Answer:
Step-by-step explanation:
The Reynolds number is used in the Moody Diagram instead of the Froude number for the following reasons:
1)The Moody Diagram is primarily used to analyze and predict the flow characteristics of fluid in pipes, channels, and ducts, which are typically characterized by viscous flow. Reynolds number is a dimensionless quantity that relates the inertial forces to the viscous forces in the flow, making it more appropriate for analyzing such flows.
2)The Reynolds number takes into account the velocity, density, viscosity, and characteristic length scale of the flow, providing a comprehensive measure of flow conditions. In contrast, the Froude number is primarily used to analyze open channel flows and wave behavior, which involve gravity effects and are less relevant to the Moody Diagram's focus on pipe flows.
3)The Moody Diagram is specifically designed to provide information about the frictional losses and pressure drop in pipe flow, which are influenced by the flow regime and surface roughness. Reynolds number, being related to flow regime transitions and turbulent flow behavior, allows for accurate estimation of friction factors and determination of flow characteristics in pipes.
4)The Moody Diagram provides a graphical representation of the relationship between the friction factor (or Darcy-Weisbach friction factor) and the Reynolds number, enabling engineers and researchers to quickly assess and select appropriate pipe sizes, optimize pipe networks, and evaluate energy losses in fluid flow systems.
5)The Moody Diagram has been extensively validated and widely used in fluid mechanics and engineering applications, making it a reliable tool for pipe flow analysis. The inclusion of Reynolds number in the Moody Diagram ensures compatibility and consistency with established principles and empirical correlations related to pipe flow, enhancing its practical utility and relevance in engineering practice.