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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52. Q ::. Average heat transfer rate QL ... Local heat transfer rate ql'1 :: Rate of mechanical heat input qNET :: Net heat tra.11.sfer rate through heat transfer s'tlrface :: Rate of heat input to batch :: Radius of vessel :: Radius of bob :: Radius of cup ~ :: Pulley radius (Dynrunometer) :t'R .,. Sum of all heat transfer resistances except batch resistance I:;Rc :: Sum of all heat transfer resistances except batch resistance in cooling cycle :: Sura of all heat transfer resista.nces except batch r r ~~ .. ~(~Cr S S T ~~ T" Tb Ts Ts :: :: ::: ... "" :: :: = :: :: resistance in heatine; cycle Value of radical coordinates Dliuensionless radius defined by eq. 3-38 Dlffiensionless radius defined by eq. 3-10 Dynamometer scale reading (lbs) Ratio of cup radius to bob radius, Rc/Rb Temperature at any point Dimensionless temperat'tITe defined by eq. 3-16 Temperature in bulk of fluid Torque Hall surface temperature

5..3 T,.J = Tempera tUre ax thermocouple .6T o ::: Temperature driving force betHeen batch and heat transfer mediu:m hTs-b = Temperature drop be~~een wall surface and batch A T w _ b ::: Temperature drop bet1rJeen measured point in wall and the batch l) T\:Ar_s = Temperature drop bet"reen measured point in ",raIl and wall surface ~Tl_2::: Change in temperature of batch over time interval 1-2 t " t'~ ~ U V V Vb Ve Vr Vr *. ·~,~it- Vr V z .. ~~ .. V z H 1'1' 'a T.:Jb = Time ::: Dliaensionless time defined eq. 3-15 ::: Terminal blend time (seconds) = Overall heat transfer coefficient = Average velocity in pipe or tube = Characteristic velocity = 11])& ::: Linear velocity of bob = Velocity in angular direction ::: Velocity in radial direction ::: Dimensionless Vr defined by eq. 3-39 = DL~ensionless Vr defined by eq. 3-12 ::: Velocity in vertical direction = Dimensionless V z defined by eq. 3-13 = Height of batch = Width of agitator = Width of baffles

52.<br />

Q ::. Average <strong>heat</strong> <strong>transfer</strong> rate<br />

QL ... Local <strong>heat</strong> <strong>transfer</strong> rate<br />

ql'1 :: Rate <strong>of</strong> mechanical <strong>heat</strong> input<br />

qNET :: Net <strong>heat</strong> tra.11.sfer rate through <strong>heat</strong> <strong>transfer</strong><br />

s'tlrface<br />

:: Rate <strong>of</strong> <strong>heat</strong> input to <strong>batch</strong><br />

:: Radius <strong>of</strong> vessel<br />

:: Radius <strong>of</strong> bob<br />

:: Radius <strong>of</strong> cup<br />

~ :: Pulley radius (Dynrunometer)<br />

:t'R .,. Sum <strong>of</strong> all <strong>heat</strong> <strong>transfer</strong> resistances except<br />

<strong>batch</strong> resistance<br />

I:;Rc :: Sum <strong>of</strong> all <strong>heat</strong> <strong>transfer</strong> resistances except <strong>batch</strong><br />

resistance in cooling cycle<br />

::<br />

Sura <strong>of</strong> all <strong>heat</strong> <strong>transfer</strong> resista.nces except <strong>batch</strong><br />

r<br />

r ~~<br />

.. ~(~Cr<br />

S<br />

S<br />

T<br />

~~<br />

T"<br />

Tb<br />

Ts<br />

Ts<br />

::<br />

::<br />

:::<br />

...<br />

""<br />

::<br />

::<br />

=<br />

::<br />

::<br />

resistance in <strong>heat</strong>ine; cycle<br />

Value <strong>of</strong> radical coordinates<br />

Dliuensionless radius defined by eq. 3-38<br />

Dlffiensionless radius defined by eq. 3-10<br />

Dynamometer scale reading (lbs)<br />

Ratio <strong>of</strong> cup radius to bob radius, Rc/Rb<br />

Temperature at any point<br />

Dimensionless temperat'tITe defined by eq. 3-16<br />

Temperature in bulk <strong>of</strong> fluid<br />

Torque<br />

Hall surface temperature

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