What Is Viscosity?

Viscosity is expressed in two distinct forms:

• Dynamic viscosity
• Kinematic viscosity

What is Dynamic Viscosity?

• du/dy = constant of proportionality
• µ = Dynamic viscosity
• τ = Coefficient Euler's equation of motio

Equation of Motion

• Euler's equation of motion

• • p = Density of fluid
  • dA = Cross-sectional area of this fluid element
  • ds = Length of this fluid element
  • dW = Weight of this fluid element
  • P = Pressure on this element at A
  • P+dP = Pressure on this element at B
  • v = velocity of This fluid element

• Bernoulli's equation from Real Fluid

• • P = Pressure on the element at A
  • p = Density of fluid
  • v = Velosity
  • h = elvation
  • g = gravitational elevation

What Is Kinematic Viscosity?

• ∝ = Kinematic viscosity
• µ = Dynamic viscosity
• δ = Density

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Type of Kinematic Viscosity Flow:

• Steady and unsteady flows.
• Uniform and non-uniform flows.
• Laminar and turbulent flows.
• Compressible and incompressible flows.
• Rotational and irrotational flows.
• One, two, and three-dimensional flows.

1. Steady and unsteady flow:

• • dv= change of velocity
  • dt = time
  • ds = length of flow in the direction S

• • dv= change of velocity
  • dt = time
  • ds = length of flow in the direction S

2. Uniform and non-uniform flows:

• • dv = change of velocity
  • dt = time
  • ds = length of flow in the direction S

dv/ds ≠ 0, dp/ds =0

3. Laminar and turbulent flows:

• Laminar flow is also called viscous flow or stream,
• This type of flow is only possible at slow speed and in a viscous fluid

4. Compressible and Incompressible Flows:

5. Rotational and Irrotational Flows.

6. One, Two, and Three-Dimensional Flow:

One-dimensional:

• This is the flow in which the flow parameter such as velocity is a function of time, and one space co-ordinates only, say axis X.
• For a steady one dimensional flow in direction, the velocity is a function of one-space and co-ordinate only.
• The variant of velocities in additional two mutually perpendicular directions is assumed negligible.
• Hence mathematically, for one-dimensional

• Where u, v and w are velocity components in x, y and z directions respectively.

Two-dimensional flow:

• That kind of flow in which the velocity is a function of time and two rectangular space co-ordinates say x and y.
• For a steady two-dimensional flow, the velocity is a function of two space coordinates only.
• The variation of velocity in that third direction is negligible.
• Thus, mathematically for two-dimensional flow

Three-dimensional flow:

• That kind of flow where the velocity is a function of time and also three mutually perpendicular directions.
• However, to get a constant three-dimensional stream, the fluid parameters are functions of three space coordinates (x, y, and z) only.
• Thus, mathematically, for three-dimensional flow

Dynamic Viscosity Vs Kinematic

What Is the Difference Between Kinematic and Dynamic Viscosity?

What Is the Formula of Kinematic Viscosity and Dynamic Viscosity?

Dynamic Viscosity

Dynamic Vs Kinematic Viscosity Units

Kinematic Viscosity and Dynamic Viscosity Formula

Kinematic Viscosity Formula

Dynamic Viscosity Units

Dynamic Viscosity of Water

Dynamic Viscosity Symbol

Dynamic Viscosity of Air

Dynamic Viscosity Formula and Unit

Kinematic Viscosity Unit

Kinematic Viscosity Symbol

Absolute Viscosity Unit

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