What is the continuity equation in fluid dynamics? (2022)

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Question: What is the continuity equation in fluid dynamics? (2022)

Options:

Correct Answer: A1V1 = A2V2

Exam Year: 2022

Solution:

The continuity equation states that the product of the cross-sectional area (A) and the velocity (V) of a fluid remains constant along a streamline.

What is the continuity equation in fluid dynamics? (2022)

What is the continuity equation in fluid dynamics? (2022)

Step 1: Understand that the continuity equation is about fluids moving through a pipe or channel.
Step 2: Recognize that 'cross-sectional area (A)' refers to the size of the pipe or channel at a specific point.
Step 3: Know that 'velocity (V)' is how fast the fluid is moving at that point.
Step 4: The continuity equation tells us that if the area of the pipe gets smaller, the fluid must move faster to keep the flow constant.
Step 5: The equation can be written as A1 * V1 = A2 * V2, where A1 and V1 are the area and velocity at one point, and A2 and V2 are at another point.

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