02_Averaging_web - ENU 4134 Averaging in Two-Phase Flow D....

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: ENU 4134 Averaging in Two-Phase Flow D. Schubring Fall 2011 Learning Objectives I 1-a-i Average any well-defined flow parameters over volume, area, and time I 1-a-ii Identify frequently-used averaged parameters and develop competence in computing these efficiently I 5-a Develop familiarity with terminology and mathematical symbols common to nuclear TH, including those symbols which do not map one-to-one to terminology Averaging, Averaged Parameters I Averaging operators volume, area, time (Chapter 5, Section 2) I Volume (and sometimes time) averaged parameters (Chapter 5, Section 3) I Area (and sometimes time) average parameters (Chapter 5, Section 4) Volume Averaging Notation: h c i = volumetric average of c (usually a scalar, doesnt have to be). Computation in general volume V : h c i = RRR V c ( ~ r , t ) dV RRR V dV (1) h c i = 1 V ZZZ V c ( ~ r , t ) dV (2) Weighted Volume Averaging (not in text) For some applications, it is useful to compute a volume average, weighted by some other parameter. Example: mass averaging, by weighting with the density. h c i mass = RRR V c ( ~ r , t ) ( ~ r , t ) dV RRR V ( ~ r , t ) dV (3) h c i mass = 1 M total ZZZ V c ( ~ r , t ) ( ~ r , t ) dV (4) Averaging over Phase Volume Phase density function k ( ~ r , t ) = 1 if ~ r occupied by phase k at t 0 otherwise (5) h c i k = RRR V c ( ~ r , t ) k ( ~ r , t ) dV RRR V k ( ~ r , t ) dV (6) The denominator is termed V k the volume occupied by phase k . Any volume in V but not in V k is termed V k , the volume occupied by phase k . Average over Phase Volume (2) Divide the numerator into two parts one is an integration over V k , the other an integration over V k : h c i k = RRR...
View Full Document

This note was uploaded on 10/22/2011 for the course ENU 4134 taught by Professor Schubring during the Fall '11 term at University of Florida.

Page1 / 30

02_Averaging_web - ENU 4134 Averaging in Two-Phase Flow D....

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online