DIMENSIONAL ANALYSIS
Number Equation Significance |
Reynolds No. Flow in closed conduit pipe Froude No. where a free surface is present, structure |
Reynolds Model Law :
(i) Velocity ratio
(ii) Time ratio
(iii) Acceleration ratio,
(iv) Force ratio
(v) Power ratio
(vi) Discharge ratio
Applications of Reynold’s Model Law :-
Froude’s Model law :
(i) (Fr)prototype = (Fr)model
Vp / √ gp Lp = Vm / √ gm Lp
It the place of model and prototype is same, then gm = gp
Vr = √Lr
(ii) Time scale ratio
Tr = √ Lr
(iii) Acceleration scale ratio
ar = 1
(iv) Discharge scale ratio
Qr = Lr5/2
(v) Force scale ratio
Fr = ρp / ρm x (Lp / Lm)2 x (Vp / Vm)2
If the fluid used in model and prototype is same, then
Fr = Lr3
(vi) Pressure scale ratio
Pr = Lr
Applications :
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1. What is dimensional analysis in mechanical engineering? |
2. How is dimensional analysis applied in mechanical engineering? |
3. Can dimensional analysis be used to solve complex mechanical engineering problems? |
4. What are the advantages of using dimensional analysis in mechanical engineering? |
5. Are there any limitations or assumptions associated with dimensional analysis in mechanical engineering? |
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