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To Derive Generalised (3D, Steady and Unsteady, with or without Heat Generation) Condition Equation. | Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering PDF Download

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FAQs on To Derive Generalised (3D, Steady and Unsteady, with or without Heat Generation) Condition Equation. - Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering

1. What is a generalised condition equation for 3D steady flow without heat generation?
Ans. The generalised condition equation for 3D steady flow without heat generation is given by the equation: ∇^2Φ = 0, where ∇^2 represents the Laplacian operator and Φ represents the potential function.
2. How does the generalised condition equation change when heat generation is included in the 3D steady flow?
Ans. When heat generation is included in the 3D steady flow, the generalised condition equation becomes: ∇^2Φ + Q = 0, where Q represents the heat generation term.
3. What is the generalised condition equation for 3D unsteady flow without heat generation?
Ans. The generalised condition equation for 3D unsteady flow without heat generation is given by the equation: ∂Φ/∂t + ∇^2Φ = 0, where ∂Φ/∂t represents the time derivative of the potential function.
4. How does the generalised condition equation change when heat generation is included in the 3D unsteady flow?
Ans. When heat generation is included in the 3D unsteady flow, the generalised condition equation becomes: ∂Φ/∂t + ∇^2Φ + Q = 0, where Q represents the heat generation term.
5. What are the applications of the generalised condition equation in fluid dynamics?
Ans. The generalised condition equation is widely used in fluid dynamics to analyze and solve problems related to fluid flow, heat transfer, and mass transfer. It can be applied to various engineering fields such as aerospace, automotive, and chemical engineering to study the behavior of fluids in different scenarios.
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