We were discussing the basic concept of streamline and equipotential line, dimensional
homogeneity and Buckingham pi theorem in the subject of fluid mechanics, in our recent
posts.
Now we will go ahead to understand the basic differentiate
between model and prototype with the help of this post.
Model, prototype and dimensional analysis
In order to secure the information about the
performance of any hydraulic structure such as dam or any hydraulic machine
such as turbine, before going for construction and manufacturing of actual of
structure or machine, models are prepared of the actual structure or machine
and experiments are carried out on the models to secure the desired result.
If result obtained from the experiment carried out
on the models of actual structure or machine is not achieved as desired, respective
modification will be carried out to secure the desired result.
Let us consider one example of an aircraft. If we
want to design and manufacture one aircraft, first we must have the fundamental
information about the aircraft like drag forces etc.
Various experiments will be
carried out on the aircraft in order to secure all the desired result. If we
want to conduct the experiments on actual aircraft, it will not feasible as it
will be very expensive and not safe also.
So what we will do?
We will prepare one model of the actual aircraft.
Model of the actual aircraft will be in smaller size. We will conduct the
experiments over this model of actual aircraft and we will analyse the result obtained
from the experiment.
If result obtained from the experiment is not as per
requirement, we will do some modification in the design and other parameters of
the model of the actual aircraft.
Once we will secure the desired result from
experiments, we will send this model to production cell and construction and manufacturing
of the actual aircraft will be commenced on the basis of the prepared model of
the actual aircraft.
Therefore we can define the model as the small scale
replica of the actual structure or machine. Actual structure or machine will be
termed as prototype.
We have considered above the case of designing and
manufacturing of an aircraft. We have discussed above that the model of actual
aircraft will be in smaller size as compared to the actual aircraft. But, it is
not always necessary that model will be in smaller size as compared to the
actual structure or machine.
In some cases, model of the machine might be in
larger size as compared to the actual machine.
Let us think the case of designing and manufacturing
of watch. As we know very well that parts used in manufacturing of watch will
be of very small size and it will be very difficult to conduct the experiments and
analyse the results to predict the performance of the watch.
Therefore in this case, model will be prepared of
larger size as compared to the actual size of the watch. After preparing the
correct model, manufacturing of the respective set of watches will be commenced
on the basis of the model.
Therefore, model could be of smaller size or larger
size as compared to the actual machine.
We can define the model analysis as the study of the
models of actual machines.
Advantage of the dimensional and model analysis
Let us see here few advantages of the dimensional
and model analysis
With the help of dimensional and model analysis, we
can easily secure the information about the performance of actual machine or
structure before going for manufacturing of actual machine or structure.
With the help of dimensional and model analysis, we
can also consider the alternative design of actual machine or structure and we
can select most economical and safe design.
With the help of dimensional and model analysis, we
will secure the relationship between variables influencing a flow problem in terms
of dimensionless parameters and this relationship will help in conducting the experiments
on the model.
We will see another important topic in the field of fluid mechanics i.e. similitude and similarity with the help of our next post.
Do you
have any suggestions? Please write in comment box.
Reference:
Fluid mechanics, By R. K. Bansal
Image
Courtesy: Google
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