Sentence examples for boundary layer equations for from inspiring English sources
The homogeneous model will be introduced to the boundary layer equations for modeling the nanofluid.
The similarity solution of the boundary layer equations for a nonlinearly stretching sheet has been found by Akyildiz et al. [19].
The governing boundary layer equations for momentum, thermal energy and concentration are reduced using a similarity transformation to a set of coupled ordinary differential equations.
Using a similarity transformation, the governing time-dependent boundary layer equations for the momentum, heat and mass transfer were reduced to a set of ordinary differential equations.
Similarity transformations are used to transform the governing nonlinear boundary layer equations for momentum, thermal energy and concentration to a system of nonlinear ordinary coupled differential equations with fitting boundary conditions.
This observation is consistent with the observation of Burde [14], where it is noted that certain solutions of the boundary layer equations for axially symmetric pipe flow are also exact solutions of the full axially symmetric Navier-Stokes equations.
The analysis is based on the two-dimensional steady-state heat conduction equation and laminar boundary layer equation for the flowing fluid by using a finite difference scheme.
The governing boundary-layer equations for this problem are reduced to a non-similar form and are solved numerically by an implicit finite-difference technique.
Thus, similarity solutions have been derived for the boundary layer equations as well as for an analytical solution of the Navier Stokes equations.
Due to the decoupled boundary layer equations (7) and (8), for ε = 0, it has been found that there is a unique value of the skin friction coefficient, f ″ ( 0 ) = 1.2325877, which is in very good comparison with the classical value f ″ ( 0 ) = 1.232588 reported by Hiemenz [34].
Numerical solutions of the boundary layer equations are obtained and discussion is provided for several values of the nanofluid parameters governing the problem.
