GATE CE 2015 Set 1 — Question 56
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Water Resources Engineering → Dimensional Analysis & Similitude → Buckingham Pi Theorem
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Question
The drag force, , on a sphere kept in a uniform flow field depends on the diameter of the sphere, ; flow velocity, ; fluid density, ; and dynamic viscosity, . Which of the following options represents the non-dimensional parameters which could be used to analyze this problem?
Correct answer
(C) (F_D)/(ρ V² D²) and (ρ VD)/(μ)
Solution
Using Buckingham Pi Theorem, we have 5 variables () and 3 fundamental dimensions (). Thus, there are non-dimensional terms.
Commonly used non-dimensional groups for drag on a sphere are:
Commonly used non-dimensional groups for drag on a sphere are:
1.Drag Coefficient
2.Reynolds Number
Option (C) correctly identifies these two parameters as dimensionless groups.Continue learning with Success Tracker
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