Determine the pressure difference that is required to fill a cell phone housing in one tenth of a second. Model the shape as a flat plate that is injected over its full width, assume Newtonian behavior, and use a viscosity μ = 36 Pa. s.

Question

Engineering

Papito

23 August, 13:11

Determine the pressure difference that is required to fill a cell phone housing in one tenth of a second. Model the shape as a flat plate that is injected over its full width, assume Newtonian behavior, and use a viscosity μ = 36 Pa. s.

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Answers (1)

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Skye Floyd · Answer 1

P1 - P2 = 276 x 10^5 pa

Explanation:

Here we are provided with the following dа ta:

Viscosity (µ) = 36 pa. s

Thickness (t) = 1.5 mm

Length (L) = 120 mm

time (s) = 1/10 = 0.1 sec

velocity = v = L/s = 120/0.1

v = 1200 mm/sec

Now we will calculate the pressure difference using the formula of flat plate.

P1-P2 = 12 (μ*v*L) / t^2

here P1 and P2 are the pressures,

Substituting values in the formula above

P1 - P2 = (12*36*1200*120) / (1.5^2)

P1 - P2 = 276 x 10^5 pa