Match List-I (Pipe flow) with List-II (Type of acceleration) and sele...
For flow through bends, the direction of velocity changes as the fluid moves through the bend but since the flow rate is constant, and if cross-section is uniform the flow is steady, hence only convective acceleration exists.
Similarly for constant flow rate through a straight, uniform diameter pipe, there is no change of velocity, (neither magnitude nor direction) so total acceleration is zero.
For a flow through bend where the discharge is not constant, the velocity changes both due to geometry of pipe and with time, so both local and convective acceleration exist.
For variable discharge through a straight pipe, the velocity will change with time, but it will be same across the whole pipe at any particular time instant, i.e the flow is unsteady but uniform, only local acceleration exists.
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Match List-I (Pipe flow) with List-II (Type of acceleration) and sele...
The correct answer is option 'A': 3-1-2-4.
Explanation:
In pipe flow, there are different types of acceleration that can occur depending on the flow conditions. Let's match the given types of flow with the corresponding types of acceleration:
List-I List-II
a. Flow at constant rate through a bend 1. Zero acceleration
b. Flow at constant rate through a straight uniform diameter pipe 2. Local and convective acceleration
c. Gradually changing flow through a bend 3. Convective acceleration
d. Gradually changing flow through a straight pipe 4. Local acceleration
Now let's explain each of the options:
Option a: Flow at constant rate through a bend - This type of flow occurs when the flow rate remains constant while the fluid flows through a bend in the pipe. In this case, there is no change in velocity or acceleration, so the acceleration is zero. This matches with option 1.
Option b: Flow at constant rate through a straight uniform diameter pipe - This type of flow occurs when the flow rate remains constant and the pipe has a straight and uniform diameter. In this case, there is no change in velocity or acceleration, so the acceleration is zero. This matches with option 1.
Option c: Gradually changing flow through a bend - This type of flow occurs when the flow rate gradually changes as the fluid flows through a bend in the pipe. In this case, there is a change in velocity and acceleration due to the change in flow direction. This matches with option 3.
Option d: Gradually changing flow through a straight pipe - This type of flow occurs when the flow rate gradually changes in a straight pipe, without any bends. In this case, there is a change in velocity and acceleration due to the gradual change in flow conditions. This matches with option 4.
Therefore, the correct match between List-I and List-II is 3-1-2-4, which corresponds to option 'A'.
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