We were discussing the basic
concept of Lagrangian and
Eulerian method, Types of fluid flow, Discharge or flow rate, Continuity equation in three dimensions and continuity equation in cylindrical polar coordinates, in the subject of
fluid mechanics, in our recent posts.

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Now we will go ahead to understand the
basic concept of local acceleration and convective acceleration, in the field
of fluid mechanics, with the help of this post.

Before going ahead, we need to find out
the term total acceleration of a fluid particle in a flow field.

Let us consider that V is the resultant
velocity of a fluid particle at a point in a flow filed. Let us assume that u,
v and w are the components of the resultant velocity V in x, y and z direction
respectively.

We can define the components of
resultant velocity V as a function of space and time as mentioned here.

Total acceleration is basically divided
in two components i.e. local acceleration and convective acceleration.

We will first see here the basic concept
of local acceleration and later we will find out the convective acceleration.

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**Local
acceleration**

Local acceleration is basically defined
as the rate of increase of velocity with respect to time at a given point in
the flow filed.

Local acceleration is basically due to
the change in local velocity of the fluid particle as function of time.

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**Convective
acceleration**

Convective acceleration is basically
defined as the rate of change of velocity due to change of position of fluid
particle in fluid flow field.

Convective acceleration is basically due
to the fluid particle being convected from one given location to another
location in fluid flow field and second location being of higher or lower
velocity.

Convective acceleration is also termed
as advective acceleration.

We will discuss another term i.e. "Velocity potential function and streamline function", in our next post, in the field of fluid mechanics.

Do you have any suggestions? Please
write in comment box.

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**
Reference:**

Fluid mechanics, By R. K. Bansal

Image Courtesy: Google

Nice lessons notes

ReplyDeleteEverything is very well explained

ReplyDelete