Abstract Paper
Journal of
Computational Mathametica
Title | : A Complex Variable Method for Secondary Flow in A Slowly Rotating Straight Elliptic Pipe |
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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. |
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Document Type | : Research Paper |
DOI | : A Complex Variable Method for Secondary Flow in A Slowly Rotating Straight Elliptic Pipe |
Publication date | : December 24, 2017 |