Answered: The power demand of a car is analyzed…

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

The power demand of a car is analyzed on the base of model experiments in an air- operated wind tunnel.

For the design of the experiments it is assumed that the power demand mainly depends on the drag resistance of the car.

Dimension Analysis:

On what variables and parameters does the drag force depends which is exerted by the air? Give their dimensions!
How many dimensionless numbers do you expect?
What are the dimensionless numbers which completely describing the problem of drag?

Model Experiment:

In table 1 you find the characteristic length of the real car (D_r) and the model car (D_m), the maximum speed of the real car v_r,max and the drag force F_d,m which has been measured at the model.

Choose the proper model speed to analyse the drag. What principle do you apply to calculate the speed?
The drag force of the model has been measured at the corresponding speed to be 810 N. What is the corresponding drag force of the real car and the power, necessary to overcome this drag?

(power = speed * force)

What will happen when water is chosen as fluid instead of air? What will change compared to the experiments with air?

ρ_water/ ρ_air= 10³, η_water/ η_air = 60

Dr=2 Dm=0.8 Vrmax=50

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