5/05/2014

Group 3 of fluid mechanics class




We are civil engineering students from UTHM, Malaysia. We create this blog for academic propose. Our group would like to explain and teach about the basic equations in fluid mechanics.


Group member:



PANG WEI KEN
GROUP LEADER




OH JOO SENG
SECRETARY




ONG JUN XANG
COMMITTEE MEMBER




SII HO LUNG
COMMITTEE MEMBER




TAN SIE SHEN
COMMITTEE MEMBER
















5/04/2014

3.5 Equation of continuity


The equation of continuity works under the assumption that the flow in will equal the flow out. This can be useful to solve for many properties of the fluid and its motion :




Flow in = Flow out
Using the known properties of a fluid in one condition, we can use the continuity equation to solve for the properties of the same fluid under other conditions.
This can be expressed in many ways, for example: A1V1 =A2V2. The equation of continuity applies to any incompressible fluid. Since the fluid cannot be compressed (ρ= constant), the amount of fluid which flows into a surface must equal the amount flowing out of the surface.


The Equation of Continuity in compressible flow can be expressed as:
m = ρi1 vi1 Ai1 + ρi2 vi2 Ai2 +...+ ρin vin Ain
    = ρo1 vo1 Ao1 + ρo2 vo2 Ao2 +...+ ρout vout Aout           

where                     
m = mass flow rate (kg/s)
ρ = density (kg/m3)
v = speed (m/s)
A = area (m2)