for your viscosity equation, can u show me how u derived that? the only equatios i know are these.  plz let me know if are using additional equations

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
icon
Related questions
Question
100%

for your viscosity equation, can u show me how u derived that?

the only equatios i know are these. 

plz let me know if are using additional equations 

The image contains two mathematical equations related to fluid dynamics:

1. **Equation for Flow Rate**:
   \[
   Q = \frac{\pi}{4} D^2 V_1
   \]
   This equation calculates the flow rate (\(Q\)) as a product of the cross-sectional area (represented by \(\frac{\pi}{4} D^2\)) and the velocity (\(V_1\)) of the fluid.

2. **Equation for Pressure Drop**:
   \[
   \mathcal{F} = \frac{-\Delta P}{\rho} = Q \Delta x \frac{\mu}{\rho} \frac{128}{\pi D_0^4}
   \]
   This equation represents the relationship between the pressure drop (\(-\Delta P\)), the density (\(\rho\)), and other factors, including flow rate (\(Q\)), change in position (\(\Delta x\)), and dynamic viscosity (\(\mu\)). The equation shows how these variables interact with geometric parameters like diameter (\(D_0\)).

Equation 6.11 is indicated on the side, suggesting it is a part of a series of related equations in a textbook or educational material.
Transcribed Image Text:The image contains two mathematical equations related to fluid dynamics: 1. **Equation for Flow Rate**: \[ Q = \frac{\pi}{4} D^2 V_1 \] This equation calculates the flow rate (\(Q\)) as a product of the cross-sectional area (represented by \(\frac{\pi}{4} D^2\)) and the velocity (\(V_1\)) of the fluid. 2. **Equation for Pressure Drop**: \[ \mathcal{F} = \frac{-\Delta P}{\rho} = Q \Delta x \frac{\mu}{\rho} \frac{128}{\pi D_0^4} \] This equation represents the relationship between the pressure drop (\(-\Delta P\)), the density (\(\rho\)), and other factors, including flow rate (\(Q\)), change in position (\(\Delta x\)), and dynamic viscosity (\(\mu\)). The equation shows how these variables interact with geometric parameters like diameter (\(D_0\)). Equation 6.11 is indicated on the side, suggesting it is a part of a series of related equations in a textbook or educational material.
Expert Solution
Step 1

Data is given as:-

Q=π4D2V1-Pρ=Qxμρ128π D04

Derive the equation,

μ=ρg(z)π D4128Qx

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The