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In an AJM process, if Q = flow rate of abrasives and d = mean diameter of the abrasives, then MRR is proportional to
[2007]
  • a)
    Q/d2
  • b)
    Qd
  • c)
    Qd2
  • d)
    Qd3
Correct answer is option 'D'. Can you explain this answer?
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In an AJM process, if Q = flow rate of abrasives and d = mean diameter...
In abrasive jet machining.MRR 
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In an AJM process, if Q = flow rate of abrasives and d = mean diameter...
In abrasive jet machining.MRR 
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In an AJM process, if Q = flow rate of abrasives and d = mean diameter...
AJM Process and MRR

In an Abrasive Jet Machining (AJM) process, the flow rate of abrasives (Q) and the mean diameter of the abrasives (d) play a significant role in determining the Material Removal Rate (MRR). MRR refers to the amount of material that can be removed per unit of time.

MRR and Abrasives
The MRR in AJM is directly proportional to the flow rate of abrasives (Q) and the mean diameter of the abrasives (d). This means that as Q and d increase, the MRR also increases. The relationship between MRR, Q, and d can be represented as follows:

MRR ∝ Q * d^3

Explanation of the Relationship
To understand why MRR is proportional to Q * d^3, let's break it down:

1. Flow Rate of Abrasives (Q):
The flow rate of abrasives refers to the amount of abrasive material that is delivered to the workpiece per unit of time. The higher the flow rate of abrasives, the greater the number of abrasive particles that can interact with the workpiece surface. This increases the material removal capacity of the process.

2. Mean Diameter of Abrasives (d):
The mean diameter of abrasives represents the average size of the abrasive particles used in the AJM process. Larger abrasive particles have a greater impact force and can remove material more efficiently. Hence, an increase in the mean diameter of abrasives leads to a higher MRR.

3. Cubic Relationship:
The MRR is directly proportional to the product of Q and the cube of d, which can be represented as MRR ∝ Q * d^3. The cubic relationship indicates that even a small change in either Q or d can have a significant impact on the MRR. For example, doubling the mean diameter of the abrasives would result in an eight-fold increase in the MRR.

Conclusion
In conclusion, the Material Removal Rate (MRR) in an Abrasive Jet Machining (AJM) process is proportional to the product of the flow rate of abrasives (Q) and the cube of the mean diameter of the abrasives (d). This relationship highlights the importance of optimizing Q and d to achieve higher MRR and improve the efficiency of the AJM process.
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