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Research Article

Year : 2018 | Volume: 4 | Issue: 1 | Pages: 37-44

Perturbation Unsteady Fluid Solutions of Newtonian Fluid

Shakeel Ahmed1*, Nazir A Mir2

http://dx.doi.org/doi:10.18831/djcivil.org/12018011008

Corresponding author

Shakeel Ahmed*

Department of Mathematics & Statistics, Riphah International University.

  • 1. Department of Mathematics & Statistics, Riphah International University.

Received on: 2017/02/14

Revised on: 2017/07/29

Accepted on: 2018/01/27

Published on: 2018/02/06

Abstract

In this paper, we have given the unsteady fluid solutions of Newtonian fluid. The study is given in 3- different directions, that is: (i) flow in terms of constant velocity, (ii) flow because of acceleration, (iii) flow that deforms. In these flow types, the solution is obtained by applying the Fourier transform & perturbation method in the zeroth & first velocities in the form of integrals. The graphs are given for different values of time, viscosity & Newtonian fluid showing that the velocity profile increases in terms of the values, t & a.

Keywords

1-D fluid, Perturbation method, Fourier transform, Unsteady fluid, Newtonian fluid.