Table of Contents
- 1 Why streamlines and potential lines are mutually perpendicular to each other?
- 2 What is the value of angle between stream line and equipotential lines at the point of intersection in the flow net?
- 3 How velocity potential and stream function are orthogonal to each other?
- 4 What is the part represented by the stream lines?
- 5 Why is velocity zero at stagnation point?
Why streamlines and potential lines are mutually perpendicular to each other?
The streamlines ψ and equipotential lines Φ are mutually perpendicular to each other. The stream lines are so spaced that rate of flow Q is same between each successive pair of lines. The stream lines in flow net show the direction of flow and the equipotential lines join the points the equal velocity potential Φ.
What is the difference between Streamline and equipotential line?
Streamline: It is an imaginary curve drawn in space such that tangent drawn to it at any point will give the velocity of that fluid particle at a given instant of time. Equipotential line: A line along which velocity potential function (ϕ) is constant is known as the equipotential line.
What is the value of angle between stream line and equipotential lines at the point of intersection in the flow net?
Properties of Flow Net: The angle of the intersection between each flow line and the equipotential line must be 90° which means they should be orthogonal to each other.
Does velocity potential exist at stagnation points?
The Bernoulli equation shows that the static pressure is highest when the velocity is zero and hence static pressure is at its maximum value at stagnation points: in this case static pressure equals stagnation pressure….Notes.
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How velocity potential and stream function are orthogonal to each other?
The product of slope of equipotential line and streamline is obtained as -1. This means, both the lines are orthogonal to each other. Hence, knowing the value of stream function, the velocity potential value is determined or vice versa.
What is the characteristic of stagnation point?
Explanation: Stagnation point is the point in fluid mechanics where the velocity of the fluid at that point is zero. Stagnation points occur at places where the fluid is brought to a state of rest by an object. They usually exist at the surface of objects.
What is the part represented by the stream lines?
Explanation: The streamlines represent a path along which the water flows through the subsoil. Every particle entering the upstream will trace its own path and represents its own streamline. 3.
What is equipotential line and flow line?
Flow lines represent the path of flow along which the water will seep through the soil. Equipotential lines are formed by connecting the points of equal total head.
Why is velocity zero at stagnation point?
As the flow approaches the plate its velocity changes and the Bernoulli equation indicates that this will be associated with pressure changes. Along the centerline, the stagnation streamline, the flow velocity decreases to zero at the stagnation point – the point of intersection of the streamline and the surface.
Why does stagnation point occur?
Stagnation points exist at the surface of objects in the flow field, where the fluid is brought to rest by the object. The Bernoulli equation shows that the static pressure is highest when the velocity is zero and hence static pressure is at its maximum value at stagnation points.