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(aa)The mean velocity, um (ab)The Reynolds number Re, hence verifying that the flow is laminar. (ac)The maximum velocity, umax dp| | (ad)The pressure drop per unit length, (ae)The wall shear stress, tw (af) The Fanning friction factor, fr dz

(aa)The mean velocity, um (ab)The Reynolds number Re, hence verifying that the flow is laminar. (ac)The maximum velocity, umax dp| | (ad)The pressure drop per unit length, (ae)The wall shear stress, tw (af) The Fanning friction factor, fr dz

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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### Problem Statement #### Part (a) A polymer with a density \( \rho = 0.85 \, \text{g/cm}^3 \) and viscosity \( \mu = 230 \, \text{cP} \) flows at a rate \( Q = 1,560 \, \text{cm}^3/\text{s} \) in a horizontal pipe with a diameter of 15 cm. Evaluate the following, all in CGS units: 1. **The mean velocity, \( u_m \)** 2. **The Reynolds number, \( \text{Re} \), verifying that the flow is laminar.** 3. **The maximum velocity, \( u_{\text{max}} \)** 4. **The pressure drop per unit length, \( -\frac{dp}{dz} \)** 5. **The wall shear stress, \( \tau_w \)** 6. **The Fanning friction factor, \( f_F \)** 7. **The frictional dissipation \( \mathcal{F} \) for 100 cm of pipe.** ### Explanation The image contains a detailed physics problem related to fluid flow in a pipe. It requires evaluating several properties of the flow using the given data and formulas. The context is based on ideal fluid dynamics scenarios, focusing on calculating values pertinent to pipe flow, particularly in CGS (centimeter-gram-second) units.
Transcribed Image Text:### Problem Statement #### Part (a) A polymer with a density \( \rho = 0.85 \, \text{g/cm}^3 \) and viscosity \( \mu = 230 \, \text{cP} \) flows at a rate \( Q = 1,560 \, \text{cm}^3/\text{s} \) in a horizontal pipe with a diameter of 15 cm. Evaluate the following, all in CGS units: 1. **The mean velocity, \( u_m \)** 2. **The Reynolds number, \( \text{Re} \), verifying that the flow is laminar.** 3. **The maximum velocity, \( u_{\text{max}} \)** 4. **The pressure drop per unit length, \( -\frac{dp}{dz} \)** 5. **The wall shear stress, \( \tau_w \)** 6. **The Fanning friction factor, \( f_F \)** 7. **The frictional dissipation \( \mathcal{F} \) for 100 cm of pipe.** ### Explanation The image contains a detailed physics problem related to fluid flow in a pipe. It requires evaluating several properties of the flow using the given data and formulas. The context is based on ideal fluid dynamics scenarios, focusing on calculating values pertinent to pipe flow, particularly in CGS (centimeter-gram-second) units.
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