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Outline of Presentation
• Fundamentals of paper microfluidics - Flow Equations
• Equation of flow for constant width channels
• Equation of flow for paper of arbitrary cross section
• Effect of evaporation
• Effect of relative humidity
• History of Paper Based Diagnostics
• Lateral Flow Assay – construction, components and principle
• Hepatitis A and E
• Literature Review
• Research Gaps
• Objective and Detection Strategy
• Methodology
• References
Fundamentals of paper microfluidics - Flow Equations
• Paper wet out -
Constant-width
channels [1], [2]
• 𝐿 =
𝛾𝐷𝑐𝑜𝑠(𝜃)
4𝜇
𝑡
• L - fluid front
• D- average pore
diameter
•  - effective surface
tension
• μ - the viscosity
• θ - the capillary
contact angle
• Paper wet out -
constricted flow
• two connected
channels with different
widths
• the narrower channel
comes first
• non-limiting fluid-
reservoir assumption
violated
• Paper wet out –
abundant flow
• fluid migrates through
a wide channel into a
narrower one
• change in channel
width does not affect
the flow rate
Fundamentals of paper microfluidics - Flow Equations
• Fully wetted Flow - constant
width channels [3]
• 𝑄 = −
𝑊𝐻
𝜇𝐿
∆𝑝
• Q - volumetric flow rate
• μ - viscosity of the fluid
• - permeability of the paper
• WH - area of the channel
perpendicular to flow
• Δp - pressure difference along the
flow direction
• L – length of channel
• 𝑡 =
𝑉
𝑄
=
𝑉𝜇𝐿
𝑊𝐻∆𝑝
=
𝜇𝐿2
∆𝑝
• V is the volume of the fluid at
time t.
• Fully wetted Flow - Varying-width channels
[4], [5]
• 𝑄 = −
∆𝑝
𝜇
 𝑖=1
𝑁 𝐿𝑖
𝑊𝑖𝐻𝑖
• WiHi - area of the channel segment perpendicular to flow.
• Li - length of segment i in the direction of flow
• Δp - pressure difference across the length of the channel
• Ohm's law analogy – for volumetric flux - N
segments in series or parallel
• Δp and Q are the fluidic counterparts to voltage
change and current, respectively
• 𝑓𝑙𝑢𝑖𝑑𝑖𝑐 𝑟𝑒𝑠𝑖𝑠𝑡𝑎𝑛𝑐𝑒 =
𝜇𝐿𝑖
𝑊𝑖𝐻𝑖
• In series - total resistance = sum of individual fluidic
resistances;
• In parallel - total resistance = reciprocal of the sum of the
reciprocals of the individual resistances.

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Paper Flow equations_slideshare1.pptx

  • 1. Outline of Presentation • Fundamentals of paper microfluidics - Flow Equations • Equation of flow for constant width channels • Equation of flow for paper of arbitrary cross section • Effect of evaporation • Effect of relative humidity • History of Paper Based Diagnostics • Lateral Flow Assay – construction, components and principle • Hepatitis A and E • Literature Review • Research Gaps • Objective and Detection Strategy • Methodology • References
  • 2. Fundamentals of paper microfluidics - Flow Equations • Paper wet out - Constant-width channels [1], [2] • 𝐿 = 𝛾𝐷𝑐𝑜𝑠(𝜃) 4𝜇 𝑡 • L - fluid front • D- average pore diameter •  - effective surface tension • μ - the viscosity • θ - the capillary contact angle • Paper wet out - constricted flow • two connected channels with different widths • the narrower channel comes first • non-limiting fluid- reservoir assumption violated • Paper wet out – abundant flow • fluid migrates through a wide channel into a narrower one • change in channel width does not affect the flow rate
  • 3. Fundamentals of paper microfluidics - Flow Equations • Fully wetted Flow - constant width channels [3] • 𝑄 = − 𝑊𝐻 𝜇𝐿 ∆𝑝 • Q - volumetric flow rate • μ - viscosity of the fluid • - permeability of the paper • WH - area of the channel perpendicular to flow • Δp - pressure difference along the flow direction • L – length of channel • 𝑡 = 𝑉 𝑄 = 𝑉𝜇𝐿 𝑊𝐻∆𝑝 = 𝜇𝐿2 ∆𝑝 • V is the volume of the fluid at time t. • Fully wetted Flow - Varying-width channels [4], [5] • 𝑄 = − ∆𝑝 𝜇  𝑖=1 𝑁 𝐿𝑖 𝑊𝑖𝐻𝑖 • WiHi - area of the channel segment perpendicular to flow. • Li - length of segment i in the direction of flow • Δp - pressure difference across the length of the channel • Ohm's law analogy – for volumetric flux - N segments in series or parallel • Δp and Q are the fluidic counterparts to voltage change and current, respectively • 𝑓𝑙𝑢𝑖𝑑𝑖𝑐 𝑟𝑒𝑠𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 𝜇𝐿𝑖 𝑊𝑖𝐻𝑖 • In series - total resistance = sum of individual fluidic resistances; • In parallel - total resistance = reciprocal of the sum of the reciprocals of the individual resistances.

Editor's Notes

  1. 1. THE DYNAMICS OF CAPILLARY FLOW. BY EDWARD W. WASHBURN. 2. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5645195/#c34 (Paper-based assays for urine analysis (nih.gov))
  2. https://pubs.rsc.org/en/content/articlelanding/2013/LC/c3lc50169h#!divAbstract (Paper-based microfluidic point-of-care diagnostic devices - Lab on a Chip (RSC Publishing)) Transport in two-dimensional paper networks PAPER MICROFLUIDICS Applications and perspectives