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Transcript
Reynolds Number (Re) • Viscosity: resistance of a liquid to change of form. • Inertia: resistance of an object (body) to a change in its state of motion. • These two forces together influences an organism’s ability to move in water and how water flows. • The ratio of inertial force to viscous force is Re. Fi SU U l Fv SU l 2 • U = velocity of object relative to the fluid; l = object length; S = surface area; µ = dynamic viscosity; p = density • High Re values are associated with dense, fast and long (streamline) objects. • Low Re values are associate with small and slow objects, particularly those with a high surface to volume (S:V) ratio. • The Y-axis below could be switched from velocity to body size (length) a similar trend would be seen. Plankton Viscosity Nekton Inertia Molecular Diffusion: • Water molecules move constantly in a vibrating fashion, called Brownian Motion. • Browning Motion is increased by increased temperature. • Solutes in water also experience Brownian Motion. • Molecular diffusion it that solely due to solute and solvent Brownian Motion (expressed as the diffusion coefficient at a given temperature; D) and the solute concentration gradient between two locations. • The rate of molecular diffusion (J) is expressed by Fick’s Law. • Small organisms at low Re are dependent on molecular diffusion. C1 C2 J D x1 x2 Laminar versus Turbulent Flow • Laminar flow is unidirectional, turbulent flow is more chaotic. Laminar Flow Turbulent Flow • At larger spatial scales flow is often turbulent. Eddies may form. Solute diffusion becomes dominated by eddy transport for water parcels, not solely molecular diffusion. • At smaller spatial scales flow is more often laminar, due to the viscous force dampening turbulence. • Flow across a surface experience a viscous (frictional) force and becomes more laminar. • The transition between turbulent and laminar flow is called the flow boundary layer. Flow Boundary Layer Thickness: • It ↓ with ↑ velocity. • It ↓ with ↓ surface roughness. • It ↓ with ↓ object size. • It ↓ with ↓ distance from the upstream edge. Relationships between Re and flow type. • For any given object; lower Re will translate to more laminar flow. • Re is lower when velocity decreases. • Flow is more laminar at higher Re when the object is streamline (long). Colonial Diatom Water Movement: Convection vs Wind Waves Convection currents (grey colder) create shear instability that leads to turbulent mixing. Wind’s shear across surface water creates waves, whose force propagates with depth, moving water in smaller orbital paths creating turbulence. Stronger, longer blowing winds will create larger waves and deeper mixing.