The value of transfer function H' ( s ) W i ' ( s ) needs to be determined, also the gain and timeconstants needs to be calculated. Concept introduction: A Taylor series in mathematics is a description of a function as an infinite number of terms determined at a single point from the values of the function’s derivatives.

Question

A mixture of oil and gas flows through a horizontal pipe with an inside diameter of 150 mm. The respective volumetric flow rates for the oil and gas are 0.015 and 0.29 m³s-1. Determine the gas void frac- tion and the average velocities of the oil and gas. The friction factor may be assumed to be 0.0045. The gas has a density of 2.4 kgm³ and viscosity of 1 x 10-5 Nsm-2. The oil has a density of 810 kgm³ and density of 0.82 Nsm². Answer: 0.79, 20.8 ms-1, 4 ms-1

Answer 1

Question

Chapter 4, Problem 4.8E

Interpretation Introduction

Interpretation:

The value of transfer function H'(s)Wi'(s) needs to be determined, also the gain and timeconstants needs to be calculated.

Concept introduction:

A Taylor series in mathematics is a description of a function as an infinite number of terms determined at a single point from the values of the function’s derivatives.

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A mixture of oil and gas flows through a horizontal pipe with an inside diameter of 150 mm. The respective volumetric flow rates for the oil and gas are 0.015 and 0.29 m³s-1. Determine the gas void frac- tion and the average velocities of the oil and gas. The friction factor may be assumed to be 0.0045. The gas has a density of 2.4 kgm³ and viscosity of 1 x 10-5 Nsm-2. The oil has a density of 810 kgm³ and density of 0.82 Nsm². Answer: 0.79, 20.8 ms-1, 4 ms-1

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