Prediction of batch heat transfer coefficients for pseudoplastic fluids ...

Prediction of batch heat transfer coefficients for pseudoplastic fluids ... Prediction of batch heat transfer coefficients for pseudoplastic fluids ...

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88 ql\fETI A = 6 T \--T -s L/kw (1+-12 1.Jhere l:l T"'I_S is the temperature difference bet1tJeen the measured point in the wall and the unkn01~ surface temperaturee If it is assumed that the wall resistance, L/~v' is negligible one could calculate the batch film coefricient using h' .,. ql-TET A6T 1 -J_b (4-13 hf can be calculated since all the variables can be measured or calcula ted. If equations 4-9 and 4-12 are equated~Ts_b ~he unknown variable in equation 4-10 ,can be calculated • b,T _ s b l/b_ III .6Tw_b l/h +L!kw and b,T s _ b = .6.T w _ b l+h L/lt w (4-15 Substituting 6T s _ b into equation L-1-- 1 0 (4-10 + hL) ~r (4-16 The group in the first set of parenthesis is equal to h'

and if' it is assumed that h' is almost equal to h equation 4-16 can be written h = hI (1 + h Y L/kw) (4-17 hI is calculated from equation ~--13. L is the average distance of the ther.nlocouple junction from the surface ~ 0.02 inches = 0.001667 feet. y~ is the thermal conductivity of' 316 stainless steel Substituting the values for L and kw (286) h = h' (1 + 0.0001774 hI) Apparent Vis~2sity of' the Batch The apparent viscosity of the batch is needed in the Reynolds nilluber, Prandtl number, and viscosity ratio. It can be calculated using equation 2-25. (2-25 The apparent viscosity is expressed in Ib .. /sec. f't if' K is expressed in Ib./ft. sec. n and N is expressed in rev. per. second .. The apparent viscosity of' the batch could also be expressed (4-19 based on the theoretical 8.-l1alysis d:i.scussed in Chapte,;,s{~~,Wjo0 \i".2t~;

88<br />

ql\fETI A = 6 T \--T -s<br />

L/kw<br />

(1+-12<br />

1.Jhere l:l T"'I_S is the temperature difference bet1tJeen the<br />

measured point in the wall and the unkn01~<br />

surface temperaturee<br />

If it is assumed that the wall resistance, L/~v'<br />

is<br />

negligible one could calculate the <strong>batch</strong> film coefricient<br />

using<br />

h' .,. ql-TET<br />

A6T 1 -J_b<br />

(4-13<br />

hf can be calculated since all the variables can be measured<br />

or calcula ted.<br />

If equations 4-9 and 4-12 are equated~Ts_b ~he<br />

unknown<br />

variable in equation 4-10 ,can be calculated •<br />

b,T _ s b<br />

l/b_<br />

III<br />

.6Tw_b<br />

l/h +L!kw<br />

and<br />

b,T s<br />

_ b = .6.T w _ b<br />

l+h L/lt w (4-15<br />

Substituting 6T s _ b into equation L-1-- 1 0<br />

(4-10<br />

+ hL)<br />

~r (4-16<br />

The group in the first set <strong>of</strong> parenthesis is equal to h'

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