Forces Flashcards

1
Q

Shrinking length –>

A
  • Surface-to-volume ration (S/V)

- relative strength of external forces are not intuitive

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2
Q

Example - S/V

A

Example

  • Small mammals - heat loss L^2, heat generation (through eating) is L^3
  • Capillary tubes: weight scales L^3 and surface tension L^1
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3
Q

S/V

A
  • Higher for smaller obj. (think about the cubes)
  • mass become smaller:
  • -> inertial effects become less important ( change velocity quickly, resonant freq. (självsvängning/oscillation) go very high)
  • -> gravity = less important
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4
Q

Thermal effects

A
  • Energy required to heat a volume ~ L^3
  • Heat transfer through surface ~ L^2
  • Time for thermal eq. in a system ~ L^2 (Biot number describes uniformity of temperature inside body)
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5
Q

Thermal microgripper

A

Lower thermal budget:

  • Small thermal mass –> consume less power
  • Switch on and off much faster (velocity change)
  • Biot numb. is smaller –> does not crack that easily
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6
Q

Mechanical effects vs. mass sensing resonators

A
  • small changes in mass –> detectable changes in resonant freq.
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7
Q

Electrostatics (hur elektrisk laddningar påverkar varandra)

A
  • Many micro- and nanoactuators are electrostatics.
  • Long range interactions, much stronger than most other non-bonded interactions (gravitational)
  • Easy to be induced by ionization or polarization
  • Decays much slowly than other interactions

Q ~ L^2
Voltage V ~ L^1
Force F ~ L^2

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8
Q

Magnetics

A
  • Magnetic forces btw current carrying wires: F ~ L^4
  • Force of a magnet on a current carrying wire: F~ L^3
  • Torque between two magnets ~ L^3
  • Force between two magnets ~ L^2
  • Force/weight required to lift an obj against gravity ~ L^-1 (smaller mass higher force/weight)
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9
Q

Chemistry

A
  • Most chemical reactions are surface reactions

- Higher efficiency with larger S/V ratio (smaller mass -> higher efficiency)

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10
Q

Power

A
  • Onboard power (battery, combustion engine) is bad: power scales ~ L –> cannot provide enough power
  • Alternative: light, heat, electric field, magnetic field, chemical reaction
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11
Q

Contact Methods 6st

A
  1. Roughness change - Van der Waals
  2. Surface tension
  3. Vacuum - FluidFM (underpressure at the tip to pick up cells)
  4. Eletrostatic - nanomanipulator
  5. Conventional pick-up + adherence reduction
  6. Impulsive
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12
Q

Electromagnetic force

A
  • Force between charges and/or magnetised matter - (proton/positive charged attracts to electron/negative charged and repulses to same charges)
  • Force proportional to the product of the charges q1, q2 (along the lines joining them)
  • and inversiely proportional to the square of the distance
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13
Q

eletromagnetic forces at atomic scale (7)

A

ionic bond (NaCl) - electron donation
metallic bond (bulk iron)
covalent bond (diamond) - “electron sharing, H_2”
van der waals forces
hydrophobicity
hydrogen bond
solvation forces (interaction btw ionized and uncharged molecules)

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14
Q

Van der Waals interaction

A
  • is a result of electron charge distribution of the two atoms
  • are relatively weak
  • interaction btw atoms, molecules and surfaces

Atoms with permanent dipoles:

  • dipole-dipole interaction (potential energy ~ r^-3)
  • dipole-induced dipole (pot. energy ~ r^-5)

Atoms without permanent dipoles:

  • Transient charge distribution induces complementary charge distribution (pot. energy ~ r^-6)
  • Repulsion btw two atom when they apporach each other die to overlapping electron clouds (pot. energy ~ r^-12)
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15
Q

Surface tension

A
  • cause by the cohesive forces within a liquid (attraction btw molecules by various intermolecular forces)
  • Inside liquid = equilibrium, at the surface:
    1. repulsive forces: thermokinetic energy
    2. cohesive forces: wan der waals forces
    3. cohesive forces: polar forces
  • “Cohesion tries to minimize the surface area”
  • Surface tension force: parallell to the surface and perpendicular to the contact line
  • Low surface tension –> high adhesive force (water) –> capillar effect (h = larger/positive)
  • High surface tension –> high cohesive force (Hg) compare to the adhesive forces–> interface pushed down, similar to droplet formation on
    surface.

