I need help correcting this part of the following problem, also include step-by-step solutions.Water flows at a rate of 2.4f * t ^ 3 / s in an old, rusty 7.8-in.-diameter pipe that has a relative roughness of 0.010. It is proposed that by inserting a smooth plastic liner with an inside diameter of 7.0 in. into the old pipe as shown in the Figure the pressure drop per mile can be reduced. Is it true that the lined pipe can carry the required 2.4f * t ^ 3 / s at a lower pressure drop than in the old pipe? **Pressure Drop and Pipe Flow**Pressure drop is a function of flow rate and roughness.---**Mean Velocity Calculation for a 7.0-inch Diameter Pipe:**- $ V_0 = 8.93 $ ft/s---**Reynolds Number Calculation for the 7.0-inch Diameter Pipe:**- $ Re = 43300 $---**Friction Factor for the 7.0-inch Diameter Pipe:**- $ f_0 = 0.0134 $---**Pressure Drop Per Mile for the 7.0-inch Diameter Pipe:**- $ \Delta p_0 = 0.0288 $ psi/mile--- Each of these calculations is crucial for determining the flow characteristics and pressure loss in a pipeline system.

Answered: Water flows at a rate of 2.4f * t ^ 3 /…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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I need help correcting this part of the following problem, also include step-by-step solutions.

Water flows at a rate of 2.4f * t ^ 3 / s in an old, rusty 7.8-in.-diameter pipe that has a relative roughness of 0.010. It is proposed that by inserting a smooth plastic liner with an inside diameter of 7.0 in. into the old pipe as shown in the Figure the pressure drop per mile can be reduced. Is it true that the lined pipe can carry the required 2.4f * t ^ 3 / s at a lower pressure drop than in the old pipe?

**Pressure Drop and Pipe Flow**

Pressure drop is a function of flow rate and roughness.

---

**Mean Velocity Calculation for a 7.0-inch Diameter Pipe:**

- $ V_0 = 8.93 $ ft/s

---

**Reynolds Number Calculation for the 7.0-inch Diameter Pipe:**

- $ Re = 43300 $

---

**Friction Factor for the 7.0-inch Diameter Pipe:**

- $ f_0 = 0.0134 $

---

**Pressure Drop Per Mile for the 7.0-inch Diameter Pipe:**

- $ \Delta p_0 = 0.0288 $ psi/mile

---

Each of these calculations is crucial for determining the flow characteristics and pressure loss in a pipeline system.

Expert Solution

Step 1: Determine the given data

Given;

$diameter space of space pipe space left parenthesis straight D right parenthesis equals 7.8 space in equals 7.8 divided by 12 equals 0.65 space ft discharge left parenthesis straight Q right parenthesis equals 2.4 space ft cubed divided by straight s density space of space water left parenthesis straight rho right parenthesis equals 1000 kg divided by straight m cubed equals 62.4 space ft divided by straight s squared K i n e m a t i c space viscosity space of space water left parenthesis nu right parenthesis equals 1.21 cross times 10 to the power of negative 5 end exponent space f t squared divided by s diameter space of space t h e space n e w space pipe space left parenthesis straight D right parenthesis equals 7 space in equals 0.5833 space ft$

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