Flow of Generalized Burgers’ Fluid Induced by Sawtooth Pulses Stress with Quadratic Edges - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.6, June 2018

Flow of Generalized Burgers’ Fluid Induced by Sawtooth Pulses Stress with Quadratic Edges ()

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DOI: 10.4236/jamp.2018.66106 594 Downloads 1,275 Views

Author(s)

Qamar Sultan¹, Zaib Un Nisa², Mudassar Nazar^1,2*

Affiliation(s)

¹Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan.
²School of Mathematical Sciences, University of Science and Technology of China, Hefei, China.

ABSTRACT

This paper presents the unsteady magnetohydrodynamic (MHD) flow of a generalized Burgers’ fluid between two side walls perpendicular to a plate. The flow is generated from rest at time induced by stress applied on the bottom plate. The stress is assumed to be like sawtooth pulses with quadratic edges. The solutions obtained by means of the Laplace, and Fourier cosine and sine transforms are presented as a sum between the corresponding Newtonian and non-Newtonian contributions. Graphs are sketched for various parameters of interest.

KEYWORDS

Generalized Burgers’ Fluid, Sawtooth Pulses Stress, Fourier Cosine and Sine Transforms

Share and Cite:

Sultan, Q. , Nisa, Z. and Nazar, M. (2018) Flow of Generalized Burgers’ Fluid Induced by Sawtooth Pulses Stress with Quadratic Edges. Journal of Applied Mathematics and Physics, 6, 1258-1277. doi: 10.4236/jamp.2018.66106.

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