Pulling Tape inside a fluid!

During a coating process, a thin, flat tape of width w w is pulled through a channel of length L L containing a Newtonian fluid of density ρ \rho and dynamic viscosity μ \mu . The fluid is in contact with both sides of the tape. Estimate the force required to pull the tape through the channel if the tape has velocity v v and the channel has height H H .

Note : You may assume that the tape is much thinner than H H .

2 μ v w l H \frac{2 \mu v w l}{H} 4 μ v w l H \frac{4 \mu v w l}{H} None of These μ v w l H \frac{ \mu v w l}{H} μ v w l 2 H \frac{\mu v w l}{2H}

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1 solution

Rahul Badenkal
Jun 19, 2015

Assume velocity profile to be linear as no information is given about it.

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