Discuss the advantages of limitations of dimension
Answers
Answer:
Explanation:
Advantages
Conversion from one units to another
Preliminary test for validity of equation
Correlation of various parameters in an experiment to understand the relationship between them to form an empirical relationship.
Defining dimentionless constants or units that would make the physical effect to be studied easier.For e.g. Prandtl number, Reynolds number. This is a major implication of dimentional analysis in highly dynamic systems.
Reducing the number of experiments to be conducted. When a dimentionless quantity is formulated, the combination of experiments required for describing in them will be less when compared to the large number of participant variables in correlation.
Disadvantages
Data from large number of experiments may still be indecisive.
Limited in case of trigonometric or exponential solutions.
Impractical for correlation of more than three parameters.
Addition and subtraction of parameters cannot be reflected on dimentional analysis.
It cannot give the final word on the validity of a relationship.
The analysis cannot understand the nature of constants in the correlation.