Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1228.76009
Momoniat, E.
On the determination of the steady film profile for a non-Newtonian thin droplet. (English)
[J] Comput. Math. Appl. 62, No. 1, 383-391 (2011). ISSN 0898-1221

Summary: 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 $\varphi $ and the position of the contact line $r$. From this nonlinear relationship we use curve fitting to obtain an empirical law of the form $\tan\varphi \cong r^{f(k)}$ where $k$ is the power law coefficient and $f$ is a nonlinear function of $k$.

MSC 2000:: *76A05 Non-Newtonian fluids
65L10 Boundary value problems for ODE (numerical methods)
76A20 Thin fluid films

Keywords: thin film; secant method; contact angle; contact line

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]