An ideal flow of any fluid must satisfya)Pascal lawb)Newton's law of ...
- One of the fundamental principles used in the analysis of uniform flow is known as the Continuity of Flow. Continuity equation represents the law of conservation of mass.
In general, for unsteady flow, the continuity equation is
(Mass flow rate into the system) - (Mass flow rate out of the system) = Rate of change of storage.
For steady-state condition
(Mass flow rate into the system) - (Mass flow rate out of the system) = 0.
- Pascal's law states that the pressure at a point in a fluid at rest is the same in all directions.
- Viscosity is a property of a fluid by virtue of which it offers resistance to flow. The shear stress at a point in a moving fluid is directly proportional to the shear strain rate. For a one dimensional flow τ = μ(du/dy). The relationship is known as Newton's law of viscosity, and the fluids which obey this law are known as Newtonian fluids.
- The boundary layer of a flowing fluid is the thin layer close to the wall. In a flow field, viscous stresses are very prominent within this layer.
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An ideal flow of any fluid must satisfya)Pascal lawb)Newton's law of ...
Purpose of an Ideal Flow of Fluid
An ideal flow of fluid is a theoretical concept that describes the behavior of fluids in a simplified manner. The flow of fluid must satisfy certain conditions to be considered ideal.
Continuity Equation
The continuity equation is a fundamental principle in fluid dynamics that states that the mass flow rate of a fluid remains constant within a closed system. In an ideal flow of fluid, the continuity equation must be satisfied to ensure that mass is conserved as the fluid moves through the system.
Pascal's Law
Pascal's Law states that in a confined fluid, pressure is transmitted equally in all directions. While this law is important in understanding fluid behavior, it is not a requirement for an ideal flow of fluid.
Newton's Law of Viscosity
Newton's Law of Viscosity describes how fluids resist deformation when subjected to shear stress. While viscosity is an important property of fluids, it is not a condition that must be satisfied for an ideal flow of fluid.
Boundary Layer Theory
Boundary Layer Theory explains the behavior of fluid flow near a solid boundary. While this theory is essential for understanding fluid dynamics, it is not a requirement for an ideal flow of fluid.
In conclusion, the ideal flow of any fluid must satisfy the continuity equation to ensure that mass is conserved throughout the system. Other principles such as Pascal's Law, Newton's Law of Viscosity, and Boundary Layer Theory are important in understanding fluid behavior but are not necessary conditions for an ideal flow of fluid.