Open AccessDerivation of Second Order Partial Differential Equation Indicating Wave and Heat Equation through the Use of the Navier Stoke’s Equation for Unsteady and Incompressible Flow
Author(s) -
M. G. A. Hayder Chowdhury,
N. Akhtar
Publication year - 2021
Publication title -
european journal of mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 2736-5484
DOI - 10.24018/ejmath.2021.2.3.45
Subject(s) - partial differential equation , heat equation , compressibility , wave equation , flow (mathematics) , differential equation , first order partial differential equation , mathematics , mechanics , incompressible flow , physics , mathematical analysis , classical mechanics
In this paper, we have tried to approach the concepts of two-dimensional wave equation and one dimensional heat equation through the means of the Navier Stoke’s equation for unsteady and incompressible flow. Our pursuit to do so has been supported with ample justifications and analytic discussions. The strong relation shared by the fluid dynamics, wave mechanics and heat flow has been brought to light through our attempts.