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Microfluidic electrokinetics

Microfluidic electrokinetics

Microfluidic electrokinetics. PhD. Student: Anne Benneker Phone: +31-53-4892962 Thesis a dvisor: Prof. dr. ir. R.G.H. Lammertink E-mail : a.m.benneker@utwente.nl Supervisor: Dr. P.A. Tsai URL: http ://www.utwente.nl/tnw/sfi/ Research group: UT-SFI Research school: JMBC

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Fluid Flow

Fluid Flow

Fluid Flow. Streamline. Motion studies the paths of objects. Fluids motion studies many paths at once. The path of a single atom in the fluid is called a streamline. Flow Rate. Streamlines can be grouped together. This corresponds to the fluid flow through an area.

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Fluid Flow

Fluid Flow

Fluid Flow. Pressure, momentum flux and viscosity. How can we attack this problem? (1) Define viscosity. Viscosity-fluid property that influences the rate of fluid flow under stress. y. The viscosity is the ratio between the shear stress and the velocity gradient between the plates, or .

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Fluid Flow

Fluid Flow

Fluid Flow. Daniel Bernoulli. 1700 – 1782 Swiss physicist and mathematician. Wrote Hydrodynamica. Also did work that was the beginning of the kinetic theory of gases. Equation of Continuity. A 1 u 1 = A 2 u 2

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Fluid Flow

Fluid Flow

Fluid Flow. Pressure Force. Each volume element in a fluid is subject to force due to pressure. Assume a rectangular box Pressure force density is the gradient of pressure. d V. d z. d y. p. d x. Equation of Motion. A fluid element may be subject to an external force.

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Fluid Flow

Fluid Flow

Fluid Flow. conservation and continuity. § 12.4. Volume Flow Rate. Volume per time through an imaginary surface perpendicular to the velocity. dV / dt. units: m 3 /s. Volume Flow Rate. dV / dt = v · A if v is constant over A. = ∫ v · d A if it is not. dm. dm. =. dt. dt. 1.

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Fluid flow

Fluid flow

Fluid flow. A fluid is a substance that flows When subjected to a shearing stress layers of the fluid slide relative to each other Both gases and liquids are defined as fluids.

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Fluid Properties

Fluid Properties

Fluid Properties. Chapter 16 Section 2. What is a Fluid?. Fluid: any matter that can flow Flow: movement of the matter The matter does not have a definite shape. Density. Density is the mass in a given volume As an equation: ρ = m/V

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FLUID PROPERTIES

FLUID PROPERTIES

FLUID PROPERTIES. Independent variables. SCALARS. VECTORS. TENSORS. , w. REFERENCE FRAME. , v. , u. SCALARS. Need a single number to represent them: P , T , ρ. besttofind.com. Temperature. May vary in any dimension x , y , z , t. www.physicalgeography.net/fundamentals/7d.html.

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Fluid Properties

Fluid Properties

Fluid Properties. John Bobbitt Mar 23, 2006. Background. ExxonMobil implemented an XML schema solution for uniformly transferring fluid property lab reports. In 2004, ExxonMobil asked POSC to evolve their work into industry standards.

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Fluid Flow: Unsteady Flow

Fluid Flow: Unsteady Flow

Fluid Flow: Unsteady Flow. Objectives. Section 5 – Fluid Flow Module 5 : Unsteady Flow Page 2. Understand unsteady flow. Examine the unsteady form of the Navier–Stokes Equation. S tudy the Courant Number for unsteady flow. Learn from an example : Unsteady flow p ast a cylinder.

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