Controlling the surface tension

  • electrowetting - change of ST with electronic polarization of the surface
  • Termocapillary effect - ST depends on the temperature. Increasing ST towards colder regions
  • Hydrophilization induces polarity on the surface - Plasma activation (surface reactions with reactive molecules). Coating with hydrophilic materials
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16
Q

Cohesive and adhesive forces

A
  • Cohesive forces (surface tension) try to minimize surface area and form a sphere
  • Adhesive forces (btw liquid and surface) pull the liquid down and flatten the drop
17
Q

Hydrophobic vs hydrophilic

A

Hydrophobic - large contact angle, low adhesive (more cohesive forces)

Hydrophilic - low contact angle, high adhesive, surface is easily wetted

18
Q

Bond number, B0

A
  • The importance of gravity to surface tension
  • Lower B0 -> surface tension dominate, microfluids r –> small B0
  • Hydrophilic micro-channel fills easily
  • Hydrophobic micro-channel fills difficulty but empty easily
19
Q

Magnetic field

A

=> Moving electrical charges

  • When a field is generated in a volume space –> change in energy of that volume
  • -> magnetization will min the total energy of the material:
  • energy exchange btw spins of närliggande/adjacents atom
  • anisotropy energies (directionally energy)
  • zeeman energy (potential energy of the magnetized body in an external field
  • The effect of magnetic field can be detected by:
    acceleration of an electric charge moving in the field
    the force of an current-carrying conductor
    force and torque on a magnetic dipole
20
Q

Diamagnetic, paramagnetic, ferromagnetic

A
  • no unpaired electrons, tiny attenuation of external field
  • small #unpaired e-, small intensification
  • large # unpaired e- –> large intensification, some can retain magnetic field (permanent magnet

Ferrormagnetic material in a strong magnetic field:
- SATURATION - when all the domain wall are reoriented parallell to the applied field –> net field is generated. When saturation, increasing the applied field has no more effect, the field is “mättnad”

21
Q

soft and hard magnetic material

A
  • In soft magnetic material (<1000A/m), the domain walls will again reorient at random orientation when the external field is removed.
  • the influence of the field and the body shape must be taken into account
  • M for soft material is depending on the internal field
  • in hard magnetic material, the domain wall will remain reoriented = permanent magnet
  • once magnetized (permanent) M will stay constant and independent of H
22
Q

The Hysteresis Loop (B-H or M-H diagram)

A

H - internal field/magnetizing force (x-axis)
B - Flux density (y-axis) = my_0 *(H+M)
M - Magnetization (vector field)

  • Change of H –> determine the hardness or softness of the material: harder magnetic material <=> higher coercivity
  • Saturation: M will stay constant, B will increase linearly with H
  • Strong permanent magnet: high remanence
  • Memory storage: high coercivity (stability) and remanence (SNR)
  • Transformers: soft with small hysteresis loop (energy loss in AC)
  • Electromagnet: soft (linear behavior), high permeability and saturation (amplification)
23
Q

Anisotropy energies

A
  • Try to align the magnetization vector in a given direction
  • SHAPE ANISOTROPY: interaction btw the dipoles in the material and tries to align the magnetisation along the geometry of the body
  • Higher anisotropy => higher demagnetizing factor, N
  • Epsilon case: M will lies between the easy axis (along the body) and the applied field. Higher anisotropy compare to the applied field–> M is closer to easy axis. Higher field strength –> M is closer to the H field.
  • if the magnet were free to move, the torque would act to eventually align the easy axis and H.
  • if M align to easy axis = Torque, perpendicular to M and H => no driving torque
  • If H and M are aligned => the torque is vanished, the force is MAX.
  • force will be vanished when: the field is constant along the magnetization direction, M is perpencidular to the spatial derivative of H in that directiion
    (- if M is perpendicular to easy axis (swimming direction): driving torque around z-axis. Max torque when H_x is 90° from M => when M is perpendic. with the easy axis and the applied field H, it gives the max driving torque) = permanent magnet
    (-depends on its internal field and the torque relationship is nonlinear) = soft magnet