Exact solutions of a second-grade fluid via inverse method

In this paper, we present the exact solutions for the equations of motion of a viscous incompressible second-grade fluid. The exact solutions are constructed for steady and unsteady equations by employing inverse method

Riabounchinsky type steady flows of an incompressible fluid of pressure-dependent viscosity

Riabounchinsky type steady plane flows of an incompressible fluid of pressure-dependent viscosity are indicated. An application of a solution is also presented, and velocity profile are also plotted for different values of constant d[1]

Some similarity solutions of inviscid compressible fluid flow equations

Employing one parameter group of transformation some new exact solutions of the equations governing the steady inviscid compressible fluid are determined. Some of the solutions involve arbitrary function enabling us to construct a large number of solutions of the flow equations. The streamline patterns of some of the solutions in unbounded and bounded regions are also presented

Some analytic solutions of the unsteady Navier-stokes Equations

The unsteady Navier-Stokes equations are transformed into steady state equations using lie group theory. The solutions of the steady state equations are determined for the flows for which the vorticity is proportional to psi perturbed by a uniform flow U y and or the flows characterized by y = R[x] + v[psi] and y = Q[x] v[psi]. For some flows streamline patterns are also presented

numerical method for the solution of linear second order boundary value problem

A numerical method for solving the second order linear boundary value problems is presented. The method is tested on twenty B.V.P's and it is found that numerical and exact solutions are in good agreement