2013Unpublished venueRequires access

Characteristics of High‐Reynolds‐Number Flows

Ronald L. Panton

Open publisher page 1 citations

Abstract

This chapter investigates some of the main characteristics of high-Reynolds-number flows. The flow field can be divided into two parts: an inviscid flow in the major portion of the flow region, and boundary layers near the walls. Boundary layer principles apply to thin regions of high shear (shear layers) within the main flow region. The chapter derives the equations for both inviscid flow and boundary layers. The purpose in doing this is to emphasize that these subjects are not distinct but that they hold complementary positions in the theory of fluid mechanics. Pressure forces needed to establish the inviscid flow pattern are determined from the Bernoulli equation. Viscous forces in the boundary layer slow the flow so that it meets the no–slip condition at the wall.

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What this paper is about

This chapter investigates some of the main characteristics of high-Reynolds-number flows. The flow field can be divided into two parts: an inviscid flow in the major portion of the flow region, and boundary layers near the walls. Boundary layer principles apply to thin regions of high shear (shear layers) within the main flow region. The chapter derives the equations for both inviscid flow and boundary layers. The purpose in doing this is to emphasize that these subjects are not distinct but that they hold complementary positions in the theory of fluid mechanics. Pressure forces needed to establish the inviscid flow pattern are determined from the Bernoulli equation. Viscous forces in the boundary layer slow the flow so that it meets the no–slip condition at the wall.

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Available abstract

This chapter investigates some of the main characteristics of high-Reynolds-number flows. The flow field can be divided into two parts: an inviscid flow in the major portion of the flow region, and boundary layers near the walls. Boundary layer principles apply to thin regions of high shear (shear layers) within the main flow region. The chapter derives the equations for both inviscid flow and boundary layers. The purpose in doing this is to emphasize that these subjects are not distinct but that they hold complementary positions in the theory of fluid mechanics. Pressure forces needed to establish the inviscid flow pattern are determined from the Bernoulli equation. Viscous forces in the boundary layer slow the flow so that it meets the no–slip condition at the wall.

Key concepts: Inviscid flow, Bernoulli's principle, Boundary layer, Mechanics, Reynolds number, External flow, No-slip condition, Hele-Shaw flow

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