# Derivation of Second Order Partial Differential Equation Indicating Wave and Heat Equation through the Use of the Navier Stokes Equation for Unsteady and Incompressible Flow: Scientific Explanation

In this study, we used the Navier Stoke’s equation for unsteady and incompressible flow to approach the ideas of two-dimensional wave equation and one-dimensional heat equation. Our efforts have been backed up by several justifications and analytical conversations. Our efforts have revealed the significant relationship that exists between fluid dynamics, wave mechanics, and heat movement. Obtaining sufficient understanding into such relationships can broaden knowledge levels and reveal important Navier Stokes equation implications.

**Author(S) Details**

**N. Akhtar
**Department of Mathematics, Shahjalal University of Science and Technology, Sylhet, 3114, Bangladesh.

**G. A. H. Chowdhury
**Department of Mathematics, Shahjalal University of Science and Technology, Sylhet, 3114, Bangladesh.

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