Variable Symbol Dimensions Tube diameter Ꭰ L Fluid density P M/L3 Fluid viscosity μ M/Lt Fluid heat capacity Fluid thermal conductivity Velocity Heat-transfer coefficient Ср Q/MT k Q/tLT > h L/t Q/tL²T

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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Question

For forced convection, the important variables, their symbols, and dimensional representations are

listed below. From the Buckingham method of grouping the variables, the rank of the dimensional matrix is

4. What is the number of independent dimensionless groups in this case? By utilizing the dimensional-

analysis approach, find a dimensionless group. (Show just one dimensionless group you can find)

Variable
Symbol
Dimensions
Tube diameter
Ꭰ
L
Fluid density
P
M/L3
Fluid viscosity
μ
M/Lt
Fluid heat capacity
Fluid thermal conductivity
Velocity
Heat-transfer coefficient
Ср
Q/MT
k
Q/tLT
>
h
L/t
Q/tL²T
Transcribed Image Text:Variable Symbol Dimensions Tube diameter Ꭰ L Fluid density P M/L3 Fluid viscosity μ M/Lt Fluid heat capacity Fluid thermal conductivity Velocity Heat-transfer coefficient Ср Q/MT k Q/tLT > h L/t Q/tL²T
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