Abstract Paper


Journal of Computational Mathametica

Title : A Complex Variable Method for Secondary Flow in A Slowly Rotating Straight Elliptic Pipe
Author(s) : 1 R.Vijayaragavan
Article Information : , 55-70
Affiliation(s) : 1 Associate Professor, Department of Mathematics, Thiruvalluvar University, Serkkadu, Vellore, Tamil Nadu, S.India.

Abstract :

A complex variable method is proposed in this paper to find the closed form expressions for non-dimensional stream function and velocity component in the primary and secondary flows of a viscous incompressible fluid through a straight elliptic pipe rotating about an axis through any diameter. This method works successfully whenever the cross-section of the pipe is expressed in the form Z ¯ Z = f (Z) + f(Zbar)where Z = x + iy and f (Zbar) is the complex conjugate of f (Z), x and y being rectangular Cartesian co-ordinates in a cross-section of the pipe. The streamline pattern for the secondary flow is discussed in detail along and near the edge of rotating pipe.


Keywords : Secondary flow, rotation, Reynolds number, complex conjugate.
Document Type : Research Paper
DOI : A Complex Variable Method for Secondary Flow in A Slowly Rotating Straight Elliptic Pipe
Publication date : December 24, 2017