Question
Download Solution PDFVerify whether the following functions are valid potential functions.
(i)
(ii) ϕ = Acos x
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Properties of Potential functions:
1. If velocity potential (ϕ) exists, the flow should be irrotational.
2. If velocity potential (ϕ) satisfies the Laplace equation, it represents the possible steady incompressible irrotational flow.
Calculation:
Given:
(i)
(I)
(ii) ϕ = Acos x
Thus (i) is a valid potential function as it satisfies the Laplace equation, whereas (ii) is not a valid potential function as it does not satisfy Laplace equation.
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