On the determination of the steady film profile for a non-Newtonian thin droplet

E. Momoniat

doi:10.1016/j.camwa.2011.05.021

On the determination of the steady film profile for a non-Newtonian thin droplet

E. Momoniat

University of the Witwatersrand

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A shooting method is used to determine a solution to a third-order ODE modeling the steady profile of a non-Newtonian thin droplet. We compare a direct approach to an iterative approach using a secant method. We obtain a nonlinear relationship between the contact angle φ and the position of the contact line r. From this nonlinear relationship we use curve fitting to obtain an empirical law of the form tanφ∝rf^(k) where k is the power law coefficient and f is a nonlinear function of k.

Original language	English
Pages (from-to)	383-391
Number of pages	9
Journal	Computers and Mathematics with Applications
Volume	62
Issue number	1
DOIs	https://doi.org/10.1016/j.camwa.2011.05.021
Publication status	Published - Jul 2011
Externally published	Yes

Keywords

Contact angle
Contact line
Secant method
Thin film

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2011.05.021

Cite this

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abstract = "A shooting method is used to determine a solution to a third-order ODE modeling the steady profile of a non-Newtonian thin droplet. We compare a direct approach to an iterative approach using a secant method. We obtain a nonlinear relationship between the contact angle φ and the position of the contact line r. From this nonlinear relationship we use curve fitting to obtain an empirical law of the form tanφ∝rf(k) where k is the power law coefficient and f is a nonlinear function of k.",

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AB - A shooting method is used to determine a solution to a third-order ODE modeling the steady profile of a non-Newtonian thin droplet. We compare a direct approach to an iterative approach using a secant method. We obtain a nonlinear relationship between the contact angle φ and the position of the contact line r. From this nonlinear relationship we use curve fitting to obtain an empirical law of the form tanφ∝rf(k) where k is the power law coefficient and f is a nonlinear function of k.

KW - Contact angle

KW - Contact line

KW - Secant method

KW - Thin film

UR - https://www.scopus.com/pages/publications/79959503581

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ER -

On the determination of the steady film profile for a non-Newtonian thin droplet

Abstract

Keywords

ASJC Scopus subject areas

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