A pin of small radius R was immersed vertically in a liquid and taken out at time t=0 . The liquid Coating on the pin has thickness (Z,T). In the first approximation , assume that = constant . Obtain the equation of motion for Vz(r) and integrate to find the flow rate Q (cm*3/sec) for the film drawing under gravity . When the algebra gets very lengthy , you may drop subsequent steps . Calculate Vz fully , show it how to Q. Do shall balance as shown

( Q / Z ) = Z ( R + ) ( t ). pls solve the sum througly and explain

1. A pin of small radine R was inumerecd vertically in a liquid and taken out at time t=0. The liquich coating on the the first approximation, alenme That cous tant. Obiain the integrate to find the flow rate Q(cm3/s ) for the film dianing under gravity. - When The subeqpant stegs. Calculate vz fully, show how it leade to Q. Do a shell balanee to show