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Show that the friction heating in a hydraulic jump is given by 8(Z₂-Z₁)³ 42122 (7.67)

Show that the friction heating in a hydraulic jump is given by 8(Z₂-Z₁)³ 42122 (7.67)

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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**Section 7.52** **Objective:** Demonstrate that the friction heating in a hydraulic jump is expressed by the equation: \[ \mathcal{F} = \frac{g(z_2 - z_1)^3}{4z_1z_2} \] *Equation 7.67* This equation represents the relationship between gravitational acceleration \(g\), and the heights \(z_1\) and \(z_2\) at two different points in the hydraulic jump, reflecting the friction-induced thermal energy.
Transcribed Image Text:**Section 7.52** **Objective:** Demonstrate that the friction heating in a hydraulic jump is expressed by the equation: \[ \mathcal{F} = \frac{g(z_2 - z_1)^3}{4z_1z_2} \] *Equation 7.67* This equation represents the relationship between gravitational acceleration \(g\), and the heights \(z_1\) and \(z_2\) at two different points in the hydraulic jump, reflecting the friction-induced thermal energy.
Expert Solution
Step 1: Introduction to Friction Heating in Hydraulics

Friction heating in hydraulic systems occurs when fluid flows through pipes or channels, encountering resistance from the walls of the conduit. This resistance generates heat due to the viscous nature of the fluid, leading to an increase in the fluid's temperature. This phenomenon is crucial to understand as it can impact the performance and safety of hydraulic systems.

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