3-08 - 3-8 The control volume to be used in the analysis of...

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3-8. The control volume to be used in the analysis of this process is shown in Figure 3.8a. The construction of this control volume begins with a “cut” at the exit of the tank where information is given and a “cut” at the gas-liquid interface where information is required . These two cuts are joined where vn is known, i.e., 0 = = vn wn . We begin the Figure 3.8a . Moving control volume for a draining tank analysis with the macroscopic mass balance for a moving control volume, and we express that result as () tt d dV dA dt ρ+ ρ = ∫∫ vw n VA 0 (1) Here we have used V to represent the moving control volume and A to represent the boundary of the control volume. We assume that the density can be treated as a constant so that Eq. 1 simplifies to t t t dt dA dt +− = 0 n A V (2) The normal component of the relative velocity , ( ) n , is zero everywhere except at the exit of the tank, thus Eq. 2 simplifies to o 0 A dA dt + = V (3) and this result can be expressed as
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2 () 0 4 d Dh t Q dt π  +=   (4) We are given that the volumetric flow rate leaving the tank can be expressed as
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This note was uploaded on 07/15/2010 for the course ECM 051 taught by Professor B.g.higgins during the Winter '10 term at UC Davis.

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3-08 - 3-8 The control volume to be used in the analysis of...

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