What Is the Difference Between Steady and Unsteady Flow?

TL;DR

Steady flow occurs when fluid parameters, such as velocity and viscosity, are not dependent on time, meaning their changes over time are zero. In contrast, unsteady flow involves fluid parameters that vary with time, resulting in changes that are not zero. Understanding this distinction is crucial for analyzing fluid behavior in different contexts.

Transcript

we have already studied one-dimensional two-dimensional and three-dimensional flow which gives us small understanding of kinematics of fluid flow that is flow of a fluid to study this in detail we'll consider a steady flow and an unsteady flow steady flow and unsteady flow now what do you mean by steady flow steady flow is the flow of liquid in whi... Read More

Key Insights

• ⏳ Steady flow is characterized by fluid parameters that are not dependent on time.
• ⏳ Unsteady flow is characterized by fluid parameters that are dependent on time.
• ⏳ In steady flow, the change in fluid parameters with respect to time is zero.
• ⏳ In unsteady flow, the change in fluid parameters with respect to time is not zero.
• 🍩 The u component of velocity in unsteady flow can be represented using the differential equation dou u/dou t = k.
• ⏳ Steady flow and unsteady flow differ in terms of their dependency on time.
• ⏳ Steady flow is independent of time, while unsteady flow is dependent on time.

Questions & Answers

Q: What is steady flow?

Steady flow is the flow of a liquid in which the fluid parameters (velocity, acceleration, and viscosity) are not dependent on time. It means that the change in these parameters with respect to time is zero.

Q: How do we mathematically express steady flow?

Mathematically, we can express steady flow by stating that the change in velocity (dou u/dou t), acceleration (dou a/dou t), and viscosity (dou v/dou t) with respect to time is equal to zero.

Q: What is unsteady flow?

Unsteady flow is a flow in which the fluid parameters (velocity, acceleration, and viscosity) are dependent on time. It means that the change in these parameters with respect to time is not zero.

Q: How can we represent the u component of velocity in unsteady flow?

In unsteady flow, the u component of velocity (velocity along the x direction) is not equal to zero. If it is increasing, we can represent it using the differential equation dou u/dou t = k, where k is a positive variable. Integrating this equation gives us u = kt + c, where u is a function of time.

Summary & Key Takeaways

• Steady flow is the flow of a fluid in which the fluid parameters (velocity, acceleration, and viscosity) are not dependent on time.

• Unsteady flow, on the other hand, is the flow of a fluid in which the fluid parameters are dependent on time.

• In steady flow, the change in velocity, acceleration, and viscosity with respect to time is zero.