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

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CHAPTER I<br />

INTRODUCTION<br />

BATCH HEAT TRANSFER<br />

Heat <strong>transfer</strong> from one fluid through a wall to another<br />

fluid is usually described using an overall <strong>heat</strong> <strong>transfer</strong><br />

coefficient, U.<br />

dq := UdA6To (1-1<br />

where q is the amount <strong>of</strong> <strong>heat</strong> <strong>transfer</strong>red through <strong>heat</strong><br />

<strong>transfer</strong> area dA.<br />

The driving <strong>for</strong>ce,.6 To, is the overall<br />

or total difference in temperature bettr-J8en the hot and<br />

cold <strong>fluids</strong>. The reciprocal <strong>of</strong> the overall <strong>heat</strong> <strong>transfer</strong><br />

coefficient is the sun <strong>of</strong> all the resistances to <strong>heat</strong><br />

floWe<br />

Equation 1-2 defines the overall <strong>heat</strong> <strong>transfer</strong><br />

I :=l+l+L 1<br />

1 U 11m hf kw + h (1-2<br />

coefficient <strong>for</strong> a jacketed vessel where h m is the coefficient<br />

<strong>of</strong> <strong>heat</strong> <strong>transfer</strong> <strong>of</strong>' the fluid <strong>heat</strong> <strong>transfer</strong> medium.<br />

Its<br />

reciprocal is thus the resistance <strong>of</strong> this fluid to the flow<br />

<strong>of</strong> <strong>heat</strong>. ~f<br />

is the resistance due to the fouling <strong>of</strong> the<br />

<strong>heat</strong> <strong>transfer</strong> surfaces. L is the thickness <strong>of</strong> the wall<br />

and kvJ is its therm.al conductivity. The<br />

resistance to <strong>heat</strong> flow due to the l-Jall.<br />

ratio, {r is the<br />

-1.v<br />

~ is the resistance<br />

on the <strong>batch</strong> side <strong>of</strong> the <strong>heat</strong> <strong>transfer</strong> surface and h is<br />

called the <strong>batch</strong> <strong>heat</strong> <strong>transfer</strong> coefficient.<br />

In many cases the <strong>batch</strong> <strong>heat</strong> <strong>transfer</strong> coefficient<br />

is small and tkus is a controlling factor determining the

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