(a) Estimate the velocity and mass flow rate by B.E. (b) What is the force tending to tear the nozzle off the pipe?

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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Answers- a) V1= 19.9 ft/ s; V2 = 79.7 ft/ s; m = 103.4 lbm/s

b)F=288 lbf

### Problem 7.11

A nozzle is attached to a pipe by a flanged joint as shown in Figure 7.29. The fluid flowing through is water. The cross-sectional area perpendicular to the flow is:

- At Point 1: 12 in²
- At Point 2: 3 in² 

At Point 2, the flow is open to the atmosphere. The pressure at Point 1 is approximately 40 psig.

#### Tasks:

(a) **Estimate the Velocity and Mass Flow Rate Using Bernoulli's Equation:**

Using Bernoulli’s equation, calculate the velocity of the fluid at Points 1 and 2, and determine the corresponding mass flow rate.

(b) **Determine the Force Tending to Tear the Nozzle Off the Pipe:**

Calculate the force exerted on the nozzle due to the fluid flow, which tends to separate the nozzle from the pipe.

### Figure 7.29: Nozzle Attached to Pipe

This figure shows water flowing through a pipe into a nozzle. The pipe is connected to the nozzle, and the flow direction is from left to right. The nozzle reduces in cross-section, leading to an increase in flow speed. The points of interest are marked as 1 and 2: 

- **Point 1**: The beginning of the nozzle where water initially flows from the pipe.
- **Point 2**: The exit of the nozzle where water is discharged into the atmosphere.

An axis is provided indicating the positive x-direction towards the right side, aligning with the flow direction.
Transcribed Image Text:### Problem 7.11 A nozzle is attached to a pipe by a flanged joint as shown in Figure 7.29. The fluid flowing through is water. The cross-sectional area perpendicular to the flow is: - At Point 1: 12 in² - At Point 2: 3 in² At Point 2, the flow is open to the atmosphere. The pressure at Point 1 is approximately 40 psig. #### Tasks: (a) **Estimate the Velocity and Mass Flow Rate Using Bernoulli's Equation:** Using Bernoulli’s equation, calculate the velocity of the fluid at Points 1 and 2, and determine the corresponding mass flow rate. (b) **Determine the Force Tending to Tear the Nozzle Off the Pipe:** Calculate the force exerted on the nozzle due to the fluid flow, which tends to separate the nozzle from the pipe. ### Figure 7.29: Nozzle Attached to Pipe This figure shows water flowing through a pipe into a nozzle. The pipe is connected to the nozzle, and the flow direction is from left to right. The nozzle reduces in cross-section, leading to an increase in flow speed. The points of interest are marked as 1 and 2: - **Point 1**: The beginning of the nozzle where water initially flows from the pipe. - **Point 2**: The exit of the nozzle where water is discharged into the atmosphere. An axis is provided indicating the positive x-direction towards the right side, aligning with the flow direction.
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