Millifluidics, 4. Actual surfaces The effect of the roughness q a q - PowerPoint PPT Presentation

Aug 24, 2023 •44 likes •144 views

Millifluidics, 4. Actual surfaces The effect of the roughness q a q r rough flat wax surface Dettre & Jonhson Super-hydrophobic surfaces 200 m Onda et al. Apparent contact angle Cos q * q * cos q q Onda et al. A textured surface

Millifluidics, 4. Actual surfaces
The effect of the roughness q a q r rough flat wax surface Dettre & Jonhson
Super-hydrophobic surfaces 200 µm Onda et al.
Apparent contact angle Cos q * q * cos q q Onda et al.
A textured surface C. Marzolin
Effective wetting diagram cos q * 1 - f S r cos q -1 cos q c 1 -1 + f S
Aphids “pearls” 1 mm N. Pike, D. Richard, W. Foster, L. Mahadevan
Rotating marbles Pascale Aussillous
Doughnut or peanut ? Pascale Aussillous

Recommend

Millifluidics, 1. Surface Tension Shape of droplets by Dr Seuss The shape of me and other

Millifluidics, 1. Surface Tension Shape of droplets by Dr Seuss The shape of me and other stuff Theres a wocket in my pocket by Curious Georges from Opposites Nasa version M. Weislogel,

457 views • 11 slides

Millifluidics, 6. Instabilities Jet break-up free jet forced oscillations Rutland &

Millifluidics, 6. Instabilities Jet break-up free jet forced oscillations Rutland & Jameson Water fishbones A. Hasha & J. Bush Electrostatic fishbones D. Nikitopoulos, A. Kelly Vibration induced atomization B. Bukasinovic, A.

525 views • 7 slides

Millifluidics, 2. Contact with a solid Droplet on a solid Copper on saphir (at 1600C)

Millifluidics, 2. Contact with a solid Droplet on a solid Copper on saphir (at 1600C) D.Chatain Zisman plot cos q s c q liq Precursor films (perfect wetting) very small droplet small droplet A.M. Cazabat, F. Heslot, N. Fraysse Surface

205 views • 5 slides

Subdivision Surfaces CAGD Ofir Weber 1 Spline Surfaces Spline Surfaces Why use them?

Subdivision Surfaces CAGD Ofir Weber 1 Spline Surfaces Spline Surfaces Why use them? Smooth Good for modeling - easy to control Compact (complex objects are represented by less numbers) Flexibility (different

677 views • 38 slides

Normal and minimal surfaces The correspondence between normal surfaces and minimal surfaces has

Normal and minimal surfaces The correspondence between normal surfaces and minimal surfaces has more applications. It can be used to investigate classical problems in Differential Geometry. Classical Isoperimetric Inequality: A curve in R 2

1.14k views • 79 slides

CMSC427 Parametric surfaces (and alternatives) Generating surfaces From equations From

CMSC427 Parametric surfaces (and alternatives) Generating surfaces From equations From data From curves Extrusion Straight Along path Lathing (rotation) Lofting 2 Constructive Solid Geometry (CSG)

1.11k views • 41 slides

A Study of the Transition Between Metastable States of Droplets on Superhydrophobic Surfaces

Outline Background Pillared Surfaces Chemically Structured Surfaces Conclusions and Future Work A Study of the Transition Between Metastable States of Droplets on Superhydrophobic Surfaces Kellen Petersen Department of Mathematics Courant

1.07k views • 104 slides

From K 3 Surfaces to Noncongruence Modular Forms Explicit Methods for Modularity of K 3 Surfaces

From K 3 Surfaces to Noncongruence Modular Forms Explicit Methods for Modularity of K 3 Surfaces and Other Higher Weight Motives ICERM October 19, 2015 Winnie Li Pennsylvania State University 1 A K 3 surface with rank 20 There are thirteen

389 views • 22 slides

RIGIDITY OF POL YHEDRAL SURFACES (VARIATIONAL PRINCIPLES ON TRIANGULATED SURFACES) Feng Luo

RIGIDITY OF POL YHEDRAL SURFACES (VARIATIONAL PRINCIPLES ON TRIANGULATED SURFACES) Feng Luo Rutgers University Discrete Differential Geometry Berlin, July 19, 2007 SCHLAEFLI FORMULA (1853) V/x ij = -l ij /2 e i =-1 (1814-1895)

899 views • 54 slides

Surfaces in the space of surfaces Theorem (Shah, Ratner) The closure of f( H 2 ) is a compact,

Planes in hyperbolic manifolds f : H 2 M n = H n / Surfaces in the space of surfaces Theorem (Shah, Ratner) The closure of f( H 2 ) is a compact, immersed, totally geodesic submanifold N k inside M n. Curtis McMullen Harvard University

355 views • 8 slides

I have no actual I have no actual or potential or potential confli conflict of interest in

10/17/2017 Denise L. Davis, MD, FAACH Clinical Professor of Medicine UCSF Associate Director for Faculty Development SFVAMC Center of Excellence in Primary Care Education I have no actual I have no actual or potential or potential confli

