Asphalt at 120 F, considered to be a Newtonian fluid with a viscosity 80000 times that of water and a specific gravity of 1.09, flow through a pipe of diameter 2.0 in. If the pressure gradient is 1.6 psi/ft determine the flowrate assuming the pipe is (a) horizontal; (b) vertical with flow up.

a) Flow rate if the pipe is horizontal, Q = 4.69 * 10⁻³ ft³/s

b) Flow rate if the pipe is vertical, Q = 3.30 * 10⁻³ ft³/s

Explanation:

From the BI table, dynamic viscosity of water at 120°F is:

Pressure gradient,

Pipe Diameter, D = 2 in = 2/12 ft = 0.167 ft

Dynamic viscosity of asphalt at 120°F:

Specific weight of asphalt:

Flow rate, Q, of the asphalt when the pipe is in horizontal position assuming that the flow is laminar:

Note that if the pipe is horizontal, θ = 0°

b) Flow rate assuming the pipe is vertical:

At vertical pipe position, θ = 90°

answer:

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