Download Fluid Mixing II. A Symposium Organised by the Yorkshire by M.F. Edwards, N. Harnby and J.C. Middleton (Auth.) PDF

By M.F. Edwards, N. Harnby and J.C. Middleton (Auth.)

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Extra info for Fluid Mixing II. A Symposium Organised by the Yorkshire Branch and the Fluid Mixing Processes Subject Group of the Institution of Chemical Engineers and Held at Bradford University, 3–5 April 1984

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In determining, the relationship between T b and 0γ> allowance must be made for the liquid pressure p. Therefore, an effective normal stress o b is defined:- °b s (12) °b * P Friction between the blade and cake is limiting:T b a (13) ^b°b where y b is the coefficient of friction between the blade and cake. Similarly, an effective normal stress at the wall a w must take account of both pressure and adhesion forces. a w - ^w - p - o a d (14) 39 Symposium Series No. 89 However, i n c a l c u l a t i n g f r i c t i o n a l f o r c e s t h e e f f e c t s of normal and adhesive f o r c e s are a d d i t i v e ( 5 ) .

The constant G is a function of the detailed geometry of the impeller, blade width, thickness and the number of blades. 0. In our present work we have used a vessel with rounded bottom as depicted in fig. 1. (1) for equal clearances. Figure 3 also shows the increase in power number for small clearances. TWO PHASE SYSTEM LIQUID-SOLID For all experiments reported in this paper we have used sand particles 100 ym with narrow size distribution and Zwietering's 1-2 sec. criterion (Zwietering (1958)) for determination of complete suspension.

From 11 and 13 σ From 10, w( b) (a ) w Equation 13, b w (cos Θ - \ib s i n θ) (16) 15 and 16 ' be b b (a ) b b b (a ) w 17 can be s i m p l i f i e d if (Mg + μ a σ ) >, w ad ^ a^ σ' s i n θ w w (a ) w ad (17) y b = p w = μ. (1 + μ 2 ) (18) Equation 18 limits the normal stress a b that the blade can exert in order to maintain a stable cake. Equation 18 applies to the wall where the blade leaves the trough. For walls where the blade enters the trough it can be shown that:(1 + μ 2 ) > ' (Mg - μ a % σ ) w ad σ' sin θ (19) Equations 18 and 19 are the criteria for stable cake formation at the opposite walls of a ribbon mixer.

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