412 views • 18 slides

Minimal and normal surfaces There is a correspondence between the theory of minimal surfaces in

Minimal and normal surfaces There is a correspondence between the theory of minimal surfaces in differential geometry and the theory of normal surfaces. We will explore the correspondence and use it to derive: Problem : 3-SPHERE RECOGNITION

1.36k views • 77 slides

BEZIER SURFACES 1 OUTLINE Quadratic Bezier Surfaces Cubic Bezier Surfaces 2 DE

BEZIER SURFACES 1 OUTLINE Quadratic Bezier Surfaces Cubic Bezier Surfaces 2 DE CASTELJAU RECURSION REVISITED l 0 =p 0 , r 3 =p 3 l 1 =1/2(p 0 +p 1 ), r 2 =1/2(p 2 +p 3 ) l 2 =1/2(l 1 +1/2(p 1 +p 2 )), r 1 =1/2(r 2

315 views • 20 slides

SURFACES SURFACES A specialty division of FORM inc. offering custom cut to size, finished

SURFACES SURFACES A specialty division of FORM inc. offering custom cut to size, finished products. - Quartz color match - Natural Stone granite, marble, quartzite, onyx - Companion Vanity Bases, Cabinetry - Shower Doors custom

182 views • 5 slides

Interactive Surfaces Interactive Surfaces Referent: Xiaoping Yin Supervisor: Marc Langheinrich

Interactive Surfaces Interactive Surfaces Referent: Xiaoping Yin Supervisor: Marc Langheinrich 03/05/2005 Further more.. Further more.. Challenge Project Examples Existing Products Outlook Seminar: Distributed Systems --

568 views • 19 slides

Restricted Voronoi Diagrams for (re)meshing Surfaces and Volumes Curves and Surfaces 2014 Bruno

Mathmatiques - Informatique Restricted Voronoi Diagrams for (re)meshing Surfaces and Volumes Curves and Surfaces 2014 Bruno Lvy ALICE Gomtrie & Lumire CENTRE INRIA Nancy Grand-Est OVERVIEW Part. 1. Introduction Motivations The

1.64k views • 136 slides

Type changes of spacelike maximal surfaces in Minkowski 3-space to timelike surfaces 8th

Type changes of spacelike maximal surfaces in Minkowski 3-space to timelike surfaces 8th International Meeting on Lorentzian Geometry, M alaga Kotaro Yamada Tokyo Institute of Technology kotaro@math.titech.ac.jp 23. Sept. 2016 K. Yamada

971 views • 47 slides

Provably Good Implicit MLS Surfaces Nikola Milosavljevic CS 468, Fall 2005 Implicit MLS Surfaces

Provably Good Implicit MLS Surfaces Nikola Milosavljevic CS 468, Fall 2005 Implicit MLS Surfaces Zero-level-set of a function I ( x ) over R 3 x 0 Fixed points of a projection x 2 operator x 1 Weighted sum of signed distances x 3 x

430 views • 27 slides

QUADRIC SURFACES MATH 200 MAIN QUESTIONS FOR TODAY What are some of the main quadric surfaces

MATH 200 WEEK 3 - FRIDAY QUADRIC SURFACES MATH 200 MAIN QUESTIONS FOR TODAY What are some of the main quadric surfaces ? How do we distinguish between the various quadric surfaces? What is a trace ? Given an equation in x, y,

751 views • 18 slides

Lecture 25: Surfaces Scanning Tunneling Microscope Special Presentation Today by Prof. Raffi

Lecture 25: Surfaces Scanning Tunneling Microscope Special Presentation Today by Prof. Raffi BUdakian On Magnetic Resonance Force Microscopy Physics 460 F 2006 Lect 25 1 Outline Surfaces of crystals Example surfaces of

704 views • 20 slides

K3 surfaces and lattice Theory ( 2014 )

K3 surfaces and lattice Theory ( 2014 ) Ichiro Shimada (Hiroshima University) Abstract In this talk, we explain how to use the lattice theory and computer in the study of K 3 surfaces.

282 views • 11 slides

Implicit Surfaces Implicit Surfaces An implicit surface is simply an iso-contour CIS 781 of a

Implicit Surfaces Implicit Surfaces An implicit surface is simply an iso-contour CIS 781 of a scalar function f(x,y,z)=0 . Roger Crawfis The term is usually used when modeling a surface, whereas iso-contour is used when visualizing a

388 views • 12 slides

1 Properties of Bzier Curves Important Algorithms for Bzier Curves Affine invariance Convex

Topics Parametric curves and surfaces Polynomial curves Advanced Modeling 2 Rational curves Katja Bhler, Andrej Varchola, Eduard Tensor product surfaces Grller Triangular surfaces Institute of Computer Graphics and Algorithms Vienna

78 views • 6 slides

Minimal surfaces by way of complex analysis Franc Forstneri c ICTP, Trieste 7 December 2018

Minimal surfaces by way of complex analysis Franc Forstneri c ICTP, Trieste 7 December 2018 From Eulers surfaces of rotation... 1744 Euler A minimal surface is one that locally minimizes area among all nearby surfaces with the same

778 views • 32 slides