Question

Advantages and disadvantages of dimensional analysis

Answer 1

Hy frnd ... your answer is:-

Advantages:-

*.Conversion from one units to another
*.Preliminary testfor validity of equation
*.Correlation of various parameters in an experiment to understand the relationship between them to form an empirical relationship. (Buckingham phi theorem
*.Defining dimentionless constants or units that wouldmake 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 fromlarge number of experiments may still be indecisive.
*.Limited in case of trigonometricor exponential solutions.
*.Impractical for correlation of more than threeparameters.
*.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 thecorrelation.
I think it will help you ....

Answer 2

Advantages of dimensional analysis are :

• It helps in maintaining the consistency of the equation and helps in testing the correctness of the equation.
• It helps in deriving the relationship between different physical quantities.
• It helps in getting the dimension of unknown physical quantities.

Disadvantages of dimensional analysis are:

• It cannot confirm the validity of the equation written.
• It cannot define the nature of the physical quantities used.
• The addition and subtraction of parameters aren't getting reflected in this analysis.

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