VIPSolutions)| Question, FE Quetin3 15 dl Vib ri of ap sit oro el mer Ref ode ma | vo econ site. Yo co ane the ch os pal (TE ul Tei cite ha te of Bod ce 1 crea kes nk moe orodto cube tn he ran bod wo ar of mgd dn sh od rd ot? A, Gry oe 10 Ag 2 Weyer 10° Pa. i Ee —— oi srsi a | owismeswe Ee | ow ses PRET Fama wil
Question:
)| Question, FE
Quetin3 15 dl
Vib ri of ap sit oro el mer Ref ode ma |
vo econ site. Yo co ane the ch os pal (TE ul
Tei cite ha te of Bod ce 1 crea kes nk
moe orodto cube tn he ran bod wo ar of mgd dn
sh od rd ot? A, Gry oe 10 Ag 2
Weyer 10° Pa. i
Ee ——
oi srsi a
| owismeswe Ee
| ow ses PRET
Fama wil
This is AI generated Response.
Asked by: Sahab Sharan
Created at: 2025-10-22 18:27:51
Asked by: Sahab Sharan
Created at: 2025-10-22 18:27:51
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Let's analyze the problem step by step:
### Given Data:
- Reynolds number \( Re \) estimate for blood flow in a small blood vessel.
- Blood flow characteristics:
- Typical size of blood cell: about **7 μm** (or \( 7 \times 10^{-6} \) m)
- Blood density \( \rho \): approximately **\( 10^3 \, \text{kg/m}^3 \)**
- Blood viscosity \( \mu \): about **\( 3 \times 10^{-3} \, \text{Pa·s} \)**
- Blood velocity \( v \): approximately **.1 m/s**
### Reynolds number formula:
\[
Re = \frac{\rho v d}{\mu}
\]
### Calculation:
\[
Re = \frac{(10^3)(.1)(7 \times 10^{-6})}{3 \times 10^{-3}}
\]
\[
Re = \frac{(10^3)(.1)(7 \times 10^{-6})}{3 \times 10^{-3}} = \frac{(100)(7 \times 10^{-6})}{3 \times 10^{-3}}
\]
\[
Re = \frac{700 \times 10^{-6}}{3 \times 10^{-3}} = \frac{7 \times 10^{-4}}{3 \times 10^{-3}} \approx .233
\]
### Conclusion:
Since \( Re \approx .23 \), it falls into the range:
\[
\boxed{Re < 10^{-3}}
\]
### **Answer:**
**\( \boxed{Re < 10^{-3}} \)**
This corresponds to the first option in the multiple-choice answers.
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