On the existence of the solution of non-linear coupled ordinary differential equation arising in swirling flow in rotating frame of references

Abstract

In this article, the steady, incompressible fluid above a radially stretching rotating disk is investigated regarding rotating frame of reference. The three dimensional Navier-Stokes equations are transformed into ordinary differential equation group by a suitable similarity transformation. In particular, an attempt has been made to prove existence results of the solution by using topological shooting argument. At the end, numerical results have been described with all possible physical interpretation to validate our existence results.

Subject Classification:

• 34B08
• 34B15
• 34B60
• 34C12
• 76D03

Keywords:

• Similarity solutions
• Non-linear similarity equation
• Existence
• Topological Shooting argument
• Rotating frame