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Chapter 8: Problem 2

What do the average velocity \(V_{\mathrm{avg}}\) and the mean temperature \(T_{m}\) represent in flow through circular tubes of constant diameter?

Short Answer

Expert verified
Answer: In the context of fluid flow through circular tubes with constant diameter, average velocity represents the average speed of fluid particles in the tube, which helps to analyze flow rates, friction losses, and heat transfer. Mean temperature represents the average temperature of the fluid in the tube, which is crucial for thermodynamic analyses, heat transfer calculations, and determining the overall energy balance. Both average velocity and mean temperature are essential parameters for understanding the flow behavior, heat transfer, and the energy balance of the system in such cases.

Step by step solution

01

Definition of Average Velocity

The average velocity (\(V_{\mathrm{avg}}\)) in fluid flow is the average speed of the fluid particles moving in the tube. This is an essential parameter to understand the flow characteristics such as flow rates, friction losses, and heat transfer. The average velocity can be calculated by dividing the total volumetric flow rate by the cross-sectional area of the tube.
02

Definition of Mean Temperature

The mean temperature (\(T_m\)) in fluid flow represents the average temperature of the fluid within the tube. This parameter is significant for thermodynamic analyses, heat transfer calculations, and determining the overall energy balance in the system. The mean temperature can be calculated by averaging the temperature of the fluid at the inlet and outlet of the tube or by integrating the local temperature over the cross-sectional area and dividing by the area.
03

Relation to Flow in Circular Tubes

In the context of flow through circular tubes of constant diameter, average velocity and mean temperature are important parameters in analyzing the flow behavior, heat transfer, and energy balance of the system. The constant diameter of the tube enables simplification of the calculations and allows for easier analysis of the flow and heat characteristics.

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Most popular questions from this chapter

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