Description
Return gap-based shear rate and Newtonian stress.
Biological engineering calculations combine supplied geometry, material properties, transport and quantity bases. An ideal channel resistance, scaffold fraction or thermal time scale can be dimensionally consistent without establishing real process conditions, safe exposure or biological performance.
Return gap-based shear rate and Newtonian stress.
When to use this tool
Use Bioreactor Shear Rate Gap Factor when checking the stated benign geometry, transport, phantom or material-basis term.
How to use the tool and how it works
- Enter tangentialSpeed, gap, dynamicViscosity. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read shearRate, shearStress. Use the output convention below.
Return gap-based shear rate and Newtonian stress. Require gap > 0 and viscosity >= 0; shearRate = tangentialSpeed/gap, shearStress = viscosity*shearRate.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| tangentialSpeed | Tangential Speed | Required. Finite number. |
| gap | Signed difference under the stated comparison convention, with matching units. | Required. Finite number; strictly above 0. |
| dynamicViscosity | Nonnegative Newtonian dynamic viscosity; Pa s with SI speed/gap gives stress in Pa. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| shearRate | Shear Rate | Required. Finite number. |
| shearStress | Shear Stress | Required. Finite number. |
{
"input": {
"tangentialSpeed": 2,
"gap": 0.1,
"dynamicViscosity": 0.5
},
"output": {
"shearRate": 20,
"shearStress": 10
}
}Limitations and assumptions
- This uses a local linear-velocity-gradient approximation and signed speed; complex flow, rheology and safe biological exposure are not modeled.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use verified properties, calibration and the complete applicable engineering model; assess actual laboratory/device conditions and biological suitability separately.
References
Similar or alternative tools
- Microfluidic Hydraulic Resistance One Channel
Return approximate hydraulic resistance of one rectangular microchannel.
- Porous Membrane Area Flux Term
Return gross-area and open-pore fluxes.