Exact Solutions of the Boundary Layer Equations
Equations (41) to (43), together with the Bernoullis equation give the following
Boundary Layer Equations.
Continuity Equation
(1)
S-Momentum Equation
(2)
where: , ,
Boundary Conditions:
For : and
For :
(3)

Conservation Equations
1. Reynolds Transport Theorem
The theorem, which permits transformation of material derivatives of the volume integral
to Eulerian derivatives of the volume integral, is referred to as the Reynolds Transport
Theorem. Mathematically

EXACT SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
The Navier-Stokes equations together with the Continuity equation constitute a set of
four equations in four unknowns: u, v, w and p (incompressible flow) and their solution
consequently represents the flow f

DERIVATION OF PRANDTLS BOUNDARY LAYER EQUATIONS
(FOR 2-D INCOMPRESSIBLE FLOW)
The 2-D incompressible Navier Stokes equations in the dimensional form, with no body force
and heat source term, are as follows.
Continuity Equation:
* v* = 0
(1)
Momentum Equa