InternationaleJournals

AN UNSTEADY LAMINAR VISCOUS FLOW IN A STRAIGHT PIPE OF EQUILATERAL TRIANGULAR CROSS SECTION

                                                                P. Srinivasa Reddy and N.Ch. Pattabhiramacharyulu

            Research Scholar, Department of  Mathematics, Kakatiya University, Warangal - 506 009. A.P. Email: sr_palvai@yahoo.co.in

            Professor (Retd) of Mathematics, National Institute of Technology, Warangal– 506 004, E-mail: pattabhi1933@yahoo.com

 

ABSTRACT:

            The present paper deals with an unsteady laminar viscous flow through a straight tube of an equilateral triangular cross section. The flow is induced by a time dependant periodic pressure gradient f(t) down the tube length, which has been expanded as Fourier trigonometric series. The basic field equation is solved to yield the velocity distribution. Expressions for shear stress on the tube wall and the flow rate across the cross section have been obtained. The cases of flow for large and small frequencies have been derived.

 

 


International eJournal of Mathematics and Engineering

Volume 2, Issue 1, Pages:  795 - 799