Question

The flow field represented by the velocity vector where a, b, and c are constant, is

Answer 1

The velocity field associated with a fluid flow given by. 2 u 20y , ... The acceleration vector is given by. Dq q q q .... represent a possible flow. ..... where a, b and c are known constants.

Answer 2

The given question is not complete. Refer to the below-given question.

The flow field represented by the velocity vector where a, b, and c are constant, is V  = axi + by2j + czt2k where a, b, and c are constant, is

a. Three-dimensional and unsteady

b. two-dimensional and steady

c. three-dimensional and steady

d. two-dimensional and unsteady

Answer:

A correct answer is option (a). The flow field represented by the velocity vector where a, b, and c are constant, is V  = axi + by2j + czt2k where a, b, and c are constant, is Three-dimensional and unsteady.

Explanation:

• I, j, and k are the three unit vectors that make up the velocity vector.
• According to the definition, a three-dimensional vector is a line segment formed in a three-dimensional plane with an initial point known as the tail and an ending point known as the head.
• Three-dimensional flow is a type of flow in which the flow properties depend on time and three directions that are orthogonal to one another. Therefore, we can consider that the three dimensions make up the flow.
• Here, the time-dependent w term of velocity is equal to czt. The flow is hence irregular.
• Unsteady flow is a flow in which the amount of liquid flowing per second varies. Thus, the flow is unsteady.

Thus, The flow field represented by the velocity vector where a, b, and c are constant, is V  = axi + by2j + czt2k where a, b, and c are constant, is Three-dimensional and unsteady.

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