ABSENSE OF PHYSICAL CORRESPONDENCE AND REVERSIBILITY BETWEEN PRESSURE GRADIENT AND GRADIENT FREE LAMINAR COMPRESSIBLE BOUNDARY LAYER FLOWS

Authors

DOI:

https://doi.org/10.18372/0370-2197.3(112).21604

Keywords:

boundary layer, laminar compressible flow, pressure gradient and gradient free flows, external flow, Navier-Stokes equations

Abstract

This paper examines the physical validity of existing theories regarding the laminar boundary layer of a compressible fluid. It is shown that while the equations describing fluid motion in classical studies (by Blasius and Kármán) correspond to the problem of a body moving through a fluid that is still at infinity, the boundary conditions employed actually correspond to the inverse problem of a fluid flowing around an immobile body (such as flow in a wind tunnel). Thus, there is a physical discrepancy between the theories and actual flows (problems). It is shown that a complete reversibility of the problems is impossible, as the results of one flow cannot be used to describe another due to the differing nature (dynamics) and kinematics of these flows. The physical formulations of the direct problem (motion of a body in a fluid) and the inverse problem (fluid flow around an immobile body), along with their numerical solutions, are presented. For the inverse problem, the velocity field is compared with known results (von Kármán’s), while for the direct problem, it is compared with other studies. Overall, the qualitative results for both problems are similar to those used for comparison.

Author Biographies

Pavlo Lukianov, National University “Kyiv Aviation Institute”

Ph.D., Associate Professor in Aviation Engineering Department, National University “Kyiv Aviation Institute”, 03058, Ukraine, Kyiv, Lubomyr Husar ave., 1

Yeugen Utiuhov, National University “Kyiv Aviation Institute”

postgraduate in Aviation Engineering Department, National University “Kyiv Aviation Institute”, 03058, Ukraine, Kyiv, Lubomyr Husar ave., 1

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Published

2026-10-18

How to Cite

Lukianov, P., & Utiuhov, Y. (2026). ABSENSE OF PHYSICAL CORRESPONDENCE AND REVERSIBILITY BETWEEN PRESSURE GRADIENT AND GRADIENT FREE LAMINAR COMPRESSIBLE BOUNDARY LAYER FLOWS. Problems of Friction and Wear, (3(112), 77–89. https://doi.org/10.18372/0370-2197.3(112).21604

Issue

No. 3(112) (2026)

Section

Проблеми тертя та зношування

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