Chapt06

We should check the reynolds number to ensure

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: of a specific viscous-flow analysis, we take the classic problem of flow in a full pipe, driven by pressure or gravity or both. Figure 6.10 shows the geometry of the pipe of radius R. The x-axis is taken in the flow direction and is inclined to the horizontal at an angle . Before proceeding with a solution to the equations of motion, we can learn a lot by making a control-volume analysis of the flow between sections 1 and 2 in Fig. 6.10. The continuity relation, Eq. (3.23), reduces to Q1 or V1 Q2 Q1 A1 const Q2 A2 V2 (6.23) since the pipe is of constant area. The steady-flow energy equation (3.71) reduces to p1 1 2 2 1V 1 gz1 p2 1 2 2 2V 2 gz2 ghf (6.24) | v v since there are no shaft-work or heat-transfer effects. Now assume that the flow is fully | e-Text Main Menu | Textbook Table of Contents | Study Guide 6.4 Flow in a Circular Pipe 1 p1 = p 2 + ∆ p 339 g x = g sin φ g r= φ R r u( r) τw 2 p2 τ( r) Z1 x2 –x 1 =∆ φ L x Z2 Fig. 6.10 Control volume of steady, fully developed flow between two sections in an inclined pipe. developed (Fig. 6.6), a...
View Full Document

Ask a homework question - tutors are online