Consider the temperature field in the above tissue preparation as one-dimensional, rite the W-J equation for the tissue Onoton3 ard an ield. Assume that only one pair of nt artery and vein is embedded in the tissue The artery and vein have the same radius as a, center to center distance as I. Calculate the in tissue thermal conductivity kef using the a: Pb=1050 kg/m³, cb=3800 J/kg °C, /m °C, a=80 µm, u=60 mm/s, l=180 µm, and tional area of the tissue preparation is about 12 y 12 mm). Make sure to convert all the Replace boods by using kaffrather than t Quadon 3 their values in SI unit. Use the 1-D model of keff for the calculation (see lecture ils). Hint: n= 1/(12*10%) m².

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**Consider the temperature field in the above tissue preparation as one-dimensional, i.e., \( T_f(z) \). Write the W-J equation for the tissue temperature field. Assume that only one pair of countercurrent artery and vein is embedded in the tissue preparation. The artery and vein have the same radius as \( a \), and a vessel center to center distance as \( l \). Calculate the enhancement in tissue thermal conductivity \( k_{eff} \) using the following data:**

- \(\rho_b=1050 \, \text{kg/m}^3\)
- \(c_b=3800 \, \text{J/kg} \, ^\circ\text{C}\)
- \(k_b=k_t=0.5 \, \text{W/m} \, ^\circ\text{C}\)
- \(a=80 \, \mu\text{m}\)
- \(u=60 \, \text{mm/s}\)
- \(l=180 \, \mu\text{m}\)

The cross-sectional area of the tissue preparation is about 12 \( \text{mm}^2 \) (1 mm by 12 mm). Make sure to convert all the parameters to their values in SI units. Use the 1-D model of \( k_{eff} \) for the calculation (see lecture notes for details). Hint: \( n=1/(12*10^{-6}) \, \text{m}^2 \).

**Diagram Explanation:**

The diagram includes two main parts: 

1. **3D Representation**: A schematic showing the layout of arterial and venous blood vessels within a tissue matrix. The vessels are parallel and embedded within the tissue. The artery and vein are indicated by colored circles (one red, one blue) in a cross-sectional view. This appears on the right side of the diagram, labeled accordingly.

2. **Side View Representation**: This shows the replacement of normal tissue processing by using \( k_{eff} \) rather than \( k_t \). This part of the diagram emphasizes the application of the calculated effective thermal conductivity in enhanced tissue models.

Each part of the diagram matches a question prompt and is labeled for clarity.
Transcribed Image Text:**Consider the temperature field in the above tissue preparation as one-dimensional, i.e., \( T_f(z) \). Write the W-J equation for the tissue temperature field. Assume that only one pair of countercurrent artery and vein is embedded in the tissue preparation. The artery and vein have the same radius as \( a \), and a vessel center to center distance as \( l \). Calculate the enhancement in tissue thermal conductivity \( k_{eff} \) using the following data:** - \(\rho_b=1050 \, \text{kg/m}^3\) - \(c_b=3800 \, \text{J/kg} \, ^\circ\text{C}\) - \(k_b=k_t=0.5 \, \text{W/m} \, ^\circ\text{C}\) - \(a=80 \, \mu\text{m}\) - \(u=60 \, \text{mm/s}\) - \(l=180 \, \mu\text{m}\) The cross-sectional area of the tissue preparation is about 12 \( \text{mm}^2 \) (1 mm by 12 mm). Make sure to convert all the parameters to their values in SI units. Use the 1-D model of \( k_{eff} \) for the calculation (see lecture notes for details). Hint: \( n=1/(12*10^{-6}) \, \text{m}^2 \). **Diagram Explanation:** The diagram includes two main parts: 1. **3D Representation**: A schematic showing the layout of arterial and venous blood vessels within a tissue matrix. The vessels are parallel and embedded within the tissue. The artery and vein are indicated by colored circles (one red, one blue) in a cross-sectional view. This appears on the right side of the diagram, labeled accordingly. 2. **Side View Representation**: This shows the replacement of normal tissue processing by using \( k_{eff} \) rather than \( k_t \). This part of the diagram emphasizes the application of the calculated effective thermal conductivity in enhanced tissue models. Each part of the diagram matches a question prompt and is labeled for clarity.
Expert Solution
Step 1: Introduction

The complex network of organs, blood vessels, and tissues responsible for transporting  oxygen, nutrients, hormones, and waste materials throughout the body is known as the cardiovascular system/circulatory system. It has a double circulation mode, which means it consists of two types of circulation- pulmonary and systemic circulation.

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