Navier Stokes Equation its Analytical and Numerical Solution.pptx
1. Navier Stokes Equation its Analytical
and Numerical Solution
Parallel Flow in Channel
Presented By: Mushahid Yasin
2. Sr No. Analytical Approximate
1 When the governing BVP is integrated
using the methods of CDE
An approximate solution results when
methods such as series expansion.
2 Expression giving the dependent
variable(s) as a function(s) of the
independent variable(s)
Result is in the form of series and its
accuracy depend on how many terms are
included in final form.
3
At h at t=0
Different Type of Solutions to Equations
dv
g
dt
dv gdt
1
v gt C
1 0
C
v gt
5. Parallel Flow in Channel
• Parallel flows, since the flow is constrained by the flat
parallel walls of the channel, no component of the
velocity in the y direction is possible, i.e., v= 0. This
implies
Parallel flow through a straight channel.