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What do you understand by orthogonal curvilinear coordinates ? obtain expression for gradient of a scaler in this coordinate system?
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What do you understand by orthogonal curvilinear coordinates ? obtain ...
A set of coordinates u = u(x, y, z), v = v(x, y, z) and w = w(x, y, z) where the directions at any point indicated by u, v and w are orthogonal (perpendicular) to each other is referred to
as a set of orthogonal curvilinear coordinates.
The gradient is defined by df = ∇f · dx.
We can also express df as, df =(∂f/ ∂uj) duj
or ∇f = (Ej/ hj)( ∂f/ ∂uj)
∇ = (Ej /hj) (∂/ ∂uj)
[since, Eˆj = (∂x/ ∂sj)( ∂sj/ duj), where ∂sj
is the elementary arc length along γj]
The gradient is defined by df = ∇f · dx.
We can also express df as, df =(∂f/ ∂uj) duj
or ∇f = (Ej/ hj)( ∂f/ ∂uj)
∇ = (Ej /hj) (∂/ ∂uj)
[since, Eˆj = (∂x/ ∂sj)( ∂sj/ duj), where ∂sj
is the elementary arc length along γj]
Community Answer
What do you understand by orthogonal curvilinear coordinates ? obtain ...
A scalar system is a directional one i think the curves get cancelled each other by co ordinates sign that could happen
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What do you understand by orthogonal curvilinear coordinates ? obtain expression for gradient of a scaler in this coordinate system?
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What do you understand by orthogonal curvilinear coordinates ? obtain expression for gradient of a scaler in this coordinate system? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about What do you understand by orthogonal curvilinear coordinates ? obtain expression for gradient of a scaler in this coordinate system? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What do you understand by orthogonal curvilinear coordinates ? obtain expression for gradient of a scaler in this coordinate system?.
What do you understand by orthogonal curvilinear coordinates ? obtain expression for gradient of a scaler in this coordinate system? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about What do you understand by orthogonal curvilinear coordinates ? obtain expression for gradient of a scaler in this coordinate system? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What do you understand by orthogonal curvilinear coordinates ? obtain expression for gradient of a scaler in this coordinate system?.
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