical Analysis_. ACM: Chelsea Publishing. White Frank. M. (2006). _Viscous fluid flow_. McGraw-Hill. White, F. M. (2022). _Fluid mechanics_ (9th ed.). McGraw-Hill Education. William, T. & Peter, T. (1990). _Modern compressible flow with historical prospective_. Mc Graw-Hill.
CC BY-NC-SA 4.0

This article is published under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. Free to read, share, and adapt with attribution.

Article Access
↓ Download PDF
23
Views
15
Downloads
Metadata
ISSN 3139-7247
Tracking ID JCARM_JUN_26_054
Article No. 031
↓ Download JATS XML
Article Info
Journal JCARM
Volume Vol 1, No 5
Year 2026
Type Original Research Article
Licence CC BY-NC-SA 4.0
Share