Determine the cunningham correction factor for 0.60 micron particle by evaluating (a) the mean molecular speed u for air in meters per second, (b) the mean free path λ in meters, at 1 atm and 300oK, and (c) Kc from an equation requiring Dp and λ as input data.
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- Compute the kinematic viscosity of a R ft long model of ship when the prototype ship length is 500 ft and is travelling with a speed of 20mile per hour in an ocean whose viscosity is 1.2 cP and specific weight is 64 lb/ft3 . Keeping in mind to satisfy the condition that both the Reynolds number and the Froude number should be same. (R is 39)A simple viscometer measures the time t for a solid sphere to fall a distance L through a test fluid of density p. The fluid viscosity u is then given by 2PDL if t2 3TDL where D is the sphere diameter and Wnet is the sphere net weight in the fluid. (a) Prove that both of these formulas are dimensionally homogeneous. (b) Suppose that a 2.5 mm diameter aluminum sphere (density 2700 kg/m³) falls in an oil of density 875 kg/m³. If the time to fall 50 cm is 32 s, estimate the oil viscosity and verify that the inequality is valid.A) In a lab, a core sample (cylinder) was weighed first in air and then in water. Calculate the Mass inwater (kg) given the information below.Mass in air = 3.94 kg Density = 2390 kg/m3B) Calculate the height (mm) of the core sample described above assuming a 2:1 height to width ratio.
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