A correlation of viscosity of n-paraffin hydro-carbons

Author

Sheldon Krueger, New Jersey Institute of Technology

Document Type

Thesis

Date of Award

6-30-1963

Degree Name

Master of Science in Chemical Engineering - (M.S.)

Department

Chemical Engineering

First Advisor

Saul I. Kreps

Second Advisor

Joseph Joffe

Third Advisor

John E. McCormick

Abstract

A linear relationship between the Log viscosity and the Log vapor pressure is shown to exist for each n-paraffin hydrocarbon from C₃ to C₂₀. The average error of these equation e is ± 1.5 per cent of the American Petroleum Institute's¹ experimental values. The use of individual slopes for each equation is shown to be store accurate than one alone for all the viscosity data. These slopes e:thibit an unusual behavior by having a minimum value at undecane.

The slopes and intercepts are correlated with carbon number (the number of atoms in a n-paraffin Chain). These equations, shown below, are combined with a vapor pressure relationship which is a function of carbon number, N_c and temperature, °K only. The Nakanishi, Kureta, and Tamura7 vapor pressure equation has an abso-lute error of 9.3 per cent from A.P.I.¹ tabulations.

The viscosity, as a function of Nc and T only, is evaluated in the following manner:

Log μ = A + B Log Pv

where A = 1.761 + 0.0442N - 0.00294N_c² + 0.0000559N_c³

= -0.1436 - 0.01534N_c + 0.001108N_c² + 0.0000232N_c³

Log PV = (-b + √(b² - 4ac)/2a + 2.88081

and a = 1 10_-4

b = 2.15 x 10^-3 + 1.1 x 10^-5N_c^2/3

c = - 7.84 - 5.514 x 10^-4N_c^2/3 + >N_c^2/3/T

This equation has an absolute error of 3.24 per cent with a standard percentage deviation of 3.66 per cent. The maximum error is 7.10 per cent.

Recommended Citation

Krueger, Sheldon, "A correlation of viscosity of n-paraffin hydro-carbons" (1963). Theses. 2836.
https://digitalcommons.njit.edu/theses/2836