Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation

Dang, B C; Chadwick, E A

Abstract

Consider the new theory by Chadwick [1] that describe the incompressible Navier-Stokes equations by an integral distribution of Navier-Stokes fundamental solutions called NSlets. Let us test this against triple deck theory for flow past a finite flat plate. This problem has well known analytic expressions given in three decks [3, 4] which we will compare against the new theory. To do this, we will extend the velocity representation for flow past a semi-infinite flat plate given in Adamu [5] who models the velocity by a boundary integral distribution of NSlets approximated in the boundary layer. We start with obtaining the outer deck velocity potential and compare this with the analytic expression given for the outer deck in the existing literature [3, 4]. From this, we indicate how to obtain the velocity in the middle deck where there is inviscid flow and the pressure is non-negligible, and lastly the viscous lower deck.

Citation

Dang, B. C., & Chadwick, E. A. (in press). Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation.

• Start Date: Jul 10, 2023
• Acceptance Date: Apr 1, 2023
• Deposit Date: Jul 3, 2023