A suspension made of aspirin particles and ethanol is flowing in a pipe of 50 mm diameter. Ethanol and aspirin properties are reported in the table below. Property Ethanol density (kg/m³) Ethanol dynamic viscosity (Pas) Particle density (g/cm³) Particle mean diameter (µm) Region Re single particle range CD Value 789 0.00109 Assume the single particle Reynolds number is equal to 0.1. The empirical parameters a and b are 0.7 and 0.2 respectively. Stokes < 0.3 24 Rep 1.4 20 Intermediate 0.3< Rep < 500 24 Rep (1 + 0.15 Rep 0.687) Newton's law 500 Rep < 2 x 105 ~0.44 (a) Calculate the critical velocity above which particles will remain suspended during the suspension flow in the pipe. Consider the suspension is flowing under Stokes flow regime. (b) How does the critical velocity of the suspension travelling in the pipe change if the solvent is ethylene glycol rather than ethanol? Ethylene glycol density is 1110 kg/m³ and dynamic viscosity is 0.0162 Pa.s. (c) How does the critical velocity of the suspension travelling in the pipe change if the mean diameter of the suspended particles is 300 μm? (d) How does the critical velocity of the suspension travelling in the pipe change if the diameter of the pipe is 10 cm?

A suspension made of aspirin particles and ethanol is flowing in a pipe of 50 mm diameter. Ethanol and aspirin properties are reported in the table below. Property Ethanol density (kg/m³) Ethanol dynamic viscosity (Pas) Particle density (g/cm³) Particle mean diameter (µm) Region Re single particle range CD Value 789 0.00109 Assume the single particle Reynolds number is equal to 0.1. The empirical parameters a and b are 0.7 and 0.2 respectively. Stokes < 0.3 24 Rep 1.4 20 Intermediate 0.3< Rep < 500 24 Rep (1 + 0.15 Rep 0.687) Newton's law 500 Rep < 2 x 105 ~0.44 (a) Calculate the critical velocity above which particles will remain suspended during the suspension flow in the pipe. Consider the suspension is flowing under Stokes flow regime. (b) How does the critical velocity of the suspension travelling in the pipe change if the solvent is ethylene glycol rather than ethanol? Ethylene glycol density is 1110 kg/m³ and dynamic viscosity is 0.0162 Pa.s. (c) How does the critical velocity of the suspension travelling in the pipe change if the mean diameter of the suspended particles is 300 μm? (d) How does the critical velocity of the suspension travelling in the pipe change if the diameter of the pipe is 10 cm?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.18P: The drag on an airplane wing in flight is known to be a function of the density of air (), the...

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